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L: Level (14 / 466)* | SM: Smooth (13 / 173)* | DE: Delay (0 / 0)*† | LI: Level Initial (7) | I: Initial (1 / 38) |
C: Constant (121 / 3,418) | F: Flow (24 / 4,563) | A: Auxiliary (202 / 28,829) | Sub: Subscripts (19) | D: Data (0 / 0) |
G: Game (0 / 0) | T: Lookup (5 / 5)*†† |
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. (1) | .Control (4) | .housingagingchain v15 (28) | .housingagingchain v18 (5) | .housingagingchain v4 testing (4) |
.housingagingchain v5 testing (14) | .housingagingchain v8 (51) | .housingagingchain v9 (1) | HeatPumpModel_v31 (234) |
Quick Links: | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z |
Top | (All) Variables (342 Variables) | ||
Variable Name And Description | .housingagingchain v8 | #0 C |
Active Cohort Indicator (dmnl) Active Cohort Indicator[Cohort] = IF THEN ELSE(INTEGER(( Time- INITIAL TIME)/ Cohort Duration)+1= Cohort-ELMCOUNT( Preexisting Cohorts),1,0) Active Cohort Indicator[Preexisting Cohorts] = 0 Description: The model tracks housing by age, with a cohort representing all housing built between years t0 to t0+D, where t0 is the initial time and D is the width of each cohort (Cohort Duration). If Cohort Duration is 5 years, then the first cohort C1 accumulates all new housing built from t0 to t0+D, the second cohort, C2, accumulates all new housing built from t0+D to t0+2D, and the ith cohort accumulates all new housing built from t0 + iD to t0 + (i+1)D. Note that the INTEGER function rounds (t - t0)/D down, which requires adding 1 to activate the cohort with number corresponding to the value-if-true in the IF THEN ELSE function. Present In 1 View: Used By
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HeatPumpModel_v31 | #1 A |
Actual EEHIC Subsidy for Retrofits (Dollar / House) Actual EEHIC Subsidy for Retrofits[Cohort,Heating and Cooling System] = MIN( Unsubsidized Retrofit Cost[ Cohort, Heating and Cooling System]* Implemented EEHIC Subsidy Proportional Rate for Retrofits, Implemented EEHIC Maximum Subsidy for Retrofits) Description: The actual subsidy for retrofits by the Energy Efficiency Home Improvement Credit, not the expected value. Present In 1 View: Used By
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HeatPumpModel_v31 | #2 A |
Actual HOMES Subsidy for Retrofits (Dollar/ Home) Actual HOMES Subsidy for Retrofits[Cohort,Heating and Cooling System] = IF THEN ELSE( Energy Savings[ Cohort, Heating and Cooling System]< HOMES Cut Off for Savings, HOMES Implemented Lower Subsidy, HOMES Implemented High Subsidy) Description: The lump sum subsidy offered by the Home Owner Managing Energy Savings rebate (from the IRA), as opposed to the expected value. Present In 1 View: Used By
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HeatPumpModel_v31 | #3 A |
Actual MassSave Subsidy for Retrofits (Dollar / House) Actual MassSave Subsidy for Retrofits[Cohort,Heating and Cooling System] = MIN( Unsubsidized Retrofit Cost[ Cohort, Heating and Cooling System]* Implemented MassSave Subsidy Proportional Rate for Retrofits, Implemented MassSave Maximum Subsidy for Retrofits) Description: The actual subsidy offered for retrofits by MassSave, not the expected value. Present In 1 View: Used By
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.housingagingchain v15 | #4 A |
Additional Cost of Building to U Value (Dollar / sf) Additional Cost of Building to U Value[Cohort,Heating and Cooling System] = ((1- Expected MassSave Proportional Subsidy Rate for Retrofits)* Expected Reference Marginal Cost/(1- Sensitivity of Marginal Cost to U Value))*((( Reference U Value/ Code U)^ Sensitivity of Marginal Cost to U Value)* Code U-(( Reference U Value/ Optimal U for New Homes[ Cohort, Heating and Cooling System])^( Sensitivity of Marginal Cost to U Value))* Optimal U for New Homes[ Cohort, Heating and Cooling System])- Expected Lump Sum Subsidy Intensity[New Housing] Description: Assuming optimal U is lower than code U, additional cost of building to optimal U instead of code u. If this cost is negative and optimal U < code U, then building to optimal U is cheaper than building to code. Lump sum subsidies are assumed to only apply to houses that are built to be more energy efficient than code. Calculated using the same method as unsubsidized retrofit costs. Present In 1 View: Used By
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HeatPumpModel_v31 | #5 A |
Affinity of Heating and Cooling Systems (dmnl) Affinity of Heating and Cooling Systems[Cohort,Heat Pump Heating and Cooling,Retrofitting Status,Heating and Cooling System] = IF THEN ELSE( Cost of Switching Heating and Cooling Systems[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]>0,exp(- Sensitivity of Affinity to Cost* Cost of Switching Heating and Cooling Systems[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]/ Reference Lifetime Cost of Heating and Cooling Systems),0) Affinity of Heating and Cooling Systems[Cohort,Fossil Fuel Heating,Retrofitting Status,Heating and Cooling System] = IF THEN ELSE( Cost of Switching Heating and Cooling Systems[ Cohort, Fossil Fuel Heating, Retrofitting Status, Heating and Cooling System]>0,exp(- Sensitivity of Affinity to Cost* Cost of Switching Heating and Cooling Systems[ Cohort, Fossil Fuel Heating, Retrofitting Status, Heating and Cooling System]/ Reference Lifetime Cost of Heating and Cooling Systems),0) Description: The affinity of switching from each heating and cooling combination to each other one. If the model assumes that no one switches from one combination to another, as indicated by zero in the cost variable, then the affinity is zero. Present In 1 View: Used By
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HeatPumpModel_v31 | #6 A |
Affinity of Not Retrofitting (dmnl) Affinity of Not Retrofitting[Cohort,Heating and Cooling System] = exp(- Sensitivity of Retrofits to Cost* Perceived Cost of Not Retrofitting[ Cohort, Heating and Cooling System]/ Reference Retrofit Cost) Description: The affinity of not retrofitting; the utility or NPV of not retrofitting is just retrofit costs - energy costs saved. Present In 1 View: Used By
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.housingagingchain v4 testing | #7 A |
Affinity of Retrofitting (dmnl) Affinity of Retrofitting[Cohort,Heating and Cooling System] = exp(- Sensitivity of Retrofits to Cost* Perceived Cost of Retrofitting[ Cohort, Heating and Cooling System]/ Reference Retrofit Cost) Description: Affinity of retrofitting, where utility value is equal to its NPV. Present In 2 Views: Used By
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.housingagingchain v8 | #8 F,A |
Age Removal (House * Year /Year) Age Removal[Cohort,Retrofitting Status] = SUM( Demolitions[ Cohort, Heating and Cooling System!, Retrofitting Status])* Average Age[ Cohort, Retrofitting Status] Description: Total age lost as houses are destroyed, scrapped, etc. Present In 1 View: Used By
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.housingagingchain v8 | #10 F,A |
Aging (House * Year / Year) Aging[Cohort,Retrofitting Status] = Aging per Year*SUM( Housing[ Cohort, Heating and Cooling System!, Retrofitting Status]) Description: Amount of years added to the housing stocks' total age per year. Because houses age 1 year per year, this is simply 1 multplied by the number of houses per cohort. Present In 1 View: Used By
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.housingagingchain v8 | #9 C |
Aging per Year (Year / Year) = 1 Description: Number of years a house ages per year (which must be one), used to ensure dimensional consistency and make the model clearer Present In 1 View: Used By
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HeatPumpModel_v31 | #11 C |
Amoritization Period (Year ) = 20 Description: Time period over which incurred retrofit cost is amoritized; should be related to lifetime of a home. Present In 1 View: Used By
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.housingagingchain v15 | #12 A |
Amoritized Subsidized Retrofit Cost (Dollar / (House * Year)) Amoritized Subsidized Retrofit Cost[Cohort,Heating and Cooling System] = Subsidized Retrofit Cost[ Cohort, Heating and Cooling System]/ Amoritization Period Description: The incurred total retrofit cost amoritized over the specified amoritization period. Present In 3 Views: Used By
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HeatPumpModel_v31 | #13 F,A |
Annual Federal Subsidies (Dollar / Year) = Federal Annual Heat Pump Subsidy+ Federal Annual Retrofit Subsidy Description: The amount of money the federal government spends on subsidies for heat pumps and retrofits, each year. Present In 1 View: Used By
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HeatPumpModel_v31 | #14 F,A |
Annual Heat Pump Subsidy (Dollar / Year) = Federal Annual Heat Pump Subsidy+ Massachusetts Annual Heat Pumps Subsidy Description: The amount of money the government spends to subsidize heat pumps, including state and federal government. Present In 1 View: Used By
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HeatPumpModel_v31 | #15 A |
Annual Load from Heat Pumps (kBTU / Year) = SUM( Energy Use by Grouping[ Cohort!, Heat Pump Heating and Cooling!, Retrofitting Status!]) Description: The load on the electric grid from servicing heating and cooling demand from heat pumps, across the whole year. Present In 1 View: Used By
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HeatPumpModel_v31 | #16 F,A |
Annual MA Subsidies (Dollar / Year) = Massachusetts Annual Retrofit Subsidy+ Massachusetts Annual Heat Pumps Subsidy Description: The subsidies that the Massachusetts state government gives out per year for both retrofits and heat pumps. Present In 1 View: Used By
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HeatPumpModel_v31 | #17 F,A |
Annual Retrofit Subsidy (Dollar / Year) = Federal Annual Retrofit Subsidy+ Massachusetts Annual Retrofit Subsidy Description: The subsidies for retrofits paid out every year. Present In 1 View: Used By
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HeatPumpModel_v31 | #18 A |
Annual Subsidies (Dollar / Year) = Annual Heat Pump Subsidy+ Annual Retrofit Subsidy Description: The amount of subsidies spent on heat pumps and retrofits every year. Present In 1 View: Used By |
.housingagingchain v8 | #21 L |
Area (sf) Area[Cohort,Not Open to Retrofitting] = ∫( Area of New Homes[ Cohort]- Net Area Shift due to Retrofit Status Switching[ Cohort])- Area Removal[ Cohort,Not Open to Retrofitting] dt + Initial Area[ Cohort]*(1.0- Fraction Retrofitting by Cohort[ Cohort]) Area[Preexisting Cohorts,Not Open to Retrofitting] = ∫(- Net Area Shift due to Retrofit Status Switching[ Preexisting Cohorts])- Area Removal[ Preexisting Cohorts,Not Open to Retrofitting] dt + Initial Area[ Preexisting Cohorts]*(1.0- Fraction Retrofitting by Cohort[ Preexisting Cohorts]) Area[Cohort,Open to Retrofitting] = ∫ Net Area Shift due to Retrofit Status Switching[ Cohort]- Area Removal[ Cohort,Open to Retrofitting] dt + Initial Area[ Cohort]* Fraction Retrofitting by Cohort[ Cohort] Area[Preexisting Cohorts,Open to Retrofitting] = ∫ Net Area Shift due to Retrofit Status Switching[ Preexisting Cohorts]- Area Removal[ Preexisting Cohorts,Open to Retrofitting] dt + Initial Area[ Preexisting Cohorts]* Fraction Retrofitting by Cohort[ Preexisting Cohorts] Description: "Total" Area for each cohort of housing . This is determined by the inflows and outflows into and out of each cohort, multiplied by the average energy use intensity in each cohort. Present In 2 Views: Used By
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.housingagingchain v8 | #19 F,A |
Area of New Homes (sf / Year) Area of New Homes[Cohort] = Average Area of Housing Starts*SUM( Housing Starts[ Cohort, Heating and Cooling System!]) Description: The total Area added by the construction of new homes, by cohort. Present In 1 View: Used By
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.housingagingchain v8 | #20 F,A |
Area Removal (sf /Year) Area Removal[Cohort,Retrofitting Status] = Average Area[ Cohort, Retrofitting Status]*SUM( Demolitions[ Cohort, Heating and Cooling System!, Retrofitting Status]) Description: Total area lost as houses are destroyed, scrapped, etc. Present In 1 View: Used By
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.housingagingchain v8 | #24 L |
Autocorrelated Noise (Dimensionless) = ∫ Change in AC Noise dt + 0.0 Description: First-order autocorrelated noise. Provides a realistic noise input to models in which the next random shock depends in part on the previous shocks. The user can specify the correlation time. The mean is 0 and the standard deviation is specifiedby the user. Present In 1 View: Used By
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.housingagingchain v8 | #22 L |
Autocorrelated Noise 0 (Dimensionless) = ∫ Change in AC Noise 0 dt + 0.0 Description: First-order autocorrelated noise. Provides a realistic noise input to models in which the next random shock depends in part on the previous shocks. The user can specify the correlation time. The mean is 0 and the standard deviation is specifiedby the user. Present In 1 View: Used By
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HeatPumpModel_v31 | #23 L |
Autocorrelated Noise 1 (Dimensionless) = ∫ Change in AC Noise 1 dt + 0.0 Description: First-order autocorrelated noise. Provides a realistic noise input to models in which the next random shock depends in part on the previous shocks. The user can specify the correlation time. The mean is 0 and the standard deviation is specifiedby the user. Present In 1 View: Used By
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.housingagingchain v8 | #26 A |
Average Age (Year) Average Age[Cohort,Retrofitting Status] = ZIDZ( Total Age[ Cohort, Retrofitting Status], Housing by Cohort and Retrofitting Status[ Cohort, Retrofitting Status]) Description: The age per house in each cohort and energy source. Assumes that age is constant across heating and cooling systems within each cohort and retrofitting status. Present In 1 View: Used By
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.housingagingchain v8 | #25 A |
Average Age in All Housing (Year) = ZIDZ(SUM( Total Age[ Cohort!, Retrofitting Status!]), Total Housing Stock) Description: Average age of houses, regardless of cohort Present In 2 Views: Used By |
HeatPumpModel_v31 | #29 A |
Average Area (sf / House) Average Area[Cohort,Retrofitting Status] = ZIDZ( Area[ Cohort, Retrofitting Status], Housing by Cohort and Retrofitting Status[ Cohort, Retrofitting Status]) Description: Average area by cohort and retrofitting status (assume it's the same across heating and cooling systems). Present In 7 Views:
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.housingagingchain v8 | #27 A |
Average Area in All Housing (sf/ House) = ZIDZ( Total Area, Total Housing Stock) Description: The average are of all houses, regardless of what group they're in. Present In 2 Views: Used By
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HeatPumpModel_v31 | #28 A |
Average Area of Housing Starts (sf / House) = Increase in Area per Year*( Time- INITIAL TIME)+ Initial Average Area of Housing Starts Description: The average area of housing starts. Present In 2 Views: Used By
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HeatPumpModel_v31 | #31 A |
Average Cooling Cost (Dollar / (Year * House)) Average Cooling Cost[Cohort,Heating and Cooling System,Retrofitting Status] = Expected Cooling Energy Price* Average Cooling Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status] Description: The average costs for keeping a home cool, by grouping. Present In 2 Views: Used By
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HeatPumpModel_v31 | #30 A |
Average Cooling Cost Across All Homes (Dollar / House/ Year) = Total Cooling Cost/SUM( Housing[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: The average cost to cool a home, for all cohorts and systems. Present In 1 View: Used By |
HeatPumpModel_v31 | #33 C |
Average Cooling Energy Use (kBTU / (Year * House)) Average Cooling Energy Use[Cohort,Heating and Cooling System,Retrofitting Status] = U Value by Grouping[ Cohort, Heating and Cooling System, Retrofitting Status]* Average Area[ Cohort, Retrofitting Status]* Cooling Degree Days/ Cooling System Efficiency[ Heating and Cooling System] Average Cooling Energy Use[Cohort,No AC Cooling,Retrofitting Status] = 0 Description: The average energy use for cooling. Calculated by setting efficiency times a house's cooling energy use equal to total cooling temperature differential (CDD), multiplied by U (or divided by R), and solving for energy use. Present In 3 Views: Used By
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HeatPumpModel_v31 | #32 A |
Average Cooling Energy Use Across All Homes (kBTU / Year / House) = ZIDZ( Total Cooling Energy Use, Total Housing Stock) Description: The amount of energy an average home spends on cooling, regardless of cohort, retrofit status, etc. Present In 1 View: Used By |
HeatPumpModel_v31 | #34 A |
Average Daily Load from Heat Pumps (kBTU / Day) = Annual Load from Heat Pumps/ Days per Year Description: The average load on the electric grid from heat pumps, per day. Present In 1 View: Used By |
HeatPumpModel_v31 | #39 A |
Average Emissions (tCO2 / House / Year) = ZIDZ( Emissions, Total Housing Stock) Description: The average CO2 emissions for a household, not disaggregated into any grouping. Present In 1 View: Used By |
HeatPumpModel_v31 | #35 A |
Average Emissions by Grouping (tCO2 / (Year * House)) Average Emissions by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = Average Emissions from Cooling by Grouping[ Cohort, Heating and Cooling System, Retrofitting Status]+ Average Emissions from Heating by Grouping[ Cohort, Heating and Cooling System, Retrofitting Status] Description: The total average emissions from heating and cooling, by cohort, retrofitting status, and Heating and Cooling System. Present In 2 Views: Used By
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HeatPumpModel_v31 | #36 A |
Average Emissions by Heating and Cooling System (tCO2 / Year / House) Average Emissions by Heating and Cooling System[Heating and Cooling System] = ZIDZ( Emissions by Heating and Cooling System[ Heating and Cooling System], Housing by Heating and Cooling System[ Heating and Cooling System]) Description: The average CO2 emissions for each house, by heating and cooling system. Present In 2 Views: Used By |
HeatPumpModel_v31 | #37 A |
Average Emissions from Cooling by Grouping (tCO2 / (House * Year)) Average Emissions from Cooling by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = Average Cooling Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status]* Cooling Emissions Factor/ Pounds per Ton Description: The GHG emissions from cooling the average home, by cohort, heating and cooling system, and retrofitting status. Present In 1 View: Used By
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HeatPumpModel_v31 | #38 A |
Average Emissions from Heating by Grouping (tCO2 / (House * Year)) Average Emissions from Heating by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = Average Heating Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status]* Heating Emissions Factors[ Heating and Cooling System]/ Pounds per Ton Description: Disaggregated carbon dioxide emissions from heating for each house, by cohort, retrofitting status, etc. Present In 1 View: Used By
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HeatPumpModel_v31 | #40 A |
Average Energy Cost (Dollar / (Year * House)) Average Energy Cost[Cohort,Heating and Cooling System,Retrofitting Status] = Average Cooling Cost[ Cohort, Heating and Cooling System, Retrofitting Status]+ Average Heating Cost[ Cohort, Heating and Cooling System, Retrofitting Status] Description: The average cost of both heating and cooling a home, by grouping. Present In 2 Views: Used By
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.housingagingchain v15 | #41 A |
Average Energy Costs for Retrofitting Home (Dollar / Year / House) Average Energy Costs for Retrofitting Home[Cohort,Heating and Cooling System] = Average Energy Cost[ Cohort, Heating and Cooling System,Open to Retrofitting] Description: Heating costs for each home open to retrofitting, annually, if no further retrofit measures are undertaken. Present In 2 Views: Used By
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.housingagingchain v8 | #42 A |
Average Energy Costs if Retrofitted (Dollar/(Year*House)) Average Energy Costs if Retrofitted[Cohort,Heating and Cooling System] = Optimal Energy Cost[ Cohort, Heating and Cooling System,Open to Retrofitting] Description: Energy costs per year for each retrofitting house if homes retrofit to the optimal U value. Present In 2 Views: Used By
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HeatPumpModel_v31 | #45 A |
Average Energy Use (kBTU / (Year * House)) Average Energy Use[Cohort,Heating and Cooling System,Retrofitting Status] = Average Heating Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status]+ Average Cooling Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status] Description: Average energy use to both heat and cool a home. Present In 2 Views: Used By
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HeatPumpModel_v31 | #43 A |
Average Energy Use by Heating and Cooling System (kBTU / (House * Year)) Average Energy Use by Heating and Cooling System[Heating and Cooling System] = ZIDZ(SUM( Energy Use by Grouping[ Cohort!, Heating and Cooling System, Retrofitting Status!]),SUM( Housing[ Cohort!, Heating and Cooling System, Retrofitting Status!])) Description: The average energy use for each home by heating and cooling system. Present In 1 View: Used By |
HeatPumpModel_v31 | #44 A |
Average Energy Use in All Housing (kBTU / Year / House) = Total Energy Use/ Total Housing Stock Description: The average energy use across all stocks. Present In 1 View: Used By
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HeatPumpModel_v31 | #46 A |
Average EUI by Grouping (kBTU / (sf * Year)) Average EUI by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = XIDZ( Average Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status], Average Area[ Cohort, Retrofitting Status], NAREPLACEMENT) Description: The average energy use intensity by grouping Present In 1 View: Used By |
HeatPumpModel_v31 | #47 A |
Average EUI in All Housing (kBTU / (sf * Year)) = Average Energy Use in All Housing/ Average Area in All Housing Description: The average energy use intensity across all housing. Present In 1 View: Used By |
.housingagingchain v5 testing | #49 A |
Average Heating Cost (Dollar / (Year * House)) Average Heating Cost[Cohort,Heating and Cooling System,Retrofitting Status] = Expected Heating Energy Price[ Heating and Cooling System]* Average Heating Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status] Description: The costs per year to heat one house. Present In 2 Views: Used By
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HeatPumpModel_v31 | #48 A |
Average Heating Cost Across All Homes (Dollar / Year / House) = ZIDZ( Total Heating Cost,SUM( Housing[ Cohort!, Heating and Cooling System!, Retrofitting Status!])) Description: The average amount a home spends on heating, regardless of cohort or heating and cooling system. Present In 1 View: Used By |
HeatPumpModel_v31 | #51 A |
Average Heating Energy Use (kBTU / (Year * House)) Average Heating Energy Use[Cohort,Heating and Cooling System,Retrofitting Status] = U Value by Grouping[ Cohort, Heating and Cooling System, Retrofitting Status]* Average Area[ Cohort, Retrofitting Status]* Heating Degree Days/ Heating System Efficiency[ Heating and Cooling System] Description: The average energy use for heating annually. Calculated by setting efficiency times energy use equal to total HDD, multiplied by U (or divided by R) and divided by year (to get annual use), and solving for energy use. Present In 3 Views: Used By
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HeatPumpModel_v31 | #50 A |
Average Heating Energy Use Across All Homes (kBTU / (Year * House)) = ZIDZ( Total Heating Energy Use, Total Housing Stock) Description: The average heating energy use per home, regardless of cohort, system,etc. Present In 1 View: Used By |
HeatPumpModel_v31 | #52 C |
Average Income (Dollar / Hour / House ) = 55 Description: The average income of single family homeowners in Massachusetts. Calculated from 2020 EIA RECS data for MA SFH, where each individual was assigned the average income of their reported income bracket, other than those making more than $150K/year, who were assigned $175,000. Hourly wage calculated by assuming working 8 hours a day, 5 days a week, for 50 weeks in a year. Present In 1 View: Used By
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HeatPumpModel_v31 | #53 A |
Average Indicated Fraction of Homes Retrofitting (dmnl) = SUM( Indicated Homes Retrofitting[ Cohort!, Heating and Cooling System!])/ Total Housing Stock Description: The average fraction of homes that will retrofit retrofitting after decision delayacross all housing. Present In 2 Views: Used By |
HeatPumpModel_v31 | #54 A |
Average Lifetime of Cooling Technology (Years) Average Lifetime of Cooling Technology[Heat Pump Heating and Cooling] = 12.5 Average Lifetime of Cooling Technology[Central AC Cooling] = 12.5 Average Lifetime of Cooling Technology[Window AC Cooling] = 9 Average Lifetime of Cooling Technology[No AC Cooling] = NAREPLACEMENT Description: The average lifetime of each cooling system.Central AC data from: https://www.energy.gov/energysaver/central-air-conditioningWindow AC data from: https://www.consumerreports.org/air-conditioner/is-it-time-to-get-a-new-window-air-conditioner-a1532530762/ Present In 1 View: Used By
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HeatPumpModel_v31 | #55 C |
Average Lifetime of Heating Technology (Year) Average Lifetime of Heating Technology[Heat Pump Heating and Cooling] = 12.5 Average Lifetime of Heating Technology[Gas Heating] = 20 Average Lifetime of Heating Technology[Oil Heating] = 20 Description: The average lifetime of each heating system.Heat pump data from: https://glascohvac.com/heating/heat-pumps/long-heat-pump-last/Gas data from: https://www.carrier.com/residential/en/us/products/furnaces/how-long-does-a-furnaces-last/Oil data from: https://modernize.com/hvac/heating-repair-installation/furnace/oil Present In 1 View: Used By
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HeatPumpModel_v31 | #56 A |
Average Subsidized Retrofit Cost (Dollar / House) = SUM( Housing[ Cohort!, Heating and Cooling System!,Open to Retrofitting]* Subsidized Retrofit Cost[ Cohort!, Heating and Cooling System!])/SUM( Housing[ Cohort!, Heating and Cooling System!,Open to Retrofitting]) Description: The average subsidized retrofit cost across all houses. Present In 1 View: Used By |
HeatPumpModel_v31 | #57 C |
Average Time To Consider Switching (Year ) = 15 Description: The average time it takes for a house to consider switching their heating and cooling system. Present In 2 Views: Used By
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HeatPumpModel_v31 | #58 A |
Average U Value by Heating and Cooling System (kBTU / (sf * F * Year)) Average U Value by Heating and Cooling System[Heating and Cooling System] = ZIDZ( Total U Value by Heating and Cooling System[ Heating and Cooling System], Housing by Heating and Cooling System[ Heating and Cooling System]) Description: The U value of the average house using each heating and cooling system. Present In 1 View: Used By |
.housingagingchain v4 testing | #59 A |
Average U Value in All Housing (kBTU / (sf * F * Year)) = ZIDZ( Total U Value Across All Groupings, Total Housing Stock) Description: The average U Value over the entire housing stock, not disaggregated by any groupings. Present In 1 View: Used By |
HeatPumpModel_v31 | #60 A |
Average U Value of Houses Switching Into Sources (kBTU / (sf * F * Year)) Average U Value of Houses Switching Into Sources[Heating and Cooling System] = XIDZ( U Value Increase from Source Switching[ Heating and Cooling System], Houses Switching Into Sources[ Heating and Cooling System], NAREPLACEMENT) Description: The average U value of houses switching into each source, for each source. Present In 1 View: Used By |
HeatPumpModel_v31 | #61 C |
CDD on Coldest Day (F ) = 17.1 Description: The total CDD from hottest day.Data from https://www.degreedays.net/ for KOWD, weather station nearest to centre of population for MA, Natick. Calculated by finding CDDs from the past three years (February 2021 - January 2024), finding the highest CDD in each year, and averaging them. Following industry standard, used 65°F as set point. Present In 1 View: Used By
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.housingagingchain v8 | #64 F,A |
Change in AC Noise (1/Year) = ( White Noise- Autocorrelated Noise)/ Noise Correlation Time Description: Change in the pink noise value; Pink noise is a first order exponential smoothing delay of the whitenoise input. Present In 1 View: Used By
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.housingagingchain v8 | #62 F,A |
Change in AC Noise 0 (1/Year) = ( White Noise 0- Autocorrelated Noise 0)/ Noise Correlation Time 0 Description: Change in the pink noise value; Pink noise is a first order exponential smoothing delay of the whitenoise input. Present In 1 View: Used By
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HeatPumpModel_v31 | #63 F,A |
Change in AC Noise 1 (1/Year) = ( White Noise 1- Autocorrelated Noise 1)/ Noise Correlation Time 1 Description: Change in the pink noise value; Pink noise is a first order exponential smoothing delay of the whitenoise input. Present In 1 View: Used By
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.housingagingchain v18 | #65 L |
Code U (kBTU / (sf * Year * F)) = ∫- Decrease in Code U dt + Initial Code U Value Description: U of house that is built to standard code.For initial paper, assume that it's constant at a level in between average U and optimal U. Present In 2 Views: Used By
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.housingagingchain v8 | #66 C |
Cohort Duration (Year ) = 10 Description: The width (duration) of each cohort. Present In 2 Views: Used By
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HeatPumpModel_v31 | #67 C |
Cooling Degree Days (F ) = 1029 Description: The difference between temperature setpoint (65 F) and outside temperature for heating. Typically called cooling degree days, but units are solely in terms of fahrenheit.Data from degreedays.net, using the weather station for Norwood Memorial Airport, the closest weather station to the center of MA's population, Natick. Use set point of 65°F, in line with industry standard, as at that temperature little heating or cooling is necessary. Present In 3 Views: Used By
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HeatPumpModel_v31 | #68 C |
Cooling Emissions Factor (lb CO2 / kBTU) = 614/3414.43 Description: Amount of CO2 emitted from using one kBTU to cool a home. Emissions factor is common, and is for electricity.Taken from: https://www.mass.gov/doc/2020-summary-massachusetts-ghg-emissions-reports-for-retail-sellers-of-electricity/download Present In 1 View: Used By
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HeatPumpModel_v31 | #70 A |
Cooling Energy Price (Dollar / kBTU) = Initial Cooling Energy Price* Input 1 Description: Price of cooling a home (through air conditioning), subject to the test input. Present In 3 Views: Used By
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HeatPumpModel_v31 | #69 C |
Cooling Energy Price Step Height 1 (Dimensionless ) = 0 Description: Height of step input to customer orders, as fraction of initial value. Present In 1 View: Used By
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HeatPumpModel_v31 | #71 A |
Cooling Energy Use Under Alternatives (kBTU / (House * Year)) Cooling Energy Use Under Alternatives[Cohort,Heat Pump Heating and Cooling,Not Open to Retrofitting,Heating and Cooling System] = U Value by Grouping[ Cohort, Heat Pump Heating and Cooling,Not Open to Retrofitting]* Average Area[ Cohort,Not Open to Retrofitting]* Cooling Degree Days/ Cooling System Efficiency[ Heating and Cooling System] Cooling Energy Use Under Alternatives[Cohort,Traditional Cooling,Not Open to Retrofitting,Heating and Cooling System] = U Value by Grouping[ Cohort, Traditional Cooling,Not Open to Retrofitting]* Average Area[ Cohort,Not Open to Retrofitting]* Cooling Degree Days/ Cooling System Efficiency[ Heating and Cooling System] Cooling Energy Use Under Alternatives[Cohort,Heating and Cooling System,Retrofitting Status,No AC Cooling] = 0 Cooling Energy Use Under Alternatives[Cohort,Heat Pump Heating and Cooling,Open to Retrofitting,Heating and Cooling System] = MIN( U Value by Grouping[ Cohort, Heat Pump Heating and Cooling,Open to Retrofitting], Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System])* Average Area[ Cohort,Open to Retrofitting]* Cooling Degree Days/ Cooling System Efficiency[ Heating and Cooling System] Cooling Energy Use Under Alternatives[Cohort,Fossil Fuel Heating,Open to Retrofitting,Heating and Cooling System] = MIN( U Value by Grouping[ Cohort, Fossil Fuel Heating,Open to Retrofitting], Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System])* Average Area[ Cohort,Open to Retrofitting]* Cooling Degree Days/ Cooling System Efficiency[ Heating and Cooling System] Description: The cooling energy use of each group, if they were to switch into another heating and cooling source. That is, when they switch, their area and U stays the same, but the energy system's efficiency may change, meaning that each grouping (the first "Heating and Cooling System" subscript) must consider their cooling energy use under alternative systems (the second "Heating and Cooling Source" subscript).Houses that are open to retrofitting consider the optimal U that they'll retrofit to, unless that U is actually greater than their current one. Present In 1 View: Used By
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HeatPumpModel_v31 | #72 A |
Cooling System Efficiency (dmnl) Cooling System Efficiency[Heat Pump Heating and Cooling] = Heat Pump Cooling COP TABLE( Time) Cooling System Efficiency[Central AC Cooling] = 2.93 Cooling System Efficiency[Window AC Cooling] = 2.49* Effect of Air Leakage from Window AC on Efficiency Cooling System Efficiency[No AC Cooling] = NAREPLACEMENT Description: The COP of different air conditioning technologies on an average day. This is not in terms of energy efficiency rating or seasonal efficiency rating, although some are calculated from those figures.For central ac: assume value of tenFor window AC (under portable AC): https://learnmetrics.com/eer-rating/All are very rough, and non-heat pump cooling systems are assumed to have constant efficiency. Present In 4 Views: Used By
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HeatPumpModel_v31 | #73 C |
Cost of Bad Air Conditioning (Dollar / House ) Cost of Bad Air Conditioning[Window AC Cooling] = 80000 Cost of Bad Air Conditioning[No AC Cooling] = 100000 Description: Willingness of Window AC users and those without AC to pay for central AC or heat pumps due to those technologies' inability to heat homes and their noisiness.Chosen to be sufficiently high that very few or no houses choose to keep window AC or no AC. Present In 1 View: Used By
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HeatPumpModel_v31 | #74 C |
Cost of Cooling System Replacement (Dollar / House) Cost of Cooling System Replacement[Heat Pump Heating and Cooling] = Subsidized Cost of Heat Pumps Cost of Cooling System Replacement[Central AC Cooling] = 5800 Cost of Cooling System Replacement[Window AC Cooling] = 1600 Cost of Cooling System Replacement[No AC Cooling] = 0 Description: The cost of installing a cooling system in each house. Assumed to be constant, except for heat pumps.Central AC cost from: https://www.angi.com/articles/how-much-does-installing-new-ac-cost.htmWindow AC cost from: https://homeguide.com/costs/window-ac-unit-cost Present In 1 View: Used By
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HeatPumpModel_v31 | #75 C |
Cost of Heating System Replacement (Dollar / House ) Cost of Heating System Replacement[Heat Pump Heating and Cooling] = Subsidized Cost of Heat Pumps Cost of Heating System Replacement[Gas Heating] = 10000 Cost of Heating System Replacement[Oil Heating] = 7450 Description: The cost of buying and installing a heating system in each house.Took upper limits of estimates for each, since MA tends to be a more expensive state.Oil and gas cost assumed to be constant.Initial heat pump cost is from: https://www.masssave.com/en/residential/rebates-and-incentives/heating-and-cooling/heat-pumps/air-source-heat-pumps, and then I assume that the cost improves in proportion to the trajectory in Mass. gov's deep decarbonization report:Gas furnace cost from: https://www.angi.com/articles/common-gas-furnace-prices.htmOil furnace cost from: https://modernize.com/hvac/heating-repair-installation/furnace/oil Present In 1 View: Used By
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.housingagingchain v15 | #76 A |
Cost of Switching Heating and Cooling Systems (Dollar / House) Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump Only,Retrofitting Status,Heating and Cooling System] = 0 Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump Only,Retrofitting Status,Heat Pump Only] = Total Present Value of Cost[ Cohort,Heat Pump Only, Retrofitting Status,Heat Pump Only] Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump Only,Retrofitting Status,Gas and Central AC] = Total Present Value of Cost[ Cohort,Heat Pump Only, Retrofitting Status,Gas and Central AC]+ Cost of Cooling System Replacement[Gas and Central AC]+ Cost of Heating System Replacement[Gas and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump and Gas,Retrofitting Status,Heating and Cooling System] = 0 Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump and Gas,Retrofitting Status,Heat Pump and Gas] = Total Present Value of Cost[ Cohort,Heat Pump and Gas, Retrofitting Status,Heat Pump and Gas] Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump and Gas,Retrofitting Status,Gas and Central AC] = Total Present Value of Cost[ Cohort,Heat Pump and Gas, Retrofitting Status,Gas and Central AC]+ Cost of Cooling System Replacement[Gas and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Gas and Central AC,Retrofitting Status,Heating and Cooling System] = 0 Cost of Switching Heating and Cooling Systems[Cohort,Gas and Central AC,Retrofitting Status,Heat Pump Only] = Total Present Value of Cost[ Cohort,Gas and Central AC, Retrofitting Status,Heat Pump Only]+ Cost of Heating System Replacement[Heat Pump Only] Cost of Switching Heating and Cooling Systems[Cohort,Gas and Central AC,Retrofitting Status,Heat Pump and Gas] = Cost of Heating System Replacement[Heat Pump and Gas]+ Total Present Value of Cost[ Cohort,Gas and Central AC, Retrofitting Status,Heat Pump and Gas] Cost of Switching Heating and Cooling Systems[Cohort,Gas and Central AC,Retrofitting Status,Gas and Central AC] = Total Present Value of Cost[ Cohort,Gas and Central AC, Retrofitting Status,Gas and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Gas and Window or No AC,Retrofitting Status,Heating and Cooling System] = 0 Cost of Switching Heating and Cooling Systems[Cohort,Gas and Window or No AC,Retrofitting Status,Heat Pump Only] = Cost of Heating System Replacement[Heat Pump Only]+ Total Present Value of Cost[ Cohort, Gas and Window or No AC, Retrofitting Status,Heat Pump Only] Cost of Switching Heating and Cooling Systems[Cohort,Gas and Window or No AC,Retrofitting Status,Heat Pump and Gas] = Cost of Heating System Replacement[Heat Pump Only]+ Total Present Value of Cost[ Cohort, Gas and Window or No AC, Retrofitting Status,Heat Pump and Gas] Cost of Switching Heating and Cooling Systems[Cohort,Gas and Window or No AC,Retrofitting Status,Gas and Central AC] = Cost of Cooling System Replacement[Gas and Central AC]+ Total Present Value of Cost[ Cohort, Gas and Window or No AC, Retrofitting Status,Gas and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump and Gas,Retrofitting Status,Heat Pump Only] = Total Present Value of Cost[ Cohort,Heat Pump and Gas, Retrofitting Status,Heat Pump Only] Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump Only,Retrofitting Status,Oil and Central AC] = Cost of Heating System Replacement[Oil and Central AC]+ Cost of Cooling System Replacement[Oil and Central AC]+ Total Present Value of Cost[ Cohort,Heat Pump Only, Retrofitting Status,Oil and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Oil and Central AC,Retrofitting Status,Heating and Cooling System] = 0 Cost of Switching Heating and Cooling Systems[Cohort,Oil and Central AC,Retrofitting Status,Heat Pump Only] = Cost of Heating System Replacement[Heat Pump Only]+ Total Present Value of Cost[ Cohort,Oil and Central AC, Retrofitting Status,Heat Pump Only] Cost of Switching Heating and Cooling Systems[Cohort,Oil and Central AC,Retrofitting Status,Gas and Central AC] = Cost of Heating System Replacement[Gas and Central AC]+ Total Present Value of Cost[ Cohort,Oil and Central AC, Retrofitting Status,Gas and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Oil and Central AC,Retrofitting Status,Heat Pump and Oil] = Cost of Heating System Replacement[Heat Pump and Oil]+ Total Present Value of Cost[ Cohort,Oil and Central AC, Retrofitting Status,Heat Pump and Oil] Cost of Switching Heating and Cooling Systems[Cohort,Oil and Central AC,Retrofitting Status,Oil and Central AC] = Total Present Value of Cost[ Cohort,Oil and Central AC, Retrofitting Status,Oil and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Oil and Window or No AC,Retrofitting Status,Heating and Cooling System] = 0 Cost of Switching Heating and Cooling Systems[Cohort,Oil and Window or No AC,Retrofitting Status,Heat Pump Only] = Cost of Heating System Replacement[Heat Pump Only]+ Total Present Value of Cost[ Cohort, Oil and Window or No AC, Retrofitting Status,Heat Pump Only] Cost of Switching Heating and Cooling Systems[Cohort,Oil and Window or No AC,Retrofitting Status,Gas and Central AC] = Cost of Heating System Replacement[Gas and Central AC]+ Cost of Cooling System Replacement[Gas and Central AC]+ Total Present Value of Cost[ Cohort, Oil and Window or No AC, Retrofitting Status,Gas and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Oil and Window or No AC,Retrofitting Status,Heat Pump and Oil] = Cost of Heating System Replacement[Heat Pump and Oil]+ Total Present Value of Cost[ Cohort, Oil and Window or No AC, Retrofitting Status,Heat Pump and Oil] Cost of Switching Heating and Cooling Systems[Cohort,Oil and Window or No AC,Retrofitting Status,Oil and Central AC] = Cost of Cooling System Replacement[Oil and Central AC]+ Total Present Value of Cost[ Cohort, Oil and Window or No AC, Retrofitting Status,Oil and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump and Oil,Retrofitting Status,Heating and Cooling System] = 0 Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump and Oil,Retrofitting Status,Heat Pump Only] = Total Present Value of Cost[ Cohort,Heat Pump Only, Retrofitting Status,Heat Pump Only] Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump and Oil,Retrofitting Status,Heat Pump and Gas] = Cost of Heating System Replacement[Gas and Central AC]+ Total Present Value of Cost[ Cohort,Heat Pump and Oil, Retrofitting Status,Heat Pump and Gas] Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump and Oil,Retrofitting Status,Oil and Central AC] = Cost of Cooling System Replacement[Oil and Central AC]+ Total Present Value of Cost[ Cohort,Heat Pump and Oil, Retrofitting Status,Oil and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump and Oil,Retrofitting Status,Heat Pump and Oil] = Total Present Value of Cost[ Cohort,Heat Pump and Oil, Retrofitting Status,Heat Pump and Oil] Description: Affinities of each heating and cooling combination based on which heating and cooling combination houses have. This the numerator of a logit function. Assumes that retirement of systems is not determined by age, and so homes considering to switch heating systems do not have to replace their current one-- but they do have to purchase a system they currently do not have. The cost is determined by present cost of operating (i.e., opeating a system for infinite horizon, as it's included in sale price), in addition to current replacement costs if house does not have a system they're switching into. Any switches we assume are not possible we list as being 0. Present In 1 View: Used By
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HeatPumpModel_v31 | #77 L |
Cumulative Emissions (tCO2) = ∫ Emissions dt + 0.0 Description: The total amount of CO2 emitted into the atmosphere during the course of the model's run. Present In 1 View: Used By |
HeatPumpModel_v31 | #78 L |
Cumulative Federal Subsidy (Dollar) = ∫ Annual Federal Subsidies dt + 0.0 Description: The amount of money the federal government spends on subsidies for heat pumps and retrofits since the beginning of the model's run. Present In 1 View: Used By |
HeatPumpModel_v31 | #79 L |
Cumulative MA Subsidy (Dollar) = ∫ Annual MA Subsidies dt + 0.0 Description: The amount of subsidies that the Massachusetts state government has given out for heat pumps and retrofits since the beginning of the model's run. Present In 1 View: Used By |
HeatPumpModel_v31 | #81 A |
Cumulative Subsidies (Dollar) = Cumulative Subsidy for Retrofits+ Cumulative Subsidies for Heat Pumps Description: The amount spent on subsidies for both heat pumps and retrofits by both since state and federal governments the beginning of the model run. Present In 1 View: Used By |
HeatPumpModel_v31 | #80 L |
Cumulative Subsidies for Heat Pumps (Dollar) = ∫ Annual Heat Pump Subsidy dt + 0.0 Description: The total amount of dollars spent on subsidizing heat pumps throughout the model's run. Present In 1 View: Used By
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HeatPumpModel_v31 | #82 L |
Cumulative Subsidy for Retrofits (Dollar) = ∫ Annual Retrofit Subsidy dt + 0.0 Description: The total amount spent on retrofits since the beginning of the model's run. Present In 1 View: Used By
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HeatPumpModel_v31 | #83 C |
Days per Year (Day / Year ) = 365 Description: The number of days each year. Used to convert yearly measures to daily ones. Present In 1 View: Used By
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.housingagingchain v18 | #84 F,A |
Decrease in Code U (kBTU / (sf * Year * F) / Year) = Code U* Fractional Decrease in Code U Description: The change in code U from policy. Present In 1 View: Used By
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.housingagingchain v15 | #85 C |
Delay in Changing Subsidy Expectations (Year ) = 0.5 Description: Delay in perceiving any changes to subsidies. Assumed to be the same for both subsidies. Present In 1 View: Used By
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.housingagingchain v15 | #86 C |
Delay in Forming Expectations of Energy Price (Year ) = 1 Description: Delay in perceiving changes in energy price. Present In 1 View: Used By
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.housingagingchain v15 | #87 C |
Delay in Forming Expectations of Retrofit Costs (Year ) = 1.5 Description: Delay in perceiving changes in fixed retrofit cost and reference marginal cost. Assumed to be the same for both types of costs. Present In 1 View: Used By
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HeatPumpModel_v31 | #88 C |
Demolition Hazard Rate (1 / Year ) = 0.01 Description: Proportion of homes demolished every year. Value is assumed to be equal across both retrofitting and non-retrofitting homes. Heuristically chosen so total housing stock grows at net 1%/year. Present In 1 View: Used By
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HeatPumpModel_v31 | #89 F,A |
Demolitions (House / Year) Demolitions[Cohort,Heating and Cooling System,Retrofitting Status] = Demolition Hazard Rate* Housing[ Cohort, Heating and Cooling System, Retrofitting Status]*(1- No Turnover Switch) Description: Homes that are destroyed every year. Present In 3 Views: Used By
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HeatPumpModel_v31 | #90 C |
Discount Rate (1 / Year ) = 0.05 Description: Discount rate for discounting energy savings cash flows.Average and bounds from demand-side discount rate from MassDEP's analysis of pathways for net zero (pg. 103): https://www.mass.gov/doc/energy-pathways-for-deep-decarbonization-report/downloadhttps://www.mass.gov/doc/energy-pathways-for-deep-decarbonization-report/download Present In 4 Views: Used By
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HeatPumpModel_v31 | #91 A |
EEHIC Expected Subsidy for Retrofits (Dollar / House) EEHIC Expected Subsidy for Retrofits[Cohort,Heating and Cooling System,Retrofitting Status] = MIN( Proportional Subsidy Switch for Retrofits* Expected EEHIC Proportional Subsidy Rate for Retrofits* Unsubsidized Retrofit Cost Intensity[ Cohort, Heating and Cooling System]* Average Area[ Cohort, Retrofitting Status], Expected EEHIC Maximum Subsidy for Retrofits) Description: The proportional subsidy offered against the retrofit cost intensity, taking into account whether it has gone into effect, from the Energy Efficient Home Improvement Credit. Present In 1 View: Used By
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HeatPumpModel_v31 | #92 C |
EEHIC Maximum Subsidy for Retrofits (Dollar / House ) = 1200 Description: The maximum proportional subsidy that will be offered from Energy Efficient Home Improvement Credit, regardless of that subsidy's discount. Source: https://www.nrdc.org/stories/consumer-guide-inflation-reduction-act Present In 1 View: Used By
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HeatPumpModel_v31 | #93 C |
EEHIC Proportional Subsidy Rate for Retrofits (dmnl ) = 0.3 Description: Proportion of total retrofit cost that will be credited with the Energy Efficiency Home Improvement Credit.Source: https://www.nrdc.org/stories/consumer-guide-inflation-reduction-act Present In 1 View: Used By
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HeatPumpModel_v31 | #94 C |
EEHIC Subsidy for Retrofits Final Year (Year) = 2033 Description: The year in which the EEHIC is phased out. If final time, then has no ending data.Source: https://www.irs.gov/credits-deductions/energy-efficient-home-improvement-credit Present In 2 Views: Used By
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HeatPumpModel_v31 | #95 C |
Effect of Air Leakage from Window AC on Efficiency (dmnl) = 0.9*10/11 Description: A window air conditioner typically does not perfectly cover its intended cavity, leading to more air leakage and therefore reducing efficiency.Taken from: https://www.energy.gov/sites/prod/files/2014/08/f18/ba_innovations_1-2-5_window_ac.pdf Present In 1 View: Used By
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HeatPumpModel_v31 | #98 F,A |
Emissions (tCO2 / Year) = SUM( Emissions by Grouping[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: The total amount of emissions across all housing groups. Present In 2 Views: Used By
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HeatPumpModel_v31 | #96 A |
Emissions by Grouping (tCO2 / Year) Emissions by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = Housing[ Cohort, Heating and Cooling System, Retrofitting Status]* Average Emissions by Grouping[ Cohort, Heating and Cooling System, Retrofitting Status] Description: The total emissions for the most disaggregated grouping in the model. Present In 2 Views: Used By
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HeatPumpModel_v31 | #97 A |
Emissions by Heating and Cooling System (tCO2 / Year) Emissions by Heating and Cooling System[Heating and Cooling System] = SUM( Emissions by Grouping[ Cohort!, Heating and Cooling System, Retrofitting Status!]) Description: The total amount of emissions for houses by Heating and Cooling System. Present In 1 View: Used By
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.housingagingchain v8 | #100 C |
Energy Price Exponential Growth Rate (1/Year ) = 0 Description: The exogenous growth fraction for the test input. Present In 1 View: Used By
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HeatPumpModel_v31 | #99 C |
Energy Price Exponential Growth Rate 1 (1/Year ) = 0 Description: The exogenous growth fraction for the test input. Present In 1 View: Used By
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.housingagingchain v8 | #102 C |
Energy Price Pulse Quantity (Dimensionless*Year) = 0 Description: The quantity to be injected to customer orders, as a fraction of the base value of Input.For example, to pulse in a quantity equal to 50% of the current value of input, set to.50. Present In 1 View: Used By
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HeatPumpModel_v31 | #101 C |
Energy Price Pulse Quantity 1 (Dimensionless*Year) = 0 Description: Pulse value, as a fraction of the base value of Input.For example, to pulse in a quantity equal to 50% of the current value of input, set to.50. Present In 1 View: Used By
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.housingagingchain v8 | #104 C |
Energy Price Ramp Slope (1/Year ) = 0 Description: Slope of the ramp input, as a fraction of the base value (per week). Present In 1 View: Used By
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HeatPumpModel_v31 | #103 C |
Energy Price Ramp Slope 1 (1/Year ) = 0 Description: Slope of the ramp input, as a fraction of the base value (per week). Present In 1 View: Used By
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.housingagingchain v8 | #105 C |
Energy Price Step Height (Dimensionless ) = 0 Description: Height of step input to customer orders, as fraction of initial value. Present In 1 View: Used By
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HeatPumpModel_v31 | #106 A |
Energy Savings (dmnl) Energy Savings[Cohort,Heating and Cooling System] = MAX(0,ABS(ZIDZ(( Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System]- U Value by Grouping[ Cohort, Heating and Cooling System,Open to Retrofitting]), U Value by Grouping[ Cohort, Heating and Cooling System,Open to Retrofitting]))) Description: The amount of energy savings that not refitting houses would achieve if they were to retrofit. Because we assume area, HDD, and efficiency stay the same before and after retrofitting, this saving is solely from changing the U value. Present In 2 Views: Used By
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HeatPumpModel_v31 | #107 A |
Energy Use by Gas Houses (kBTU/ Year) = SUM( Energy Use by Grouping[ Cohort!,Gas and Central AC, Retrofitting Status!])+SUM( Energy Use by Grouping[ Cohort!,Gas and Window AC, Retrofitting Status!])+SUM( Energy Use by Grouping[ Cohort!,Gas and No AC, Retrofitting Status!]) Description: The total amount of energy for heating and cooling used by homes which primarily use gas to heat their homes. Present In 1 View: Used By |
HeatPumpModel_v31 | #108 A |
Energy Use by Grouping (kBTU / Year) Energy Use by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = Average Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status]* Housing[ Cohort, Heating and Cooling System, Retrofitting Status] Description: The total amount of energy used for heating and cooling in each group. Present In 2 Views: Used By
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HeatPumpModel_v31 | #109 A |
Energy Use by Heat Pump Houses (kBTU / Year) = SUM( Energy Use by Grouping[ Cohort!,Heat Pump Only, Retrofitting Status!])+SUM( Energy Use by Grouping[ Cohort!,Heat Pump and Gas, Retrofitting Status!])+SUM( Energy Use by Grouping[ Cohort!,Heat Pump and Oil, Retrofitting Status!]) Description: The amount of energy used for heating and cooling by homes which primarily use heat pumps to heat their home. Present In 1 View: Used By |
HeatPumpModel_v31 | #110 A |
Energy Use by Oil Houses (kBTU / Year) = SUM( Energy Use by Grouping[ Cohort!,Oil and Central AC, Retrofitting Status!])+SUM( Energy Use by Grouping[ Cohort!,Oil and Window AC, Retrofitting Status!])+SUM( Energy Use by Grouping[ Cohort!,Oil and No AC, Retrofitting Status!]) Description: The total amount of energy for heating and cooling used by homes primarily using oil to heat their home. Present In 1 View: Used By |
HeatPumpModel_v31 | #111 SM,A |
Expected Cooling Energy Price (Dollar / kBTU) = SMOOTH3( Cooling Energy Price, Delay in Forming Expectations of Energy Price) Description: Energy price for one kBTU of cooling used to calculate optimal U value. Third order exponential smoothing of cooling energy price. Present In 4 Views: Used By
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HeatPumpModel_v31 | #112 SM,A |
Expected EEHIC Maximum Subsidy for Retrofits (Dollar / House) = SMOOTH3( Implemented EEHIC Maximum Subsidy for Retrofits, Delay in Changing Subsidy Expectations) Description: Expected maximum proportional subsidy that lowers subsidized retrofit costs from the Energy Efficiency Home Improvement Credit, taking into account information delays. Present In 2 Views: Used By
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HeatPumpModel_v31 | #113 SM,A |
Expected EEHIC Proportional Subsidy Rate for Retrofits (dmnl) = SMOOTH3( Implemented EEHIC Subsidy Proportional Rate for Retrofits, Delay in Changing Subsidy Expectations)* Proportional Subsidy Switch for Retrofits Description: Expected proportional subsidy rate that lowers subsidized retrofit costs, taking into account information delays. Present In 2 Views: Used By
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.housingagingchain v15 | #114 SM,A |
Expected Fixed Cost (Dollar / House) = SMOOTH( Fixed Cost, Delay in Forming Expectations of Retrofit Costs) Description: Fixed cost used in calculating optimal EUI. Third order exponential smoothing of fixed cost. Present In 2 Views: Used By
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.housingagingchain v15 | #115 SM,A |
Expected Heating Energy Price (Dollar / kBTU) Expected Heating Energy Price[Heating and Cooling System] = SMOOTH3( Heating Energy Price[ Heating and Cooling System], Delay in Forming Expectations of Energy Price) Description: Energy price for one kBTU of heating used to calculate optimal U value. Third order exponential smoothing of heating energy price. Present In 6 Views:
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HeatPumpModel_v31 | #116 SM,A |
Expected IRA Proportional Subsidy Rate for Heat Pumps (dmnl) = SMOOTH3( IRA Implemented Subsidy Proportional Rate for Heat Pumps, Delay in Changing Subsidy Expectations)* Proportional IRA Subsidy Switch for Heat Pumps Description: Expected proportional subsidy rate that lowers subsidized retrofit costs, taking into account information delays. Present In 1 View: Used By
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.housingagingchain v15 | #117 A |
Expected Lump Sum Subsidy Intensity (Dollar / sf) Expected Lump Sum Subsidy Intensity[Retrofit Cost] = HOMES Expected Lower Lump Sum Subsidy/ Average Area of Housing Starts Description: Lump sum subsidy for retrofits per square foot. Present In 1 View: Used By
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.housingagingchain v15 | #118 SM,A |
Expected MassSave Maximum Subsidy for Retrofits (Dollar / House) = SMOOTH3( Implemented MassSave Maximum Subsidy for Retrofits, Delay in Changing Subsidy Expectations) Description: Expected maximum proportional subsidy that lowers subsidized retrofit costs, taking into account information delays. Present In 1 View: Used By
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.housingagingchain v15 | #119 SM,A |
Expected MassSave Proportional Subsidy Rate for Retrofits (dmnl) = SMOOTH3( Implemented MassSave Subsidy Proportional Rate for Retrofits, Delay in Changing Subsidy Expectations)* Proportional Subsidy Switch for Retrofits Description: Expected proportional subsidy rate that lowers subsidized retrofit costs, taking into account information delays. Present In 4 Views:
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HeatPumpModel_v31 | #120 SM,A |
Expected Maximum IRA Proportional Subsidy for Heat Pumps (Dollar / House) = SMOOTH3( Implemented IRA Maximum Proportional Subsidy for Heat Pumps, Delay in Changing Subsidy Expectations) Description: Expected maximum proportional subsidy that lowers subsidized retrofit costs, taking into account information delays. Present In 1 View: Used By
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.housingagingchain v15 | #121 SM,A |
Expected Reference Marginal Cost ((Dollar / sf) / (kBTU / (sf * Year * F))) = SMOOTH( Reference Marginal Cost, Delay in Forming Expectations of Retrofit Costs) Description: Reference marginal cost used in calculating optimal U value. Third order exponential smoothing of reference marginal cost. Present In 4 Views:
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HeatPumpModel_v31 | #122 A |
Expected Subsidy for Heat Pumps (Dollar / House) = MassSave Expected Lump Sum Subsidy for Heat Pumps+ IRA Expected Proportional Subsidy for Heat Pumps Description: Total subsidy offered against retrofit cost across both lump sum and proportional subsidies. Present In 2 Views: Used By
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.housingagingchain v15 | #123 A |
Expected Subsidy for Retrofits (Dollar / House) Expected Subsidy for Retrofits[Cohort,Heating and Cooling System,Retrofitting Status] = IF THEN ELSE( Energy Savings[ Cohort, Heating and Cooling System]>= HOMES Cut Off for Savings, HOMES Expected Higher Subsidy, HOMES Expected Lower Lump Sum Subsidy)+ MassSave Expected Subsidy for Retrofits[ Cohort, Heating and Cooling System, Retrofitting Status]+ EEHIC Expected Subsidy for Retrofits[ Cohort, Heating and Cooling System, Retrofitting Status] Description: Total subsidy offered against retrofit cost across both lump sum and proportional subsidy. Present In 4 Views:
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HeatPumpModel_v31 | #124 A |
Federal Annual Heat Pump Subsidy (Dollar / Year) = Total Heat Pump Sales* IRA Actual Subsidy for Heat Pumps Description: The amount of subsidies the federal government spends on heat pumps through the Inflation Reduction Act every year. Present In 1 View: Used By
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HeatPumpModel_v31 | #125 A |
Federal Annual Retrofit Subsidy (Dollar / Year) = SUM(( Actual EEHIC Subsidy for Retrofits[ Cohort!, Heating and Cooling System!]+ Actual HOMES Subsidy for Retrofits[ Cohort!, Heating and Cooling System!])* Houses Retrofitting per Year[ Cohort!, Heating and Cooling System!]) Description: The amount of federal subsidies spent by the federal government, through the IRA. Present In 1 View: Used By
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.housingagingchain v5 testing | #128 C |
Fixed Cost (Dollar / House ) = 0 Description: Fixed cost of retrofitting, due to permitting, finding contractors, etc. This is not taken into account in the marginal cost of retrofitting, and this model assumes that households have not yet paid a fixed cost when deciding to retrofit. This cost only applies to existing housing.Set this equal to 0, because almost all costs for retrofits seem to be variable (except for permitting, which isn't usually used), and there's no data to suggest otherwise. Present In 2 Views: Used By
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.housingagingchain v5 testing | #127 A |
Fixed Cost per Unit Area (Dollar / sf) Fixed Cost per Unit Area[Cohort] = ZIDZ( Expected Fixed Cost, Average Area[ Cohort,Open to Retrofitting]) Description: The fixed cost (which is constant) per square foot for an average house that is open to retrofitting. Present In 2 Views: Used By
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HeatPumpModel_v31 | #129 A |
Fraction of Houses in Each Heating and Cooling System (dmnl) Fraction of Houses in Each Heating and Cooling System[Heating and Cooling System] = XIDZ( Housing by Heating and Cooling System[ Heating and Cooling System], Total Housing Stock, NAREPLACEMENT) Description: The fraction of houses using each heating and cooling system Present In 1 View: Used By |
.housingagingchain v5 testing | #130 A |
Fraction of Houses Switching (dmnl) Fraction of Houses Switching[Cohort,Heat Pump Heating and Cooling,Retrofitting Status,Heating and Cooling System] = Affinity of Heating and Cooling Systems[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]/SUM( Affinity of Heating and Cooling Systems[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System!]) Fraction of Houses Switching[Cohort,Gas Heating,Retrofitting Status,Heating and Cooling System] = Affinity of Heating and Cooling Systems[ Cohort, Gas Heating, Retrofitting Status, Heating and Cooling System]/SUM( Affinity of Heating and Cooling Systems[ Cohort, Gas Heating, Retrofitting Status, Heating and Cooling System!]) Fraction of Houses Switching[Cohort,Oil Heating,Retrofitting Status,Heating and Cooling System] = Affinity of Heating and Cooling Systems[ Cohort, Oil Heating, Retrofitting Status, Heating and Cooling System]/SUM( Affinity of Heating and Cooling Systems[ Cohort, Oil Heating, Retrofitting Status, Heating and Cooling System!]) Description: Fraction of houses considering switching switching from one to another. We also model "switching" from one system to the same system, as we keep track of total heat pump sales. Present In 2 Views: Used By
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HeatPumpModel_v31 | #131 A |
Fraction of Housing by Heating and Cooling System (dmnl) Fraction of Housing by Heating and Cooling System[Heating and Cooling System] = Housing by Heating and Cooling System[ Heating and Cooling System]/ Total Housing Stock Description: The fraction of the total housing stock using each heating and cooling system. Present In 1 View: Used By |
HeatPumpModel_v31 | #134 A |
Fraction Retrofitting (dmnl) = Housing by Retrofitting Status[Open to Retrofitting]/( Housing by Retrofitting Status[Not Open to Retrofitting]+ Housing by Retrofitting Status[Open to Retrofitting]) Description: Proportion of housing that is open to retrofitting, across all cohorts and systems. Present In 1 View: Used By |
HeatPumpModel_v31 | #132 LI,A |
Fraction Retrofitting by Cohort (dmnl) Fraction Retrofitting by Cohort[Cohort] = ZIDZ(SUM( Housing[ Cohort, Heating and Cooling System!,Open to Retrofitting]),SUM( Housing[ Cohort, Heating and Cooling System!, Retrofitting Status!])) Description: Fraction that are retrofitting, only by cohort. Present In 2 Views: Used By
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HeatPumpModel_v31 | #133 A |
Fraction Retrofitting by System and Cohort (dmnl) Fraction Retrofitting by System and Cohort[Cohort,Heating and Cooling System] = ZIDZ( Housing[ Cohort, Heating and Cooling System,Open to Retrofitting],SUM( Housing[ Cohort, Heating and Cooling System, Retrofitting Status!])) Description: The fraction of houses that are retrofitting, by heating/cooling system and cohort. Present In 1 View: Used By |
HeatPumpModel_v31 | #135 C |
Fractional Decrease in Code U (1 / Year ) = 0 Description: Fractional decrease in code per year. Exogenous and set by policymakers in the real world. For initial paper, assume that code U is constant. Present In 1 View: Used By
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HeatPumpModel_v31 | #136 A,T |
Gas COP TABLE (dmnl) Gas COP TABLE([(2020,0)-(2050,1)],(2020,0.9),(2030,0.925),(2040,0.95),(2050,0.95)) ![]() Description: Efficiency of gas systems over time. Taken as the average of projected efficiency for reference gas boilers and gas furnaces, from MassDEP's Energy Pathways for Deep Decarbonization Report (pg. 97): https://www.mass.gov/doc/energy-pathways-for-deep-decarbonization-report/download Present In 1 View: Used By
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HeatPumpModel_v31 | #137 C |
HDD on Coldest Day (F ) = 55.2333 Description: The total HDD from coldest day.Data from https://www.degreedays.net/ for KOWD, weather station nearest to centre of population for MA, Natick. Calculated by finding HDDs from the past three years (February 2021 - January 2024), finding the highest HDD in each year, and averaging them. Following industry standard, used set point of 65°F. Present In 1 View: Used By
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HeatPumpModel_v31 | #138 A,T |
Heat Pump Cooling COP TABLE (dmnl) Heat Pump Cooling COP TABLE([(2020,0)-(2050,10)],(2020,4.3),(2030,4.8),(2040,5.17),(2050,5.28)) ![]() Description: The COP of heat pumps when used for cooling. Calculated by assuming the ratio of heating and cooling COP is constant over time -- as heating COP improves the ability to cool improves proportionally-- finding cooling COP in 2020, finding the COP for cooling of heating in 2018, and then using the ratio between the two in 2020 to project future values. Data on this was difficult to find.Projected heating COP from pg. 97 of MassDEP's Energy Pathways for Deep Decarbonization: https://www.mass.gov/doc/energy-pathways-for-deep-decarbonization-report/downloadCooling COP in 2020 here: https://www.raleighheatingandair.com/blog/is-a-heat-pump-more-effective-at-cooling-or-heating/ Present In 1 View: Used By
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HeatPumpModel_v31 | #139 C |
Heat Pump COP on Coldest Days (dmnl ) = 2.16438 Description: The heat pump COP on coolest day of the year.Taken from NYSERDA/MassCEC study on heat pump performance on 41 heat pumps: https://e4thefuture.org/wp-content/uploads/2022/06/Residential-ccASHP-Building-Electrification_060322.pdf (pg. 24). Regressed COP on temperature and its square. Using daily data on HDD (set point 65°F) for 2021-2023 from degreedays.net, calculated temperature of coldest day on average. Plugged that into regression model to find COP on coldest day. Present In 1 View: Used By
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HeatPumpModel_v31 | #140 A,T |
Heat Pump Heating COP TABLE (dmnl) Heat Pump Heating COP TABLE([(2020,0)-(2050,10)],(2020,2.485),(2030,2.785),(2040,2.99),(2050,3.05)) ![]() Description: The efficiency of heat pumps for heating, over time. Taken as the average of projected COP for reference ASHP and ductless mini-splits from MassDEP's Energy Pathways Report (pg. 97): https://www.mass.gov/doc/energy-pathways-for-deep-decarbonization-report/download Present In 1 View: Used By
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HeatPumpModel_v31 | #141 C |
Heating Degree Days (F ) = 5026 Description: The difference between temperature setpoint (65 F) and outside temperature.Data from degreedays.net, using the weather station for Norwood Memorial Airport, the closest weather station to the center of MA's population, Natick. In line with industry standard, use set point of 65°F, as thattemperature little heating or cooling is needed. Present In 3 Views: Used By
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HeatPumpModel_v31 | #142 C |
Heating Emissions Factors (lb CO2 / kBTU) Heating Emissions Factors[Heat Pump Heating and Cooling] = 684/3414.43 Heating Emissions Factors[Gas Heating] = 116.65/1000 Heating Emissions Factors[Oil Heating] = 163.45/1000 Description: The pounds of CO2 emitted per kBTU of heating energy provided, for each heating fuel.Data for heat pumps (electricity) is: https://www.mass.gov/doc/2020-summary-massachusetts-ghg-emissions-reports-for-retail-sellers-of-electricity/downloadRest is from: https://www.eia.gov/environment/emissions/co2_vol_mass.phpIn line with that source, I assume that each heat pump will add to the grid and is not part of base demand, and so the marginal emissions from producing electricity from heat pumps will be constant at the value as it will come from natural gas generators (explanation of which is from here: https://willbrownsberger.com/how-green-will-the-power-be/ Present In 1 View: Used By
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.housingagingchain v5 testing | #143 A |
Heating Energy Price (Dollar / (kBTU)) Heating Energy Price[Heating and Cooling System] = Initial Heating Energy Price[ Heating and Cooling System]* Input 0 Description: The price to heat a home (which in this model we assume can only have one size) 1 kBTU, multiplied by the test input. Present In 6 Views:
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HeatPumpModel_v31 | #144 A |
Heating Energy Use Under Alternatives (kBTU / (House * Year)) Heating Energy Use Under Alternatives[Cohort,Heat Pump Heating and Cooling,Not Open to Retrofitting,Heating and Cooling System] = U Value by Grouping[ Cohort, Heat Pump Heating and Cooling,Not Open to Retrofitting]* Average Area[ Cohort,Not Open to Retrofitting]* Heating Degree Days/ Heating System Efficiency[ Heating and Cooling System] Heating Energy Use Under Alternatives[Cohort,Fossil Fuel Heating,Not Open to Retrofitting,Heating and Cooling System] = U Value by Grouping[ Cohort, Fossil Fuel Heating,Not Open to Retrofitting]* Average Area[ Cohort,Not Open to Retrofitting]* Heating Degree Days/ Heating System Efficiency[ Heating and Cooling System] Heating Energy Use Under Alternatives[Cohort,Heat Pump Heating and Cooling,Open to Retrofitting,Heating and Cooling System] = MIN( U Value by Grouping[ Cohort, Heat Pump Heating and Cooling,Open to Retrofitting], Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System])* Average Area[ Cohort,Open to Retrofitting]* Heating Degree Days/ Heating System Efficiency[ Heating and Cooling System] Heating Energy Use Under Alternatives[Cohort,Fossil Fuel Heating,Open to Retrofitting,Heating and Cooling System] = MIN( U Value by Grouping[ Cohort, Fossil Fuel Heating,Open to Retrofitting], Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System])* Average Area[ Cohort,Open to Retrofitting]* Heating Degree Days/ Heating System Efficiency[ Heating and Cooling System] Description: The heating energy use of each group, if they were to switch into another Heating and Cooling System. That is, when they switch, their area and U stays the same, but the energy system's efficiency may change, meaning that each grouping (the first "Heating and Cooling System" subscript) must consider their heating energy use under alternative systems (the second "Heating and Cooling System" subscript). Houses about to retrofit use the U value that they will retrofit too; using their current U-value that they'll retrofit away from is too short cited. Present In 1 View: Used By
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HeatPumpModel_v31 | #145 A |
Heating System Efficiency (dmnl) Heating System Efficiency[Heat Pump Heating and Cooling] = Heat Pump Heating COP TABLE( Time) Heating System Efficiency[Gas Heating] = Gas COP TABLE( Time) Heating System Efficiency[Oil Heating] = Oil COP TABLE( Time) Description: The COP (for heat pumps) or annual fuel utilization efficiency of heating systems. Varies over time. Present In 3 Views: Used By
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HeatPumpModel_v31 | #146 C |
Homeowner Hours Spent Retrofitting (Hour ) = 750 Description: The amount of hours a homeowners spends retrofitting their home themselves, i.e., the hours spent deciding to retrofit, supervising audits, moving out of the home as necessary, etc. No hard data on this, calibrated so that the initial fraction of homes willing to retrofit is 10%. Present In 1 View: Used By
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HeatPumpModel_v31 | #147 C |
HOMES Cut Off for Savings (dmnl ) = 0.35 Description: The percent energy savings needed to get the higher subsidy amount from the Home Owner Managing Energy Savings rebate. Taken from: https://www.nrdc.org/bio/lauren-urbanek/theres-no-better-time-consider-home-energy-upgrades#: :text=The%20HOMES%20Rebate%20Program%20provides,or%20from%20measured%20energy%20savings. Present In 2 Views: Used By
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HeatPumpModel_v31 | #148 SM,A |
HOMES Expected Higher Subsidy (Dollar / House) = SMOOTH3( HOMES Implemented High Subsidy, Delay in Changing Subsidy Expectations) Description: Expected lump sum subsidy that lowers subsidized retrofit costs, taking into account information delays. This is for homes that save more than 35% of energy Present In 1 View: Used By
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.housingagingchain v15 | #149 SM,A |
HOMES Expected Lower Lump Sum Subsidy (Dollar / House) = SMOOTH3( HOMES Implemented Lower Subsidy, Delay in Changing Subsidy Expectations) Description: Expected lump sum subsidy that lowers subsidized retrofit costs, taking into account information delays. Present In 3 Views: Used By
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HeatPumpModel_v31 | #150 C |
HOMES High Subsidy Amount (Dollar / House ) = 4000 Description: The subsidy from the home owner managing energy savings rebate for retrofits saving more than 35% of energy.Source: https://www.nrdc.org/bio/lauren-urbanek/theres-no-better-time-consider-home-energy-upgrades#: :text=The%20HOMES%20Rebate%20Program%20provides,or%20from%20measured%20energy%20savings. Present In 1 View: Used By
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HeatPumpModel_v31 | #151 A |
HOMES Implemented High Subsidy (Dollar / House) = IF THEN ELSE( Time>= HOMES Subsidy Implementation Year:AND: Time<= HOMES Subsidy Final Year, HOMES High Subsidy Amount,0) Description: Implemented higher subsidy from the HOMES rebate program. Present In 2 Views: Used By
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.housingagingchain v15 | #152 A |
HOMES Implemented Lower Subsidy (Dollar / House) = IF THEN ELSE( Time>= HOMES Subsidy Implementation Year:AND: Time<= HOMES Subsidy Final Year, HOMES Lower Subsidy Amount,0) Description: Lump sum subsidy that is actually implemented. Equal to zero before implementation year and to lump sum subsidy after implementation year. Present In 2 Views: Used By
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.housingagingchain v15 | #153 C |
HOMES Lower Subsidy Amount (Dollar / House ) = 2000 Description: The lump sum subsidy given for retrofits that save less than 35% of their energy from the Home Owner Managing Energy Savings tax credit.Source: https://www.nrdc.org/bio/lauren-urbanek/theres-no-better-time-consider-home-energy-upgrades#: :text=The%20HOMES%20Rebate%20Program%20provides,or%20from%20measured%20energy%20savings. Present In 1 View: Used By
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HeatPumpModel_v31 | #154 C |
HOMES Subsidy Final Year (Year) = 2032 Description: Final year of Home Owner Managing Energy Savings rebate, assumed to be the same as that of the EEHIC. Present In 1 View: Used By
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.housingagingchain v15 | #155 C |
HOMES Subsidy Implementation Year (Year ) = 2025 Description: The year in which the lump sum subsidy will activate. Present In 1 View: Used By
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HeatPumpModel_v31 | #156 A |
Houses Considering Switching System (Houses / Year) Houses Considering Switching System[Cohort,Heating and Cooling System,Retrofitting Status] = Housing[ Cohort, Heating and Cooling System, Retrofitting Status]/ Average Time To Consider Switching Description: The number of houses per year considering switching their heating and cooling system. Present In 1 View: Used By
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HeatPumpModel_v31 | #158 A |
Houses Retrofitting (Houses) Houses Retrofitting[Cohort,Heating and Cooling System] = Housing[ Cohort, Heating and Cooling System,Open to Retrofitting] Description: Total amount of houses retrofitting in each cohort and heating and cooling system. Present In 1 View: Used By |
HeatPumpModel_v31 | #157 A |
Houses Retrofitting per Year (House / Year) Houses Retrofitting per Year[Cohort,Heating and Cooling System] = IF THEN ELSE( Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System]< U Value by Grouping[ Cohort, Heating and Cooling System,Open to Retrofitting], Housing[ Cohort, Heating and Cooling System,Open to Retrofitting]/ Retrofit Delay,0) Description: The number of homes retrofitting per year. This is an approximation because the number of homes actively retrofitting is equal to the number of homes open to retrofitting only if their average U value is less than optimal U. Assumes that if, say, the retrofitting delay is 5 years, then on average 20% of homes are retrofitting every year. Present In 1 View: Used By
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HeatPumpModel_v31 | #159 A |
Houses Switching Into Sources (Houses / Year) Houses Switching Into Sources[Heating and Cooling System] = SUM( Houses Switching Sources[ Cohort!, Heating and Cooling System!, Retrofitting Status!, Heating and Cooling System]) Description: The number of houses switching into each Heating and Cooling System, cohort, and retrofitting group due to system switching. Present In 1 View: Used By
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HeatPumpModel_v31 | #160 F,A |
Houses Switching Sources (House / Year) Houses Switching Sources[Cohort,Heat Pump Heating and Cooling,Retrofitting Status,Heating and Cooling System] = Fraction of Houses Switching[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]* Houses Considering Switching System[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status]* System Switching SWITCH Houses Switching Sources[Cohort,Fossil Fuel Heating,Retrofitting Status,Heating and Cooling System] = Fraction of Houses Switching[ Cohort, Fossil Fuel Heating, Retrofitting Status, Heating and Cooling System]* Houses Considering Switching System[ Cohort, Fossil Fuel Heating, Retrofitting Status]* System Switching SWITCH Description: The number of houses switching Heating and Cooling Systems. The first heating and cooling system subscript is the system combination they're leaving, and the h & c system subscript is the combination they're entering. Present In 3 Views: Used By
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HeatPumpModel_v31 | #174 L |
Housing (House) Housing[Cohort,Heating and Cooling System,Not Open to Retrofitting] = ∫((( Housing Starts[ Cohort, Heating and Cooling System]- Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System])- Demolitions[ Cohort, Heating and Cooling System,Not Open to Retrofitting])+(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System!,Not Open to Retrofitting, Heating and Cooling System])))-(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System,Not Open to Retrofitting, Heating and Cooling System!])) dt + Initial Homes Not Retrofitting[ Cohort, Heating and Cooling System] Housing[Cohort,Heating and Cooling System,Open to Retrofitting] = ∫(( Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System]- Demolitions[ Cohort, Heating and Cooling System,Open to Retrofitting])+(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System!,Open to Retrofitting, Heating and Cooling System])))-(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System,Open to Retrofitting, Heating and Cooling System!])) dt + Initial Homes Retrofitting[ Cohort, Heating and Cooling System] Description: Houses, divided into those open to retrofitting (i.e., they will retrofit if their U is not equal to optimal) and those who are not. Present In 7 Views:
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HeatPumpModel_v31 | #163 A |
Housing by Cohort (House) Housing by Cohort[Cohort] = SUM( Housing[ Cohort, Heating and Cooling System!, Retrofitting Status!]) Description: Number of houses per cohort Present In 1 View: Used By |
HeatPumpModel_v31 | #161 A |
Housing by Cohort and Heating and Cooling System (Houses) Housing by Cohort and Heating and Cooling System[Cohort,Heating and Cooling System] = SUM( Housing[ Cohort, Heating and Cooling System, Retrofitting Status!]) Description: Housing by heating and cooling system and cohort, irrespective of retrofit status. Present In 2 Views: Used By
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HeatPumpModel_v31 | #162 A |
Housing by Cohort and Retrofitting Status (House) Housing by Cohort and Retrofitting Status[Cohort,Retrofitting Status] = SUM( Housing[ Cohort, Heating and Cooling System!, Retrofitting Status]) Description: Amount of housing by retrofit status and cohort. Present In 3 Views: Used By
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HeatPumpModel_v31 | #164 A |
Housing by Heating and Cooling System (House) Housing by Heating and Cooling System[Heating and Cooling System] = SUM( Housing[ Cohort!, Heating and Cooling System, Retrofitting Status!]) Description: Number of houses by energy source across all cohorts. Present In 1 View: Used By
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HeatPumpModel_v31 | #165 A |
Housing by Retrofitting Status (House) Housing by Retrofitting Status[Retrofitting Status] = SUM( Housing by Cohort and Retrofitting Status[ Cohort!, Retrofitting Status]) Description: Amount of housing by retrofitting status, across all cohorts and systems. Present In 1 View: Used By
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HeatPumpModel_v31 | #166 C |
Housing Fractional Growth Rate (1 / Year ) = 0.02 Description: The annual growth rate in housing. Heuristically chosen so that total housing stock grows at net 1%/year. Present In 1 View: Used By
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HeatPumpModel_v31 | #173 F,A |
Housing Starts (Houses / Year) Housing Starts[Cohort,Heating and Cooling System] = Housing Fractional Growth Rate*SUM( Housing[ Cohort!, Heating and Cooling System, Retrofitting Status!])* Active Cohort Indicator[ Cohort]*(1- No Turnover Switch) Description: Homes being built. Assumed to be equal to the total number of homes times a constant fractional growth rate and only homes that are not open to retrofits will be built. Present In 3 Views: Used By
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HeatPumpModel_v31 | #167 A |
Housing Starts Across Cohorts () = SUM( Housing Starts In Each Cohort[ Cohort!]) Description: Housing starts across all cohorts. Present In 1 View: Used By |
.housingagingchain v8 | #168 C |
Housing Starts Exponential Growth Rate (1/Year ) = 0 Description: The exogenous growth fraction for the test input. Present In 1 View: Used By
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HeatPumpModel_v31 | #169 A |
Housing Starts In Each Cohort (House / Year) Housing Starts In Each Cohort[Cohort] = SUM( Housing Starts[ Cohort, Heating and Cooling System!]) Description: Housing starts across heating and cooling systems. Present In 1 View: Used By
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.housingagingchain v8 | #170 C |
Housing Starts Pulse Quantity (Dimensionless*Year) = 0 Description: The quantity to be injected to customer orders, as a fraction of the base value of Input.For example, to pulse in a quantity equal to 50% of the current value of input, set to.50. Present In 1 View: Used By
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.housingagingchain v8 | #171 C |
Housing Starts Ramp Slope (1/Year ) = 0 Description: Slope of the ramp input, as a fraction of the base value (per week). Present In 1 View: Used By
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.housingagingchain v8 | #172 C |
Housing Starts Step Height (Dimensionless ) = 0 Description: Height of step input to customer orders, as fraction of initial value. Present In 1 View: Used By
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HeatPumpModel_v31 | #175 A |
Implemented EEHIC Maximum Subsidy for Retrofits (Dollar / House) = IF THEN ELSE( Time>= Proportional EEHIC Subsidy Implementation Year for Retrofits:AND: Time<= EEHIC Subsidy for Retrofits Final Year, EEHIC Maximum Subsidy for Retrofits,0) Description: Maximum proportional subsidy from EEHIC that is actually implemented. Equal to zero before implementation year and to maximum proportional subsidy after implementation year. Present In 2 Views: Used By
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HeatPumpModel_v31 | #176 A |
Implemented EEHIC Subsidy Proportional Rate for Retrofits (dmnl) = IF THEN ELSE( Time>= Proportional EEHIC Subsidy Implementation Year for Retrofits:AND: EEHIC Subsidy for Retrofits Final Year>= Time, EEHIC Proportional Subsidy Rate for Retrofits,0) Description: The implemented proportional subsidy rate for retrofits from the IRA, taking into account whether a proportional subsidy has been implemented. Equal to zero before implementation year and proportional subsidy discount afterwards. Present In 2 Views: Used By
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HeatPumpModel_v31 | #177 A |
Implemented IRA Maximum Proportional Subsidy for Heat Pumps (Dollar / House) = IF THEN ELSE( Time>= IRA Proportional Subsidy Implementation Year for Heat Pumps:AND: Time<= IRA Lump Sum Subsidy for Heat Pumps Final Year, IRA Maximum Proportional Subsidy for Heat Pumps,0) Description: Maximum proportional subsidy for heat pumps that is actually implemented. Equal to zero before implementation year and to maximum proportional subsidy after implementation year. Present In 2 Views: Used By
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.housingagingchain v15 | #178 A |
Implemented MassSave Maximum Subsidy for Retrofits (Dollar / House) = IF THEN ELSE( Time>= Proportional MassSave Subsidy Implementation Year for Retrofits:AND: Time<= MassSave Subsidy for Retrofits Final Year, MassSave Maximum Subsidy for Retrofits,0) Description: Maximum proportional subsidy that is actually implemented. Equal to zero before implementation year and to maximum proportional subsidy after implementation year. Present In 2 Views: Used By
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.housingagingchain v15 | #179 A |
Implemented MassSave Subsidy Proportional Rate for Retrofits (dmnl) = IF THEN ELSE( Time>= Proportional MassSave Subsidy Implementation Year for Retrofits:AND: MassSave Subsidy for Retrofits Final Year>= Time, Mass Save Proportional Subsidy Rate for Retrofits,0) Description: The implemented proportional subsidy rate from the state, taking into account whether a proportional subsidy has been implemented. Equal to zero before implementation year and proportional subsidy discount afterwards. Present In 2 Views: Used By
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HeatPumpModel_v31 | #180 C |
Increase in Area per Year (sf / Year / House ) = 10.76 Description: The exogenous increase in area per year, found by regressing area on year house was built in RECS 2020 data for MA SFG. Present In 1 View: Used By
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.housingagingchain v18 | #181 F,A |
Increase in U Value from Housing Starts (House * kBTU / (Year * F * sf) / Year) Increase in U Value from Housing Starts[Cohort,Heating and Cooling System] = Housing Starts[ Cohort, Heating and Cooling System]* U Value of Housing Starts[ Cohort, Heating and Cooling System] Description: New U value from new homes being built. Present In 1 View: Used By
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HeatPumpModel_v31 | #182 A |
Indicated Fraction of Homes Retrofitting (dmnl) Indicated Fraction of Homes Retrofitting[Cohort,Heating and Cooling System] = Affinity of Retrofitting[ Cohort, Heating and Cooling System]/( Affinity of Retrofitting[ Cohort, Heating and Cooling System]+ Affinity of Not Retrofitting[ Cohort, Heating and Cooling System]) Description: Proportion of households which are open to retrofitting to the optimum U. This is not necessarily all households, because the optimal U does not take into account fixed costs in retrofit costs, and so for a portion (or all) of them, retrofit costs > energy savings, and so not all (or any) households will retrofit. This also does not indicate households which are actively retrofitting, because if average U is already equal to optimum U then houses which are open to retrofitting have already retrofitted. Present In 2 Views: Used By
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HeatPumpModel_v31 | #183 A |
Indicated Homes Retrofitting (House) Indicated Homes Retrofitting[Cohort,Heating and Cooling System] = Indicated Fraction of Homes Retrofitting[ Cohort, Heating and Cooling System]* Housing by Cohort and Heating and Cooling System[ Cohort, Heating and Cooling System] Description: Number of homes that, once delays are taken into account, will be open to retrofitting. Present In 2 Views: Used By
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.housingagingchain v8 | #184 LI,A |
Initial Age (House * Year) Initial Age[Cohort,Retrofitting Status] = INITIAL(0) Initial Age[Preexisting Cohorts,Retrofitting Status] = ( Cohort Duration*(ELMCOUNT( Preexisting Cohorts)- Preexisting Cohorts+1))* Housing by Cohort and Retrofitting Status[ Preexisting Cohorts, Retrofitting Status] Description: The initial age of each cohort. For cohorts built during the model's run, this is zero. For each pre-existing cohort, this is the length of each cohort multiplied by how many cohorts separate the pre-existing cohort from the beginning of the model. For example, if there are two pre-existing cohorts each with length 5, the first cohort at the beginning of the run is already ten years old on average. Present In 1 View: Used By
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HeatPumpModel_v31 | #185 LI,C |
Initial Area (sf) Initial Area[Cohort] = 10 Description: Total initial area across all houses, by cohort (assuming that average area is the same across systems). Present In 1 View: Used By
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HeatPumpModel_v31 | #186 C |
Initial Average Area of Housing Starts (sf / House ) = 2347 Description: Initial average area of housing starts. Taken from average area of MA SFH homes built from 2015 to 2020, from EIA RECS data. Present In 1 View: Used By
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HeatPumpModel_v31 | #187 C |
Initial Average U Value (kBTU/(Year*sf*F)) Initial Average U Value[Cohort] = 0.19235 Description: The initial average U, equal to the average U value of MA SFH in 2022, from EIA RECS. Present In 1 View: Used By
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HeatPumpModel_v31 | #188 LI,C |
Initial Code U Value (kBTU / (sf * F * Year)) = 0.003 Description: The initial value of code U. For initial paper, assume that this is between initial optimal U (nearly 0) and average U (0.006). Present In 1 View: Used By
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HeatPumpModel_v31 | #189 C |
Initial Cooling Energy Price (Dollar / kBTU) = 0.062 Description: The price to cool a home per BTU. This is the price of electricity as all cooling systems, as air conditioning systems, use electricity. Present In 1 View: Used By
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HeatPumpModel_v31 | #190 C |
Initial Fraction of Homes Retrofitting (dmnl ) = 0.1 Description: Initial fraction of homes open to retrofitting. Heuristically chosen to be 0.1 to match low level of retrofitting that current occurs. Present In 1 View: Used By
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.housingagingchain v5 testing | #191 C |
Initial Heating Energy Price (Dollar / (kBTU)) Initial Heating Energy Price[Heat Pump Heating and Cooling] = 0.062 Initial Heating Energy Price[Gas Heating] = 0.0142 Initial Heating Energy Price[Oil Heating] = 0.017 Description: Price of energy used in each technology: heat pump, central AC, window AC, no AC, gas, and oil. For heat pumps and air conditioners, this is electricity.Data from (using annual 2020 data for MA):electricity: https://www.eia.gov/electricity/data/browser/#/topic/7?agg=1,0&geo=vvvvvvvvvvvvo&endsec=8&freq=M&start=200101&ctype=linechart<ype=pin&rtype=s&pin=&rse=0&maptype=0,natural gas:https://www.eia.gov/dnav/ng/ng_pri_sum_a_EPG0_PRS_DMcf_a.htmheating oil: https://www.eia.gov/petroleum/heatingoilpropane/ Present In 1 View: Used By
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.housingagingchain v5 testing | #192 LI,A |
Initial Homes Not Retrofitting (House) Initial Homes Not Retrofitting[Cohort,Heating and Cooling System] = 0 Initial Homes Not Retrofitting[Preexisting Cohorts,Heating and Cooling System] = (1- Initial Fraction of Homes Retrofitting)* Initial Housing[ Preexisting Cohorts, Heating and Cooling System] Description: Initial homes not open to retrofitting. Present In 1 View: Used By
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.housingagingchain v5 testing | #193 LI,A |
Initial Homes Retrofitting (Houses) Initial Homes Retrofitting[Cohort,Heating and Cooling System] = 0 Initial Homes Retrofitting[Preexisting Cohorts,Heating and Cooling System] = Initial Fraction of Homes Retrofitting* Initial Housing[ Preexisting Cohorts, Heating and Cooling System] Description: Homes that are open to retrofitting initially. Present In 1 View: Used By
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HeatPumpModel_v31 | #195 C |
Initial Housing (House) Initial Housing[Cohort,Heating and Cooling System] = 2.2e+06 Description: The total number of houses that begin in each cohort and heating and cooling source. Taken from CIN file. Present In 1 View: Used By
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. | #194 A |
Initial Housing Starts (House/Year) Initial Housing Starts[Heating and Cooling System] = Total Initial Housing Starts/ELMCOUNT( Heating and Cooling System) Description: Initial value of housing starts, initialized at 10 total houses. Present In 1 View: Used By |
.housingagingchain v15 | #197 LI,A |
Initial U Value (House * kBTU / (Year * F * sf)) Initial U Value[Cohort,Heating and Cooling System,Retrofitting Status] = 0 Initial U Value[Preexisting Cohorts,Heating and Cooling System,Retrofitting Status] = Initial Average U Value[ Preexisting Cohorts]* Housing[ Preexisting Cohorts, Heating and Cooling System, Retrofitting Status] Description: Initial U value of cohorts; must be zero for cohorts not yet built. Present In 1 View: Used By
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.housingagingchain v8 | #200 A |
Input (Dimensionless) = 1+STEP( Housing Starts Step Height, INITIAL TIME+ Step Time)+( Housing Starts Pulse Quantity/ TIME STEP)*PULSE( INITIAL TIME+ Pulse Time, TIME STEP)+RAMP( Housing Starts Ramp Slope, INITIAL TIME+ Ramp Start Time, INITIAL TIME+ Ramp End Time)+(STEP(1, INITIAL TIME)*(exp( Housing Starts Exponential Growth Rate*( Time- INITIAL TIME))-1))+ Sine Amplitude*SIN(2*3.14159*( Time- INITIAL TIME)/ Sine Period)+STEP(1, INITIAL TIME+ Noise Start Time)* Autocorrelated Noise Description: Input is a dimensionless variable which provides a variety of test input patterns, including a step,pulse, sine wave, and random noise. Present In 1 View: Used By |
.housingagingchain v8 | #198 A |
Input 0 (Dimensionless) = 1+STEP( Energy Price Step Height, INITIAL TIME+ Step Time 0)+( Energy Price Pulse Quantity/ TIME STEP)*PULSE( INITIAL TIME+ Pulse Time 0, TIME STEP)+RAMP( Energy Price Ramp Slope, INITIAL TIME+ Ramp Start Time 0, INITIAL TIME+ Ramp End Time 0)+(STEP(1, INITIAL TIME)*(exp( Energy Price Exponential Growth Rate*( Time- INITIAL TIME))-1))+ Sine Amplitude 0*SIN(2*3.14159*( Time- INITIAL TIME)/ Sine Period 0)+STEP(1, INITIAL TIME+ Noise Start Time 0)* Autocorrelated Noise 0 Description: Input is a dimensionless variable which provides a variety of test input patterns, including a step,pulse, sine wave, and random noise. Present In 1 View: Used By
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HeatPumpModel_v31 | #199 A |
Input 1 (Dimensionless) = 1+STEP( Cooling Energy Price Step Height 1, INITIAL TIME+ Step Time 1)+( Energy Price Pulse Quantity 1/ TIME STEP)*PULSE( INITIAL TIME+ Pulse Time 1, TIME STEP)+RAMP( Energy Price Ramp Slope 1, INITIAL TIME+ Ramp Start Time 1, INITIAL TIME+ Ramp End Time 1)+(STEP(1, INITIAL TIME)*(exp( Energy Price Exponential Growth Rate 1*( Time- INITIAL TIME))-1))+ Sine Amplitude 1*SIN(2*3.14159*( Time- INITIAL TIME)/ Sine Period 1)+STEP(1, INITIAL TIME+ Noise Start Time 1)* Autocorrelated Noise 1 Description: Input is a dimensionless variable which provides a variety of test input patterns, including a step,pulse, sine wave, and random noise. Present In 1 View: Used By
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HeatPumpModel_v31 | #201 A |
IRA Actual Subsidy for Heat Pumps (Dollar / House) = MIN( IRA Implemented Subsidy Proportional Rate for Heat Pumps* Unsubsidized Cost of Heat Pumps, Implemented IRA Maximum Proportional Subsidy for Heat Pumps) Description: The actual implemented subsidy for heat pumps from the Inflation Reduction Act, as opposed to the expected subsidy value. Present In 1 View: Used By
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HeatPumpModel_v31 | #202 A |
IRA Expected Proportional Subsidy for Heat Pumps (Dollar / House) = MIN( Proportional IRA Subsidy Switch for Heat Pumps* Expected IRA Proportional Subsidy Rate for Heat Pumps* Unsubsidized Cost of Heat Pumps, Expected Maximum IRA Proportional Subsidy for Heat Pumps) Description: The IRA's subsidies for a heat pump's upfront costsintensity, taking into account whether it has gone into effect. Present In 1 View: Used By
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HeatPumpModel_v31 | #203 A |
IRA Implemented Subsidy Proportional Rate for Heat Pumps (dmnl) = IF THEN ELSE( Time>= IRA Proportional Subsidy Implementation Year for Heat Pumps:AND: IRA Lump Sum Subsidy for Heat Pumps Final Year>= Time, IRA Proportional Subsidy Rate for Heat Pumps,0) Description: The implemented proportional subsidy rate, taking into account whether a proportional subsidy has been implemented. Equal to zero before implementation year and proportional subsidy rate afterwards. Present In 2 Views: Used By
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HeatPumpModel_v31 | #204 C |
IRA Lump Sum Subsidy for Heat Pumps Final Year (Year ) = 2032 Description: The year in which the subsidy is phased out. If final time, then has no ending date. Present In 1 View: Used By
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HeatPumpModel_v31 | #205 C |
IRA Maximum Proportional Subsidy for Heat Pumps (Dollar / House ) = 2000 Description: The maximum proportional subsidy for heat pumps that will be offered, regardless of the subsidy rate. For instance, if the proportional subsidy is 50% but the maximum is $1000, then for a retrofit project that costs $3000 only a $1000 subsidy will be given.Taken from: https://www.energystar.gov/about/federal-tax-credits Present In 2 Views: Used By
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HeatPumpModel_v31 | #206 C |
IRA Proportional Subsidy Implementation Year for Heat Pumps (Year ) = 2023 Description: Time at which the proportional subsidy will take effect from the Inflation Reduction Act, from https://www.nrdc.org/stories/consumer-guide-inflation-reduction-act Present In 1 View: Used By
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HeatPumpModel_v31 | #207 C |
IRA Proportional Subsidy Rate for Heat Pumps (dmnl ) = 0.3 Description: Proportion of total heat pump cost that will be credited as part of a proportional subsidy.Taken from: https://www.energystar.gov/about/federal-tax-credits Present In 1 View: Used By
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HeatPumpModel_v31 | #208 C |
kBTU per kWH (kBTU / kWH ) = 3.41214 Present In 1 View: Used By
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HeatPumpModel_v31 | #209 A |
Lifetime Marginal Cost Reductions from Retrofitting (Dollar * Year * F / kBTU) Lifetime Marginal Cost Reductions from Retrofitting[Cohort,Heating and Cooling System] = Marginal Cost Reductions from Retrofitting[ Cohort, Heating and Cooling System]/ Discount Rate Description: The amount of marginal emissions reductions over the model's lifetime. Assumes constant continuous discounting at the discount rate and infinite time horizon -- homeowners are so concerned about emissions that they consider emissions that occur after they move out. Present In 1 View: Used By
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HeatPumpModel_v31 | #210 A |
Marginal Cooling Cost Reduction from Retrofitting (Dollar * F / (kBTU)) Marginal Cooling Cost Reduction from Retrofitting[Cohort,Heating and Cooling System] = Expected Cooling Energy Price* Cooling Degree Days/ Cooling System Efficiency[ Heating and Cooling System] Description: The marginal reduction in heating costs per square foot from retrofitting away one unit of U. Calculated as the derivative of total cooling energy costs with respect to U, where total cooling energy costs are Cooling Energy Price * Cooling Energy Use Per Square Foot, and the latter is U value * Area * Cooling Temperature Differential (CDD) / Area. Present In 2 Views: Used By
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HeatPumpModel_v31 | #211 A |
Marginal Cost at Binding U Value without EEHIC ((Dollar / sf) / (kBTU / (sf * F * Year))) Marginal Cost at Binding U Value without EEHIC[Cohort,Heating and Cooling System] = Expected Reference Marginal Cost*(ZIDZ( Reference U Value, U Value at Which EEHIC Cap Binds[ Cohort, Heating and Cooling System]))^ Sensitivity of Marginal Cost to U Value Description: This is the marginal cost of retrofitting when the cap from the EEHIC is binding. That is, this is the value the marginal cost curve jumps to at the discontinuity. Present In 1 View: Used By
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.housingagingchain v15 | #212 A |
Marginal Cost Reductions from Retrofitting (Dollar * F / kBTU) Marginal Cost Reductions from Retrofitting[Cohort,Heating and Cooling System] = Marginal Cooling Cost Reduction from Retrofitting[ Cohort, Heating and Cooling System]+ Marginal Heating Cost Reduction from Retrofitting[ Cohort, Heating and Cooling System] Description: Total cost reductions from retrofitting away one unit of U value for existing homes, including reductions in both heating and cooling costs. Present In 2 Views: Used By
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.housingagingchain v5 testing | #213 A |
Marginal Heating Cost Reduction from Retrofitting (Dollar * F / (kBTU)) Marginal Heating Cost Reduction from Retrofitting[Cohort,Heating and Cooling System] = Expected Heating Energy Price[ Heating and Cooling System]* Heating Degree Days/ Heating System Efficiency[ Heating and Cooling System] Description: The marginal reduction in heating costs per square foot from retrofitting away one unit of U, for existing housing. Calculated as the derivative of total heating energy costs with respect to U, where total heating energy costs are Heating Energy Price * Heating Energy Use Per Square Foot, and the latter is U value * Area * Heating Temperature Differential (HDD) / efficiency / Area. Present In 1 View: Used By
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.housingagingchain v15 | #214 C |
Mass Save Proportional Subsidy Rate for Retrofits (dmnl ) = 0.75 Description: Proportion of total retrofit cost that will be credited as part of a proportional subsidy. Theoretically, this can vary between current housing and housing under construction.Based off Mass Save data: https://www.masssave.com/en/residential/rebates-and-incentives/insulation-and-windows/insulation-and-air-sealing Present In 2 Views: Used By
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HeatPumpModel_v31 | #215 A |
Massachusetts Annual Heat Pumps Subsidy (Dollar / Year) = Total Heat Pump Sales* MassSave Implemented Lump Sum Subsidy for Heat Pumps Description: The actual subsidy provided for purchase of heat pumps by Massachusetts, as opposed to what the subsidy expected by homeowners is. Present In 1 View: Used By
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HeatPumpModel_v31 | #216 A |
Massachusetts Annual Retrofit Subsidy (Dollar / Year) = SUM( Houses Retrofitting per Year[ Cohort!, Heating and Cooling System!]* Actual MassSave Subsidy for Retrofits[ Cohort!, Heating and Cooling System!]) Description: Amount of money Massachusetts spends on MassSave subsidies for retrofits, yearly. Present In 1 View: Used By
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HeatPumpModel_v31 | #217 SM,A |
MassSave Expected Lump Sum Subsidy for Heat Pumps (Dollar / House) = SMOOTH3( MassSave Implemented Lump Sum Subsidy for Heat Pumps, Delay in Changing Subsidy Expectations) Description: Expected lump sum subsidy that lowers subsidized retrofit costs from the state, taking into account information delays. Present In 1 View: Used By
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.housingagingchain v15 | #218 A |
MassSave Expected Subsidy for Retrofits (Dollar / House) MassSave Expected Subsidy for Retrofits[Cohort,Heating and Cooling System,Retrofitting Status] = MIN( Proportional Subsidy Switch for Retrofits* Expected MassSave Proportional Subsidy Rate for Retrofits* Unsubsidized Retrofit Cost Intensity[ Cohort, Heating and Cooling System]* Average Area[ Cohort, Retrofitting Status], Expected MassSave Maximum Subsidy for Retrofits) Description: The proportional subsidy offered against the retrofit cost intensity from MassSave, taking into account whether it has gone into effect. Present In 2 Views: Used By
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HeatPumpModel_v31 | #219 A |
MassSave Implemented Lump Sum Subsidy for Heat Pumps (Dollar / House) = MIN( Unsubsidized Cost of Heat Pumps,IF THEN ELSE( Time>= MassSave Lump Sum Subsidy Implementation Year for Heat Pumps:AND: Time<= MassSave Lump Sum Subsidy for Heat Pumps Final Year, MassSave Lump Sum Subsidy Amount for Heat Pumps,0)) Description: Lump sum subsidy from MassSave that is actually implemented. Equal to zero before implementation year and to lump sum subsidy after implementation year. Present In 2 Views: Used By
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HeatPumpModel_v31 | #220 C |
MassSave Lump Sum Subsidy Amount for Heat Pumps (Dollar / House ) = 10000 Description: The total amount of money offered by the lump sum subsidy.Taken from: https://www.masssave.com/residential/rebates-and-incentives/heating-and-cooling/heat-pumps/air-source-heat-pumps. Present In 1 View: Used By
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HeatPumpModel_v31 | #221 C |
MassSave Lump Sum Subsidy for Heat Pumps Final Year (Year) = 2200 Description: The year in which the state's subsidy for heat pumps is phased out. Present In 1 View: Used By
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HeatPumpModel_v31 | #222 C |
MassSave Lump Sum Subsidy Implementation Year for Heat Pumps (Year ) = 2020 Description: The year in which the state's lump sum subsidy for heat pumps will activate. Present In 1 View: Used By
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.housingagingchain v15 | #223 C |
MassSave Maximum Subsidy for Retrofits (Dollar / House ) = 1e+07 Description: The maximum proportional subsidy that will be offered, regardless of that subsidy's discount. For instance, if the proportional subsidy is 50% but the maximum is $1000, then for a retrofit project that costs $3000 only a $1000 subsidy will be given.If very large, then no maximum subsidy given. Present In 1 View: Used By
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HeatPumpModel_v31 | #224 A |
MassSave Subsidy for Retrofits Final Year (Year) = FINAL TIME Description: The year in which the subsidy is phased out. If final time, then has no ending data. Present In 1 View: Used By
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.housingagingchain v8 | #225 C |
Maximum Energy Price (Dollar / kBTU) = 10 Description: Shifts x-axis for graph of optimal retrofit amount as a function of energy price. Present In 0 Views: |
HeatPumpModel_v31 | #226 A |
Monthly Total Heat Pump Sales (Houses/ Month) = Total Heat Pump Sales/ Months per Year Description: The number of homes buying heat pumps, every year. Present In 1 View: Used By |
HeatPumpModel_v31 | #227 C |
Months per Year (Month / Year ) = 12 Description: The number of months per year. Present In 1 View: Used By
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HeatPumpModel_v31 | #229 A |
Net Age Shift by System (Year * House / Year) Net Age Shift by System[Cohort,Heating and Cooling System] = IF THEN ELSE( Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System]>0, Average Age[ Cohort,Not Open to Retrofitting]* Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System], Average Age[ Cohort,Open to Retrofitting]* Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System]) Description: The shift in age from switching retrofit system, by cohort and by heating and cooling system. Present In 1 View: Used By
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HeatPumpModel_v31 | #230 F,A |
Net Age Shift from Retrofitting Status Shifting (House * Year / Year) Net Age Shift from Retrofitting Status Shifting[Cohort] = SUM( Net Age Shift by System[ Cohort, Heating and Cooling System!]) Description: Shift in age within each cohort due to houses becoming open or closed to retrofitting. Present In 1 View: Used By
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.housingagingchain v8 | #231 A |
Net Area Shift by System (sf / Year) Net Area Shift by System[Cohort,Heating and Cooling System] = IF THEN ELSE( Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System]>0, Average Area[ Cohort,Not Open to Retrofitting]* Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System], Average Area[ Cohort,Open to Retrofitting]* Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System]) Description: The shift in area from switching retrofit status, by heating and cooling system in addition to cohort. Present In 1 View: Used By
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HeatPumpModel_v31 | #232 F,A |
Net Area Shift due to Retrofit Status Switching (sf / Year) Net Area Shift due to Retrofit Status Switching[Cohort] = SUM( Net Area Shift by System[ Cohort, Heating and Cooling System!]) Description: Shift in area between energy sources due to houses switching sources. Present In 1 View: Used By
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HeatPumpModel_v31 | #233 F,A |
Net Change in Homes Retrofitting (Houses / Year) Net Change in Homes Retrofitting[Cohort,Heating and Cooling System] = ( Indicated Homes Retrofitting[ Cohort, Heating and Cooling System]- Housing[ Cohort, Heating and Cooling System,Open to Retrofitting])/ Time to Decide to Retrofit Description: Homes that are in the process of deciding to retrofit. Present In 3 Views: Used By
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HeatPumpModel_v31 | #234 F,A |
Net U Value Change from Retrofitting Home Shifts (House * kBTU / (Year * F * sf) / Year) Net U Value Change from Retrofitting Home Shifts[Cohort,Heating and Cooling System] = IF THEN ELSE( Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System]>0, U Value by Grouping[ Cohort, Heating and Cooling System,Not Open to Retrofitting]* Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System], U Value by Grouping[ Cohort, Heating and Cooling System,Open to Retrofitting]* Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System]) Description: Net change in U value due to homes becoming open or not to retrofitting. If net change is positive, then homes are going from not being open to retrofitting to being open, meaning non-retrofitting homes' U value is flowing into the retrofitting homes' U value. If net change is negative, then houses becoming less likely to retrofit. Present In 1 View: Used By
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HeatPumpModel_v31 | #235 C |
No Turnover Switch (dmnl ) = 0 Description: Switch for having no turnover in housing stock-- i.e., no housing demolitions or constructions. Present In 1 View: Used By
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.housingagingchain v8 | #238 C |
Noise Correlation Time (Year) = 4 Description: The correlation time constant for Pink Noise. Present In 1 View: Used By
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.housingagingchain v8 | #236 C |
Noise Correlation Time 0 (Year) = 4 Description: The correlation time constant for Pink Noise. Present In 1 View: Used By
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HeatPumpModel_v31 | #237 C |
Noise Correlation Time 1 (Year) = 4 Description: The correlation time constant for Pink Noise. Present In 1 View: Used By
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.housingagingchain v8 | #241 C |
Noise Standard Deviation (Dimensionless) = 0 Description: The standard deviation of the pink noise process. Present In 1 View: Used By
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.housingagingchain v8 | #239 C |
Noise Standard Deviation 0 (Dimensionless) = 0 Description: The standard deviation of the pink noise process. Present In 1 View: Used By
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HeatPumpModel_v31 | #240 C |
Noise Standard Deviation 1 (Dimensionless) = 0 Description: The standard deviation of the pink noise process. Present In 1 View: Used By
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.housingagingchain v8 | #244 C |
Noise Start Time (Year) = 5 Description: Start time for the random input. Present In 1 View: Used By
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.housingagingchain v8 | #242 C |
Noise Start Time 0 (Year) = 5 Description: Start time for the random input. Present In 1 View: Used By
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HeatPumpModel_v31 | #243 C |
Noise Start Time 1 (Year) = 5 Description: Start time for the random input. Present In 1 View: Used By
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HeatPumpModel_v31 | #245 A,T |
Oil COP TABLE (dmnl) Oil COP TABLE([(2020,0)-(2050,1)],(2020,0.835),(2030,0.84),(2050,0.84)) ![]() Description: Efficiency of oil systems over time. Taken as the average of projected efficiency for reference distillate boilers and furnaces, from MassDEP's Energy Pathways for Deep Decarbonization Report (pg. 97): https://www.mass.gov/doc/energy-pathways-for-deep-decarbonization-report/download Present In 1 View: Used By
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HeatPumpModel_v31 | #246 A |
Optimal Cooling Cost (Dollar / (Year * House)) Optimal Cooling Cost[Cohort,Heating and Cooling System,Retrofitting Status] = Expected Cooling Energy Price* Optimal Cooling Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status] Description: The average cost of cooling, if homes have the optimal U value. Present In 1 View: Used By
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HeatPumpModel_v31 | #247 C |
Optimal Cooling Energy Use (kBTU / (Year * House)) Optimal Cooling Energy Use[Cohort,Heating and Cooling System,Retrofitting Status] = Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System]* Average Area[ Cohort, Retrofitting Status]* Cooling Degree Days/ Cooling System Efficiency[ Heating and Cooling System] Optimal Cooling Energy Use[Cohort,No AC Cooling,Retrofitting Status] = 0 Description: The energy used for cooling, for the average household, if U is optimal. Calculated by setting efficiency times energy use equal to total cooling temperature differential(CDD), multiplied by optimal U, and solving for energy use. Present In 1 View: Used By
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HeatPumpModel_v31 | #248 A |
Optimal Energy Cost (Dollar / (Year * House)) Optimal Energy Cost[Cohort,Heating and Cooling System,Retrofitting Status] = Optimal Cooling Cost[ Cohort, Heating and Cooling System, Retrofitting Status]+ Optimal Heating Cost[ Cohort, Heating and Cooling System, Retrofitting Status] Description: Total energy cost if optimal U value is achieved. Present In 2 Views: Used By
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HeatPumpModel_v31 | #249 A |
Optimal Energy Use (kBTU / (House * Year)) Optimal Energy Use[Cohort,Heating and Cooling System,Retrofitting Status] = Optimal Cooling Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status]+ Optimal Heating Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status] Description: Average energy use to heat and cool per house if U is optimal. Present In 1 View: Used By |
HeatPumpModel_v31 | #250 A |
Optimal Heating Cost (Dollar / (Year * House)) Optimal Heating Cost[Cohort,Heating and Cooling System,Retrofitting Status] = Expected Heating Energy Price[ Heating and Cooling System]* Optimal Heating Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status] Description: Average heating cost if U value is optimal. Present In 1 View: Used By
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HeatPumpModel_v31 | #251 A |
Optimal Heating Energy Use (kBTU / (House * Year)) Optimal Heating Energy Use[Cohort,Heating and Cooling System,Retrofitting Status] = Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System]* Average Area[ Cohort, Retrofitting Status]* Heating Degree Days/ Heating System Efficiency[ Heating and Cooling System] Description: The energy used for heating, for the average household, if U is optimal. Calculated by setting efficiency times energy use equal to total heating temperature differential, multiplied by optimal U, and solving for energy use. Present In 1 View: Used By
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HeatPumpModel_v31 | #252 A |
Optimal U Across All Housing (kBTU / (sf * F * Year)) = SUM( Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort!, Heating and Cooling System!]* Housing[ Cohort!, Heating and Cooling System!, Retrofitting Status!]/ Total Housing Stock) Description: The average optimal U value across all cohorts and all energy sources. Weigh optimal U by share of housing so that houses which haven't been built yet don't factor into the average. Present In 1 View: Used By |
.housingagingchain v18 | #253 A |
Optimal U for New Homes (kBTU / (sf * Year * F)) Optimal U for New Homes[Cohort,Heating and Cooling System] = (( Expected Reference Marginal Cost/( Marginal Cost Reductions from Retrofitting[ Cohort, Heating and Cooling System]/ Discount Rate))^(1/ Sensitivity of Marginal Cost to U Value))* Reference U Value*(1- Expected MassSave Proportional Subsidy Rate for Retrofits) Description: The optimal U for houses being built, taking into account energy savings and construction costs. Calculated in a similar manner to the optimal U for existing homes. Present In 2 Views: Used By
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HeatPumpModel_v31 | #255 A |
Optimal U Value for Existing Homes (kBTU / (sf * F * Year)) Optimal U Value for Existing Homes[Cohort,Heating and Cooling System] = IF THEN ELSE( U Value at Which EEHIC Cap Binds[ Cohort, Heating and Cooling System]< Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System], Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System],IF THEN ELSE( Lifetime Marginal Cost Reductions from Retrofitting[ Cohort, Heating and Cooling System]> Marginal Cost at Binding U Value without EEHIC[ Cohort, Heating and Cooling System], Optimal U Value with No EEHIC Proportional Subsidy[ Cohort, Heating and Cooling System], U Value at Which EEHIC Cap Binds[ Cohort, Heating and Cooling System])) Description: This is the optimal value at which homes will retrofit to. This is the value at which the marginal costs of retrofitting equal the marginal benefits.This strange formulation comes from the fact that there is a discontinuity in the marginal cost curve. The intuition can be seen in this graph: https://www.desmos.com/calculator/4esbngkovt. In the graph, X is the U value to which to retrofit and y is the marginal benefit or cost, and the curved line is the marginal cost curve and the horizontal is the marginal benefit. Y, the marginal benefit, can be adjusted. I set reference marginal cost and reference U to 1 for clarity in this graph.Because the Energy Efficiency Home Improvement Credit takes of 30% of the retrofit cost up to $1200, there is a U value (x_cap in the graph) at which, below it, marginal costs benefit from the EEHIC's 30% subsidy (the red line in the graph). After that, there is no such 30% subsidy, and the marginal cost curve is shifted up (blue line in the graph). What then is the optimal U? The first if then else statement captures the fact that if the marginal cost curve with the 30% subsidy intersects the marginal benefit line, then homes just retrofit to that point. The EEHIC cap is not binding. If the cap is binding, then the second if then else statement captures the fact that if the marginal benefit is still greater than the marginal costs after the cap in EEHIC -- that is, it's still worth to retrofit even without a 30% subsidy-- then homes retrofit to the point where the higher MC curve intersects the marginal benefit. If this is not true -- if the marginal cost at the discontinuity jumps above the marginal benefit-- then retrofitting beyond the discontinuity means marginal costs are greater than marginal benefits, and so they'll retrofit to the discontinuity. Present In 1 View: Used By
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.housingagingchain v4 testing | #254 A |
Optimal U Value for Existing Homes if no EEHIC Cap (kBTU / (sf * F * Year)) Optimal U Value for Existing Homes if no EEHIC Cap[Cohort,Heating and Cooling System] = Reference U Value*( Expected Reference Marginal Cost*(1- Expected MassSave Proportional Subsidy Rate for Retrofits)*(1- Expected EEHIC Proportional Subsidy Rate for Retrofits)/ Lifetime Marginal Cost Reductions from Retrofitting[ Cohort, Heating and Cooling System])^(1/ Sensitivity of Marginal Cost to U Value) Description: Optimal U Value to retrofit to should achieve if fixed costs are not taken into consideration (e.g., if fixed costs have already been paid) for existing houses). This takes into account the proportional subsidy but not the lump sum. Effect of proportional subsidies are multiplied instead of added, i.e., (1 - subsidy1)(1-subsidy2) instead of (1 - subsidy1 - subsidy2), because costs from state programs are subtracted when calculating federal subsidy in MA (https://www.masssave.com/inflation-reduction-act, "How do Mass Save rebates factor into the calculation of tax credits?")Expression is derived from the marginal energy savings from retrofitting being Energy Price and marginal cost of retrofitting being Reference MC * (1/(U/ Reference U))^Sensitivity and then solving for optimal retrofit when marginal savings equal marginal cost.This is the optimal U value if there were no cap on the Energy Efficiency Home Improvement Credit, i.e., no discontinuity the marginal cost curve. Present In 8 Views:
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HeatPumpModel_v31 | #256 A |
Optimal U Value with No EEHIC Proportional Subsidy (kBTU / (sf * F * Year)) Optimal U Value with No EEHIC Proportional Subsidy[Cohort,Heating and Cooling System] = Reference U Value*( Expected Reference Marginal Cost*(1- Expected MassSave Proportional Subsidy Rate for Retrofits)/ Lifetime Marginal Cost Reductions from Retrofitting[ Cohort, Heating and Cooling System])^(1/ Sensitivity of Marginal Cost to U Value) Description: Optimal U value if there is no proportional subsidy from the EEHIC at all. Present In 1 View: Used By
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HeatPumpModel_v31 | #257 A |
Peak Cooling Load on Grid (kWH / Day) = SUM( Peak Load from Heat Pumps on Hottest Days per Group[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: Annual load from heat pumps providing heating on the coldest day, across all groups. Present In 1 View: Used By |
HeatPumpModel_v31 | #258 A |
Peak Heating Load on Grid (kWH / Day) = SUM( Peak Load from Heat Pumps on Coldest Days per Group[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: Annual load from heat pumps providing heating on the coldest days, across all groups. Present In 1 View: Used By |
HeatPumpModel_v31 | #259 C |
Peak Load from Heat Pumps on Coldest Days per Group (kWH / Day) Peak Load from Heat Pumps on Coldest Days per Group[Cohort,Heat Pump Heating and Cooling,Retrofitting Status] = Housing[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status]* U Value by Grouping[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status]* Average Area[ Cohort, Retrofitting Status]* HDD on Coldest Day/ Heat Pump COP on Coldest Days/( kBTU per kWH* Days per Year) Peak Load from Heat Pumps on Coldest Days per Group[Cohort,Fossil Fuel Heating,Retrofitting Status] = 0 Description: The load that houses with heat pumps will put on the grid due to providing heating on the coldest day of the year, when heat pumps are less efficient and per cohort and retrofit status. Present In 1 View: Used By
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HeatPumpModel_v31 | #260 C |
Peak Load from Heat Pumps on Hottest Days per Group (kWH / Day) Peak Load from Heat Pumps on Hottest Days per Group[Cohort,Heating and Cooling System,Retrofitting Status] = Housing[ Cohort, Heating and Cooling System, Retrofitting Status]* U Value by Grouping[ Cohort, Heating and Cooling System, Retrofitting Status]* Average Area[ Cohort, Retrofitting Status]* CDD on Coldest Day/ Cooling System Efficiency[ Heating and Cooling System]/( kBTU per kWH* Days per Year) Peak Load from Heat Pumps on Hottest Days per Group[Cohort,No AC Cooling,Retrofitting Status] = 0 Description: The load that houses with heat pumps will put on the grid due to providing heating on the coldest day of the year, per year and per cohort and retrofit status. Present In 1 View: Used By
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HeatPumpModel_v31 | #261 C |
Peak Load from Non Heating or Cooling Sources (kWH / Day ) = 18344.8*1000*0.461799 Description: The peak load coming from non-heating sources, like other household uses, commercial uses, industrial uses, etc. Approximated as the average peak load in September, October, April, and May of 2022 and 2023 from New England ISO data, since there is little heating or cooling demand in those swing months. We multiply by 0.46 as Massachusetts has 46% of New England's population and we assume demand is proportional to population.Data source: https://www.iso-ne.com/isoexpress/web/reports/load-and-demand/-/tree/net-ener-peak-load Present In 1 View: Used By |
HeatPumpModel_v31 | #262 A |
Perceived Cost of Not Retrofitting (Dollar / (House * Year)) Perceived Cost of Not Retrofitting[Cohort,Heating and Cooling System] = (1- Weight on Upfront Cost)* Total Cost of Ownership of Average Home[ Cohort, Heating and Cooling System] Description: Homeowners' perceived cost (or negation of the utility) for not retrofitting their home further, taking into homeowners weighupfront retrofit costs higher. Present In 1 View: Used By
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HeatPumpModel_v31 | #263 A |
Perceived Cost of Retrofitting (Dollar / (House * Year)) Perceived Cost of Retrofitting[Cohort,Heating and Cooling System] = (1- Weight on Upfront Cost)* Total Cost of Ownership of Retrofitted Homes[ Cohort, Heating and Cooling System]+ Weight on Upfront Cost* Amoritized Subsidized Retrofit Cost[ Cohort, Heating and Cooling System] Description: Homeowners' perceived costs (or negation of their utility) for retrofitting their home, taking into account higher costs have less utilty and homeowners weigh upfront retrofit costs higher. Present In 2 Views: Used By
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HeatPumpModel_v31 | #264 C |
Pounds per Ton (lb CO2 / tCO2) = 2204.6 Description: The number of pounds in a metric ton. Present In 1 View: Used By
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.housingagingchain v5 testing | #265 C |
Present Value of Cooling Operating Costs (Dollars / (House)) Present Value of Cooling Operating Costs[Cohort,Heat Pump Heating and Cooling,Retrofitting Status,Heating and Cooling System] = ( Expected Cooling Energy Price* Cooling Energy Use Under Alternatives[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]/ Discount Rate)*(1-exp(- Discount Rate* Average Lifetime of Cooling Technology[ Heating and Cooling System])) Present Value of Cooling Operating Costs[Cohort,Traditional Cooling,Retrofitting Status,Heating and Cooling System] = ( Expected Cooling Energy Price* Cooling Energy Use Under Alternatives[ Cohort, Traditional Cooling, Retrofitting Status, Heating and Cooling System]/ Discount Rate)*(1-exp(- Discount Rate* Average Lifetime of Cooling Technology[ Heating and Cooling System])) Present Value of Cooling Operating Costs[Cohort,Heating and Cooling System,Retrofitting Status,No AC Cooling] = 0 Description: The present value of cost to operate a cooling system, from the perspective of a house with one heating and cooling system (first H & C subscript) to another (the second). The operating cost is just the energy price times usage for cooling. Assumes constant operating costs and discount rate, with costs ending at the end of the average lifetime. Present In 1 View: Used By
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.housingagingchain v5 testing | #266 A |
Present Value of Heating Operating Costs (Dollar / (House)) Present Value of Heating Operating Costs[Cohort,Heat Pump Heating and Cooling,Retrofitting Status,Heating and Cooling System] = ( Expected Heating Energy Price[ Heating and Cooling System]* Heating Energy Use Under Alternatives[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]/ Discount Rate)*(1-exp(- Discount Rate* Average Lifetime of Heating Technology[ Heating and Cooling System])) Present Value of Heating Operating Costs[Cohort,Fossil Fuel Heating,Retrofitting Status,Heating and Cooling System] = ( Expected Heating Energy Price[ Heating and Cooling System]* Heating Energy Use Under Alternatives[ Cohort, Fossil Fuel Heating, Retrofitting Status, Heating and Cooling System]/ Discount Rate)*(1-exp(- Discount Rate* Average Lifetime of Heating Technology[ Heating and Cooling System])) Description: The present value of cost to operate a heating system, from the perspective of a house with one heating and cooling system (first H & C subscript) to another (the second). The operating cost is just the energy price times usage for cooling. Assumes constant operating costs and continuous discount rate, with costs ending at the end of the average lifetime. Present In 1 View: Used By
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HeatPumpModel_v31 | #267 A |
Present Value of Operating Costs (Dollar / (House) ) Present Value of Operating Costs[Cohort,Heat Pump Heating and Cooling,Retrofitting Status,Heating and Cooling System] = Present Value of Cooling Operating Costs[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]+ Present Value of Heating Operating Costs[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System] Present Value of Operating Costs[Cohort,Fossil Fuel Heating,Retrofitting Status,Heating and Cooling System] = Present Value of Cooling Operating Costs[ Cohort, Fossil Fuel Heating, Retrofitting Status, Heating and Cooling System]+ Present Value of Heating Operating Costs[ Cohort, Fossil Fuel Heating, Retrofitting Status, Heating and Cooling System] Description: Operating costs of each heating and cooling technology, in the order: heat pump only, central AC, window AC (two units), no AC, gas, oil.For window AC and no AC, this is includes the cost of the lack of comfort these technologies have. That is, it includes the amount of money that users of those technologies would pay each month to use central AC or heat pumps instead due to window ACs' noise or both technologies' inability to properly cool homes.Rough data from:Heat pump and central ac: https://carbonswitch.com/heat-pump-costs/Window AC ( 70/year): https://applianceanalysts.com/window-ac-running-costs/Gas: https://homeguide.com/costs/gas-furnace-pricesOil: https://homeguide.com/costs/oil-furnace-cost Present In 1 View: Used By
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HeatPumpModel_v31 | #268 C |
Present Value Replacement Cost (Dollar / House) Present Value Replacement Cost[Heating and Cooling System] = Cost of Cooling System Replacement[ Heating and Cooling System]/( Average Lifetime of Cooling Technology[ Heating and Cooling System]* Discount Rate)+ Cost of Heating System Replacement[ Heating and Cooling System]/( Average Lifetime of Heating Technology[ Heating and Cooling System]* Discount Rate) Present Value Replacement Cost[Heat Pump Heating and Cooling] = Cost of Cooling System Replacement[ Heat Pump Heating and Cooling]/( Average Lifetime of Cooling Technology[ Heat Pump Heating and Cooling]* Discount Rate) Present Value Replacement Cost[No AC Cooling] = 0 Description: Present value of replacement costs of both Heating and Cooling System given continuous discounting and where systems have a constant hazard rate of failure. On average, 1/L of the systems will break every year, because we assume failure rate is constant and where L is the lifetime of the system. Therefore, the average home will incur an average cost of R/L (R is replacement or upfront cost) every year. We assume that the household ignores the fact that after a finite time they'll leave the house or sell the system, because we assume they'll be able to sell the system at a price equal to the NPV at that time. Thus, selling the system or moving house does not change the NPV of the system when making the decision to switch.For houses that primarily use heat pumps, this formulation assures no double counting. Present In 1 View: Used By
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HeatPumpModel_v31 | #269 C |
Proportional EEHIC Subsidy Implementation Year for Retrofits (Year ) = 2023 Description: Time at which the proportional subsidy will take effect from the Energy Efficiency Home Improvement Credit.Source: https://www.nrdc.org/stories/consumer-guide-inflation-reduction-act Present In 2 Views: Used By
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HeatPumpModel_v31 | #270 C |
Proportional IRA Subsidy Switch for Heat Pumps (dmnl ) = 1 Description: Turns proportional subsidy's effect on retrofit cost on/off. Present In 2 Views: Used By
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.housingagingchain v15 | #271 C |
Proportional MassSave Subsidy Implementation Year for Retrofits (Year ) = 2020 Description: Time at which the proportional subsidy will take effect. Present In 2 Views: Used By
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.housingagingchain v15 | #272 C |
Proportional Subsidy Switch for Retrofits (dmnl ) = 1 Description: Turns proportional subsidy's effect on retrofit cost on/off. Present In 1 View: Used By
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.housingagingchain v8 | #275 C |
Pulse Time (Year) = 5 Description: Time at which the pulse in Input occurs. Present In 1 View: Used By
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.housingagingchain v8 | #273 C |
Pulse Time 0 (Year) = 5 Description: Time at which the pulse in Input occurs. Present In 1 View: Used By
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HeatPumpModel_v31 | #274 C |
Pulse Time 1 (Year) = 5 Description: Time at which the pulse in Input occurs. Present In 1 View: Used By
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.housingagingchain v8 | #278 C |
Ramp End Time (Year) = 1e+09 Description: End time for the ramp input. Present In 1 View: Used By
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.housingagingchain v8 | #276 C |
Ramp End Time 0 (Year) = 1e+09 Description: End time for the ramp input. Present In 1 View: Used By
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HeatPumpModel_v31 | #277 C |
Ramp End Time 1 (Year) = 1e+09 Description: End time for the ramp input. Present In 1 View: Used By
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.housingagingchain v8 | #281 C |
Ramp Start Time (Year) = 5 Description: Start time for the ramp input. Present In 1 View: Used By
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.housingagingchain v8 | #279 C |
Ramp Start Time 0 (Year) = 5 Description: Start time for the ramp input. Present In 1 View: Used By
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HeatPumpModel_v31 | #280 C |
Ramp Start Time 1 (Year) = 5 Description: Start time for the ramp input. Present In 1 View: Used By
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HeatPumpModel_v31 | #282 C |
Reference Lifetime Cost of Heating and Cooling Systems (Dollar / House ) = 30000 Description: The reference value of lifetime heating and cooling combinations when people calculate affinity of each combo. Hand calibrated to roughly match heat pump sales in https://www.masssave.com/en/about/news-and-events/news/mass-save-sponsors-announce-record-number-of-heat-pump-installations-across-massachusetts Present In 1 View: Used By
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.housingagingchain v5 testing | #283 C |
Reference Marginal Cost (Dollar / sf / (kBTU / (sf * Year * F)) ) = 12.88 Description: The marginal cost of retrofitting at the reference EUI. In particular, the marginal cost of retrofitting at some EUI is Reference U *( (Reference U / U) ^ Sensitivity )This was calculated by setting sensitivity of marginal cost equal to 1.25, and finding the MC where a 31% reduction in U value from the reference costs a total of 4.95 / (1 - 0.21) dollars per square foot. The sensitivity value is explained in the sensitivity variable. Less et al. (2021, pg. 17-18) note that in their project database, the median cost per square foot for retrofits after subsidies was $4.95, while subsidies accounted for 21% of the total project cost for the median project. The median cost reduced energy use by 28% - 33% (of which I took the average), and I use the lower bound value to account for the fact that energy savings may occur not only due to increase in U value.Obviously all of this is extraordinarily rough.Less et al. (2021): https://eta-publications.lbl.gov/sites/default/files/final_walker_-_the_cost_of_decarbonization_and_energy.pdf Present In 2 Views: Used By
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HeatPumpModel_v31 | #284 C |
Reference Retrofit Cost (Dollar / (House * Year) ) = 8740 Description: Perceived cost of home heating to which households compare the perceived cost of retrofitting to when deciding to retrofit.Taken from average retrofit cost in Less et al. (2021)'s dataset, shown on page 17: https://eta-publications.lbl.gov/sites/default/files/final_walker_-_the_cost_of_decarbonization_and_energy.pdf Present In 2 Views: Used By
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.housingagingchain v9 | #285 C |
Reference U Value (kBTU / (sf * Year * F) ) = 0.006 Description: Reference U Value to ensure base of exponent in marginally optimal U value is dimensionless. This must be equal to or greater than code U value.Value taken as the average of U values of single family homes in MA in 2020 for our sample. Present In 3 Views: Used By
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HeatPumpModel_v31 | #286 C |
Retrofit Delay (Year ) = 2 Description: Time to retrofit. Assumed to be on average six months. Present In 2 Views: Used By
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HeatPumpModel_v31 | #288 F,A |
Retrofitting (House * kBTU / (sf * F* Year) / Year) Retrofitting[Cohort,Heating and Cooling System] = MAX(0, Housing[ Cohort, Heating and Cooling System,Open to Retrofitting]*( U Value by Grouping[ Cohort, Heating and Cooling System,Open to Retrofitting]- Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System])/ Retrofit Delay) Description: Energy use retrofitted away. If positive, this means that energy use is being retrofitted away. Present In 1 View: Used By
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HeatPumpModel_v31 | #287 A |
Retrofitting Across Cohorts and Systems (House * kBTU / ( Year * Year * sf * F)) = SUM( Retrofitting[ Cohort!, Heating and Cooling System!]) Description: The total amount of retrofits across all cohorts and heating/cooling systems. Present In 1 View: Used By |
HeatPumpModel_v31 | #290 C |
Sensitivity of Affinity to Cost (dmnl ) = 10 Description: Sensitivity of affinity to each heating and cooling combination having higher cost. The higher this, the fewer houses will convert to more expensive combinations.Calculated by hand calibration-- value ensures that amount of heat pumps sold 2020 - 2024 begins at about 10K and goes to about 20K in 2024, in accordance with MassSave data from https://www.masssave.com/en/about/news-and-events/news/mass-save-sponsors-announce-record-number-of-heat-pump-installations-across-massachusetts Present In 1 View: Used By
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.housingagingchain v5 testing | #291 C |
Sensitivity of Marginal Cost to U Value (dmnl ) = 3.25 Description: Measures the sensitivity of marginal retrofit costs as a function of optimal U value. In particular, marginal Retrofit Cost is equal to Constant * (U Value retrofitted away ^ Convexity). This must be greater than 1.This is taken from pg. 69 of Caswell (2022), where she calculates the total retrofit cost curve as a function of percent savings as having an exponent of 2.25. Because this is the total retrofit cost curve, the exponent for the marginal cost is -2.25 - 1. Because percent savings is inversely proportional to U, the exponent in the total cost curve will be the negation of 2.25, which is ensured in the marginal cost curve formulation in other variables. Present In 4 Views:
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HeatPumpModel_v31 | #292 C |
Sensitivity of Retrofits to Cost (dmnl ) = 10 Description: Sensitivity of affinity (and fraction of houses retrofitting) to NPV of retrofitting. Present In 2 Views: Used By
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.housingagingchain v8 | #295 C |
Sine Amplitude (Dimensionless) = 0 Description: Amplitude of sine wave in customer orders (fraction of mean). Present In 1 View: Used By
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.housingagingchain v8 | #293 C |
Sine Amplitude 0 (Dimensionless) = 0 Description: Amplitude of sine wave in customer orders (fraction of mean). Present In 1 View: Used By
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HeatPumpModel_v31 | #294 C |
Sine Amplitude 1 (Dimensionless) = 0 Description: Amplitude of sine wave in customer orders (fraction of mean). Present In 1 View: Used By
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.housingagingchain v8 | #298 C |
Sine Period (Year) = 50 Description: Period of sine wave in customer demand. Set initially to 50 weeks (1 year). Present In 1 View: Used By
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.housingagingchain v8 | #296 C |
Sine Period 0 (Year) = 50 Description: Period of sine wave in customer demand. Set initially to 50 weeks (1 year). Present In 1 View: Used By
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HeatPumpModel_v31 | #297 C |
Sine Period 1 (Year) = 50 Description: Period of sine wave. Set initially to 50 weeks (1 year). Present In 1 View: Used By
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HeatPumpModel_v31 | #299 A |
Soft Costs of Retrofitting (Dollar / Home) = Average Income* Homeowner Hours Spent Retrofitting Description: The "hassle cost" of retrofitting a home, that is not due to economic costs but rather from the time and hassle spent on a homeowner retrofitting (such as having to move out). This is calculated as the opportunity cost of all the time spent retrofitting, using the average hourly income for MA SFH homeowners. Present In 1 View: Used By
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.housingagingchain v8 | #302 C |
Step Time (Year) = 5 Description: Time for the step input. Present In 1 View: Used By
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.housingagingchain v8 | #300 C |
Step Time 0 (Year) = 5 Description: Time for the step input. Present In 1 View: Used By
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HeatPumpModel_v31 | #301 C |
Step Time 1 (Year) = 5 Description: Time for the step input. Present In 1 View: Used By
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HeatPumpModel_v31 | #303 A |
Subsidized Cost of Heat Pumps (Dollar / House) = MAX(0, Unsubsidized Cost of Heat Pumps- Expected Subsidy for Heat Pumps) Description: The upfront cost of heat pump once subsidies are taken into account. Present In 1 View: Used By
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.housingagingchain v15 | #304 A |
Subsidized Retrofit Cost (Dollar /House) Subsidized Retrofit Cost[Cohort,Heating and Cooling System] = Unsubsidized Retrofit Cost[ Cohort, Heating and Cooling System]- Expected Subsidy for Retrofits[ Cohort, Heating and Cooling System,Open to Retrofitting]+ Soft Costs of Retrofitting Description: The total retrofit cost, net of any subsidies for existing homes. Hassle costs are added here because subsidies cannot subsidize those directly. Present In 1 View: Used By
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HeatPumpModel_v31 | #305 C |
System Switching SWITCH (dmnl ) = 1 Description: Switch for allowing houses to switch heating and cooling systems. If 1, they can switch. Present In 1 View: Used By
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HeatPumpModel_v31 | #307 C |
Time to Decide to Retrofit (Year ) = 3 Description: Time to decide to retrofit. Present In 1 View: Used By
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.housingagingchain v8 | #309 L |
Total Age (House * Year) Total Age[Cohort,Not Open to Retrofitting] = ∫( Aging[ Cohort,Not Open to Retrofitting]- Net Age Shift from Retrofitting Status Shifting[ Cohort])- Age Removal[ Cohort,Not Open to Retrofitting] dt + Initial Age[ Cohort,Not Open to Retrofitting] Total Age[Cohort,Open to Retrofitting] = ∫( Net Age Shift from Retrofitting Status Shifting[ Cohort]+ Aging[ Cohort,Open to Retrofitting])- Age Removal[ Cohort,Open to Retrofitting] dt + Initial Age[ Cohort,Open to Retrofitting] Description: "Total" age for each cohort of housing. Present In 2 Views: Used By
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HeatPumpModel_v31 | #310 A |
Total Area (sf) = SUM( Area[ Cohort!, Retrofitting Status!]) Description: The total area across all housing. Present In 1 View: Used By
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HeatPumpModel_v31 | #311 A |
Total Cooling Cost (Dollar / Year) = SUM( Average Cooling Cost[ Cohort!, Heating and Cooling System!, Retrofitting Status!]* Housing[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: The total amount of money spent on cooling homes, per year. Present In 1 View: Used By
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HeatPumpModel_v31 | #312 A |
Total Cooling Energy Use (kBTU/ Year) = SUM( Average Cooling Energy Use[ Cohort!, Heating and Cooling System!, Retrofitting Status!]* Housing[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: The total amount of energy spent on cooling homes. Present In 1 View: Used By
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HeatPumpModel_v31 | #313 A |
Total Cost of Ownership of Average Home (Dollar / (Year * House)) Total Cost of Ownership of Average Home[Cohort,Heating and Cooling System] = Average Energy Costs for Retrofitting Home[ Cohort, Heating and Cooling System] Description: Total cost of ownership of a house without any further retrofit costs, i.e., at current energy use. Equivalent to energy costs because no retrofit costs are incurred. Present In 2 Views: Used By
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HeatPumpModel_v31 | #314 A |
Total Cost of Ownership of Retrofitted Homes (Dollar / (House * Year)) Total Cost of Ownership of Retrofitted Homes[Cohort,Heating and Cooling System] = Amoritized Subsidized Retrofit Cost[ Cohort, Heating and Cooling System]+ Average Energy Costs if Retrofitted[ Cohort, Heating and Cooling System] Description: The total cost of ownership of owning a home that has been retrofitted to the optimal U. Present In 1 View: Used By
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HeatPumpModel_v31 | #315 A |
Total Energy Use (kBTU / Year) = SUM( Energy Use by Grouping[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: The total energy use for all homes in the model. Present In 1 View: Used By
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HeatPumpModel_v31 | #316 A |
Total Heat Pump Sales (House / Year) = SUM( Houses Switching Sources[ Cohort!, Heating and Cooling System!, Retrofitting Status!,Heat Pump Only]+ Houses Switching Sources[ Cohort!, Heating and Cooling System!, Retrofitting Status!,Heat Pump and Gas]+ Houses Switching Sources[ Cohort!, Heating and Cooling System!, Retrofitting Status!,Heat Pump and Oil]) Description: Number of houses buying heat pumps every year. Present In 3 Views: Used By
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HeatPumpModel_v31 | #317 A |
Total Heating Cost (Dollar / Year) = SUM( Average Heating Cost[ Cohort!, Heating and Cooling System!, Retrofitting Status!]* Housing[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: The total amount of money spent on heating homes. Present In 1 View: Used By
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HeatPumpModel_v31 | #318 A |
Total Heating Energy Use (kBTU/ Year) = SUM( Average Heating Energy Use[ Cohort!, Heating and Cooling System!, Retrofitting Status!]* Housing[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: The total amount of energy spent on heating per year. Present In 1 View: Used By
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HeatPumpModel_v31 | #319 A |
Total Housing Starts (House/ Year) = SUM( Housing Starts[ Cohort!, Heating and Cooling System!]) Description: The total housing starts across all cohorts and sources. Present In 1 View: Used By |
.housingagingchain v4 testing | #320 A |
Total Housing Stock (House) = SUM( Housing[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: Total number of houses across all cohorts, heating/cooling systems, and retrofitting status. Present In 2 Views: Used By
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HeatPumpModel_v31 | #321 C |
Total Initial Homes (Houses ) = 20 Description: Total number of houses, including those retrofitting or not. Number taken from Census's list of households in MA in 2022: https://www.census.gov/quickfacts/fact/table/MA/PST045222 Present In 1 View: Used By |
HeatPumpModel_v31 | #322 C |
Total Initial Housing Starts (Houses / Year ) = 0.5 Description: Total number of houses that are built per year, across all systems. Present In 1 View: Used By
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HeatPumpModel_v31 | #323 A |
Total Present Value of Cost (Dollar / House) Total Present Value of Cost[Cohort,Heat Pump Heating and Cooling,Retrofitting Status,Heating and Cooling System] = Present Value of Operating Costs[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]+ Present Value Replacement Cost[ Heating and Cooling System]+ Cost of Bad Air Conditioning[ Heating and Cooling System] Total Present Value of Cost[Cohort,Fossil Fuel Heating,Retrofitting Status,Heating and Cooling System] = Present Value of Operating Costs[ Cohort, Fossil Fuel Heating, Retrofitting Status, Heating and Cooling System]+ Present Value Replacement Cost[ Heating and Cooling System]+ Cost of Bad Air Conditioning[ Heating and Cooling System] Description: Total net present value of each heating and cooling combination. Assume that for systems with fossil fuel backups, the backup system is used so sparingly that its operating costs are negligible. Present In 1 View: Used By
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HeatPumpModel_v31 | #327 L |
Total U Value (House * kBTU / (Year * F * sf) ) Total U Value[Cohort,Heating and Cooling System,Not Open to Retrofitting] = ∫((( Increase in U Value from Housing Starts[ Cohort, Heating and Cooling System]- Net U Value Change from Retrofitting Home Shifts[ Cohort, Heating and Cooling System])- U Value Loss from Demolition[ Cohort, Heating and Cooling System,Not Open to Retrofitting])+(SUM( U Value Shift from Source Switching[ Cohort, Heating and Cooling System!, Heating and Cooling System,Not Open to Retrofitting])))-(SUM( U Value Shift from Source Switching[ Cohort, Heating and Cooling System, Heating and Cooling System!,Not Open to Retrofitting])) dt + Initial U Value[ Cohort, Heating and Cooling System,Not Open to Retrofitting] Total U Value[Cohort,Heating and Cooling System,Open to Retrofitting] = ∫((( Net U Value Change from Retrofitting Home Shifts[ Cohort, Heating and Cooling System]- U Value Loss from Demolition[ Cohort, Heating and Cooling System,Open to Retrofitting])+(SUM( U Value Shift from Source Switching[ Cohort, Heating and Cooling System!, Heating and Cooling System,Open to Retrofitting])))-(SUM( U Value Shift from Source Switching[ Cohort, Heating and Cooling System, Heating and Cooling System!,Open to Retrofitting])))- Retrofitting[ Cohort, Heating and Cooling System] dt + Initial U Value[ Cohort, Heating and Cooling System,Open to Retrofitting] Description: Total U-value of homes. Note that that is not a physical quantity, as the U-value of individual homes is not additive. Present In 2 Views: Used By
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HeatPumpModel_v31 | #324 A |
Total U Value Across All Groupings (House * kBTU / (sf * F * Year)) = SUM( Total U Value by Cohort[ Cohort!]) Description: Total U value across all groupings of households. Present In 1 View: Used By
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HeatPumpModel_v31 | #325 A |
Total U Value by Cohort (House * kBTU / (sf * F * Year)) Total U Value by Cohort[Cohort] = SUM( Total U Value[ Cohort, Heating and Cooling System!, Retrofitting Status!]) Description: Total U Value within each cohort. Present In 1 View: Used By
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HeatPumpModel_v31 | #326 A |
Total U Value by Heating and Cooling System (House * kBTU / (sf * F * Year)) Total U Value by Heating and Cooling System[Heating and Cooling System] = SUM( Total U Value[ Cohort!, Heating and Cooling System, Retrofitting Status!]) Description: The total U value by heating and cooling system Present In 1 View: Used By
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HeatPumpModel_v31 | #328 A |
U Value at Which EEHIC Cap Binds (kBTU / (F * sf * Year)) U Value at Which EEHIC Cap Binds[Cohort,Heating and Cooling System] = IF THEN ELSE( U Value of Retrofitting Homes[ Cohort, Heating and Cooling System]>1e-06:AND: Expected EEHIC Proportional Subsidy Rate for Retrofits>1e-06, Reference U Value*(( Sensitivity of Marginal Cost to U Value-1)*((( Expected EEHIC Maximum Subsidy for Retrofits- Expected EEHIC Proportional Subsidy Rate for Retrofits* Expected Fixed Cost)/( U Value of Retrofitting Homes[ Cohort, Heating and Cooling System]* Expected EEHIC Proportional Subsidy Rate for Retrofits* Expected Reference Marginal Cost* Average Area[ Cohort,Open to Retrofitting]))-(1/(- Sensitivity of Marginal Cost to U Value+1))*(( U Value of Retrofitting Homes[ Cohort, Heating and Cooling System]/ Reference U Value)^(- Sensitivity of Marginal Cost to U Value+1)))^(1/(- Sensitivity of Marginal Cost to U Value+1))),0) Description: This the U value at which the maximum subsidy from the Energy Efficiency Home Improvement Credit (from the IRA_ will occur. Because the EEHIC pays for 30% of a retrofit's costs up to $1200, once a home will retrofit beyond this point, IT will no longer receive an additional subsidy. Thus, this is the U value at which a discontinuity in the marginal cost curve will occur-- before it, a 30% subsidy on the marginal cost will cocur, and then afterwards were will be no proportional subsidy.Formulation is derived by setting 30% of the retrofit cost from current U value to this U value equal to the maximum subsidy, and then solving for this U value. The retrofit cost from the current U to this U is equal to the definite integral from the current U to this U of the marginal cost, which is equal to Reference MC * (Reference U / U) ^sensitivity Present In 1 View: Used By
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HeatPumpModel_v31 | #329 A |
U Value by Grouping (kBTU / (sf * F * Year)) U Value by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = IF THEN ELSE( Housing[ Cohort, Heating and Cooling System, Retrofitting Status]>1e-12, Total U Value[ Cohort, Heating and Cooling System, Retrofitting Status]/ Housing[ Cohort, Heating and Cooling System, Retrofitting Status],0) Description: The average U value in each home by cohort, heating/cooling system, etc. Present In 8 Views:
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HeatPumpModel_v31 | #330 A |
U Value Increase from Source Switching (kBTU*House/(Year*Year*sf*F)) U Value Increase from Source Switching[Heating and Cooling System] = SUM( U Value Shift from Source Switching[ Cohort!, Heating and Cooling System!, Heating and Cooling System, Retrofitting Status!]) Description: The increase in total U value for each Heating and Cooling System from houses switching their heating and cooling systems. Present In 1 View: Used By
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HeatPumpModel_v31 | #331 F,A |
U Value Loss from Demolition (House * kBTU / (Year * F * sf) / Year) U Value Loss from Demolition[Cohort,Heating and Cooling System,Retrofitting Status] = U Value by Grouping[ Cohort, Heating and Cooling System, Retrofitting Status]* Demolitions[ Cohort, Heating and Cooling System, Retrofitting Status] Description: Homes' total energy use decrease from those homes being demolished. Present In 1 View: Used By
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.housingagingchain v18 | #332 A |
U Value of Housing Starts (kBTU / (Year * F * sf)) U Value of Housing Starts[Cohort,Heating and Cooling System] = IF THEN ELSE( Additional Cost of Building to U Value[ Cohort, Heating and Cooling System]<0:AND: Optimal U for New Homes[ Cohort, Heating and Cooling System]< Code U, Optimal U for New Homes[ Cohort, Heating and Cooling System], Code U) Description: Equal to optimal U Value if it is lower than code U value and it is cheaper to build to lower U value. Otherwise, developers just build to code. Present In 2 Views: Used By
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HeatPumpModel_v31 | #333 A |
U Value of Retrofitting Homes (kBTU / (sf * Year * F)) U Value of Retrofitting Homes[Cohort,Heating and Cooling System] = U Value by Grouping[ Cohort, Heating and Cooling System,Open to Retrofitting] Description: The Average U Value of each home that is open to retrofitting. Present In 1 View: Used By
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HeatPumpModel_v31 | #334 L |
U Value Retrofitted Away (House * kBTU / (Year * F * sf)) = ∫SUM( Retrofitting[ Cohort!, Heating and Cooling System!]) dt + 0.0 Description: Total amount of U value that has been retrofitted away. Present In 1 View: Used By |
HeatPumpModel_v31 | #335 F,A |
U Value Shift from Source Switching (House * kBTU / (Year * F * sf) / Year) U Value Shift from Source Switching[Cohort,Heat Pump Heating and Cooling,Heating and Cooling System,Retrofitting Status] = Houses Switching Sources[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]* U Value by Grouping[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status] U Value Shift from Source Switching[Cohort,Fossil Fuel Heating,Heating and Cooling System,Retrofitting Status] = Houses Switching Sources[ Cohort, Fossil Fuel Heating, Retrofitting Status, Heating and Cooling System]* U Value by Grouping[ Cohort, Fossil Fuel Heating, Retrofitting Status] Description: The shift in total U value coming from switching sources. Present In 2 Views: Used By
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HeatPumpModel_v31 | #336 A,T |
Unsubsidized Cost of Heat Pump Over Time TABLE (Dollar/ House) Unsubsidized Cost of Heat Pump Over Time TABLE([(2020,5000)-(2050,10000)],(2020,22000),(2030,20483.7 ),(2040,18967.3),(2050,17448.6)) ![]() Description: The cost of installing and buying a heat pump over time. Initial value taken from: https://www.masssave.com/en/residential/rebates-and-incentives/heating-and-cooling/heat-pumps/air-source-heat-pumps, and then assume that ratio of future prices to initial is the same as average of reference and ductless heat pumps in MassDEP's Energy Pathways Report (pg. 97): https://www.mass.gov/doc/energy-pathways-for-deep-decarbonization-report/download. (That is, I took the ratio of the initial price to the initial price in that report, then I multiplied that ratio times all projections of future heat pump prices). I was unable to use the MassDEP report's prices directly, because they are based on national estimates from NREL, and MA is typically a more expensive state. In particular, the MassDEP projections say that heat pumps cost only $9K, but MassSave subsidy is $10K!Assumes rates of change are linear between projected points. Present In 1 View: Used By
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HeatPumpModel_v31 | #337 A |
Unsubsidized Cost of Heat Pumps (Dollar / House) = Unsubsidized Cost of Heat Pump Over Time TABLE( Time) Description: The unsubsidized cost of heat pumps, instantiated at each time. Present In 3 Views: Used By
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.housingagingchain v8 | #339 A |
Unsubsidized Retrofit Cost (Dollar / House) Unsubsidized Retrofit Cost[Cohort,Heating and Cooling System] = Unsubsidized Retrofit Cost Intensity[ Cohort, Heating and Cooling System]* Average Area[ Cohort,Open to Retrofitting] Description: Total retrofit cost without taking into account subsidies. Present In 4 Views:
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.housingagingchain v5 testing | #338 A |
Unsubsidized Retrofit Cost Intensity (Dollar / sf) Unsubsidized Retrofit Cost Intensity[Cohort,Heating and Cooling System] = MAX(IF THEN ELSE( U Value of Retrofitting Homes[ Cohort, Heating and Cooling System]>1e-06,( Expected Reference Marginal Cost* Reference U Value/(- Sensitivity of Marginal Cost to U Value+1))*((( Reference U Value/ U Value of Retrofitting Homes[ Cohort, Heating and Cooling System])^ Sensitivity of Marginal Cost to U Value-1)-(( Reference U Value/ Optimal U Value for Existing Homes[ Cohort, Heating and Cooling System])^( Sensitivity of Marginal Cost to U Value-1)))+ Fixed Cost per Unit Area[ Cohort],0),0) Description: Total cost of retrofit per square foot when the marginally optimal amount of U value is retrofitted away.Calculated as definite integral of marginal cost of retrofitting, which, at a given U, is Reference MC * (Ref. U / U Value) ^ Sensitivity. The total retrofit function is then found by taking the finite integral of the marginal cost function from the indicated optimal U value to the original U value and adding the fixed cost. This cost can be theoretically negative, but if so no retrofitting will take place as the retrofitting outflow is nonnegative.The "if" statement ensures there are no retrofit costs when there are no houses in a cohort. U value must be greater than 1e-6 as this is the threshold for ZIDZ used in calculating average U. Present In 4 Views:
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HeatPumpModel_v31 | #340 C |
Weight on Upfront Cost (dmnl ) = 0.5 Description: How much homeowners weigh upfront (amoritized) costs of retrofits as opposed to the total cost of ownership due to being more perceptive of short-term costs. Present In 2 Views: Used By
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.housingagingchain v8 | #343 A |
White Noise (Dimensionless) = Noise Standard Deviation*((24* Noise Correlation Time/ TIME STEP)^0.5*(RANDOM 0 1()-0.5)) Description: White noise input to the pink noise process. Present In 1 View: Used By
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.housingagingchain v8 | #341 A |
White Noise 0 (Dimensionless) = Noise Standard Deviation 0*((24* Noise Correlation Time 0/ TIME STEP)^0.5*(RANDOM 0 1()-0.5)) Description: White noise input to the pink noise process. Present In 1 View: Used By
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HeatPumpModel_v31 | #342 A |
White Noise 1 (Dimensionless) = Noise Standard Deviation 1*((24* Noise Correlation Time 1/ TIME STEP)^0.5*(RANDOM 0 1()-0.5)) Description: White noise input to the pink noise process. Present In 1 View: Used By
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.Control | #126 C |
FINAL TIME (Year) = 2050 Description: The final time for the simulation. Present In 1 View: Used By
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.Control | #196 C |
INITIAL TIME (Year) = 2020 Description: The initial time for the simulation. Present In 3 Views: Used By
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.Control | #289 A |
SAVEPER (Year ) = TIME STEP Description: The frequency with which output is stored. Present In 0 Views: |
.Control | #306 C |
TIME STEP (Year ) = 0.03125 Description: The time step for the simulation. Present In 1 View: Used By
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(View) Not in View (2 Variables) |
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Variable Name And Description | .housingagingchain v8 | #225 C |
Maximum Energy Price (Dollar / kBTU) = 10 Description: Shifts x-axis for graph of optimal retrofit amount as a function of energy price. Present In 0 Views: |
.Control | #289 A |
SAVEPER (Year ) = TIME STEP Description: The frequency with which output is stored. Present In 0 Views: |
(View) Age (14 Variables) |
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Variable Name And Description | .housingagingchain v8 | #8 F,A |
Age Removal (House * Year /Year) Age Removal[Cohort,Retrofitting Status] = SUM( Demolitions[ Cohort, Heating and Cooling System!, Retrofitting Status])* Average Age[ Cohort, Retrofitting Status] Description: Total age lost as houses are destroyed, scrapped, etc. Present In 1 View: Used By
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.housingagingchain v8 | #10 F,A |
Aging (House * Year / Year) Aging[Cohort,Retrofitting Status] = Aging per Year*SUM( Housing[ Cohort, Heating and Cooling System!, Retrofitting Status]) Description: Amount of years added to the housing stocks' total age per year. Because houses age 1 year per year, this is simply 1 multplied by the number of houses per cohort. Present In 1 View: Used By
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.housingagingchain v8 | #9 C |
Aging per Year (Year / Year) = 1 Description: Number of years a house ages per year (which must be one), used to ensure dimensional consistency and make the model clearer Present In 1 View: Used By
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.housingagingchain v8 | #26 A |
Average Age (Year) Average Age[Cohort,Retrofitting Status] = ZIDZ( Total Age[ Cohort, Retrofitting Status], Housing by Cohort and Retrofitting Status[ Cohort, Retrofitting Status]) Description: The age per house in each cohort and energy source. Assumes that age is constant across heating and cooling systems within each cohort and retrofitting status. Present In 1 View: Used By
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.housingagingchain v8 | #66 C |
Cohort Duration (Year ) = 10 Description: The width (duration) of each cohort. Present In 2 Views: Used By
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HeatPumpModel_v31 | #89 F,A |
Demolitions (House / Year) Demolitions[Cohort,Heating and Cooling System,Retrofitting Status] = Demolition Hazard Rate* Housing[ Cohort, Heating and Cooling System, Retrofitting Status]*(1- No Turnover Switch) Description: Homes that are destroyed every year. Present In 3 Views: Used By
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HeatPumpModel_v31 | #160 F,A |
Houses Switching Sources (House / Year) Houses Switching Sources[Cohort,Heat Pump Heating and Cooling,Retrofitting Status,Heating and Cooling System] = Fraction of Houses Switching[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]* Houses Considering Switching System[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status]* System Switching SWITCH Houses Switching Sources[Cohort,Fossil Fuel Heating,Retrofitting Status,Heating and Cooling System] = Fraction of Houses Switching[ Cohort, Fossil Fuel Heating, Retrofitting Status, Heating and Cooling System]* Houses Considering Switching System[ Cohort, Fossil Fuel Heating, Retrofitting Status]* System Switching SWITCH Description: The number of houses switching Heating and Cooling Systems. The first heating and cooling system subscript is the system combination they're leaving, and the h & c system subscript is the combination they're entering. Present In 3 Views: Used By
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HeatPumpModel_v31 | #174 L |
Housing (House) Housing[Cohort,Heating and Cooling System,Not Open to Retrofitting] = ∫((( Housing Starts[ Cohort, Heating and Cooling System]- Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System])- Demolitions[ Cohort, Heating and Cooling System,Not Open to Retrofitting])+(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System!,Not Open to Retrofitting, Heating and Cooling System])))-(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System,Not Open to Retrofitting, Heating and Cooling System!])) dt + Initial Homes Not Retrofitting[ Cohort, Heating and Cooling System] Housing[Cohort,Heating and Cooling System,Open to Retrofitting] = ∫(( Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System]- Demolitions[ Cohort, Heating and Cooling System,Open to Retrofitting])+(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System!,Open to Retrofitting, Heating and Cooling System])))-(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System,Open to Retrofitting, Heating and Cooling System!])) dt + Initial Homes Retrofitting[ Cohort, Heating and Cooling System] Description: Houses, divided into those open to retrofitting (i.e., they will retrofit if their U is not equal to optimal) and those who are not. Present In 7 Views:
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HeatPumpModel_v31 | #162 A |
Housing by Cohort and Retrofitting Status (House) Housing by Cohort and Retrofitting Status[Cohort,Retrofitting Status] = SUM( Housing[ Cohort, Heating and Cooling System!, Retrofitting Status]) Description: Amount of housing by retrofit status and cohort. Present In 3 Views: Used By
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.housingagingchain v8 | #184 LI,A |
Initial Age (House * Year) Initial Age[Cohort,Retrofitting Status] = INITIAL(0) Initial Age[Preexisting Cohorts,Retrofitting Status] = ( Cohort Duration*(ELMCOUNT( Preexisting Cohorts)- Preexisting Cohorts+1))* Housing by Cohort and Retrofitting Status[ Preexisting Cohorts, Retrofitting Status] Description: The initial age of each cohort. For cohorts built during the model's run, this is zero. For each pre-existing cohort, this is the length of each cohort multiplied by how many cohorts separate the pre-existing cohort from the beginning of the model. For example, if there are two pre-existing cohorts each with length 5, the first cohort at the beginning of the run is already ten years old on average. Present In 1 View: Used By
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HeatPumpModel_v31 | #229 A |
Net Age Shift by System (Year * House / Year) Net Age Shift by System[Cohort,Heating and Cooling System] = IF THEN ELSE( Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System]>0, Average Age[ Cohort,Not Open to Retrofitting]* Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System], Average Age[ Cohort,Open to Retrofitting]* Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System]) Description: The shift in age from switching retrofit system, by cohort and by heating and cooling system. Present In 1 View: Used By
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HeatPumpModel_v31 | #230 F,A |
Net Age Shift from Retrofitting Status Shifting (House * Year / Year) Net Age Shift from Retrofitting Status Shifting[Cohort] = SUM( Net Age Shift by System[ Cohort, Heating and Cooling System!]) Description: Shift in age within each cohort due to houses becoming open or closed to retrofitting. Present In 1 View: Used By
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HeatPumpModel_v31 | #233 F,A |
Net Change in Homes Retrofitting (Houses / Year) Net Change in Homes Retrofitting[Cohort,Heating and Cooling System] = ( Indicated Homes Retrofitting[ Cohort, Heating and Cooling System]- Housing[ Cohort, Heating and Cooling System,Open to Retrofitting])/ Time to Decide to Retrofit Description: Homes that are in the process of deciding to retrofit. Present In 3 Views: Used By
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.housingagingchain v8 | #309 L |
Total Age (House * Year) Total Age[Cohort,Not Open to Retrofitting] = ∫( Aging[ Cohort,Not Open to Retrofitting]- Net Age Shift from Retrofitting Status Shifting[ Cohort])- Age Removal[ Cohort,Not Open to Retrofitting] dt + Initial Age[ Cohort,Not Open to Retrofitting] Total Age[Cohort,Open to Retrofitting] = ∫( Net Age Shift from Retrofitting Status Shifting[ Cohort]+ Aging[ Cohort,Open to Retrofitting])- Age Removal[ Cohort,Open to Retrofitting] dt + Initial Age[ Cohort,Open to Retrofitting] Description: "Total" age for each cohort of housing. Present In 2 Views: Used By
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(View) Area (18 Variables) |
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Variable Name And Description | .housingagingchain v8 | #21 L |
Area (sf) Area[Cohort,Not Open to Retrofitting] = ∫( Area of New Homes[ Cohort]- Net Area Shift due to Retrofit Status Switching[ Cohort])- Area Removal[ Cohort,Not Open to Retrofitting] dt + Initial Area[ Cohort]*(1.0- Fraction Retrofitting by Cohort[ Cohort]) Area[Preexisting Cohorts,Not Open to Retrofitting] = ∫(- Net Area Shift due to Retrofit Status Switching[ Preexisting Cohorts])- Area Removal[ Preexisting Cohorts,Not Open to Retrofitting] dt + Initial Area[ Preexisting Cohorts]*(1.0- Fraction Retrofitting by Cohort[ Preexisting Cohorts]) Area[Cohort,Open to Retrofitting] = ∫ Net Area Shift due to Retrofit Status Switching[ Cohort]- Area Removal[ Cohort,Open to Retrofitting] dt + Initial Area[ Cohort]* Fraction Retrofitting by Cohort[ Cohort] Area[Preexisting Cohorts,Open to Retrofitting] = ∫ Net Area Shift due to Retrofit Status Switching[ Preexisting Cohorts]- Area Removal[ Preexisting Cohorts,Open to Retrofitting] dt + Initial Area[ Preexisting Cohorts]* Fraction Retrofitting by Cohort[ Preexisting Cohorts] Description: "Total" Area for each cohort of housing . This is determined by the inflows and outflows into and out of each cohort, multiplied by the average energy use intensity in each cohort. Present In 2 Views: Used By
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.housingagingchain v8 | #19 F,A |
Area of New Homes (sf / Year) Area of New Homes[Cohort] = Average Area of Housing Starts*SUM( Housing Starts[ Cohort, Heating and Cooling System!]) Description: The total Area added by the construction of new homes, by cohort. Present In 1 View: Used By
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.housingagingchain v8 | #20 F,A |
Area Removal (sf /Year) Area Removal[Cohort,Retrofitting Status] = Average Area[ Cohort, Retrofitting Status]*SUM( Demolitions[ Cohort, Heating and Cooling System!, Retrofitting Status]) Description: Total area lost as houses are destroyed, scrapped, etc. Present In 1 View: Used By
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.housingagingchain v8 | #25 A |
Average Age in All Housing (Year) = ZIDZ(SUM( Total Age[ Cohort!, Retrofitting Status!]), Total Housing Stock) Description: Average age of houses, regardless of cohort Present In 2 Views: Used By |
HeatPumpModel_v31 | #29 A |
Average Area (sf / House) Average Area[Cohort,Retrofitting Status] = ZIDZ( Area[ Cohort, Retrofitting Status], Housing by Cohort and Retrofitting Status[ Cohort, Retrofitting Status]) Description: Average area by cohort and retrofitting status (assume it's the same across heating and cooling systems). Present In 7 Views:
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.housingagingchain v8 | #27 A |
Average Area in All Housing (sf/ House) = ZIDZ( Total Area, Total Housing Stock) Description: The average are of all houses, regardless of what group they're in. Present In 2 Views: Used By
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HeatPumpModel_v31 | #28 A |
Average Area of Housing Starts (sf / House) = Increase in Area per Year*( Time- INITIAL TIME)+ Initial Average Area of Housing Starts Description: The average area of housing starts. Present In 2 Views: Used By
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HeatPumpModel_v31 | #89 F,A |
Demolitions (House / Year) Demolitions[Cohort,Heating and Cooling System,Retrofitting Status] = Demolition Hazard Rate* Housing[ Cohort, Heating and Cooling System, Retrofitting Status]*(1- No Turnover Switch) Description: Homes that are destroyed every year. Present In 3 Views: Used By
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HeatPumpModel_v31 | #132 LI,A |
Fraction Retrofitting by Cohort (dmnl) Fraction Retrofitting by Cohort[Cohort] = ZIDZ(SUM( Housing[ Cohort, Heating and Cooling System!,Open to Retrofitting]),SUM( Housing[ Cohort, Heating and Cooling System!, Retrofitting Status!])) Description: Fraction that are retrofitting, only by cohort. Present In 2 Views: Used By
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HeatPumpModel_v31 | #162 A |
Housing by Cohort and Retrofitting Status (House) Housing by Cohort and Retrofitting Status[Cohort,Retrofitting Status] = SUM( Housing[ Cohort, Heating and Cooling System!, Retrofitting Status]) Description: Amount of housing by retrofit status and cohort. Present In 3 Views: Used By
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HeatPumpModel_v31 | #173 F,A |
Housing Starts (Houses / Year) Housing Starts[Cohort,Heating and Cooling System] = Housing Fractional Growth Rate*SUM( Housing[ Cohort!, Heating and Cooling System, Retrofitting Status!])* Active Cohort Indicator[ Cohort]*(1- No Turnover Switch) Description: Homes being built. Assumed to be equal to the total number of homes times a constant fractional growth rate and only homes that are not open to retrofits will be built. Present In 3 Views: Used By
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HeatPumpModel_v31 | #180 C |
Increase in Area per Year (sf / Year / House ) = 10.76 Description: The exogenous increase in area per year, found by regressing area on year house was built in RECS 2020 data for MA SFG. Present In 1 View: Used By
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HeatPumpModel_v31 | #185 LI,C |
Initial Area (sf) Initial Area[Cohort] = 10 Description: Total initial area across all houses, by cohort (assuming that average area is the same across systems). Present In 1 View: Used By
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HeatPumpModel_v31 | #186 C |
Initial Average Area of Housing Starts (sf / House ) = 2347 Description: Initial average area of housing starts. Taken from average area of MA SFH homes built from 2015 to 2020, from EIA RECS data. Present In 1 View: Used By
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.housingagingchain v8 | #231 A |
Net Area Shift by System (sf / Year) Net Area Shift by System[Cohort,Heating and Cooling System] = IF THEN ELSE( Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System]>0, Average Area[ Cohort,Not Open to Retrofitting]* Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System], Average Area[ Cohort,Open to Retrofitting]* Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System]) Description: The shift in area from switching retrofit status, by heating and cooling system in addition to cohort. Present In 1 View: Used By
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HeatPumpModel_v31 | #232 F,A |
Net Area Shift due to Retrofit Status Switching (sf / Year) Net Area Shift due to Retrofit Status Switching[Cohort] = SUM( Net Area Shift by System[ Cohort, Heating and Cooling System!]) Description: Shift in area between energy sources due to houses switching sources. Present In 1 View: Used By
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HeatPumpModel_v31 | #233 F,A |
Net Change in Homes Retrofitting (Houses / Year) Net Change in Homes Retrofitting[Cohort,Heating and Cooling System] = ( Indicated Homes Retrofitting[ Cohort, Heating and Cooling System]- Housing[ Cohort, Heating and Cooling System,Open to Retrofitting])/ Time to Decide to Retrofit Description: Homes that are in the process of deciding to retrofit. Present In 3 Views: Used By
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.Control | #196 C |
INITIAL TIME (Year) = 2020 Description: The initial time for the simulation. Present In 3 Views: Used By
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(View) Average Attributes (64 Variables) |
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Variable Name And Description | .housingagingchain v4 testing | #7 A |
Affinity of Retrofitting (dmnl) Affinity of Retrofitting[Cohort,Heating and Cooling System] = exp(- Sensitivity of Retrofits to Cost* Perceived Cost of Retrofitting[ Cohort, Heating and Cooling System]/ Reference Retrofit Cost) Description: Affinity of retrofitting, where utility value is equal to its NPV. Present In 2 Views: Used By
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.housingagingchain v8 | #21 L |
Area (sf) Area[Cohort,Not Open to Retrofitting] = ∫( Area of New Homes[ Cohort]- Net Area Shift due to Retrofit Status Switching[ Cohort])- Area Removal[ Cohort,Not Open to Retrofitting] dt + Initial Area[ Cohort]*(1.0- Fraction Retrofitting by Cohort[ Cohort]) Area[Preexisting Cohorts,Not Open to Retrofitting] = ∫(- Net Area Shift due to Retrofit Status Switching[ Preexisting Cohorts])- Area Removal[ Preexisting Cohorts,Not Open to Retrofitting] dt + Initial Area[ Preexisting Cohorts]*(1.0- Fraction Retrofitting by Cohort[ Preexisting Cohorts]) Area[Cohort,Open to Retrofitting] = ∫ Net Area Shift due to Retrofit Status Switching[ Cohort]- Area Removal[ Cohort,Open to Retrofitting] dt + Initial Area[ Cohort]* Fraction Retrofitting by Cohort[ Cohort] Area[Preexisting Cohorts,Open to Retrofitting] = ∫ Net Area Shift due to Retrofit Status Switching[ Preexisting Cohorts]- Area Removal[ Preexisting Cohorts,Open to Retrofitting] dt + Initial Area[ Preexisting Cohorts]* Fraction Retrofitting by Cohort[ Preexisting Cohorts] Description: "Total" Area for each cohort of housing . This is determined by the inflows and outflows into and out of each cohort, multiplied by the average energy use intensity in each cohort. Present In 2 Views: Used By
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.housingagingchain v8 | #25 A |
Average Age in All Housing (Year) = ZIDZ(SUM( Total Age[ Cohort!, Retrofitting Status!]), Total Housing Stock) Description: Average age of houses, regardless of cohort Present In 2 Views: Used By |
HeatPumpModel_v31 | #29 A |
Average Area (sf / House) Average Area[Cohort,Retrofitting Status] = ZIDZ( Area[ Cohort, Retrofitting Status], Housing by Cohort and Retrofitting Status[ Cohort, Retrofitting Status]) Description: Average area by cohort and retrofitting status (assume it's the same across heating and cooling systems). Present In 7 Views:
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.housingagingchain v8 | #27 A |
Average Area in All Housing (sf/ House) = ZIDZ( Total Area, Total Housing Stock) Description: The average are of all houses, regardless of what group they're in. Present In 2 Views: Used By
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HeatPumpModel_v31 | #31 A |
Average Cooling Cost (Dollar / (Year * House)) Average Cooling Cost[Cohort,Heating and Cooling System,Retrofitting Status] = Expected Cooling Energy Price* Average Cooling Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status] Description: The average costs for keeping a home cool, by grouping. Present In 2 Views: Used By
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HeatPumpModel_v31 | #30 A |
Average Cooling Cost Across All Homes (Dollar / House/ Year) = Total Cooling Cost/SUM( Housing[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: The average cost to cool a home, for all cohorts and systems. Present In 1 View: Used By |
HeatPumpModel_v31 | #33 C |
Average Cooling Energy Use (kBTU / (Year * House)) Average Cooling Energy Use[Cohort,Heating and Cooling System,Retrofitting Status] = U Value by Grouping[ Cohort, Heating and Cooling System, Retrofitting Status]* Average Area[ Cohort, Retrofitting Status]* Cooling Degree Days/ Cooling System Efficiency[ Heating and Cooling System] Average Cooling Energy Use[Cohort,No AC Cooling,Retrofitting Status] = 0 Description: The average energy use for cooling. Calculated by setting efficiency times a house's cooling energy use equal to total cooling temperature differential (CDD), multiplied by U (or divided by R), and solving for energy use. Present In 3 Views: Used By
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HeatPumpModel_v31 | #32 A |
Average Cooling Energy Use Across All Homes (kBTU / Year / House) = ZIDZ( Total Cooling Energy Use, Total Housing Stock) Description: The amount of energy an average home spends on cooling, regardless of cohort, retrofit status, etc. Present In 1 View: Used By |
HeatPumpModel_v31 | #39 A |
Average Emissions (tCO2 / House / Year) = ZIDZ( Emissions, Total Housing Stock) Description: The average CO2 emissions for a household, not disaggregated into any grouping. Present In 1 View: Used By |
HeatPumpModel_v31 | #35 A |
Average Emissions by Grouping (tCO2 / (Year * House)) Average Emissions by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = Average Emissions from Cooling by Grouping[ Cohort, Heating and Cooling System, Retrofitting Status]+ Average Emissions from Heating by Grouping[ Cohort, Heating and Cooling System, Retrofitting Status] Description: The total average emissions from heating and cooling, by cohort, retrofitting status, and Heating and Cooling System. Present In 2 Views: Used By
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HeatPumpModel_v31 | #36 A |
Average Emissions by Heating and Cooling System (tCO2 / Year / House) Average Emissions by Heating and Cooling System[Heating and Cooling System] = ZIDZ( Emissions by Heating and Cooling System[ Heating and Cooling System], Housing by Heating and Cooling System[ Heating and Cooling System]) Description: The average CO2 emissions for each house, by heating and cooling system. Present In 2 Views: Used By |
HeatPumpModel_v31 | #45 A |
Average Energy Use (kBTU / (Year * House)) Average Energy Use[Cohort,Heating and Cooling System,Retrofitting Status] = Average Heating Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status]+ Average Cooling Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status] Description: Average energy use to both heat and cool a home. Present In 2 Views: Used By
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HeatPumpModel_v31 | #43 A |
Average Energy Use by Heating and Cooling System (kBTU / (House * Year)) Average Energy Use by Heating and Cooling System[Heating and Cooling System] = ZIDZ(SUM( Energy Use by Grouping[ Cohort!, Heating and Cooling System, Retrofitting Status!]),SUM( Housing[ Cohort!, Heating and Cooling System, Retrofitting Status!])) Description: The average energy use for each home by heating and cooling system. Present In 1 View: Used By |
HeatPumpModel_v31 | #44 A |
Average Energy Use in All Housing (kBTU / Year / House) = Total Energy Use/ Total Housing Stock Description: The average energy use across all stocks. Present In 1 View: Used By
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HeatPumpModel_v31 | #46 A |
Average EUI by Grouping (kBTU / (sf * Year)) Average EUI by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = XIDZ( Average Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status], Average Area[ Cohort, Retrofitting Status], NAREPLACEMENT) Description: The average energy use intensity by grouping Present In 1 View: Used By |
HeatPumpModel_v31 | #47 A |
Average EUI in All Housing (kBTU / (sf * Year)) = Average Energy Use in All Housing/ Average Area in All Housing Description: The average energy use intensity across all housing. Present In 1 View: Used By |
.housingagingchain v5 testing | #49 A |
Average Heating Cost (Dollar / (Year * House)) Average Heating Cost[Cohort,Heating and Cooling System,Retrofitting Status] = Expected Heating Energy Price[ Heating and Cooling System]* Average Heating Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status] Description: The costs per year to heat one house. Present In 2 Views: Used By
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HeatPumpModel_v31 | #48 A |
Average Heating Cost Across All Homes (Dollar / Year / House) = ZIDZ( Total Heating Cost,SUM( Housing[ Cohort!, Heating and Cooling System!, Retrofitting Status!])) Description: The average amount a home spends on heating, regardless of cohort or heating and cooling system. Present In 1 View: Used By |
HeatPumpModel_v31 | #51 A |
Average Heating Energy Use (kBTU / (Year * House)) Average Heating Energy Use[Cohort,Heating and Cooling System,Retrofitting Status] = U Value by Grouping[ Cohort, Heating and Cooling System, Retrofitting Status]* Average Area[ Cohort, Retrofitting Status]* Heating Degree Days/ Heating System Efficiency[ Heating and Cooling System] Description: The average energy use for heating annually. Calculated by setting efficiency times energy use equal to total HDD, multiplied by U (or divided by R) and divided by year (to get annual use), and solving for energy use. Present In 3 Views: Used By
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HeatPumpModel_v31 | #50 A |
Average Heating Energy Use Across All Homes (kBTU / (Year * House)) = ZIDZ( Total Heating Energy Use, Total Housing Stock) Description: The average heating energy use per home, regardless of cohort, system,etc. Present In 1 View: Used By |
HeatPumpModel_v31 | #53 A |
Average Indicated Fraction of Homes Retrofitting (dmnl) = SUM( Indicated Homes Retrofitting[ Cohort!, Heating and Cooling System!])/ Total Housing Stock Description: The average fraction of homes that will retrofit retrofitting after decision delayacross all housing. Present In 2 Views: Used By |
HeatPumpModel_v31 | #58 A |
Average U Value by Heating and Cooling System (kBTU / (sf * F * Year)) Average U Value by Heating and Cooling System[Heating and Cooling System] = ZIDZ( Total U Value by Heating and Cooling System[ Heating and Cooling System], Housing by Heating and Cooling System[ Heating and Cooling System]) Description: The U value of the average house using each heating and cooling system. Present In 1 View: Used By |
.housingagingchain v4 testing | #59 A |
Average U Value in All Housing (kBTU / (sf * F * Year)) = ZIDZ( Total U Value Across All Groupings, Total Housing Stock) Description: The average U Value over the entire housing stock, not disaggregated by any groupings. Present In 1 View: Used By |
HeatPumpModel_v31 | #60 A |
Average U Value of Houses Switching Into Sources (kBTU / (sf * F * Year)) Average U Value of Houses Switching Into Sources[Heating and Cooling System] = XIDZ( U Value Increase from Source Switching[ Heating and Cooling System], Houses Switching Into Sources[ Heating and Cooling System], NAREPLACEMENT) Description: The average U value of houses switching into each source, for each source. Present In 1 View: Used By |
HeatPumpModel_v31 | #98 F,A |
Emissions (tCO2 / Year) = SUM( Emissions by Grouping[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: The total amount of emissions across all housing groups. Present In 2 Views: Used By
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HeatPumpModel_v31 | #96 A |
Emissions by Grouping (tCO2 / Year) Emissions by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = Housing[ Cohort, Heating and Cooling System, Retrofitting Status]* Average Emissions by Grouping[ Cohort, Heating and Cooling System, Retrofitting Status] Description: The total emissions for the most disaggregated grouping in the model. Present In 2 Views: Used By
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HeatPumpModel_v31 | #97 A |
Emissions by Heating and Cooling System (tCO2 / Year) Emissions by Heating and Cooling System[Heating and Cooling System] = SUM( Emissions by Grouping[ Cohort!, Heating and Cooling System, Retrofitting Status!]) Description: The total amount of emissions for houses by Heating and Cooling System. Present In 1 View: Used By
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HeatPumpModel_v31 | #107 A |
Energy Use by Gas Houses (kBTU/ Year) = SUM( Energy Use by Grouping[ Cohort!,Gas and Central AC, Retrofitting Status!])+SUM( Energy Use by Grouping[ Cohort!,Gas and Window AC, Retrofitting Status!])+SUM( Energy Use by Grouping[ Cohort!,Gas and No AC, Retrofitting Status!]) Description: The total amount of energy for heating and cooling used by homes which primarily use gas to heat their homes. Present In 1 View: Used By |
HeatPumpModel_v31 | #108 A |
Energy Use by Grouping (kBTU / Year) Energy Use by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = Average Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status]* Housing[ Cohort, Heating and Cooling System, Retrofitting Status] Description: The total amount of energy used for heating and cooling in each group. Present In 2 Views: Used By
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HeatPumpModel_v31 | #109 A |
Energy Use by Heat Pump Houses (kBTU / Year) = SUM( Energy Use by Grouping[ Cohort!,Heat Pump Only, Retrofitting Status!])+SUM( Energy Use by Grouping[ Cohort!,Heat Pump and Gas, Retrofitting Status!])+SUM( Energy Use by Grouping[ Cohort!,Heat Pump and Oil, Retrofitting Status!]) Description: The amount of energy used for heating and cooling by homes which primarily use heat pumps to heat their home. Present In 1 View: Used By |
HeatPumpModel_v31 | #110 A |
Energy Use by Oil Houses (kBTU / Year) = SUM( Energy Use by Grouping[ Cohort!,Oil and Central AC, Retrofitting Status!])+SUM( Energy Use by Grouping[ Cohort!,Oil and Window AC, Retrofitting Status!])+SUM( Energy Use by Grouping[ Cohort!,Oil and No AC, Retrofitting Status!]) Description: The total amount of energy for heating and cooling used by homes primarily using oil to heat their home. Present In 1 View: Used By |
HeatPumpModel_v31 | #129 A |
Fraction of Houses in Each Heating and Cooling System (dmnl) Fraction of Houses in Each Heating and Cooling System[Heating and Cooling System] = XIDZ( Housing by Heating and Cooling System[ Heating and Cooling System], Total Housing Stock, NAREPLACEMENT) Description: The fraction of houses using each heating and cooling system Present In 1 View: Used By |
HeatPumpModel_v31 | #131 A |
Fraction of Housing by Heating and Cooling System (dmnl) Fraction of Housing by Heating and Cooling System[Heating and Cooling System] = Housing by Heating and Cooling System[ Heating and Cooling System]/ Total Housing Stock Description: The fraction of the total housing stock using each heating and cooling system. Present In 1 View: Used By |
HeatPumpModel_v31 | #134 A |
Fraction Retrofitting (dmnl) = Housing by Retrofitting Status[Open to Retrofitting]/( Housing by Retrofitting Status[Not Open to Retrofitting]+ Housing by Retrofitting Status[Open to Retrofitting]) Description: Proportion of housing that is open to retrofitting, across all cohorts and systems. Present In 1 View: Used By |
HeatPumpModel_v31 | #132 LI,A |
Fraction Retrofitting by Cohort (dmnl) Fraction Retrofitting by Cohort[Cohort] = ZIDZ(SUM( Housing[ Cohort, Heating and Cooling System!,Open to Retrofitting]),SUM( Housing[ Cohort, Heating and Cooling System!, Retrofitting Status!])) Description: Fraction that are retrofitting, only by cohort. Present In 2 Views: Used By
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HeatPumpModel_v31 | #133 A |
Fraction Retrofitting by System and Cohort (dmnl) Fraction Retrofitting by System and Cohort[Cohort,Heating and Cooling System] = ZIDZ( Housing[ Cohort, Heating and Cooling System,Open to Retrofitting],SUM( Housing[ Cohort, Heating and Cooling System, Retrofitting Status!])) Description: The fraction of houses that are retrofitting, by heating/cooling system and cohort. Present In 1 View: Used By |
HeatPumpModel_v31 | #159 A |
Houses Switching Into Sources (Houses / Year) Houses Switching Into Sources[Heating and Cooling System] = SUM( Houses Switching Sources[ Cohort!, Heating and Cooling System!, Retrofitting Status!, Heating and Cooling System]) Description: The number of houses switching into each Heating and Cooling System, cohort, and retrofitting group due to system switching. Present In 1 View: Used By
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HeatPumpModel_v31 | #160 F,A |
Houses Switching Sources (House / Year) Houses Switching Sources[Cohort,Heat Pump Heating and Cooling,Retrofitting Status,Heating and Cooling System] = Fraction of Houses Switching[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]* Houses Considering Switching System[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status]* System Switching SWITCH Houses Switching Sources[Cohort,Fossil Fuel Heating,Retrofitting Status,Heating and Cooling System] = Fraction of Houses Switching[ Cohort, Fossil Fuel Heating, Retrofitting Status, Heating and Cooling System]* Houses Considering Switching System[ Cohort, Fossil Fuel Heating, Retrofitting Status]* System Switching SWITCH Description: The number of houses switching Heating and Cooling Systems. The first heating and cooling system subscript is the system combination they're leaving, and the h & c system subscript is the combination they're entering. Present In 3 Views: Used By
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HeatPumpModel_v31 | #174 L |
Housing (House) Housing[Cohort,Heating and Cooling System,Not Open to Retrofitting] = ∫((( Housing Starts[ Cohort, Heating and Cooling System]- Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System])- Demolitions[ Cohort, Heating and Cooling System,Not Open to Retrofitting])+(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System!,Not Open to Retrofitting, Heating and Cooling System])))-(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System,Not Open to Retrofitting, Heating and Cooling System!])) dt + Initial Homes Not Retrofitting[ Cohort, Heating and Cooling System] Housing[Cohort,Heating and Cooling System,Open to Retrofitting] = ∫(( Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System]- Demolitions[ Cohort, Heating and Cooling System,Open to Retrofitting])+(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System!,Open to Retrofitting, Heating and Cooling System])))-(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System,Open to Retrofitting, Heating and Cooling System!])) dt + Initial Homes Retrofitting[ Cohort, Heating and Cooling System] Description: Houses, divided into those open to retrofitting (i.e., they will retrofit if their U is not equal to optimal) and those who are not. Present In 7 Views:
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HeatPumpModel_v31 | #163 A |
Housing by Cohort (House) Housing by Cohort[Cohort] = SUM( Housing[ Cohort, Heating and Cooling System!, Retrofitting Status!]) Description: Number of houses per cohort Present In 1 View: Used By |
HeatPumpModel_v31 | #161 A |
Housing by Cohort and Heating and Cooling System (Houses) Housing by Cohort and Heating and Cooling System[Cohort,Heating and Cooling System] = SUM( Housing[ Cohort, Heating and Cooling System, Retrofitting Status!]) Description: Housing by heating and cooling system and cohort, irrespective of retrofit status. Present In 2 Views: Used By
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HeatPumpModel_v31 | #162 A |
Housing by Cohort and Retrofitting Status (House) Housing by Cohort and Retrofitting Status[Cohort,Retrofitting Status] = SUM( Housing[ Cohort, Heating and Cooling System!, Retrofitting Status]) Description: Amount of housing by retrofit status and cohort. Present In 3 Views: Used By
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HeatPumpModel_v31 | #164 A |
Housing by Heating and Cooling System (House) Housing by Heating and Cooling System[Heating and Cooling System] = SUM( Housing[ Cohort!, Heating and Cooling System, Retrofitting Status!]) Description: Number of houses by energy source across all cohorts. Present In 1 View: Used By
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HeatPumpModel_v31 | #165 A |
Housing by Retrofitting Status (House) Housing by Retrofitting Status[Retrofitting Status] = SUM( Housing by Cohort and Retrofitting Status[ Cohort!, Retrofitting Status]) Description: Amount of housing by retrofitting status, across all cohorts and systems. Present In 1 View: Used By
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HeatPumpModel_v31 | #173 F,A |
Housing Starts (Houses / Year) Housing Starts[Cohort,Heating and Cooling System] = Housing Fractional Growth Rate*SUM( Housing[ Cohort!, Heating and Cooling System, Retrofitting Status!])* Active Cohort Indicator[ Cohort]*(1- No Turnover Switch) Description: Homes being built. Assumed to be equal to the total number of homes times a constant fractional growth rate and only homes that are not open to retrofits will be built. Present In 3 Views: Used By
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HeatPumpModel_v31 | #183 A |
Indicated Homes Retrofitting (House) Indicated Homes Retrofitting[Cohort,Heating and Cooling System] = Indicated Fraction of Homes Retrofitting[ Cohort, Heating and Cooling System]* Housing by Cohort and Heating and Cooling System[ Cohort, Heating and Cooling System] Description: Number of homes that, once delays are taken into account, will be open to retrofitting. Present In 2 Views: Used By
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HeatPumpModel_v31 | #252 A |
Optimal U Across All Housing (kBTU / (sf * F * Year)) = SUM( Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort!, Heating and Cooling System!]* Housing[ Cohort!, Heating and Cooling System!, Retrofitting Status!]/ Total Housing Stock) Description: The average optimal U value across all cohorts and all energy sources. Weigh optimal U by share of housing so that houses which haven't been built yet don't factor into the average. Present In 1 View: Used By |
.housingagingchain v4 testing | #254 A |
Optimal U Value for Existing Homes if no EEHIC Cap (kBTU / (sf * F * Year)) Optimal U Value for Existing Homes if no EEHIC Cap[Cohort,Heating and Cooling System] = Reference U Value*( Expected Reference Marginal Cost*(1- Expected MassSave Proportional Subsidy Rate for Retrofits)*(1- Expected EEHIC Proportional Subsidy Rate for Retrofits)/ Lifetime Marginal Cost Reductions from Retrofitting[ Cohort, Heating and Cooling System])^(1/ Sensitivity of Marginal Cost to U Value) Description: Optimal U Value to retrofit to should achieve if fixed costs are not taken into consideration (e.g., if fixed costs have already been paid) for existing houses). This takes into account the proportional subsidy but not the lump sum. Effect of proportional subsidies are multiplied instead of added, i.e., (1 - subsidy1)(1-subsidy2) instead of (1 - subsidy1 - subsidy2), because costs from state programs are subtracted when calculating federal subsidy in MA (https://www.masssave.com/inflation-reduction-act, "How do Mass Save rebates factor into the calculation of tax credits?")Expression is derived from the marginal energy savings from retrofitting being Energy Price and marginal cost of retrofitting being Reference MC * (1/(U/ Reference U))^Sensitivity and then solving for optimal retrofit when marginal savings equal marginal cost.This is the optimal U value if there were no cap on the Energy Efficiency Home Improvement Credit, i.e., no discontinuity the marginal cost curve. Present In 8 Views:
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.housingagingchain v8 | #309 L |
Total Age (House * Year) Total Age[Cohort,Not Open to Retrofitting] = ∫( Aging[ Cohort,Not Open to Retrofitting]- Net Age Shift from Retrofitting Status Shifting[ Cohort])- Age Removal[ Cohort,Not Open to Retrofitting] dt + Initial Age[ Cohort,Not Open to Retrofitting] Total Age[Cohort,Open to Retrofitting] = ∫( Net Age Shift from Retrofitting Status Shifting[ Cohort]+ Aging[ Cohort,Open to Retrofitting])- Age Removal[ Cohort,Open to Retrofitting] dt + Initial Age[ Cohort,Open to Retrofitting] Description: "Total" age for each cohort of housing. Present In 2 Views: Used By
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HeatPumpModel_v31 | #310 A |
Total Area (sf) = SUM( Area[ Cohort!, Retrofitting Status!]) Description: The total area across all housing. Present In 1 View: Used By
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HeatPumpModel_v31 | #311 A |
Total Cooling Cost (Dollar / Year) = SUM( Average Cooling Cost[ Cohort!, Heating and Cooling System!, Retrofitting Status!]* Housing[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: The total amount of money spent on cooling homes, per year. Present In 1 View: Used By
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HeatPumpModel_v31 | #312 A |
Total Cooling Energy Use (kBTU/ Year) = SUM( Average Cooling Energy Use[ Cohort!, Heating and Cooling System!, Retrofitting Status!]* Housing[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: The total amount of energy spent on cooling homes. Present In 1 View: Used By
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HeatPumpModel_v31 | #315 A |
Total Energy Use (kBTU / Year) = SUM( Energy Use by Grouping[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: The total energy use for all homes in the model. Present In 1 View: Used By
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HeatPumpModel_v31 | #317 A |
Total Heating Cost (Dollar / Year) = SUM( Average Heating Cost[ Cohort!, Heating and Cooling System!, Retrofitting Status!]* Housing[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: The total amount of money spent on heating homes. Present In 1 View: Used By
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HeatPumpModel_v31 | #318 A |
Total Heating Energy Use (kBTU/ Year) = SUM( Average Heating Energy Use[ Cohort!, Heating and Cooling System!, Retrofitting Status!]* Housing[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: The total amount of energy spent on heating per year. Present In 1 View: Used By
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HeatPumpModel_v31 | #319 A |
Total Housing Starts (House/ Year) = SUM( Housing Starts[ Cohort!, Heating and Cooling System!]) Description: The total housing starts across all cohorts and sources. Present In 1 View: Used By |
.housingagingchain v4 testing | #320 A |
Total Housing Stock (House) = SUM( Housing[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: Total number of houses across all cohorts, heating/cooling systems, and retrofitting status. Present In 2 Views: Used By
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HeatPumpModel_v31 | #327 L |
Total U Value (House * kBTU / (Year * F * sf) ) Total U Value[Cohort,Heating and Cooling System,Not Open to Retrofitting] = ∫((( Increase in U Value from Housing Starts[ Cohort, Heating and Cooling System]- Net U Value Change from Retrofitting Home Shifts[ Cohort, Heating and Cooling System])- U Value Loss from Demolition[ Cohort, Heating and Cooling System,Not Open to Retrofitting])+(SUM( U Value Shift from Source Switching[ Cohort, Heating and Cooling System!, Heating and Cooling System,Not Open to Retrofitting])))-(SUM( U Value Shift from Source Switching[ Cohort, Heating and Cooling System, Heating and Cooling System!,Not Open to Retrofitting])) dt + Initial U Value[ Cohort, Heating and Cooling System,Not Open to Retrofitting] Total U Value[Cohort,Heating and Cooling System,Open to Retrofitting] = ∫((( Net U Value Change from Retrofitting Home Shifts[ Cohort, Heating and Cooling System]- U Value Loss from Demolition[ Cohort, Heating and Cooling System,Open to Retrofitting])+(SUM( U Value Shift from Source Switching[ Cohort, Heating and Cooling System!, Heating and Cooling System,Open to Retrofitting])))-(SUM( U Value Shift from Source Switching[ Cohort, Heating and Cooling System, Heating and Cooling System!,Open to Retrofitting])))- Retrofitting[ Cohort, Heating and Cooling System] dt + Initial U Value[ Cohort, Heating and Cooling System,Open to Retrofitting] Description: Total U-value of homes. Note that that is not a physical quantity, as the U-value of individual homes is not additive. Present In 2 Views: Used By
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HeatPumpModel_v31 | #324 A |
Total U Value Across All Groupings (House * kBTU / (sf * F * Year)) = SUM( Total U Value by Cohort[ Cohort!]) Description: Total U value across all groupings of households. Present In 1 View: Used By
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HeatPumpModel_v31 | #325 A |
Total U Value by Cohort (House * kBTU / (sf * F * Year)) Total U Value by Cohort[Cohort] = SUM( Total U Value[ Cohort, Heating and Cooling System!, Retrofitting Status!]) Description: Total U Value within each cohort. Present In 1 View: Used By
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HeatPumpModel_v31 | #326 A |
Total U Value by Heating and Cooling System (House * kBTU / (sf * F * Year)) Total U Value by Heating and Cooling System[Heating and Cooling System] = SUM( Total U Value[ Cohort!, Heating and Cooling System, Retrofitting Status!]) Description: The total U value by heating and cooling system Present In 1 View: Used By
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HeatPumpModel_v31 | #330 A |
U Value Increase from Source Switching (kBTU*House/(Year*Year*sf*F)) U Value Increase from Source Switching[Heating and Cooling System] = SUM( U Value Shift from Source Switching[ Cohort!, Heating and Cooling System!, Heating and Cooling System, Retrofitting Status!]) Description: The increase in total U value for each Heating and Cooling System from houses switching their heating and cooling systems. Present In 1 View: Used By
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HeatPumpModel_v31 | #335 F,A |
U Value Shift from Source Switching (House * kBTU / (Year * F * sf) / Year) U Value Shift from Source Switching[Cohort,Heat Pump Heating and Cooling,Heating and Cooling System,Retrofitting Status] = Houses Switching Sources[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]* U Value by Grouping[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status] U Value Shift from Source Switching[Cohort,Fossil Fuel Heating,Heating and Cooling System,Retrofitting Status] = Houses Switching Sources[ Cohort, Fossil Fuel Heating, Retrofitting Status, Heating and Cooling System]* U Value by Grouping[ Cohort, Fossil Fuel Heating, Retrofitting Status] Description: The shift in total U value coming from switching sources. Present In 2 Views: Used By
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(View) Average and Peak Load (17 Variables) |
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Top | (View) Average and Peak Load (17 Variables) | ||
Variable Name And Description | HeatPumpModel_v31 | #15 A |
Annual Load from Heat Pumps (kBTU / Year) = SUM( Energy Use by Grouping[ Cohort!, Heat Pump Heating and Cooling!, Retrofitting Status!]) Description: The load on the electric grid from servicing heating and cooling demand from heat pumps, across the whole year. Present In 1 View: Used By
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HeatPumpModel_v31 | #29 A |
Average Area (sf / House) Average Area[Cohort,Retrofitting Status] = ZIDZ( Area[ Cohort, Retrofitting Status], Housing by Cohort and Retrofitting Status[ Cohort, Retrofitting Status]) Description: Average area by cohort and retrofitting status (assume it's the same across heating and cooling systems). Present In 7 Views:
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HeatPumpModel_v31 | #34 A |
Average Daily Load from Heat Pumps (kBTU / Day) = Annual Load from Heat Pumps/ Days per Year Description: The average load on the electric grid from heat pumps, per day. Present In 1 View: Used By |
HeatPumpModel_v31 | #61 C |
CDD on Coldest Day (F ) = 17.1 Description: The total CDD from hottest day.Data from https://www.degreedays.net/ for KOWD, weather station nearest to centre of population for MA, Natick. Calculated by finding CDDs from the past three years (February 2021 - January 2024), finding the highest CDD in each year, and averaging them. Following industry standard, used 65°F as set point. Present In 1 View: Used By
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HeatPumpModel_v31 | #72 A |
Cooling System Efficiency (dmnl) Cooling System Efficiency[Heat Pump Heating and Cooling] = Heat Pump Cooling COP TABLE( Time) Cooling System Efficiency[Central AC Cooling] = 2.93 Cooling System Efficiency[Window AC Cooling] = 2.49* Effect of Air Leakage from Window AC on Efficiency Cooling System Efficiency[No AC Cooling] = NAREPLACEMENT Description: The COP of different air conditioning technologies on an average day. This is not in terms of energy efficiency rating or seasonal efficiency rating, although some are calculated from those figures.For central ac: assume value of tenFor window AC (under portable AC): https://learnmetrics.com/eer-rating/All are very rough, and non-heat pump cooling systems are assumed to have constant efficiency. Present In 4 Views: Used By
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HeatPumpModel_v31 | #83 C |
Days per Year (Day / Year ) = 365 Description: The number of days each year. Used to convert yearly measures to daily ones. Present In 1 View: Used By
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HeatPumpModel_v31 | #108 A |
Energy Use by Grouping (kBTU / Year) Energy Use by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = Average Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status]* Housing[ Cohort, Heating and Cooling System, Retrofitting Status] Description: The total amount of energy used for heating and cooling in each group. Present In 2 Views: Used By
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HeatPumpModel_v31 | #137 C |
HDD on Coldest Day (F ) = 55.2333 Description: The total HDD from coldest day.Data from https://www.degreedays.net/ for KOWD, weather station nearest to centre of population for MA, Natick. Calculated by finding HDDs from the past three years (February 2021 - January 2024), finding the highest HDD in each year, and averaging them. Following industry standard, used set point of 65°F. Present In 1 View: Used By
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HeatPumpModel_v31 | #139 C |
Heat Pump COP on Coldest Days (dmnl ) = 2.16438 Description: The heat pump COP on coolest day of the year.Taken from NYSERDA/MassCEC study on heat pump performance on 41 heat pumps: https://e4thefuture.org/wp-content/uploads/2022/06/Residential-ccASHP-Building-Electrification_060322.pdf (pg. 24). Regressed COP on temperature and its square. Using daily data on HDD (set point 65°F) for 2021-2023 from degreedays.net, calculated temperature of coldest day on average. Plugged that into regression model to find COP on coldest day. Present In 1 View: Used By
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HeatPumpModel_v31 | #174 L |
Housing (House) Housing[Cohort,Heating and Cooling System,Not Open to Retrofitting] = ∫((( Housing Starts[ Cohort, Heating and Cooling System]- Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System])- Demolitions[ Cohort, Heating and Cooling System,Not Open to Retrofitting])+(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System!,Not Open to Retrofitting, Heating and Cooling System])))-(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System,Not Open to Retrofitting, Heating and Cooling System!])) dt + Initial Homes Not Retrofitting[ Cohort, Heating and Cooling System] Housing[Cohort,Heating and Cooling System,Open to Retrofitting] = ∫(( Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System]- Demolitions[ Cohort, Heating and Cooling System,Open to Retrofitting])+(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System!,Open to Retrofitting, Heating and Cooling System])))-(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System,Open to Retrofitting, Heating and Cooling System!])) dt + Initial Homes Retrofitting[ Cohort, Heating and Cooling System] Description: Houses, divided into those open to retrofitting (i.e., they will retrofit if their U is not equal to optimal) and those who are not. Present In 7 Views:
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HeatPumpModel_v31 | #208 C |
kBTU per kWH (kBTU / kWH ) = 3.41214 Present In 1 View: Used By
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HeatPumpModel_v31 | #257 A |
Peak Cooling Load on Grid (kWH / Day) = SUM( Peak Load from Heat Pumps on Hottest Days per Group[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: Annual load from heat pumps providing heating on the coldest day, across all groups. Present In 1 View: Used By |
HeatPumpModel_v31 | #258 A |
Peak Heating Load on Grid (kWH / Day) = SUM( Peak Load from Heat Pumps on Coldest Days per Group[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: Annual load from heat pumps providing heating on the coldest days, across all groups. Present In 1 View: Used By |
HeatPumpModel_v31 | #259 C |
Peak Load from Heat Pumps on Coldest Days per Group (kWH / Day) Peak Load from Heat Pumps on Coldest Days per Group[Cohort,Heat Pump Heating and Cooling,Retrofitting Status] = Housing[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status]* U Value by Grouping[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status]* Average Area[ Cohort, Retrofitting Status]* HDD on Coldest Day/ Heat Pump COP on Coldest Days/( kBTU per kWH* Days per Year) Peak Load from Heat Pumps on Coldest Days per Group[Cohort,Fossil Fuel Heating,Retrofitting Status] = 0 Description: The load that houses with heat pumps will put on the grid due to providing heating on the coldest day of the year, when heat pumps are less efficient and per cohort and retrofit status. Present In 1 View: Used By
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HeatPumpModel_v31 | #260 C |
Peak Load from Heat Pumps on Hottest Days per Group (kWH / Day) Peak Load from Heat Pumps on Hottest Days per Group[Cohort,Heating and Cooling System,Retrofitting Status] = Housing[ Cohort, Heating and Cooling System, Retrofitting Status]* U Value by Grouping[ Cohort, Heating and Cooling System, Retrofitting Status]* Average Area[ Cohort, Retrofitting Status]* CDD on Coldest Day/ Cooling System Efficiency[ Heating and Cooling System]/( kBTU per kWH* Days per Year) Peak Load from Heat Pumps on Hottest Days per Group[Cohort,No AC Cooling,Retrofitting Status] = 0 Description: The load that houses with heat pumps will put on the grid due to providing heating on the coldest day of the year, per year and per cohort and retrofit status. Present In 1 View: Used By
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HeatPumpModel_v31 | #261 C |
Peak Load from Non Heating or Cooling Sources (kWH / Day ) = 18344.8*1000*0.461799 Description: The peak load coming from non-heating sources, like other household uses, commercial uses, industrial uses, etc. Approximated as the average peak load in September, October, April, and May of 2022 and 2023 from New England ISO data, since there is little heating or cooling demand in those swing months. We multiply by 0.46 as Massachusetts has 46% of New England's population and we assume demand is proportional to population.Data source: https://www.iso-ne.com/isoexpress/web/reports/load-and-demand/-/tree/net-ener-peak-load Present In 1 View: Used By |
HeatPumpModel_v31 | #329 A |
U Value by Grouping (kBTU / (sf * F * Year)) U Value by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = IF THEN ELSE( Housing[ Cohort, Heating and Cooling System, Retrofitting Status]>1e-12, Total U Value[ Cohort, Heating and Cooling System, Retrofitting Status]/ Housing[ Cohort, Heating and Cooling System, Retrofitting Status],0) Description: The average U value in each home by cohort, heating/cooling system, etc. Present In 8 Views:
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(View) Carbon Emissions (13 Variables) |
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Variable Name And Description | HeatPumpModel_v31 | #33 C |
Average Cooling Energy Use (kBTU / (Year * House)) Average Cooling Energy Use[Cohort,Heating and Cooling System,Retrofitting Status] = U Value by Grouping[ Cohort, Heating and Cooling System, Retrofitting Status]* Average Area[ Cohort, Retrofitting Status]* Cooling Degree Days/ Cooling System Efficiency[ Heating and Cooling System] Average Cooling Energy Use[Cohort,No AC Cooling,Retrofitting Status] = 0 Description: The average energy use for cooling. Calculated by setting efficiency times a house's cooling energy use equal to total cooling temperature differential (CDD), multiplied by U (or divided by R), and solving for energy use. Present In 3 Views: Used By
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HeatPumpModel_v31 | #35 A |
Average Emissions by Grouping (tCO2 / (Year * House)) Average Emissions by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = Average Emissions from Cooling by Grouping[ Cohort, Heating and Cooling System, Retrofitting Status]+ Average Emissions from Heating by Grouping[ Cohort, Heating and Cooling System, Retrofitting Status] Description: The total average emissions from heating and cooling, by cohort, retrofitting status, and Heating and Cooling System. Present In 2 Views: Used By
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HeatPumpModel_v31 | #36 A |
Average Emissions by Heating and Cooling System (tCO2 / Year / House) Average Emissions by Heating and Cooling System[Heating and Cooling System] = ZIDZ( Emissions by Heating and Cooling System[ Heating and Cooling System], Housing by Heating and Cooling System[ Heating and Cooling System]) Description: The average CO2 emissions for each house, by heating and cooling system. Present In 2 Views: Used By |
HeatPumpModel_v31 | #37 A |
Average Emissions from Cooling by Grouping (tCO2 / (House * Year)) Average Emissions from Cooling by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = Average Cooling Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status]* Cooling Emissions Factor/ Pounds per Ton Description: The GHG emissions from cooling the average home, by cohort, heating and cooling system, and retrofitting status. Present In 1 View: Used By
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HeatPumpModel_v31 | #38 A |
Average Emissions from Heating by Grouping (tCO2 / (House * Year)) Average Emissions from Heating by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = Average Heating Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status]* Heating Emissions Factors[ Heating and Cooling System]/ Pounds per Ton Description: Disaggregated carbon dioxide emissions from heating for each house, by cohort, retrofitting status, etc. Present In 1 View: Used By
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HeatPumpModel_v31 | #51 A |
Average Heating Energy Use (kBTU / (Year * House)) Average Heating Energy Use[Cohort,Heating and Cooling System,Retrofitting Status] = U Value by Grouping[ Cohort, Heating and Cooling System, Retrofitting Status]* Average Area[ Cohort, Retrofitting Status]* Heating Degree Days/ Heating System Efficiency[ Heating and Cooling System] Description: The average energy use for heating annually. Calculated by setting efficiency times energy use equal to total HDD, multiplied by U (or divided by R) and divided by year (to get annual use), and solving for energy use. Present In 3 Views: Used By
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HeatPumpModel_v31 | #68 C |
Cooling Emissions Factor (lb CO2 / kBTU) = 614/3414.43 Description: Amount of CO2 emitted from using one kBTU to cool a home. Emissions factor is common, and is for electricity.Taken from: https://www.mass.gov/doc/2020-summary-massachusetts-ghg-emissions-reports-for-retail-sellers-of-electricity/download Present In 1 View: Used By
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HeatPumpModel_v31 | #77 L |
Cumulative Emissions (tCO2) = ∫ Emissions dt + 0.0 Description: The total amount of CO2 emitted into the atmosphere during the course of the model's run. Present In 1 View: Used By |
HeatPumpModel_v31 | #98 F,A |
Emissions (tCO2 / Year) = SUM( Emissions by Grouping[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: The total amount of emissions across all housing groups. Present In 2 Views: Used By
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HeatPumpModel_v31 | #96 A |
Emissions by Grouping (tCO2 / Year) Emissions by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = Housing[ Cohort, Heating and Cooling System, Retrofitting Status]* Average Emissions by Grouping[ Cohort, Heating and Cooling System, Retrofitting Status] Description: The total emissions for the most disaggregated grouping in the model. Present In 2 Views: Used By
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HeatPumpModel_v31 | #142 C |
Heating Emissions Factors (lb CO2 / kBTU) Heating Emissions Factors[Heat Pump Heating and Cooling] = 684/3414.43 Heating Emissions Factors[Gas Heating] = 116.65/1000 Heating Emissions Factors[Oil Heating] = 163.45/1000 Description: The pounds of CO2 emitted per kBTU of heating energy provided, for each heating fuel.Data for heat pumps (electricity) is: https://www.mass.gov/doc/2020-summary-massachusetts-ghg-emissions-reports-for-retail-sellers-of-electricity/downloadRest is from: https://www.eia.gov/environment/emissions/co2_vol_mass.phpIn line with that source, I assume that each heat pump will add to the grid and is not part of base demand, and so the marginal emissions from producing electricity from heat pumps will be constant at the value as it will come from natural gas generators (explanation of which is from here: https://willbrownsberger.com/how-green-will-the-power-be/ Present In 1 View: Used By
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HeatPumpModel_v31 | #174 L |
Housing (House) Housing[Cohort,Heating and Cooling System,Not Open to Retrofitting] = ∫((( Housing Starts[ Cohort, Heating and Cooling System]- Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System])- Demolitions[ Cohort, Heating and Cooling System,Not Open to Retrofitting])+(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System!,Not Open to Retrofitting, Heating and Cooling System])))-(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System,Not Open to Retrofitting, Heating and Cooling System!])) dt + Initial Homes Not Retrofitting[ Cohort, Heating and Cooling System] Housing[Cohort,Heating and Cooling System,Open to Retrofitting] = ∫(( Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System]- Demolitions[ Cohort, Heating and Cooling System,Open to Retrofitting])+(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System!,Open to Retrofitting, Heating and Cooling System])))-(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System,Open to Retrofitting, Heating and Cooling System!])) dt + Initial Homes Retrofitting[ Cohort, Heating and Cooling System] Description: Houses, divided into those open to retrofitting (i.e., they will retrofit if their U is not equal to optimal) and those who are not. Present In 7 Views:
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HeatPumpModel_v31 | #264 C |
Pounds per Ton (lb CO2 / tCO2) = 2204.6 Description: The number of pounds in a metric ton. Present In 1 View: Used By
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(View) Cumulative Subsidies (39 Variables) |
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Variable Name And Description | HeatPumpModel_v31 | #1 A |
Actual EEHIC Subsidy for Retrofits (Dollar / House) Actual EEHIC Subsidy for Retrofits[Cohort,Heating and Cooling System] = MIN( Unsubsidized Retrofit Cost[ Cohort, Heating and Cooling System]* Implemented EEHIC Subsidy Proportional Rate for Retrofits, Implemented EEHIC Maximum Subsidy for Retrofits) Description: The actual subsidy for retrofits by the Energy Efficiency Home Improvement Credit, not the expected value. Present In 1 View: Used By
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HeatPumpModel_v31 | #2 A |
Actual HOMES Subsidy for Retrofits (Dollar/ Home) Actual HOMES Subsidy for Retrofits[Cohort,Heating and Cooling System] = IF THEN ELSE( Energy Savings[ Cohort, Heating and Cooling System]< HOMES Cut Off for Savings, HOMES Implemented Lower Subsidy, HOMES Implemented High Subsidy) Description: The lump sum subsidy offered by the Home Owner Managing Energy Savings rebate (from the IRA), as opposed to the expected value. Present In 1 View: Used By
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HeatPumpModel_v31 | #3 A |
Actual MassSave Subsidy for Retrofits (Dollar / House) Actual MassSave Subsidy for Retrofits[Cohort,Heating and Cooling System] = MIN( Unsubsidized Retrofit Cost[ Cohort, Heating and Cooling System]* Implemented MassSave Subsidy Proportional Rate for Retrofits, Implemented MassSave Maximum Subsidy for Retrofits) Description: The actual subsidy offered for retrofits by MassSave, not the expected value. Present In 1 View: Used By
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HeatPumpModel_v31 | #13 F,A |
Annual Federal Subsidies (Dollar / Year) = Federal Annual Heat Pump Subsidy+ Federal Annual Retrofit Subsidy Description: The amount of money the federal government spends on subsidies for heat pumps and retrofits, each year. Present In 1 View: Used By
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HeatPumpModel_v31 | #14 F,A |
Annual Heat Pump Subsidy (Dollar / Year) = Federal Annual Heat Pump Subsidy+ Massachusetts Annual Heat Pumps Subsidy Description: The amount of money the government spends to subsidize heat pumps, including state and federal government. Present In 1 View: Used By
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HeatPumpModel_v31 | #16 F,A |
Annual MA Subsidies (Dollar / Year) = Massachusetts Annual Retrofit Subsidy+ Massachusetts Annual Heat Pumps Subsidy Description: The subsidies that the Massachusetts state government gives out per year for both retrofits and heat pumps. Present In 1 View: Used By
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HeatPumpModel_v31 | #17 F,A |
Annual Retrofit Subsidy (Dollar / Year) = Federal Annual Retrofit Subsidy+ Massachusetts Annual Retrofit Subsidy Description: The subsidies for retrofits paid out every year. Present In 1 View: Used By
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HeatPumpModel_v31 | #18 A |
Annual Subsidies (Dollar / Year) = Annual Heat Pump Subsidy+ Annual Retrofit Subsidy Description: The amount of subsidies spent on heat pumps and retrofits every year. Present In 1 View: Used By |
HeatPumpModel_v31 | #78 L |
Cumulative Federal Subsidy (Dollar) = ∫ Annual Federal Subsidies dt + 0.0 Description: The amount of money the federal government spends on subsidies for heat pumps and retrofits since the beginning of the model's run. Present In 1 View: Used By |
HeatPumpModel_v31 | #79 L |
Cumulative MA Subsidy (Dollar) = ∫ Annual MA Subsidies dt + 0.0 Description: The amount of subsidies that the Massachusetts state government has given out for heat pumps and retrofits since the beginning of the model's run. Present In 1 View: Used By |
HeatPumpModel_v31 | #81 A |
Cumulative Subsidies (Dollar) = Cumulative Subsidy for Retrofits+ Cumulative Subsidies for Heat Pumps Description: The amount spent on subsidies for both heat pumps and retrofits by both since state and federal governments the beginning of the model run. Present In 1 View: Used By |
HeatPumpModel_v31 | #80 L |
Cumulative Subsidies for Heat Pumps (Dollar) = ∫ Annual Heat Pump Subsidy dt + 0.0 Description: The total amount of dollars spent on subsidizing heat pumps throughout the model's run. Present In 1 View: Used By
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HeatPumpModel_v31 | #82 L |
Cumulative Subsidy for Retrofits (Dollar) = ∫ Annual Retrofit Subsidy dt + 0.0 Description: The total amount spent on retrofits since the beginning of the model's run. Present In 1 View: Used By
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HeatPumpModel_v31 | #106 A |
Energy Savings (dmnl) Energy Savings[Cohort,Heating and Cooling System] = MAX(0,ABS(ZIDZ(( Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System]- U Value by Grouping[ Cohort, Heating and Cooling System,Open to Retrofitting]), U Value by Grouping[ Cohort, Heating and Cooling System,Open to Retrofitting]))) Description: The amount of energy savings that not refitting houses would achieve if they were to retrofit. Because we assume area, HDD, and efficiency stay the same before and after retrofitting, this saving is solely from changing the U value. Present In 2 Views: Used By
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HeatPumpModel_v31 | #124 A |
Federal Annual Heat Pump Subsidy (Dollar / Year) = Total Heat Pump Sales* IRA Actual Subsidy for Heat Pumps Description: The amount of subsidies the federal government spends on heat pumps through the Inflation Reduction Act every year. Present In 1 View: Used By
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HeatPumpModel_v31 | #125 A |
Federal Annual Retrofit Subsidy (Dollar / Year) = SUM(( Actual EEHIC Subsidy for Retrofits[ Cohort!, Heating and Cooling System!]+ Actual HOMES Subsidy for Retrofits[ Cohort!, Heating and Cooling System!])* Houses Retrofitting per Year[ Cohort!, Heating and Cooling System!]) Description: The amount of federal subsidies spent by the federal government, through the IRA. Present In 1 View: Used By
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HeatPumpModel_v31 | #147 C |
HOMES Cut Off for Savings (dmnl ) = 0.35 Description: The percent energy savings needed to get the higher subsidy amount from the Home Owner Managing Energy Savings rebate. Taken from: https://www.nrdc.org/bio/lauren-urbanek/theres-no-better-time-consider-home-energy-upgrades#: :text=The%20HOMES%20Rebate%20Program%20provides,or%20from%20measured%20energy%20savings. Present In 2 Views: Used By
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HeatPumpModel_v31 | #151 A |
HOMES Implemented High Subsidy (Dollar / House) = IF THEN ELSE( Time>= HOMES Subsidy Implementation Year:AND: Time<= HOMES Subsidy Final Year, HOMES High Subsidy Amount,0) Description: Implemented higher subsidy from the HOMES rebate program. Present In 2 Views: Used By
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.housingagingchain v15 | #152 A |
HOMES Implemented Lower Subsidy (Dollar / House) = IF THEN ELSE( Time>= HOMES Subsidy Implementation Year:AND: Time<= HOMES Subsidy Final Year, HOMES Lower Subsidy Amount,0) Description: Lump sum subsidy that is actually implemented. Equal to zero before implementation year and to lump sum subsidy after implementation year. Present In 2 Views: Used By
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HeatPumpModel_v31 | #157 A |
Houses Retrofitting per Year (House / Year) Houses Retrofitting per Year[Cohort,Heating and Cooling System] = IF THEN ELSE( Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System]< U Value by Grouping[ Cohort, Heating and Cooling System,Open to Retrofitting], Housing[ Cohort, Heating and Cooling System,Open to Retrofitting]/ Retrofit Delay,0) Description: The number of homes retrofitting per year. This is an approximation because the number of homes actively retrofitting is equal to the number of homes open to retrofitting only if their average U value is less than optimal U. Assumes that if, say, the retrofitting delay is 5 years, then on average 20% of homes are retrofitting every year. Present In 1 View: Used By
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HeatPumpModel_v31 | #174 L |
Housing (House) Housing[Cohort,Heating and Cooling System,Not Open to Retrofitting] = ∫((( Housing Starts[ Cohort, Heating and Cooling System]- Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System])- Demolitions[ Cohort, Heating and Cooling System,Not Open to Retrofitting])+(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System!,Not Open to Retrofitting, Heating and Cooling System])))-(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System,Not Open to Retrofitting, Heating and Cooling System!])) dt + Initial Homes Not Retrofitting[ Cohort, Heating and Cooling System] Housing[Cohort,Heating and Cooling System,Open to Retrofitting] = ∫(( Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System]- Demolitions[ Cohort, Heating and Cooling System,Open to Retrofitting])+(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System!,Open to Retrofitting, Heating and Cooling System])))-(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System,Open to Retrofitting, Heating and Cooling System!])) dt + Initial Homes Retrofitting[ Cohort, Heating and Cooling System] Description: Houses, divided into those open to retrofitting (i.e., they will retrofit if their U is not equal to optimal) and those who are not. Present In 7 Views:
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HeatPumpModel_v31 | #175 A |
Implemented EEHIC Maximum Subsidy for Retrofits (Dollar / House) = IF THEN ELSE( Time>= Proportional EEHIC Subsidy Implementation Year for Retrofits:AND: Time<= EEHIC Subsidy for Retrofits Final Year, EEHIC Maximum Subsidy for Retrofits,0) Description: Maximum proportional subsidy from EEHIC that is actually implemented. Equal to zero before implementation year and to maximum proportional subsidy after implementation year. Present In 2 Views: Used By
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HeatPumpModel_v31 | #176 A |
Implemented EEHIC Subsidy Proportional Rate for Retrofits (dmnl) = IF THEN ELSE( Time>= Proportional EEHIC Subsidy Implementation Year for Retrofits:AND: EEHIC Subsidy for Retrofits Final Year>= Time, EEHIC Proportional Subsidy Rate for Retrofits,0) Description: The implemented proportional subsidy rate for retrofits from the IRA, taking into account whether a proportional subsidy has been implemented. Equal to zero before implementation year and proportional subsidy discount afterwards. Present In 2 Views: Used By
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HeatPumpModel_v31 | #177 A |
Implemented IRA Maximum Proportional Subsidy for Heat Pumps (Dollar / House) = IF THEN ELSE( Time>= IRA Proportional Subsidy Implementation Year for Heat Pumps:AND: Time<= IRA Lump Sum Subsidy for Heat Pumps Final Year, IRA Maximum Proportional Subsidy for Heat Pumps,0) Description: Maximum proportional subsidy for heat pumps that is actually implemented. Equal to zero before implementation year and to maximum proportional subsidy after implementation year. Present In 2 Views: Used By
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.housingagingchain v15 | #178 A |
Implemented MassSave Maximum Subsidy for Retrofits (Dollar / House) = IF THEN ELSE( Time>= Proportional MassSave Subsidy Implementation Year for Retrofits:AND: Time<= MassSave Subsidy for Retrofits Final Year, MassSave Maximum Subsidy for Retrofits,0) Description: Maximum proportional subsidy that is actually implemented. Equal to zero before implementation year and to maximum proportional subsidy after implementation year. Present In 2 Views: Used By
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.housingagingchain v15 | #179 A |
Implemented MassSave Subsidy Proportional Rate for Retrofits (dmnl) = IF THEN ELSE( Time>= Proportional MassSave Subsidy Implementation Year for Retrofits:AND: MassSave Subsidy for Retrofits Final Year>= Time, Mass Save Proportional Subsidy Rate for Retrofits,0) Description: The implemented proportional subsidy rate from the state, taking into account whether a proportional subsidy has been implemented. Equal to zero before implementation year and proportional subsidy discount afterwards. Present In 2 Views: Used By
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HeatPumpModel_v31 | #201 A |
IRA Actual Subsidy for Heat Pumps (Dollar / House) = MIN( IRA Implemented Subsidy Proportional Rate for Heat Pumps* Unsubsidized Cost of Heat Pumps, Implemented IRA Maximum Proportional Subsidy for Heat Pumps) Description: The actual implemented subsidy for heat pumps from the Inflation Reduction Act, as opposed to the expected subsidy value. Present In 1 View: Used By
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HeatPumpModel_v31 | #203 A |
IRA Implemented Subsidy Proportional Rate for Heat Pumps (dmnl) = IF THEN ELSE( Time>= IRA Proportional Subsidy Implementation Year for Heat Pumps:AND: IRA Lump Sum Subsidy for Heat Pumps Final Year>= Time, IRA Proportional Subsidy Rate for Heat Pumps,0) Description: The implemented proportional subsidy rate, taking into account whether a proportional subsidy has been implemented. Equal to zero before implementation year and proportional subsidy rate afterwards. Present In 2 Views: Used By
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HeatPumpModel_v31 | #205 C |
IRA Maximum Proportional Subsidy for Heat Pumps (Dollar / House ) = 2000 Description: The maximum proportional subsidy for heat pumps that will be offered, regardless of the subsidy rate. For instance, if the proportional subsidy is 50% but the maximum is $1000, then for a retrofit project that costs $3000 only a $1000 subsidy will be given.Taken from: https://www.energystar.gov/about/federal-tax-credits Present In 2 Views: Used By
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HeatPumpModel_v31 | #215 A |
Massachusetts Annual Heat Pumps Subsidy (Dollar / Year) = Total Heat Pump Sales* MassSave Implemented Lump Sum Subsidy for Heat Pumps Description: The actual subsidy provided for purchase of heat pumps by Massachusetts, as opposed to what the subsidy expected by homeowners is. Present In 1 View: Used By
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HeatPumpModel_v31 | #216 A |
Massachusetts Annual Retrofit Subsidy (Dollar / Year) = SUM( Houses Retrofitting per Year[ Cohort!, Heating and Cooling System!]* Actual MassSave Subsidy for Retrofits[ Cohort!, Heating and Cooling System!]) Description: Amount of money Massachusetts spends on MassSave subsidies for retrofits, yearly. Present In 1 View: Used By
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HeatPumpModel_v31 | #219 A |
MassSave Implemented Lump Sum Subsidy for Heat Pumps (Dollar / House) = MIN( Unsubsidized Cost of Heat Pumps,IF THEN ELSE( Time>= MassSave Lump Sum Subsidy Implementation Year for Heat Pumps:AND: Time<= MassSave Lump Sum Subsidy for Heat Pumps Final Year, MassSave Lump Sum Subsidy Amount for Heat Pumps,0)) Description: Lump sum subsidy from MassSave that is actually implemented. Equal to zero before implementation year and to lump sum subsidy after implementation year. Present In 2 Views: Used By
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.housingagingchain v4 testing | #254 A |
Optimal U Value for Existing Homes if no EEHIC Cap (kBTU / (sf * F * Year)) Optimal U Value for Existing Homes if no EEHIC Cap[Cohort,Heating and Cooling System] = Reference U Value*( Expected Reference Marginal Cost*(1- Expected MassSave Proportional Subsidy Rate for Retrofits)*(1- Expected EEHIC Proportional Subsidy Rate for Retrofits)/ Lifetime Marginal Cost Reductions from Retrofitting[ Cohort, Heating and Cooling System])^(1/ Sensitivity of Marginal Cost to U Value) Description: Optimal U Value to retrofit to should achieve if fixed costs are not taken into consideration (e.g., if fixed costs have already been paid) for existing houses). This takes into account the proportional subsidy but not the lump sum. Effect of proportional subsidies are multiplied instead of added, i.e., (1 - subsidy1)(1-subsidy2) instead of (1 - subsidy1 - subsidy2), because costs from state programs are subtracted when calculating federal subsidy in MA (https://www.masssave.com/inflation-reduction-act, "How do Mass Save rebates factor into the calculation of tax credits?")Expression is derived from the marginal energy savings from retrofitting being Energy Price and marginal cost of retrofitting being Reference MC * (1/(U/ Reference U))^Sensitivity and then solving for optimal retrofit when marginal savings equal marginal cost.This is the optimal U value if there were no cap on the Energy Efficiency Home Improvement Credit, i.e., no discontinuity the marginal cost curve. Present In 8 Views:
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HeatPumpModel_v31 | #270 C |
Proportional IRA Subsidy Switch for Heat Pumps (dmnl ) = 1 Description: Turns proportional subsidy's effect on retrofit cost on/off. Present In 2 Views: Used By
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HeatPumpModel_v31 | #286 C |
Retrofit Delay (Year ) = 2 Description: Time to retrofit. Assumed to be on average six months. Present In 2 Views: Used By
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HeatPumpModel_v31 | #316 A |
Total Heat Pump Sales (House / Year) = SUM( Houses Switching Sources[ Cohort!, Heating and Cooling System!, Retrofitting Status!,Heat Pump Only]+ Houses Switching Sources[ Cohort!, Heating and Cooling System!, Retrofitting Status!,Heat Pump and Gas]+ Houses Switching Sources[ Cohort!, Heating and Cooling System!, Retrofitting Status!,Heat Pump and Oil]) Description: Number of houses buying heat pumps every year. Present In 3 Views: Used By
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HeatPumpModel_v31 | #329 A |
U Value by Grouping (kBTU / (sf * F * Year)) U Value by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = IF THEN ELSE( Housing[ Cohort, Heating and Cooling System, Retrofitting Status]>1e-12, Total U Value[ Cohort, Heating and Cooling System, Retrofitting Status]/ Housing[ Cohort, Heating and Cooling System, Retrofitting Status],0) Description: The average U value in each home by cohort, heating/cooling system, etc. Present In 8 Views:
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HeatPumpModel_v31 | #337 A |
Unsubsidized Cost of Heat Pumps (Dollar / House) = Unsubsidized Cost of Heat Pump Over Time TABLE( Time) Description: The unsubsidized cost of heat pumps, instantiated at each time. Present In 3 Views: Used By
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.housingagingchain v8 | #339 A |
Unsubsidized Retrofit Cost (Dollar / House) Unsubsidized Retrofit Cost[Cohort,Heating and Cooling System] = Unsubsidized Retrofit Cost Intensity[ Cohort, Heating and Cooling System]* Average Area[ Cohort,Open to Retrofitting] Description: Total retrofit cost without taking into account subsidies. Present In 4 Views:
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(View) Energy Use (28 Variables) |
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Top | (View) Energy Use (28 Variables) | ||
Variable Name And Description | HeatPumpModel_v31 | #29 A |
Average Area (sf / House) Average Area[Cohort,Retrofitting Status] = ZIDZ( Area[ Cohort, Retrofitting Status], Housing by Cohort and Retrofitting Status[ Cohort, Retrofitting Status]) Description: Average area by cohort and retrofitting status (assume it's the same across heating and cooling systems). Present In 7 Views:
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HeatPumpModel_v31 | #31 A |
Average Cooling Cost (Dollar / (Year * House)) Average Cooling Cost[Cohort,Heating and Cooling System,Retrofitting Status] = Expected Cooling Energy Price* Average Cooling Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status] Description: The average costs for keeping a home cool, by grouping. Present In 2 Views: Used By
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HeatPumpModel_v31 | #33 C |
Average Cooling Energy Use (kBTU / (Year * House)) Average Cooling Energy Use[Cohort,Heating and Cooling System,Retrofitting Status] = U Value by Grouping[ Cohort, Heating and Cooling System, Retrofitting Status]* Average Area[ Cohort, Retrofitting Status]* Cooling Degree Days/ Cooling System Efficiency[ Heating and Cooling System] Average Cooling Energy Use[Cohort,No AC Cooling,Retrofitting Status] = 0 Description: The average energy use for cooling. Calculated by setting efficiency times a house's cooling energy use equal to total cooling temperature differential (CDD), multiplied by U (or divided by R), and solving for energy use. Present In 3 Views: Used By
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HeatPumpModel_v31 | #40 A |
Average Energy Cost (Dollar / (Year * House)) Average Energy Cost[Cohort,Heating and Cooling System,Retrofitting Status] = Average Cooling Cost[ Cohort, Heating and Cooling System, Retrofitting Status]+ Average Heating Cost[ Cohort, Heating and Cooling System, Retrofitting Status] Description: The average cost of both heating and cooling a home, by grouping. Present In 2 Views: Used By
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HeatPumpModel_v31 | #45 A |
Average Energy Use (kBTU / (Year * House)) Average Energy Use[Cohort,Heating and Cooling System,Retrofitting Status] = Average Heating Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status]+ Average Cooling Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status] Description: Average energy use to both heat and cool a home. Present In 2 Views: Used By
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.housingagingchain v5 testing | #49 A |
Average Heating Cost (Dollar / (Year * House)) Average Heating Cost[Cohort,Heating and Cooling System,Retrofitting Status] = Expected Heating Energy Price[ Heating and Cooling System]* Average Heating Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status] Description: The costs per year to heat one house. Present In 2 Views: Used By
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HeatPumpModel_v31 | #51 A |
Average Heating Energy Use (kBTU / (Year * House)) Average Heating Energy Use[Cohort,Heating and Cooling System,Retrofitting Status] = U Value by Grouping[ Cohort, Heating and Cooling System, Retrofitting Status]* Average Area[ Cohort, Retrofitting Status]* Heating Degree Days/ Heating System Efficiency[ Heating and Cooling System] Description: The average energy use for heating annually. Calculated by setting efficiency times energy use equal to total HDD, multiplied by U (or divided by R) and divided by year (to get annual use), and solving for energy use. Present In 3 Views: Used By
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HeatPumpModel_v31 | #67 C |
Cooling Degree Days (F ) = 1029 Description: The difference between temperature setpoint (65 F) and outside temperature for heating. Typically called cooling degree days, but units are solely in terms of fahrenheit.Data from degreedays.net, using the weather station for Norwood Memorial Airport, the closest weather station to the center of MA's population, Natick. Use set point of 65°F, in line with industry standard, as at that temperature little heating or cooling is necessary. Present In 3 Views: Used By
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HeatPumpModel_v31 | #70 A |
Cooling Energy Price (Dollar / kBTU) = Initial Cooling Energy Price* Input 1 Description: Price of cooling a home (through air conditioning), subject to the test input. Present In 3 Views: Used By
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HeatPumpModel_v31 | #72 A |
Cooling System Efficiency (dmnl) Cooling System Efficiency[Heat Pump Heating and Cooling] = Heat Pump Cooling COP TABLE( Time) Cooling System Efficiency[Central AC Cooling] = 2.93 Cooling System Efficiency[Window AC Cooling] = 2.49* Effect of Air Leakage from Window AC on Efficiency Cooling System Efficiency[No AC Cooling] = NAREPLACEMENT Description: The COP of different air conditioning technologies on an average day. This is not in terms of energy efficiency rating or seasonal efficiency rating, although some are calculated from those figures.For central ac: assume value of tenFor window AC (under portable AC): https://learnmetrics.com/eer-rating/All are very rough, and non-heat pump cooling systems are assumed to have constant efficiency. Present In 4 Views: Used By
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HeatPumpModel_v31 | #95 C |
Effect of Air Leakage from Window AC on Efficiency (dmnl) = 0.9*10/11 Description: A window air conditioner typically does not perfectly cover its intended cavity, leading to more air leakage and therefore reducing efficiency.Taken from: https://www.energy.gov/sites/prod/files/2014/08/f18/ba_innovations_1-2-5_window_ac.pdf Present In 1 View: Used By
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HeatPumpModel_v31 | #111 SM,A |
Expected Cooling Energy Price (Dollar / kBTU) = SMOOTH3( Cooling Energy Price, Delay in Forming Expectations of Energy Price) Description: Energy price for one kBTU of cooling used to calculate optimal U value. Third order exponential smoothing of cooling energy price. Present In 4 Views: Used By
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.housingagingchain v15 | #115 SM,A |
Expected Heating Energy Price (Dollar / kBTU) Expected Heating Energy Price[Heating and Cooling System] = SMOOTH3( Heating Energy Price[ Heating and Cooling System], Delay in Forming Expectations of Energy Price) Description: Energy price for one kBTU of heating used to calculate optimal U value. Third order exponential smoothing of heating energy price. Present In 6 Views:
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HeatPumpModel_v31 | #136 A,T |
Gas COP TABLE (dmnl) Gas COP TABLE([(2020,0)-(2050,1)],(2020,0.9),(2030,0.925),(2040,0.95),(2050,0.95)) ![]() Description: Efficiency of gas systems over time. Taken as the average of projected efficiency for reference gas boilers and gas furnaces, from MassDEP's Energy Pathways for Deep Decarbonization Report (pg. 97): https://www.mass.gov/doc/energy-pathways-for-deep-decarbonization-report/download Present In 1 View: Used By
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HeatPumpModel_v31 | #138 A,T |
Heat Pump Cooling COP TABLE (dmnl) Heat Pump Cooling COP TABLE([(2020,0)-(2050,10)],(2020,4.3),(2030,4.8),(2040,5.17),(2050,5.28)) ![]() Description: The COP of heat pumps when used for cooling. Calculated by assuming the ratio of heating and cooling COP is constant over time -- as heating COP improves the ability to cool improves proportionally-- finding cooling COP in 2020, finding the COP for cooling of heating in 2018, and then using the ratio between the two in 2020 to project future values. Data on this was difficult to find.Projected heating COP from pg. 97 of MassDEP's Energy Pathways for Deep Decarbonization: https://www.mass.gov/doc/energy-pathways-for-deep-decarbonization-report/downloadCooling COP in 2020 here: https://www.raleighheatingandair.com/blog/is-a-heat-pump-more-effective-at-cooling-or-heating/ Present In 1 View: Used By
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HeatPumpModel_v31 | #140 A,T |
Heat Pump Heating COP TABLE (dmnl) Heat Pump Heating COP TABLE([(2020,0)-(2050,10)],(2020,2.485),(2030,2.785),(2040,2.99),(2050,3.05)) ![]() Description: The efficiency of heat pumps for heating, over time. Taken as the average of projected COP for reference ASHP and ductless mini-splits from MassDEP's Energy Pathways Report (pg. 97): https://www.mass.gov/doc/energy-pathways-for-deep-decarbonization-report/download Present In 1 View: Used By
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HeatPumpModel_v31 | #141 C |
Heating Degree Days (F ) = 5026 Description: The difference between temperature setpoint (65 F) and outside temperature.Data from degreedays.net, using the weather station for Norwood Memorial Airport, the closest weather station to the center of MA's population, Natick. In line with industry standard, use set point of 65°F, as thattemperature little heating or cooling is needed. Present In 3 Views: Used By
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.housingagingchain v5 testing | #143 A |
Heating Energy Price (Dollar / (kBTU)) Heating Energy Price[Heating and Cooling System] = Initial Heating Energy Price[ Heating and Cooling System]* Input 0 Description: The price to heat a home (which in this model we assume can only have one size) 1 kBTU, multiplied by the test input. Present In 6 Views:
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HeatPumpModel_v31 | #145 A |
Heating System Efficiency (dmnl) Heating System Efficiency[Heat Pump Heating and Cooling] = Heat Pump Heating COP TABLE( Time) Heating System Efficiency[Gas Heating] = Gas COP TABLE( Time) Heating System Efficiency[Oil Heating] = Oil COP TABLE( Time) Description: The COP (for heat pumps) or annual fuel utilization efficiency of heating systems. Varies over time. Present In 3 Views: Used By
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HeatPumpModel_v31 | #245 A,T |
Oil COP TABLE (dmnl) Oil COP TABLE([(2020,0)-(2050,1)],(2020,0.835),(2030,0.84),(2050,0.84)) ![]() Description: Efficiency of oil systems over time. Taken as the average of projected efficiency for reference distillate boilers and furnaces, from MassDEP's Energy Pathways for Deep Decarbonization Report (pg. 97): https://www.mass.gov/doc/energy-pathways-for-deep-decarbonization-report/download Present In 1 View: Used By
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HeatPumpModel_v31 | #246 A |
Optimal Cooling Cost (Dollar / (Year * House)) Optimal Cooling Cost[Cohort,Heating and Cooling System,Retrofitting Status] = Expected Cooling Energy Price* Optimal Cooling Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status] Description: The average cost of cooling, if homes have the optimal U value. Present In 1 View: Used By
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HeatPumpModel_v31 | #247 C |
Optimal Cooling Energy Use (kBTU / (Year * House)) Optimal Cooling Energy Use[Cohort,Heating and Cooling System,Retrofitting Status] = Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System]* Average Area[ Cohort, Retrofitting Status]* Cooling Degree Days/ Cooling System Efficiency[ Heating and Cooling System] Optimal Cooling Energy Use[Cohort,No AC Cooling,Retrofitting Status] = 0 Description: The energy used for cooling, for the average household, if U is optimal. Calculated by setting efficiency times energy use equal to total cooling temperature differential(CDD), multiplied by optimal U, and solving for energy use. Present In 1 View: Used By
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HeatPumpModel_v31 | #248 A |
Optimal Energy Cost (Dollar / (Year * House)) Optimal Energy Cost[Cohort,Heating and Cooling System,Retrofitting Status] = Optimal Cooling Cost[ Cohort, Heating and Cooling System, Retrofitting Status]+ Optimal Heating Cost[ Cohort, Heating and Cooling System, Retrofitting Status] Description: Total energy cost if optimal U value is achieved. Present In 2 Views: Used By
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HeatPumpModel_v31 | #249 A |
Optimal Energy Use (kBTU / (House * Year)) Optimal Energy Use[Cohort,Heating and Cooling System,Retrofitting Status] = Optimal Cooling Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status]+ Optimal Heating Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status] Description: Average energy use to heat and cool per house if U is optimal. Present In 1 View: Used By |
HeatPumpModel_v31 | #250 A |
Optimal Heating Cost (Dollar / (Year * House)) Optimal Heating Cost[Cohort,Heating and Cooling System,Retrofitting Status] = Expected Heating Energy Price[ Heating and Cooling System]* Optimal Heating Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status] Description: Average heating cost if U value is optimal. Present In 1 View: Used By
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HeatPumpModel_v31 | #251 A |
Optimal Heating Energy Use (kBTU / (House * Year)) Optimal Heating Energy Use[Cohort,Heating and Cooling System,Retrofitting Status] = Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System]* Average Area[ Cohort, Retrofitting Status]* Heating Degree Days/ Heating System Efficiency[ Heating and Cooling System] Description: The energy used for heating, for the average household, if U is optimal. Calculated by setting efficiency times energy use equal to total heating temperature differential, multiplied by optimal U, and solving for energy use. Present In 1 View: Used By
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.housingagingchain v4 testing | #254 A |
Optimal U Value for Existing Homes if no EEHIC Cap (kBTU / (sf * F * Year)) Optimal U Value for Existing Homes if no EEHIC Cap[Cohort,Heating and Cooling System] = Reference U Value*( Expected Reference Marginal Cost*(1- Expected MassSave Proportional Subsidy Rate for Retrofits)*(1- Expected EEHIC Proportional Subsidy Rate for Retrofits)/ Lifetime Marginal Cost Reductions from Retrofitting[ Cohort, Heating and Cooling System])^(1/ Sensitivity of Marginal Cost to U Value) Description: Optimal U Value to retrofit to should achieve if fixed costs are not taken into consideration (e.g., if fixed costs have already been paid) for existing houses). This takes into account the proportional subsidy but not the lump sum. Effect of proportional subsidies are multiplied instead of added, i.e., (1 - subsidy1)(1-subsidy2) instead of (1 - subsidy1 - subsidy2), because costs from state programs are subtracted when calculating federal subsidy in MA (https://www.masssave.com/inflation-reduction-act, "How do Mass Save rebates factor into the calculation of tax credits?")Expression is derived from the marginal energy savings from retrofitting being Energy Price and marginal cost of retrofitting being Reference MC * (1/(U/ Reference U))^Sensitivity and then solving for optimal retrofit when marginal savings equal marginal cost.This is the optimal U value if there were no cap on the Energy Efficiency Home Improvement Credit, i.e., no discontinuity the marginal cost curve. Present In 8 Views:
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HeatPumpModel_v31 | #329 A |
U Value by Grouping (kBTU / (sf * F * Year)) U Value by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = IF THEN ELSE( Housing[ Cohort, Heating and Cooling System, Retrofitting Status]>1e-12, Total U Value[ Cohort, Heating and Cooling System, Retrofitting Status]/ Housing[ Cohort, Heating and Cooling System, Retrofitting Status],0) Description: The average U value in each home by cohort, heating/cooling system, etc. Present In 8 Views:
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(View) Housing Aging Chain & U Coflows (68 Variables) |
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Top | (View) Housing Aging Chain & U Coflows (68 Variables) | ||
Variable Name And Description | .housingagingchain v8 | #0 C |
Active Cohort Indicator (dmnl) Active Cohort Indicator[Cohort] = IF THEN ELSE(INTEGER(( Time- INITIAL TIME)/ Cohort Duration)+1= Cohort-ELMCOUNT( Preexisting Cohorts),1,0) Active Cohort Indicator[Preexisting Cohorts] = 0 Description: The model tracks housing by age, with a cohort representing all housing built between years t0 to t0+D, where t0 is the initial time and D is the width of each cohort (Cohort Duration). If Cohort Duration is 5 years, then the first cohort C1 accumulates all new housing built from t0 to t0+D, the second cohort, C2, accumulates all new housing built from t0+D to t0+2D, and the ith cohort accumulates all new housing built from t0 + iD to t0 + (i+1)D. Note that the INTEGER function rounds (t - t0)/D down, which requires adding 1 to activate the cohort with number corresponding to the value-if-true in the IF THEN ELSE function. Present In 1 View: Used By
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.housingagingchain v15 | #12 A |
Amoritized Subsidized Retrofit Cost (Dollar / (House * Year)) Amoritized Subsidized Retrofit Cost[Cohort,Heating and Cooling System] = Subsidized Retrofit Cost[ Cohort, Heating and Cooling System]/ Amoritization Period Description: The incurred total retrofit cost amoritized over the specified amoritization period. Present In 3 Views: Used By
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.housingagingchain v15 | #41 A |
Average Energy Costs for Retrofitting Home (Dollar / Year / House) Average Energy Costs for Retrofitting Home[Cohort,Heating and Cooling System] = Average Energy Cost[ Cohort, Heating and Cooling System,Open to Retrofitting] Description: Heating costs for each home open to retrofitting, annually, if no further retrofit measures are undertaken. Present In 2 Views: Used By
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.housingagingchain v8 | #42 A |
Average Energy Costs if Retrofitted (Dollar/(Year*House)) Average Energy Costs if Retrofitted[Cohort,Heating and Cooling System] = Optimal Energy Cost[ Cohort, Heating and Cooling System,Open to Retrofitting] Description: Energy costs per year for each retrofitting house if homes retrofit to the optimal U value. Present In 2 Views: Used By
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HeatPumpModel_v31 | #57 C |
Average Time To Consider Switching (Year ) = 15 Description: The average time it takes for a house to consider switching their heating and cooling system. Present In 2 Views: Used By
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.housingagingchain v18 | #65 L |
Code U (kBTU / (sf * Year * F)) = ∫- Decrease in Code U dt + Initial Code U Value Description: U of house that is built to standard code.For initial paper, assume that it's constant at a level in between average U and optimal U. Present In 2 Views: Used By
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.housingagingchain v8 | #66 C |
Cohort Duration (Year ) = 10 Description: The width (duration) of each cohort. Present In 2 Views: Used By
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HeatPumpModel_v31 | #88 C |
Demolition Hazard Rate (1 / Year ) = 0.01 Description: Proportion of homes demolished every year. Value is assumed to be equal across both retrofitting and non-retrofitting homes. Heuristically chosen so total housing stock grows at net 1%/year. Present In 1 View: Used By
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HeatPumpModel_v31 | #89 F,A |
Demolitions (House / Year) Demolitions[Cohort,Heating and Cooling System,Retrofitting Status] = Demolition Hazard Rate* Housing[ Cohort, Heating and Cooling System, Retrofitting Status]*(1- No Turnover Switch) Description: Homes that are destroyed every year. Present In 3 Views: Used By
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.housingagingchain v15 | #115 SM,A |
Expected Heating Energy Price (Dollar / kBTU) Expected Heating Energy Price[Heating and Cooling System] = SMOOTH3( Heating Energy Price[ Heating and Cooling System], Delay in Forming Expectations of Energy Price) Description: Energy price for one kBTU of heating used to calculate optimal U value. Third order exponential smoothing of heating energy price. Present In 6 Views:
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.housingagingchain v15 | #119 SM,A |
Expected MassSave Proportional Subsidy Rate for Retrofits (dmnl) = SMOOTH3( Implemented MassSave Subsidy Proportional Rate for Retrofits, Delay in Changing Subsidy Expectations)* Proportional Subsidy Switch for Retrofits Description: Expected proportional subsidy rate that lowers subsidized retrofit costs, taking into account information delays. Present In 4 Views:
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.housingagingchain v15 | #123 A |
Expected Subsidy for Retrofits (Dollar / House) Expected Subsidy for Retrofits[Cohort,Heating and Cooling System,Retrofitting Status] = IF THEN ELSE( Energy Savings[ Cohort, Heating and Cooling System]>= HOMES Cut Off for Savings, HOMES Expected Higher Subsidy, HOMES Expected Lower Lump Sum Subsidy)+ MassSave Expected Subsidy for Retrofits[ Cohort, Heating and Cooling System, Retrofitting Status]+ EEHIC Expected Subsidy for Retrofits[ Cohort, Heating and Cooling System, Retrofitting Status] Description: Total subsidy offered against retrofit cost across both lump sum and proportional subsidy. Present In 4 Views:
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.housingagingchain v5 testing | #128 C |
Fixed Cost (Dollar / House ) = 0 Description: Fixed cost of retrofitting, due to permitting, finding contractors, etc. This is not taken into account in the marginal cost of retrofitting, and this model assumes that households have not yet paid a fixed cost when deciding to retrofit. This cost only applies to existing housing.Set this equal to 0, because almost all costs for retrofits seem to be variable (except for permitting, which isn't usually used), and there's no data to suggest otherwise. Present In 2 Views: Used By
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.housingagingchain v5 testing | #127 A |
Fixed Cost per Unit Area (Dollar / sf) Fixed Cost per Unit Area[Cohort] = ZIDZ( Expected Fixed Cost, Average Area[ Cohort,Open to Retrofitting]) Description: The fixed cost (which is constant) per square foot for an average house that is open to retrofitting. Present In 2 Views: Used By
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.housingagingchain v5 testing | #130 A |
Fraction of Houses Switching (dmnl) Fraction of Houses Switching[Cohort,Heat Pump Heating and Cooling,Retrofitting Status,Heating and Cooling System] = Affinity of Heating and Cooling Systems[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]/SUM( Affinity of Heating and Cooling Systems[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System!]) Fraction of Houses Switching[Cohort,Gas Heating,Retrofitting Status,Heating and Cooling System] = Affinity of Heating and Cooling Systems[ Cohort, Gas Heating, Retrofitting Status, Heating and Cooling System]/SUM( Affinity of Heating and Cooling Systems[ Cohort, Gas Heating, Retrofitting Status, Heating and Cooling System!]) Fraction of Houses Switching[Cohort,Oil Heating,Retrofitting Status,Heating and Cooling System] = Affinity of Heating and Cooling Systems[ Cohort, Oil Heating, Retrofitting Status, Heating and Cooling System]/SUM( Affinity of Heating and Cooling Systems[ Cohort, Oil Heating, Retrofitting Status, Heating and Cooling System!]) Description: Fraction of houses considering switching switching from one to another. We also model "switching" from one system to the same system, as we keep track of total heat pump sales. Present In 2 Views: Used By
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.housingagingchain v5 testing | #143 A |
Heating Energy Price (Dollar / (kBTU)) Heating Energy Price[Heating and Cooling System] = Initial Heating Energy Price[ Heating and Cooling System]* Input 0 Description: The price to heat a home (which in this model we assume can only have one size) 1 kBTU, multiplied by the test input. Present In 6 Views:
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.housingagingchain v15 | #149 SM,A |
HOMES Expected Lower Lump Sum Subsidy (Dollar / House) = SMOOTH3( HOMES Implemented Lower Subsidy, Delay in Changing Subsidy Expectations) Description: Expected lump sum subsidy that lowers subsidized retrofit costs, taking into account information delays. Present In 3 Views: Used By
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HeatPumpModel_v31 | #156 A |
Houses Considering Switching System (Houses / Year) Houses Considering Switching System[Cohort,Heating and Cooling System,Retrofitting Status] = Housing[ Cohort, Heating and Cooling System, Retrofitting Status]/ Average Time To Consider Switching Description: The number of houses per year considering switching their heating and cooling system. Present In 1 View: Used By
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HeatPumpModel_v31 | #158 A |
Houses Retrofitting (Houses) Houses Retrofitting[Cohort,Heating and Cooling System] = Housing[ Cohort, Heating and Cooling System,Open to Retrofitting] Description: Total amount of houses retrofitting in each cohort and heating and cooling system. Present In 1 View: Used By |
HeatPumpModel_v31 | #160 F,A |
Houses Switching Sources (House / Year) Houses Switching Sources[Cohort,Heat Pump Heating and Cooling,Retrofitting Status,Heating and Cooling System] = Fraction of Houses Switching[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]* Houses Considering Switching System[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status]* System Switching SWITCH Houses Switching Sources[Cohort,Fossil Fuel Heating,Retrofitting Status,Heating and Cooling System] = Fraction of Houses Switching[ Cohort, Fossil Fuel Heating, Retrofitting Status, Heating and Cooling System]* Houses Considering Switching System[ Cohort, Fossil Fuel Heating, Retrofitting Status]* System Switching SWITCH Description: The number of houses switching Heating and Cooling Systems. The first heating and cooling system subscript is the system combination they're leaving, and the h & c system subscript is the combination they're entering. Present In 3 Views: Used By
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HeatPumpModel_v31 | #174 L |
Housing (House) Housing[Cohort,Heating and Cooling System,Not Open to Retrofitting] = ∫((( Housing Starts[ Cohort, Heating and Cooling System]- Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System])- Demolitions[ Cohort, Heating and Cooling System,Not Open to Retrofitting])+(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System!,Not Open to Retrofitting, Heating and Cooling System])))-(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System,Not Open to Retrofitting, Heating and Cooling System!])) dt + Initial Homes Not Retrofitting[ Cohort, Heating and Cooling System] Housing[Cohort,Heating and Cooling System,Open to Retrofitting] = ∫(( Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System]- Demolitions[ Cohort, Heating and Cooling System,Open to Retrofitting])+(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System!,Open to Retrofitting, Heating and Cooling System])))-(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System,Open to Retrofitting, Heating and Cooling System!])) dt + Initial Homes Retrofitting[ Cohort, Heating and Cooling System] Description: Houses, divided into those open to retrofitting (i.e., they will retrofit if their U is not equal to optimal) and those who are not. Present In 7 Views:
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HeatPumpModel_v31 | #161 A |
Housing by Cohort and Heating and Cooling System (Houses) Housing by Cohort and Heating and Cooling System[Cohort,Heating and Cooling System] = SUM( Housing[ Cohort, Heating and Cooling System, Retrofitting Status!]) Description: Housing by heating and cooling system and cohort, irrespective of retrofit status. Present In 2 Views: Used By
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HeatPumpModel_v31 | #166 C |
Housing Fractional Growth Rate (1 / Year ) = 0.02 Description: The annual growth rate in housing. Heuristically chosen so that total housing stock grows at net 1%/year. Present In 1 View: Used By
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HeatPumpModel_v31 | #173 F,A |
Housing Starts (Houses / Year) Housing Starts[Cohort,Heating and Cooling System] = Housing Fractional Growth Rate*SUM( Housing[ Cohort!, Heating and Cooling System, Retrofitting Status!])* Active Cohort Indicator[ Cohort]*(1- No Turnover Switch) Description: Homes being built. Assumed to be equal to the total number of homes times a constant fractional growth rate and only homes that are not open to retrofits will be built. Present In 3 Views: Used By
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HeatPumpModel_v31 | #167 A |
Housing Starts Across Cohorts () = SUM( Housing Starts In Each Cohort[ Cohort!]) Description: Housing starts across all cohorts. Present In 1 View: Used By |
HeatPumpModel_v31 | #169 A |
Housing Starts In Each Cohort (House / Year) Housing Starts In Each Cohort[Cohort] = SUM( Housing Starts[ Cohort, Heating and Cooling System!]) Description: Housing starts across heating and cooling systems. Present In 1 View: Used By
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.housingagingchain v18 | #181 F,A |
Increase in U Value from Housing Starts (House * kBTU / (Year * F * sf) / Year) Increase in U Value from Housing Starts[Cohort,Heating and Cooling System] = Housing Starts[ Cohort, Heating and Cooling System]* U Value of Housing Starts[ Cohort, Heating and Cooling System] Description: New U value from new homes being built. Present In 1 View: Used By
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HeatPumpModel_v31 | #182 A |
Indicated Fraction of Homes Retrofitting (dmnl) Indicated Fraction of Homes Retrofitting[Cohort,Heating and Cooling System] = Affinity of Retrofitting[ Cohort, Heating and Cooling System]/( Affinity of Retrofitting[ Cohort, Heating and Cooling System]+ Affinity of Not Retrofitting[ Cohort, Heating and Cooling System]) Description: Proportion of households which are open to retrofitting to the optimum U. This is not necessarily all households, because the optimal U does not take into account fixed costs in retrofit costs, and so for a portion (or all) of them, retrofit costs > energy savings, and so not all (or any) households will retrofit. This also does not indicate households which are actively retrofitting, because if average U is already equal to optimum U then houses which are open to retrofitting have already retrofitted. Present In 2 Views: Used By
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HeatPumpModel_v31 | #183 A |
Indicated Homes Retrofitting (House) Indicated Homes Retrofitting[Cohort,Heating and Cooling System] = Indicated Fraction of Homes Retrofitting[ Cohort, Heating and Cooling System]* Housing by Cohort and Heating and Cooling System[ Cohort, Heating and Cooling System] Description: Number of homes that, once delays are taken into account, will be open to retrofitting. Present In 2 Views: Used By
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HeatPumpModel_v31 | #187 C |
Initial Average U Value (kBTU/(Year*sf*F)) Initial Average U Value[Cohort] = 0.19235 Description: The initial average U, equal to the average U value of MA SFH in 2022, from EIA RECS. Present In 1 View: Used By
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HeatPumpModel_v31 | #190 C |
Initial Fraction of Homes Retrofitting (dmnl ) = 0.1 Description: Initial fraction of homes open to retrofitting. Heuristically chosen to be 0.1 to match low level of retrofitting that current occurs. Present In 1 View: Used By
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.housingagingchain v5 testing | #192 LI,A |
Initial Homes Not Retrofitting (House) Initial Homes Not Retrofitting[Cohort,Heating and Cooling System] = 0 Initial Homes Not Retrofitting[Preexisting Cohorts,Heating and Cooling System] = (1- Initial Fraction of Homes Retrofitting)* Initial Housing[ Preexisting Cohorts, Heating and Cooling System] Description: Initial homes not open to retrofitting. Present In 1 View: Used By
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.housingagingchain v5 testing | #193 LI,A |
Initial Homes Retrofitting (Houses) Initial Homes Retrofitting[Cohort,Heating and Cooling System] = 0 Initial Homes Retrofitting[Preexisting Cohorts,Heating and Cooling System] = Initial Fraction of Homes Retrofitting* Initial Housing[ Preexisting Cohorts, Heating and Cooling System] Description: Homes that are open to retrofitting initially. Present In 1 View: Used By
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HeatPumpModel_v31 | #195 C |
Initial Housing (House) Initial Housing[Cohort,Heating and Cooling System] = 2.2e+06 Description: The total number of houses that begin in each cohort and heating and cooling source. Taken from CIN file. Present In 1 View: Used By
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.housingagingchain v15 | #197 LI,A |
Initial U Value (House * kBTU / (Year * F * sf)) Initial U Value[Cohort,Heating and Cooling System,Retrofitting Status] = 0 Initial U Value[Preexisting Cohorts,Heating and Cooling System,Retrofitting Status] = Initial Average U Value[ Preexisting Cohorts]* Housing[ Preexisting Cohorts, Heating and Cooling System, Retrofitting Status] Description: Initial U value of cohorts; must be zero for cohorts not yet built. Present In 1 View: Used By
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.housingagingchain v15 | #214 C |
Mass Save Proportional Subsidy Rate for Retrofits (dmnl ) = 0.75 Description: Proportion of total retrofit cost that will be credited as part of a proportional subsidy. Theoretically, this can vary between current housing and housing under construction.Based off Mass Save data: https://www.masssave.com/en/residential/rebates-and-incentives/insulation-and-windows/insulation-and-air-sealing Present In 2 Views: Used By
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.housingagingchain v15 | #218 A |
MassSave Expected Subsidy for Retrofits (Dollar / House) MassSave Expected Subsidy for Retrofits[Cohort,Heating and Cooling System,Retrofitting Status] = MIN( Proportional Subsidy Switch for Retrofits* Expected MassSave Proportional Subsidy Rate for Retrofits* Unsubsidized Retrofit Cost Intensity[ Cohort, Heating and Cooling System]* Average Area[ Cohort, Retrofitting Status], Expected MassSave Maximum Subsidy for Retrofits) Description: The proportional subsidy offered against the retrofit cost intensity from MassSave, taking into account whether it has gone into effect. Present In 2 Views: Used By
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HeatPumpModel_v31 | #226 A |
Monthly Total Heat Pump Sales (Houses/ Month) = Total Heat Pump Sales/ Months per Year Description: The number of homes buying heat pumps, every year. Present In 1 View: Used By |
HeatPumpModel_v31 | #227 C |
Months per Year (Month / Year ) = 12 Description: The number of months per year. Present In 1 View: Used By
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HeatPumpModel_v31 | #233 F,A |
Net Change in Homes Retrofitting (Houses / Year) Net Change in Homes Retrofitting[Cohort,Heating and Cooling System] = ( Indicated Homes Retrofitting[ Cohort, Heating and Cooling System]- Housing[ Cohort, Heating and Cooling System,Open to Retrofitting])/ Time to Decide to Retrofit Description: Homes that are in the process of deciding to retrofit. Present In 3 Views: Used By
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HeatPumpModel_v31 | #234 F,A |
Net U Value Change from Retrofitting Home Shifts (House * kBTU / (Year * F * sf) / Year) Net U Value Change from Retrofitting Home Shifts[Cohort,Heating and Cooling System] = IF THEN ELSE( Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System]>0, U Value by Grouping[ Cohort, Heating and Cooling System,Not Open to Retrofitting]* Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System], U Value by Grouping[ Cohort, Heating and Cooling System,Open to Retrofitting]* Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System]) Description: Net change in U value due to homes becoming open or not to retrofitting. If net change is positive, then homes are going from not being open to retrofitting to being open, meaning non-retrofitting homes' U value is flowing into the retrofitting homes' U value. If net change is negative, then houses becoming less likely to retrofit. Present In 1 View: Used By
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HeatPumpModel_v31 | #235 C |
No Turnover Switch (dmnl ) = 0 Description: Switch for having no turnover in housing stock-- i.e., no housing demolitions or constructions. Present In 1 View: Used By
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.housingagingchain v18 | #253 A |
Optimal U for New Homes (kBTU / (sf * Year * F)) Optimal U for New Homes[Cohort,Heating and Cooling System] = (( Expected Reference Marginal Cost/( Marginal Cost Reductions from Retrofitting[ Cohort, Heating and Cooling System]/ Discount Rate))^(1/ Sensitivity of Marginal Cost to U Value))* Reference U Value*(1- Expected MassSave Proportional Subsidy Rate for Retrofits) Description: The optimal U for houses being built, taking into account energy savings and construction costs. Calculated in a similar manner to the optimal U for existing homes. Present In 2 Views: Used By
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.housingagingchain v4 testing | #254 A |
Optimal U Value for Existing Homes if no EEHIC Cap (kBTU / (sf * F * Year)) Optimal U Value for Existing Homes if no EEHIC Cap[Cohort,Heating and Cooling System] = Reference U Value*( Expected Reference Marginal Cost*(1- Expected MassSave Proportional Subsidy Rate for Retrofits)*(1- Expected EEHIC Proportional Subsidy Rate for Retrofits)/ Lifetime Marginal Cost Reductions from Retrofitting[ Cohort, Heating and Cooling System])^(1/ Sensitivity of Marginal Cost to U Value) Description: Optimal U Value to retrofit to should achieve if fixed costs are not taken into consideration (e.g., if fixed costs have already been paid) for existing houses). This takes into account the proportional subsidy but not the lump sum. Effect of proportional subsidies are multiplied instead of added, i.e., (1 - subsidy1)(1-subsidy2) instead of (1 - subsidy1 - subsidy2), because costs from state programs are subtracted when calculating federal subsidy in MA (https://www.masssave.com/inflation-reduction-act, "How do Mass Save rebates factor into the calculation of tax credits?")Expression is derived from the marginal energy savings from retrofitting being Energy Price and marginal cost of retrofitting being Reference MC * (1/(U/ Reference U))^Sensitivity and then solving for optimal retrofit when marginal savings equal marginal cost.This is the optimal U value if there were no cap on the Energy Efficiency Home Improvement Credit, i.e., no discontinuity the marginal cost curve. Present In 8 Views:
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HeatPumpModel_v31 | #263 A |
Perceived Cost of Retrofitting (Dollar / (House * Year)) Perceived Cost of Retrofitting[Cohort,Heating and Cooling System] = (1- Weight on Upfront Cost)* Total Cost of Ownership of Retrofitted Homes[ Cohort, Heating and Cooling System]+ Weight on Upfront Cost* Amoritized Subsidized Retrofit Cost[ Cohort, Heating and Cooling System] Description: Homeowners' perceived costs (or negation of their utility) for retrofitting their home, taking into account higher costs have less utilty and homeowners weigh upfront retrofit costs higher. Present In 2 Views: Used By
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.housingagingchain v15 | #271 C |
Proportional MassSave Subsidy Implementation Year for Retrofits (Year ) = 2020 Description: Time at which the proportional subsidy will take effect. Present In 2 Views: Used By
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.housingagingchain v5 testing | #283 C |
Reference Marginal Cost (Dollar / sf / (kBTU / (sf * Year * F)) ) = 12.88 Description: The marginal cost of retrofitting at the reference EUI. In particular, the marginal cost of retrofitting at some EUI is Reference U *( (Reference U / U) ^ Sensitivity )This was calculated by setting sensitivity of marginal cost equal to 1.25, and finding the MC where a 31% reduction in U value from the reference costs a total of 4.95 / (1 - 0.21) dollars per square foot. The sensitivity value is explained in the sensitivity variable. Less et al. (2021, pg. 17-18) note that in their project database, the median cost per square foot for retrofits after subsidies was $4.95, while subsidies accounted for 21% of the total project cost for the median project. The median cost reduced energy use by 28% - 33% (of which I took the average), and I use the lower bound value to account for the fact that energy savings may occur not only due to increase in U value.Obviously all of this is extraordinarily rough.Less et al. (2021): https://eta-publications.lbl.gov/sites/default/files/final_walker_-_the_cost_of_decarbonization_and_energy.pdf Present In 2 Views: Used By
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HeatPumpModel_v31 | #284 C |
Reference Retrofit Cost (Dollar / (House * Year) ) = 8740 Description: Perceived cost of home heating to which households compare the perceived cost of retrofitting to when deciding to retrofit.Taken from average retrofit cost in Less et al. (2021)'s dataset, shown on page 17: https://eta-publications.lbl.gov/sites/default/files/final_walker_-_the_cost_of_decarbonization_and_energy.pdf Present In 2 Views: Used By
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HeatPumpModel_v31 | #286 C |
Retrofit Delay (Year ) = 2 Description: Time to retrofit. Assumed to be on average six months. Present In 2 Views: Used By
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HeatPumpModel_v31 | #288 F,A |
Retrofitting (House * kBTU / (sf * F* Year) / Year) Retrofitting[Cohort,Heating and Cooling System] = MAX(0, Housing[ Cohort, Heating and Cooling System,Open to Retrofitting]*( U Value by Grouping[ Cohort, Heating and Cooling System,Open to Retrofitting]- Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System])/ Retrofit Delay) Description: Energy use retrofitted away. If positive, this means that energy use is being retrofitted away. Present In 1 View: Used By
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HeatPumpModel_v31 | #287 A |
Retrofitting Across Cohorts and Systems (House * kBTU / ( Year * Year * sf * F)) = SUM( Retrofitting[ Cohort!, Heating and Cooling System!]) Description: The total amount of retrofits across all cohorts and heating/cooling systems. Present In 1 View: Used By |
.housingagingchain v5 testing | #291 C |
Sensitivity of Marginal Cost to U Value (dmnl ) = 3.25 Description: Measures the sensitivity of marginal retrofit costs as a function of optimal U value. In particular, marginal Retrofit Cost is equal to Constant * (U Value retrofitted away ^ Convexity). This must be greater than 1.This is taken from pg. 69 of Caswell (2022), where she calculates the total retrofit cost curve as a function of percent savings as having an exponent of 2.25. Because this is the total retrofit cost curve, the exponent for the marginal cost is -2.25 - 1. Because percent savings is inversely proportional to U, the exponent in the total cost curve will be the negation of 2.25, which is ensured in the marginal cost curve formulation in other variables. Present In 4 Views:
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HeatPumpModel_v31 | #292 C |
Sensitivity of Retrofits to Cost (dmnl ) = 10 Description: Sensitivity of affinity (and fraction of houses retrofitting) to NPV of retrofitting. Present In 2 Views: Used By
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HeatPumpModel_v31 | #305 C |
System Switching SWITCH (dmnl ) = 1 Description: Switch for allowing houses to switch heating and cooling systems. If 1, they can switch. Present In 1 View: Used By
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HeatPumpModel_v31 | #307 C |
Time to Decide to Retrofit (Year ) = 3 Description: Time to decide to retrofit. Present In 1 View: Used By
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HeatPumpModel_v31 | #313 A |
Total Cost of Ownership of Average Home (Dollar / (Year * House)) Total Cost of Ownership of Average Home[Cohort,Heating and Cooling System] = Average Energy Costs for Retrofitting Home[ Cohort, Heating and Cooling System] Description: Total cost of ownership of a house without any further retrofit costs, i.e., at current energy use. Equivalent to energy costs because no retrofit costs are incurred. Present In 2 Views: Used By
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HeatPumpModel_v31 | #316 A |
Total Heat Pump Sales (House / Year) = SUM( Houses Switching Sources[ Cohort!, Heating and Cooling System!, Retrofitting Status!,Heat Pump Only]+ Houses Switching Sources[ Cohort!, Heating and Cooling System!, Retrofitting Status!,Heat Pump and Gas]+ Houses Switching Sources[ Cohort!, Heating and Cooling System!, Retrofitting Status!,Heat Pump and Oil]) Description: Number of houses buying heat pumps every year. Present In 3 Views: Used By
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HeatPumpModel_v31 | #321 C |
Total Initial Homes (Houses ) = 20 Description: Total number of houses, including those retrofitting or not. Number taken from Census's list of households in MA in 2022: https://www.census.gov/quickfacts/fact/table/MA/PST045222 Present In 1 View: Used By |
HeatPumpModel_v31 | #327 L |
Total U Value (House * kBTU / (Year * F * sf) ) Total U Value[Cohort,Heating and Cooling System,Not Open to Retrofitting] = ∫((( Increase in U Value from Housing Starts[ Cohort, Heating and Cooling System]- Net U Value Change from Retrofitting Home Shifts[ Cohort, Heating and Cooling System])- U Value Loss from Demolition[ Cohort, Heating and Cooling System,Not Open to Retrofitting])+(SUM( U Value Shift from Source Switching[ Cohort, Heating and Cooling System!, Heating and Cooling System,Not Open to Retrofitting])))-(SUM( U Value Shift from Source Switching[ Cohort, Heating and Cooling System, Heating and Cooling System!,Not Open to Retrofitting])) dt + Initial U Value[ Cohort, Heating and Cooling System,Not Open to Retrofitting] Total U Value[Cohort,Heating and Cooling System,Open to Retrofitting] = ∫((( Net U Value Change from Retrofitting Home Shifts[ Cohort, Heating and Cooling System]- U Value Loss from Demolition[ Cohort, Heating and Cooling System,Open to Retrofitting])+(SUM( U Value Shift from Source Switching[ Cohort, Heating and Cooling System!, Heating and Cooling System,Open to Retrofitting])))-(SUM( U Value Shift from Source Switching[ Cohort, Heating and Cooling System, Heating and Cooling System!,Open to Retrofitting])))- Retrofitting[ Cohort, Heating and Cooling System] dt + Initial U Value[ Cohort, Heating and Cooling System,Open to Retrofitting] Description: Total U-value of homes. Note that that is not a physical quantity, as the U-value of individual homes is not additive. Present In 2 Views: Used By
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HeatPumpModel_v31 | #329 A |
U Value by Grouping (kBTU / (sf * F * Year)) U Value by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = IF THEN ELSE( Housing[ Cohort, Heating and Cooling System, Retrofitting Status]>1e-12, Total U Value[ Cohort, Heating and Cooling System, Retrofitting Status]/ Housing[ Cohort, Heating and Cooling System, Retrofitting Status],0) Description: The average U value in each home by cohort, heating/cooling system, etc. Present In 8 Views:
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HeatPumpModel_v31 | #331 F,A |
U Value Loss from Demolition (House * kBTU / (Year * F * sf) / Year) U Value Loss from Demolition[Cohort,Heating and Cooling System,Retrofitting Status] = U Value by Grouping[ Cohort, Heating and Cooling System, Retrofitting Status]* Demolitions[ Cohort, Heating and Cooling System, Retrofitting Status] Description: Homes' total energy use decrease from those homes being demolished. Present In 1 View: Used By
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.housingagingchain v18 | #332 A |
U Value of Housing Starts (kBTU / (Year * F * sf)) U Value of Housing Starts[Cohort,Heating and Cooling System] = IF THEN ELSE( Additional Cost of Building to U Value[ Cohort, Heating and Cooling System]<0:AND: Optimal U for New Homes[ Cohort, Heating and Cooling System]< Code U, Optimal U for New Homes[ Cohort, Heating and Cooling System], Code U) Description: Equal to optimal U Value if it is lower than code U value and it is cheaper to build to lower U value. Otherwise, developers just build to code. Present In 2 Views: Used By
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HeatPumpModel_v31 | #334 L |
U Value Retrofitted Away (House * kBTU / (Year * F * sf)) = ∫SUM( Retrofitting[ Cohort!, Heating and Cooling System!]) dt + 0.0 Description: Total amount of U value that has been retrofitted away. Present In 1 View: Used By |
HeatPumpModel_v31 | #335 F,A |
U Value Shift from Source Switching (House * kBTU / (Year * F * sf) / Year) U Value Shift from Source Switching[Cohort,Heat Pump Heating and Cooling,Heating and Cooling System,Retrofitting Status] = Houses Switching Sources[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]* U Value by Grouping[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status] U Value Shift from Source Switching[Cohort,Fossil Fuel Heating,Heating and Cooling System,Retrofitting Status] = Houses Switching Sources[ Cohort, Fossil Fuel Heating, Retrofitting Status, Heating and Cooling System]* U Value by Grouping[ Cohort, Fossil Fuel Heating, Retrofitting Status] Description: The shift in total U value coming from switching sources. Present In 2 Views: Used By
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.housingagingchain v8 | #339 A |
Unsubsidized Retrofit Cost (Dollar / House) Unsubsidized Retrofit Cost[Cohort,Heating and Cooling System] = Unsubsidized Retrofit Cost Intensity[ Cohort, Heating and Cooling System]* Average Area[ Cohort,Open to Retrofitting] Description: Total retrofit cost without taking into account subsidies. Present In 4 Views:
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.housingagingchain v5 testing | #338 A |
Unsubsidized Retrofit Cost Intensity (Dollar / sf) Unsubsidized Retrofit Cost Intensity[Cohort,Heating and Cooling System] = MAX(IF THEN ELSE( U Value of Retrofitting Homes[ Cohort, Heating and Cooling System]>1e-06,( Expected Reference Marginal Cost* Reference U Value/(- Sensitivity of Marginal Cost to U Value+1))*((( Reference U Value/ U Value of Retrofitting Homes[ Cohort, Heating and Cooling System])^ Sensitivity of Marginal Cost to U Value-1)-(( Reference U Value/ Optimal U Value for Existing Homes[ Cohort, Heating and Cooling System])^( Sensitivity of Marginal Cost to U Value-1)))+ Fixed Cost per Unit Area[ Cohort],0),0) Description: Total cost of retrofit per square foot when the marginally optimal amount of U value is retrofitted away.Calculated as definite integral of marginal cost of retrofitting, which, at a given U, is Reference MC * (Ref. U / U Value) ^ Sensitivity. The total retrofit function is then found by taking the finite integral of the marginal cost function from the indicated optimal U value to the original U value and adding the fixed cost. This cost can be theoretically negative, but if so no retrofitting will take place as the retrofitting outflow is nonnegative.The "if" statement ensures there are no retrofit costs when there are no houses in a cohort. U value must be greater than 1e-6 as this is the threshold for ZIDZ used in calculating average U. Present In 4 Views:
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HeatPumpModel_v31 | #340 C |
Weight on Upfront Cost (dmnl ) = 0.5 Description: How much homeowners weigh upfront (amoritized) costs of retrofits as opposed to the total cost of ownership due to being more perceptive of short-term costs. Present In 2 Views: Used By
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.Control | #196 C |
INITIAL TIME (Year) = 2020 Description: The initial time for the simulation. Present In 3 Views: Used By
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(View) Input Test (59 Variables) |
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Top | (View) Input Test (59 Variables) | ||
Variable Name And Description | .housingagingchain v8 | #24 L |
Autocorrelated Noise (Dimensionless) = ∫ Change in AC Noise dt + 0.0 Description: First-order autocorrelated noise. Provides a realistic noise input to models in which the next random shock depends in part on the previous shocks. The user can specify the correlation time. The mean is 0 and the standard deviation is specifiedby the user. Present In 1 View: Used By
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.housingagingchain v8 | #22 L |
Autocorrelated Noise 0 (Dimensionless) = ∫ Change in AC Noise 0 dt + 0.0 Description: First-order autocorrelated noise. Provides a realistic noise input to models in which the next random shock depends in part on the previous shocks. The user can specify the correlation time. The mean is 0 and the standard deviation is specifiedby the user. Present In 1 View: Used By
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HeatPumpModel_v31 | #23 L |
Autocorrelated Noise 1 (Dimensionless) = ∫ Change in AC Noise 1 dt + 0.0 Description: First-order autocorrelated noise. Provides a realistic noise input to models in which the next random shock depends in part on the previous shocks. The user can specify the correlation time. The mean is 0 and the standard deviation is specifiedby the user. Present In 1 View: Used By
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.housingagingchain v8 | #64 F,A |
Change in AC Noise (1/Year) = ( White Noise- Autocorrelated Noise)/ Noise Correlation Time Description: Change in the pink noise value; Pink noise is a first order exponential smoothing delay of the whitenoise input. Present In 1 View: Used By
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.housingagingchain v8 | #62 F,A |
Change in AC Noise 0 (1/Year) = ( White Noise 0- Autocorrelated Noise 0)/ Noise Correlation Time 0 Description: Change in the pink noise value; Pink noise is a first order exponential smoothing delay of the whitenoise input. Present In 1 View: Used By
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HeatPumpModel_v31 | #63 F,A |
Change in AC Noise 1 (1/Year) = ( White Noise 1- Autocorrelated Noise 1)/ Noise Correlation Time 1 Description: Change in the pink noise value; Pink noise is a first order exponential smoothing delay of the whitenoise input. Present In 1 View: Used By
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HeatPumpModel_v31 | #70 A |
Cooling Energy Price (Dollar / kBTU) = Initial Cooling Energy Price* Input 1 Description: Price of cooling a home (through air conditioning), subject to the test input. Present In 3 Views: Used By
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HeatPumpModel_v31 | #69 C |
Cooling Energy Price Step Height 1 (Dimensionless ) = 0 Description: Height of step input to customer orders, as fraction of initial value. Present In 1 View: Used By
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.housingagingchain v8 | #100 C |
Energy Price Exponential Growth Rate (1/Year ) = 0 Description: The exogenous growth fraction for the test input. Present In 1 View: Used By
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HeatPumpModel_v31 | #99 C |
Energy Price Exponential Growth Rate 1 (1/Year ) = 0 Description: The exogenous growth fraction for the test input. Present In 1 View: Used By
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.housingagingchain v8 | #102 C |
Energy Price Pulse Quantity (Dimensionless*Year) = 0 Description: The quantity to be injected to customer orders, as a fraction of the base value of Input.For example, to pulse in a quantity equal to 50% of the current value of input, set to.50. Present In 1 View: Used By
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HeatPumpModel_v31 | #101 C |
Energy Price Pulse Quantity 1 (Dimensionless*Year) = 0 Description: Pulse value, as a fraction of the base value of Input.For example, to pulse in a quantity equal to 50% of the current value of input, set to.50. Present In 1 View: Used By
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.housingagingchain v8 | #104 C |
Energy Price Ramp Slope (1/Year ) = 0 Description: Slope of the ramp input, as a fraction of the base value (per week). Present In 1 View: Used By
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HeatPumpModel_v31 | #103 C |
Energy Price Ramp Slope 1 (1/Year ) = 0 Description: Slope of the ramp input, as a fraction of the base value (per week). Present In 1 View: Used By
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.housingagingchain v8 | #105 C |
Energy Price Step Height (Dimensionless ) = 0 Description: Height of step input to customer orders, as fraction of initial value. Present In 1 View: Used By
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.housingagingchain v5 testing | #143 A |
Heating Energy Price (Dollar / (kBTU)) Heating Energy Price[Heating and Cooling System] = Initial Heating Energy Price[ Heating and Cooling System]* Input 0 Description: The price to heat a home (which in this model we assume can only have one size) 1 kBTU, multiplied by the test input. Present In 6 Views:
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.housingagingchain v8 | #168 C |
Housing Starts Exponential Growth Rate (1/Year ) = 0 Description: The exogenous growth fraction for the test input. Present In 1 View: Used By
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.housingagingchain v8 | #170 C |
Housing Starts Pulse Quantity (Dimensionless*Year) = 0 Description: The quantity to be injected to customer orders, as a fraction of the base value of Input.For example, to pulse in a quantity equal to 50% of the current value of input, set to.50. Present In 1 View: Used By
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.housingagingchain v8 | #171 C |
Housing Starts Ramp Slope (1/Year ) = 0 Description: Slope of the ramp input, as a fraction of the base value (per week). Present In 1 View: Used By
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.housingagingchain v8 | #172 C |
Housing Starts Step Height (Dimensionless ) = 0 Description: Height of step input to customer orders, as fraction of initial value. Present In 1 View: Used By
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HeatPumpModel_v31 | #189 C |
Initial Cooling Energy Price (Dollar / kBTU) = 0.062 Description: The price to cool a home per BTU. This is the price of electricity as all cooling systems, as air conditioning systems, use electricity. Present In 1 View: Used By
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.housingagingchain v5 testing | #191 C |
Initial Heating Energy Price (Dollar / (kBTU)) Initial Heating Energy Price[Heat Pump Heating and Cooling] = 0.062 Initial Heating Energy Price[Gas Heating] = 0.0142 Initial Heating Energy Price[Oil Heating] = 0.017 Description: Price of energy used in each technology: heat pump, central AC, window AC, no AC, gas, and oil. For heat pumps and air conditioners, this is electricity.Data from (using annual 2020 data for MA):electricity: https://www.eia.gov/electricity/data/browser/#/topic/7?agg=1,0&geo=vvvvvvvvvvvvo&endsec=8&freq=M&start=200101&ctype=linechart<ype=pin&rtype=s&pin=&rse=0&maptype=0,natural gas:https://www.eia.gov/dnav/ng/ng_pri_sum_a_EPG0_PRS_DMcf_a.htmheating oil: https://www.eia.gov/petroleum/heatingoilpropane/ Present In 1 View: Used By
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. | #194 A |
Initial Housing Starts (House/Year) Initial Housing Starts[Heating and Cooling System] = Total Initial Housing Starts/ELMCOUNT( Heating and Cooling System) Description: Initial value of housing starts, initialized at 10 total houses. Present In 1 View: Used By |
.housingagingchain v8 | #200 A |
Input (Dimensionless) = 1+STEP( Housing Starts Step Height, INITIAL TIME+ Step Time)+( Housing Starts Pulse Quantity/ TIME STEP)*PULSE( INITIAL TIME+ Pulse Time, TIME STEP)+RAMP( Housing Starts Ramp Slope, INITIAL TIME+ Ramp Start Time, INITIAL TIME+ Ramp End Time)+(STEP(1, INITIAL TIME)*(exp( Housing Starts Exponential Growth Rate*( Time- INITIAL TIME))-1))+ Sine Amplitude*SIN(2*3.14159*( Time- INITIAL TIME)/ Sine Period)+STEP(1, INITIAL TIME+ Noise Start Time)* Autocorrelated Noise Description: Input is a dimensionless variable which provides a variety of test input patterns, including a step,pulse, sine wave, and random noise. Present In 1 View: Used By |
.housingagingchain v8 | #198 A |
Input 0 (Dimensionless) = 1+STEP( Energy Price Step Height, INITIAL TIME+ Step Time 0)+( Energy Price Pulse Quantity/ TIME STEP)*PULSE( INITIAL TIME+ Pulse Time 0, TIME STEP)+RAMP( Energy Price Ramp Slope, INITIAL TIME+ Ramp Start Time 0, INITIAL TIME+ Ramp End Time 0)+(STEP(1, INITIAL TIME)*(exp( Energy Price Exponential Growth Rate*( Time- INITIAL TIME))-1))+ Sine Amplitude 0*SIN(2*3.14159*( Time- INITIAL TIME)/ Sine Period 0)+STEP(1, INITIAL TIME+ Noise Start Time 0)* Autocorrelated Noise 0 Description: Input is a dimensionless variable which provides a variety of test input patterns, including a step,pulse, sine wave, and random noise. Present In 1 View: Used By
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HeatPumpModel_v31 | #199 A |
Input 1 (Dimensionless) = 1+STEP( Cooling Energy Price Step Height 1, INITIAL TIME+ Step Time 1)+( Energy Price Pulse Quantity 1/ TIME STEP)*PULSE( INITIAL TIME+ Pulse Time 1, TIME STEP)+RAMP( Energy Price Ramp Slope 1, INITIAL TIME+ Ramp Start Time 1, INITIAL TIME+ Ramp End Time 1)+(STEP(1, INITIAL TIME)*(exp( Energy Price Exponential Growth Rate 1*( Time- INITIAL TIME))-1))+ Sine Amplitude 1*SIN(2*3.14159*( Time- INITIAL TIME)/ Sine Period 1)+STEP(1, INITIAL TIME+ Noise Start Time 1)* Autocorrelated Noise 1 Description: Input is a dimensionless variable which provides a variety of test input patterns, including a step,pulse, sine wave, and random noise. Present In 1 View: Used By
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.housingagingchain v8 | #238 C |
Noise Correlation Time (Year) = 4 Description: The correlation time constant for Pink Noise. Present In 1 View: Used By
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.housingagingchain v8 | #236 C |
Noise Correlation Time 0 (Year) = 4 Description: The correlation time constant for Pink Noise. Present In 1 View: Used By
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HeatPumpModel_v31 | #237 C |
Noise Correlation Time 1 (Year) = 4 Description: The correlation time constant for Pink Noise. Present In 1 View: Used By
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.housingagingchain v8 | #241 C |
Noise Standard Deviation (Dimensionless) = 0 Description: The standard deviation of the pink noise process. Present In 1 View: Used By
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.housingagingchain v8 | #239 C |
Noise Standard Deviation 0 (Dimensionless) = 0 Description: The standard deviation of the pink noise process. Present In 1 View: Used By
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HeatPumpModel_v31 | #240 C |
Noise Standard Deviation 1 (Dimensionless) = 0 Description: The standard deviation of the pink noise process. Present In 1 View: Used By
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.housingagingchain v8 | #244 C |
Noise Start Time (Year) = 5 Description: Start time for the random input. Present In 1 View: Used By
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.housingagingchain v8 | #242 C |
Noise Start Time 0 (Year) = 5 Description: Start time for the random input. Present In 1 View: Used By
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HeatPumpModel_v31 | #243 C |
Noise Start Time 1 (Year) = 5 Description: Start time for the random input. Present In 1 View: Used By
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.housingagingchain v8 | #275 C |
Pulse Time (Year) = 5 Description: Time at which the pulse in Input occurs. Present In 1 View: Used By
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.housingagingchain v8 | #273 C |
Pulse Time 0 (Year) = 5 Description: Time at which the pulse in Input occurs. Present In 1 View: Used By
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HeatPumpModel_v31 | #274 C |
Pulse Time 1 (Year) = 5 Description: Time at which the pulse in Input occurs. Present In 1 View: Used By
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.housingagingchain v8 | #278 C |
Ramp End Time (Year) = 1e+09 Description: End time for the ramp input. Present In 1 View: Used By
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.housingagingchain v8 | #276 C |
Ramp End Time 0 (Year) = 1e+09 Description: End time for the ramp input. Present In 1 View: Used By
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HeatPumpModel_v31 | #277 C |
Ramp End Time 1 (Year) = 1e+09 Description: End time for the ramp input. Present In 1 View: Used By
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.housingagingchain v8 | #281 C |
Ramp Start Time (Year) = 5 Description: Start time for the ramp input. Present In 1 View: Used By
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.housingagingchain v8 | #279 C |
Ramp Start Time 0 (Year) = 5 Description: Start time for the ramp input. Present In 1 View: Used By
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HeatPumpModel_v31 | #280 C |
Ramp Start Time 1 (Year) = 5 Description: Start time for the ramp input. Present In 1 View: Used By
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.housingagingchain v8 | #295 C |
Sine Amplitude (Dimensionless) = 0 Description: Amplitude of sine wave in customer orders (fraction of mean). Present In 1 View: Used By
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.housingagingchain v8 | #293 C |
Sine Amplitude 0 (Dimensionless) = 0 Description: Amplitude of sine wave in customer orders (fraction of mean). Present In 1 View: Used By
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HeatPumpModel_v31 | #294 C |
Sine Amplitude 1 (Dimensionless) = 0 Description: Amplitude of sine wave in customer orders (fraction of mean). Present In 1 View: Used By
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.housingagingchain v8 | #298 C |
Sine Period (Year) = 50 Description: Period of sine wave in customer demand. Set initially to 50 weeks (1 year). Present In 1 View: Used By
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.housingagingchain v8 | #296 C |
Sine Period 0 (Year) = 50 Description: Period of sine wave in customer demand. Set initially to 50 weeks (1 year). Present In 1 View: Used By
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HeatPumpModel_v31 | #297 C |
Sine Period 1 (Year) = 50 Description: Period of sine wave. Set initially to 50 weeks (1 year). Present In 1 View: Used By
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.housingagingchain v8 | #302 C |
Step Time (Year) = 5 Description: Time for the step input. Present In 1 View: Used By
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.housingagingchain v8 | #300 C |
Step Time 0 (Year) = 5 Description: Time for the step input. Present In 1 View: Used By
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HeatPumpModel_v31 | #301 C |
Step Time 1 (Year) = 5 Description: Time for the step input. Present In 1 View: Used By
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HeatPumpModel_v31 | #322 C |
Total Initial Housing Starts (Houses / Year ) = 0.5 Description: Total number of houses that are built per year, across all systems. Present In 1 View: Used By
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.housingagingchain v8 | #343 A |
White Noise (Dimensionless) = Noise Standard Deviation*((24* Noise Correlation Time/ TIME STEP)^0.5*(RANDOM 0 1()-0.5)) Description: White noise input to the pink noise process. Present In 1 View: Used By
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.housingagingchain v8 | #341 A |
White Noise 0 (Dimensionless) = Noise Standard Deviation 0*((24* Noise Correlation Time 0/ TIME STEP)^0.5*(RANDOM 0 1()-0.5)) Description: White noise input to the pink noise process. Present In 1 View: Used By
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HeatPumpModel_v31 | #342 A |
White Noise 1 (Dimensionless) = Noise Standard Deviation 1*((24* Noise Correlation Time 1/ TIME STEP)^0.5*(RANDOM 0 1()-0.5)) Description: White noise input to the pink noise process. Present In 1 View: Used By
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.Control | #196 C |
INITIAL TIME (Year) = 2020 Description: The initial time for the simulation. Present In 3 Views: Used By
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.Control | #306 C |
TIME STEP (Year ) = 0.03125 Description: The time step for the simulation. Present In 1 View: Used By
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(View) Optimal U & Retrofit Costs (42 Variables) |
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Top | (View) Optimal U & Retrofit Costs (42 Variables) | ||
Variable Name And Description | HeatPumpModel_v31 | #11 C |
Amoritization Period (Year ) = 20 Description: Time period over which incurred retrofit cost is amoritized; should be related to lifetime of a home. Present In 1 View: Used By
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.housingagingchain v15 | #12 A |
Amoritized Subsidized Retrofit Cost (Dollar / (House * Year)) Amoritized Subsidized Retrofit Cost[Cohort,Heating and Cooling System] = Subsidized Retrofit Cost[ Cohort, Heating and Cooling System]/ Amoritization Period Description: The incurred total retrofit cost amoritized over the specified amoritization period. Present In 3 Views: Used By
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HeatPumpModel_v31 | #29 A |
Average Area (sf / House) Average Area[Cohort,Retrofitting Status] = ZIDZ( Area[ Cohort, Retrofitting Status], Housing by Cohort and Retrofitting Status[ Cohort, Retrofitting Status]) Description: Average area by cohort and retrofitting status (assume it's the same across heating and cooling systems). Present In 7 Views:
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HeatPumpModel_v31 | #52 C |
Average Income (Dollar / Hour / House ) = 55 Description: The average income of single family homeowners in Massachusetts. Calculated from 2020 EIA RECS data for MA SFH, where each individual was assigned the average income of their reported income bracket, other than those making more than $150K/year, who were assigned $175,000. Hourly wage calculated by assuming working 8 hours a day, 5 days a week, for 50 weeks in a year. Present In 1 View: Used By
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HeatPumpModel_v31 | #53 A |
Average Indicated Fraction of Homes Retrofitting (dmnl) = SUM( Indicated Homes Retrofitting[ Cohort!, Heating and Cooling System!])/ Total Housing Stock Description: The average fraction of homes that will retrofit retrofitting after decision delayacross all housing. Present In 2 Views: Used By |
HeatPumpModel_v31 | #56 A |
Average Subsidized Retrofit Cost (Dollar / House) = SUM( Housing[ Cohort!, Heating and Cooling System!,Open to Retrofitting]* Subsidized Retrofit Cost[ Cohort!, Heating and Cooling System!])/SUM( Housing[ Cohort!, Heating and Cooling System!,Open to Retrofitting]) Description: The average subsidized retrofit cost across all houses. Present In 1 View: Used By |
HeatPumpModel_v31 | #67 C |
Cooling Degree Days (F ) = 1029 Description: The difference between temperature setpoint (65 F) and outside temperature for heating. Typically called cooling degree days, but units are solely in terms of fahrenheit.Data from degreedays.net, using the weather station for Norwood Memorial Airport, the closest weather station to the center of MA's population, Natick. Use set point of 65°F, in line with industry standard, as at that temperature little heating or cooling is necessary. Present In 3 Views: Used By
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HeatPumpModel_v31 | #72 A |
Cooling System Efficiency (dmnl) Cooling System Efficiency[Heat Pump Heating and Cooling] = Heat Pump Cooling COP TABLE( Time) Cooling System Efficiency[Central AC Cooling] = 2.93 Cooling System Efficiency[Window AC Cooling] = 2.49* Effect of Air Leakage from Window AC on Efficiency Cooling System Efficiency[No AC Cooling] = NAREPLACEMENT Description: The COP of different air conditioning technologies on an average day. This is not in terms of energy efficiency rating or seasonal efficiency rating, although some are calculated from those figures.For central ac: assume value of tenFor window AC (under portable AC): https://learnmetrics.com/eer-rating/All are very rough, and non-heat pump cooling systems are assumed to have constant efficiency. Present In 4 Views: Used By
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HeatPumpModel_v31 | #90 C |
Discount Rate (1 / Year ) = 0.05 Description: Discount rate for discounting energy savings cash flows.Average and bounds from demand-side discount rate from MassDEP's analysis of pathways for net zero (pg. 103): https://www.mass.gov/doc/energy-pathways-for-deep-decarbonization-report/downloadhttps://www.mass.gov/doc/energy-pathways-for-deep-decarbonization-report/download Present In 4 Views: Used By
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HeatPumpModel_v31 | #94 C |
EEHIC Subsidy for Retrofits Final Year (Year) = 2033 Description: The year in which the EEHIC is phased out. If final time, then has no ending data.Source: https://www.irs.gov/credits-deductions/energy-efficient-home-improvement-credit Present In 2 Views: Used By
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HeatPumpModel_v31 | #111 SM,A |
Expected Cooling Energy Price (Dollar / kBTU) = SMOOTH3( Cooling Energy Price, Delay in Forming Expectations of Energy Price) Description: Energy price for one kBTU of cooling used to calculate optimal U value. Third order exponential smoothing of cooling energy price. Present In 4 Views: Used By
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HeatPumpModel_v31 | #112 SM,A |
Expected EEHIC Maximum Subsidy for Retrofits (Dollar / House) = SMOOTH3( Implemented EEHIC Maximum Subsidy for Retrofits, Delay in Changing Subsidy Expectations) Description: Expected maximum proportional subsidy that lowers subsidized retrofit costs from the Energy Efficiency Home Improvement Credit, taking into account information delays. Present In 2 Views: Used By
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HeatPumpModel_v31 | #113 SM,A |
Expected EEHIC Proportional Subsidy Rate for Retrofits (dmnl) = SMOOTH3( Implemented EEHIC Subsidy Proportional Rate for Retrofits, Delay in Changing Subsidy Expectations)* Proportional Subsidy Switch for Retrofits Description: Expected proportional subsidy rate that lowers subsidized retrofit costs, taking into account information delays. Present In 2 Views: Used By
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.housingagingchain v15 | #114 SM,A |
Expected Fixed Cost (Dollar / House) = SMOOTH( Fixed Cost, Delay in Forming Expectations of Retrofit Costs) Description: Fixed cost used in calculating optimal EUI. Third order exponential smoothing of fixed cost. Present In 2 Views: Used By
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.housingagingchain v15 | #115 SM,A |
Expected Heating Energy Price (Dollar / kBTU) Expected Heating Energy Price[Heating and Cooling System] = SMOOTH3( Heating Energy Price[ Heating and Cooling System], Delay in Forming Expectations of Energy Price) Description: Energy price for one kBTU of heating used to calculate optimal U value. Third order exponential smoothing of heating energy price. Present In 6 Views:
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.housingagingchain v15 | #119 SM,A |
Expected MassSave Proportional Subsidy Rate for Retrofits (dmnl) = SMOOTH3( Implemented MassSave Subsidy Proportional Rate for Retrofits, Delay in Changing Subsidy Expectations)* Proportional Subsidy Switch for Retrofits Description: Expected proportional subsidy rate that lowers subsidized retrofit costs, taking into account information delays. Present In 4 Views:
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.housingagingchain v15 | #121 SM,A |
Expected Reference Marginal Cost ((Dollar / sf) / (kBTU / (sf * Year * F))) = SMOOTH( Reference Marginal Cost, Delay in Forming Expectations of Retrofit Costs) Description: Reference marginal cost used in calculating optimal U value. Third order exponential smoothing of reference marginal cost. Present In 4 Views:
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.housingagingchain v15 | #123 A |
Expected Subsidy for Retrofits (Dollar / House) Expected Subsidy for Retrofits[Cohort,Heating and Cooling System,Retrofitting Status] = IF THEN ELSE( Energy Savings[ Cohort, Heating and Cooling System]>= HOMES Cut Off for Savings, HOMES Expected Higher Subsidy, HOMES Expected Lower Lump Sum Subsidy)+ MassSave Expected Subsidy for Retrofits[ Cohort, Heating and Cooling System, Retrofitting Status]+ EEHIC Expected Subsidy for Retrofits[ Cohort, Heating and Cooling System, Retrofitting Status] Description: Total subsidy offered against retrofit cost across both lump sum and proportional subsidy. Present In 4 Views:
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.housingagingchain v5 testing | #127 A |
Fixed Cost per Unit Area (Dollar / sf) Fixed Cost per Unit Area[Cohort] = ZIDZ( Expected Fixed Cost, Average Area[ Cohort,Open to Retrofitting]) Description: The fixed cost (which is constant) per square foot for an average house that is open to retrofitting. Present In 2 Views: Used By
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HeatPumpModel_v31 | #141 C |
Heating Degree Days (F ) = 5026 Description: The difference between temperature setpoint (65 F) and outside temperature.Data from degreedays.net, using the weather station for Norwood Memorial Airport, the closest weather station to the center of MA's population, Natick. In line with industry standard, use set point of 65°F, as thattemperature little heating or cooling is needed. Present In 3 Views: Used By
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.housingagingchain v5 testing | #143 A |
Heating Energy Price (Dollar / (kBTU)) Heating Energy Price[Heating and Cooling System] = Initial Heating Energy Price[ Heating and Cooling System]* Input 0 Description: The price to heat a home (which in this model we assume can only have one size) 1 kBTU, multiplied by the test input. Present In 6 Views:
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HeatPumpModel_v31 | #145 A |
Heating System Efficiency (dmnl) Heating System Efficiency[Heat Pump Heating and Cooling] = Heat Pump Heating COP TABLE( Time) Heating System Efficiency[Gas Heating] = Gas COP TABLE( Time) Heating System Efficiency[Oil Heating] = Oil COP TABLE( Time) Description: The COP (for heat pumps) or annual fuel utilization efficiency of heating systems. Varies over time. Present In 3 Views: Used By
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HeatPumpModel_v31 | #146 C |
Homeowner Hours Spent Retrofitting (Hour ) = 750 Description: The amount of hours a homeowners spends retrofitting their home themselves, i.e., the hours spent deciding to retrofit, supervising audits, moving out of the home as necessary, etc. No hard data on this, calibrated so that the initial fraction of homes willing to retrofit is 10%. Present In 1 View: Used By
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HeatPumpModel_v31 | #174 L |
Housing (House) Housing[Cohort,Heating and Cooling System,Not Open to Retrofitting] = ∫((( Housing Starts[ Cohort, Heating and Cooling System]- Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System])- Demolitions[ Cohort, Heating and Cooling System,Not Open to Retrofitting])+(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System!,Not Open to Retrofitting, Heating and Cooling System])))-(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System,Not Open to Retrofitting, Heating and Cooling System!])) dt + Initial Homes Not Retrofitting[ Cohort, Heating and Cooling System] Housing[Cohort,Heating and Cooling System,Open to Retrofitting] = ∫(( Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System]- Demolitions[ Cohort, Heating and Cooling System,Open to Retrofitting])+(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System!,Open to Retrofitting, Heating and Cooling System])))-(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System,Open to Retrofitting, Heating and Cooling System!])) dt + Initial Homes Retrofitting[ Cohort, Heating and Cooling System] Description: Houses, divided into those open to retrofitting (i.e., they will retrofit if their U is not equal to optimal) and those who are not. Present In 7 Views:
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HeatPumpModel_v31 | #209 A |
Lifetime Marginal Cost Reductions from Retrofitting (Dollar * Year * F / kBTU) Lifetime Marginal Cost Reductions from Retrofitting[Cohort,Heating and Cooling System] = Marginal Cost Reductions from Retrofitting[ Cohort, Heating and Cooling System]/ Discount Rate Description: The amount of marginal emissions reductions over the model's lifetime. Assumes constant continuous discounting at the discount rate and infinite time horizon -- homeowners are so concerned about emissions that they consider emissions that occur after they move out. Present In 1 View: Used By
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HeatPumpModel_v31 | #210 A |
Marginal Cooling Cost Reduction from Retrofitting (Dollar * F / (kBTU)) Marginal Cooling Cost Reduction from Retrofitting[Cohort,Heating and Cooling System] = Expected Cooling Energy Price* Cooling Degree Days/ Cooling System Efficiency[ Heating and Cooling System] Description: The marginal reduction in heating costs per square foot from retrofitting away one unit of U. Calculated as the derivative of total cooling energy costs with respect to U, where total cooling energy costs are Cooling Energy Price * Cooling Energy Use Per Square Foot, and the latter is U value * Area * Cooling Temperature Differential (CDD) / Area. Present In 2 Views: Used By
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HeatPumpModel_v31 | #211 A |
Marginal Cost at Binding U Value without EEHIC ((Dollar / sf) / (kBTU / (sf * F * Year))) Marginal Cost at Binding U Value without EEHIC[Cohort,Heating and Cooling System] = Expected Reference Marginal Cost*(ZIDZ( Reference U Value, U Value at Which EEHIC Cap Binds[ Cohort, Heating and Cooling System]))^ Sensitivity of Marginal Cost to U Value Description: This is the marginal cost of retrofitting when the cap from the EEHIC is binding. That is, this is the value the marginal cost curve jumps to at the discontinuity. Present In 1 View: Used By
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.housingagingchain v15 | #212 A |
Marginal Cost Reductions from Retrofitting (Dollar * F / kBTU) Marginal Cost Reductions from Retrofitting[Cohort,Heating and Cooling System] = Marginal Cooling Cost Reduction from Retrofitting[ Cohort, Heating and Cooling System]+ Marginal Heating Cost Reduction from Retrofitting[ Cohort, Heating and Cooling System] Description: Total cost reductions from retrofitting away one unit of U value for existing homes, including reductions in both heating and cooling costs. Present In 2 Views: Used By
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.housingagingchain v5 testing | #213 A |
Marginal Heating Cost Reduction from Retrofitting (Dollar * F / (kBTU)) Marginal Heating Cost Reduction from Retrofitting[Cohort,Heating and Cooling System] = Expected Heating Energy Price[ Heating and Cooling System]* Heating Degree Days/ Heating System Efficiency[ Heating and Cooling System] Description: The marginal reduction in heating costs per square foot from retrofitting away one unit of U, for existing housing. Calculated as the derivative of total heating energy costs with respect to U, where total heating energy costs are Heating Energy Price * Heating Energy Use Per Square Foot, and the latter is U value * Area * Heating Temperature Differential (HDD) / efficiency / Area. Present In 1 View: Used By
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HeatPumpModel_v31 | #255 A |
Optimal U Value for Existing Homes (kBTU / (sf * F * Year)) Optimal U Value for Existing Homes[Cohort,Heating and Cooling System] = IF THEN ELSE( U Value at Which EEHIC Cap Binds[ Cohort, Heating and Cooling System]< Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System], Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System],IF THEN ELSE( Lifetime Marginal Cost Reductions from Retrofitting[ Cohort, Heating and Cooling System]> Marginal Cost at Binding U Value without EEHIC[ Cohort, Heating and Cooling System], Optimal U Value with No EEHIC Proportional Subsidy[ Cohort, Heating and Cooling System], U Value at Which EEHIC Cap Binds[ Cohort, Heating and Cooling System])) Description: This is the optimal value at which homes will retrofit to. This is the value at which the marginal costs of retrofitting equal the marginal benefits.This strange formulation comes from the fact that there is a discontinuity in the marginal cost curve. The intuition can be seen in this graph: https://www.desmos.com/calculator/4esbngkovt. In the graph, X is the U value to which to retrofit and y is the marginal benefit or cost, and the curved line is the marginal cost curve and the horizontal is the marginal benefit. Y, the marginal benefit, can be adjusted. I set reference marginal cost and reference U to 1 for clarity in this graph.Because the Energy Efficiency Home Improvement Credit takes of 30% of the retrofit cost up to $1200, there is a U value (x_cap in the graph) at which, below it, marginal costs benefit from the EEHIC's 30% subsidy (the red line in the graph). After that, there is no such 30% subsidy, and the marginal cost curve is shifted up (blue line in the graph). What then is the optimal U? The first if then else statement captures the fact that if the marginal cost curve with the 30% subsidy intersects the marginal benefit line, then homes just retrofit to that point. The EEHIC cap is not binding. If the cap is binding, then the second if then else statement captures the fact that if the marginal benefit is still greater than the marginal costs after the cap in EEHIC -- that is, it's still worth to retrofit even without a 30% subsidy-- then homes retrofit to the point where the higher MC curve intersects the marginal benefit. If this is not true -- if the marginal cost at the discontinuity jumps above the marginal benefit-- then retrofitting beyond the discontinuity means marginal costs are greater than marginal benefits, and so they'll retrofit to the discontinuity. Present In 1 View: Used By
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.housingagingchain v4 testing | #254 A |
Optimal U Value for Existing Homes if no EEHIC Cap (kBTU / (sf * F * Year)) Optimal U Value for Existing Homes if no EEHIC Cap[Cohort,Heating and Cooling System] = Reference U Value*( Expected Reference Marginal Cost*(1- Expected MassSave Proportional Subsidy Rate for Retrofits)*(1- Expected EEHIC Proportional Subsidy Rate for Retrofits)/ Lifetime Marginal Cost Reductions from Retrofitting[ Cohort, Heating and Cooling System])^(1/ Sensitivity of Marginal Cost to U Value) Description: Optimal U Value to retrofit to should achieve if fixed costs are not taken into consideration (e.g., if fixed costs have already been paid) for existing houses). This takes into account the proportional subsidy but not the lump sum. Effect of proportional subsidies are multiplied instead of added, i.e., (1 - subsidy1)(1-subsidy2) instead of (1 - subsidy1 - subsidy2), because costs from state programs are subtracted when calculating federal subsidy in MA (https://www.masssave.com/inflation-reduction-act, "How do Mass Save rebates factor into the calculation of tax credits?")Expression is derived from the marginal energy savings from retrofitting being Energy Price and marginal cost of retrofitting being Reference MC * (1/(U/ Reference U))^Sensitivity and then solving for optimal retrofit when marginal savings equal marginal cost.This is the optimal U value if there were no cap on the Energy Efficiency Home Improvement Credit, i.e., no discontinuity the marginal cost curve. Present In 8 Views:
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HeatPumpModel_v31 | #256 A |
Optimal U Value with No EEHIC Proportional Subsidy (kBTU / (sf * F * Year)) Optimal U Value with No EEHIC Proportional Subsidy[Cohort,Heating and Cooling System] = Reference U Value*( Expected Reference Marginal Cost*(1- Expected MassSave Proportional Subsidy Rate for Retrofits)/ Lifetime Marginal Cost Reductions from Retrofitting[ Cohort, Heating and Cooling System])^(1/ Sensitivity of Marginal Cost to U Value) Description: Optimal U value if there is no proportional subsidy from the EEHIC at all. Present In 1 View: Used By
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HeatPumpModel_v31 | #269 C |
Proportional EEHIC Subsidy Implementation Year for Retrofits (Year ) = 2023 Description: Time at which the proportional subsidy will take effect from the Energy Efficiency Home Improvement Credit.Source: https://www.nrdc.org/stories/consumer-guide-inflation-reduction-act Present In 2 Views: Used By
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.housingagingchain v9 | #285 C |
Reference U Value (kBTU / (sf * Year * F) ) = 0.006 Description: Reference U Value to ensure base of exponent in marginally optimal U value is dimensionless. This must be equal to or greater than code U value.Value taken as the average of U values of single family homes in MA in 2020 for our sample. Present In 3 Views: Used By
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.housingagingchain v5 testing | #291 C |
Sensitivity of Marginal Cost to U Value (dmnl ) = 3.25 Description: Measures the sensitivity of marginal retrofit costs as a function of optimal U value. In particular, marginal Retrofit Cost is equal to Constant * (U Value retrofitted away ^ Convexity). This must be greater than 1.This is taken from pg. 69 of Caswell (2022), where she calculates the total retrofit cost curve as a function of percent savings as having an exponent of 2.25. Because this is the total retrofit cost curve, the exponent for the marginal cost is -2.25 - 1. Because percent savings is inversely proportional to U, the exponent in the total cost curve will be the negation of 2.25, which is ensured in the marginal cost curve formulation in other variables. Present In 4 Views:
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HeatPumpModel_v31 | #299 A |
Soft Costs of Retrofitting (Dollar / Home) = Average Income* Homeowner Hours Spent Retrofitting Description: The "hassle cost" of retrofitting a home, that is not due to economic costs but rather from the time and hassle spent on a homeowner retrofitting (such as having to move out). This is calculated as the opportunity cost of all the time spent retrofitting, using the average hourly income for MA SFH homeowners. Present In 1 View: Used By
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.housingagingchain v15 | #304 A |
Subsidized Retrofit Cost (Dollar /House) Subsidized Retrofit Cost[Cohort,Heating and Cooling System] = Unsubsidized Retrofit Cost[ Cohort, Heating and Cooling System]- Expected Subsidy for Retrofits[ Cohort, Heating and Cooling System,Open to Retrofitting]+ Soft Costs of Retrofitting Description: The total retrofit cost, net of any subsidies for existing homes. Hassle costs are added here because subsidies cannot subsidize those directly. Present In 1 View: Used By
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HeatPumpModel_v31 | #328 A |
U Value at Which EEHIC Cap Binds (kBTU / (F * sf * Year)) U Value at Which EEHIC Cap Binds[Cohort,Heating and Cooling System] = IF THEN ELSE( U Value of Retrofitting Homes[ Cohort, Heating and Cooling System]>1e-06:AND: Expected EEHIC Proportional Subsidy Rate for Retrofits>1e-06, Reference U Value*(( Sensitivity of Marginal Cost to U Value-1)*((( Expected EEHIC Maximum Subsidy for Retrofits- Expected EEHIC Proportional Subsidy Rate for Retrofits* Expected Fixed Cost)/( U Value of Retrofitting Homes[ Cohort, Heating and Cooling System]* Expected EEHIC Proportional Subsidy Rate for Retrofits* Expected Reference Marginal Cost* Average Area[ Cohort,Open to Retrofitting]))-(1/(- Sensitivity of Marginal Cost to U Value+1))*(( U Value of Retrofitting Homes[ Cohort, Heating and Cooling System]/ Reference U Value)^(- Sensitivity of Marginal Cost to U Value+1)))^(1/(- Sensitivity of Marginal Cost to U Value+1))),0) Description: This the U value at which the maximum subsidy from the Energy Efficiency Home Improvement Credit (from the IRA_ will occur. Because the EEHIC pays for 30% of a retrofit's costs up to $1200, once a home will retrofit beyond this point, IT will no longer receive an additional subsidy. Thus, this is the U value at which a discontinuity in the marginal cost curve will occur-- before it, a 30% subsidy on the marginal cost will cocur, and then afterwards were will be no proportional subsidy.Formulation is derived by setting 30% of the retrofit cost from current U value to this U value equal to the maximum subsidy, and then solving for this U value. The retrofit cost from the current U to this U is equal to the definite integral from the current U to this U of the marginal cost, which is equal to Reference MC * (Reference U / U) ^sensitivity Present In 1 View: Used By
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HeatPumpModel_v31 | #329 A |
U Value by Grouping (kBTU / (sf * F * Year)) U Value by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = IF THEN ELSE( Housing[ Cohort, Heating and Cooling System, Retrofitting Status]>1e-12, Total U Value[ Cohort, Heating and Cooling System, Retrofitting Status]/ Housing[ Cohort, Heating and Cooling System, Retrofitting Status],0) Description: The average U value in each home by cohort, heating/cooling system, etc. Present In 8 Views:
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HeatPumpModel_v31 | #333 A |
U Value of Retrofitting Homes (kBTU / (sf * Year * F)) U Value of Retrofitting Homes[Cohort,Heating and Cooling System] = U Value by Grouping[ Cohort, Heating and Cooling System,Open to Retrofitting] Description: The Average U Value of each home that is open to retrofitting. Present In 1 View: Used By
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.housingagingchain v8 | #339 A |
Unsubsidized Retrofit Cost (Dollar / House) Unsubsidized Retrofit Cost[Cohort,Heating and Cooling System] = Unsubsidized Retrofit Cost Intensity[ Cohort, Heating and Cooling System]* Average Area[ Cohort,Open to Retrofitting] Description: Total retrofit cost without taking into account subsidies. Present In 4 Views:
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.housingagingchain v5 testing | #338 A |
Unsubsidized Retrofit Cost Intensity (Dollar / sf) Unsubsidized Retrofit Cost Intensity[Cohort,Heating and Cooling System] = MAX(IF THEN ELSE( U Value of Retrofitting Homes[ Cohort, Heating and Cooling System]>1e-06,( Expected Reference Marginal Cost* Reference U Value/(- Sensitivity of Marginal Cost to U Value+1))*((( Reference U Value/ U Value of Retrofitting Homes[ Cohort, Heating and Cooling System])^ Sensitivity of Marginal Cost to U Value-1)-(( Reference U Value/ Optimal U Value for Existing Homes[ Cohort, Heating and Cooling System])^( Sensitivity of Marginal Cost to U Value-1)))+ Fixed Cost per Unit Area[ Cohort],0),0) Description: Total cost of retrofit per square foot when the marginally optimal amount of U value is retrofitted away.Calculated as definite integral of marginal cost of retrofitting, which, at a given U, is Reference MC * (Ref. U / U Value) ^ Sensitivity. The total retrofit function is then found by taking the finite integral of the marginal cost function from the indicated optimal U value to the original U value and adding the fixed cost. This cost can be theoretically negative, but if so no retrofitting will take place as the retrofitting outflow is nonnegative.The "if" statement ensures there are no retrofit costs when there are no houses in a cohort. U value must be greater than 1e-6 as this is the threshold for ZIDZ used in calculating average U. Present In 4 Views:
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(View) Perceived Subsidies & Costs (64 Variables) |
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Top | (View) Perceived Subsidies & Costs (64 Variables) | ||
Variable Name And Description | HeatPumpModel_v31 | #29 A |
Average Area (sf / House) Average Area[Cohort,Retrofitting Status] = ZIDZ( Area[ Cohort, Retrofitting Status], Housing by Cohort and Retrofitting Status[ Cohort, Retrofitting Status]) Description: Average area by cohort and retrofitting status (assume it's the same across heating and cooling systems). Present In 7 Views:
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HeatPumpModel_v31 | #70 A |
Cooling Energy Price (Dollar / kBTU) = Initial Cooling Energy Price* Input 1 Description: Price of cooling a home (through air conditioning), subject to the test input. Present In 3 Views: Used By
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.housingagingchain v15 | #85 C |
Delay in Changing Subsidy Expectations (Year ) = 0.5 Description: Delay in perceiving any changes to subsidies. Assumed to be the same for both subsidies. Present In 1 View: Used By
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.housingagingchain v15 | #86 C |
Delay in Forming Expectations of Energy Price (Year ) = 1 Description: Delay in perceiving changes in energy price. Present In 1 View: Used By
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.housingagingchain v15 | #87 C |
Delay in Forming Expectations of Retrofit Costs (Year ) = 1.5 Description: Delay in perceiving changes in fixed retrofit cost and reference marginal cost. Assumed to be the same for both types of costs. Present In 1 View: Used By
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HeatPumpModel_v31 | #90 C |
Discount Rate (1 / Year ) = 0.05 Description: Discount rate for discounting energy savings cash flows.Average and bounds from demand-side discount rate from MassDEP's analysis of pathways for net zero (pg. 103): https://www.mass.gov/doc/energy-pathways-for-deep-decarbonization-report/downloadhttps://www.mass.gov/doc/energy-pathways-for-deep-decarbonization-report/download Present In 4 Views: Used By
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HeatPumpModel_v31 | #91 A |
EEHIC Expected Subsidy for Retrofits (Dollar / House) EEHIC Expected Subsidy for Retrofits[Cohort,Heating and Cooling System,Retrofitting Status] = MIN( Proportional Subsidy Switch for Retrofits* Expected EEHIC Proportional Subsidy Rate for Retrofits* Unsubsidized Retrofit Cost Intensity[ Cohort, Heating and Cooling System]* Average Area[ Cohort, Retrofitting Status], Expected EEHIC Maximum Subsidy for Retrofits) Description: The proportional subsidy offered against the retrofit cost intensity, taking into account whether it has gone into effect, from the Energy Efficient Home Improvement Credit. Present In 1 View: Used By
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HeatPumpModel_v31 | #92 C |
EEHIC Maximum Subsidy for Retrofits (Dollar / House ) = 1200 Description: The maximum proportional subsidy that will be offered from Energy Efficient Home Improvement Credit, regardless of that subsidy's discount. Source: https://www.nrdc.org/stories/consumer-guide-inflation-reduction-act Present In 1 View: Used By
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HeatPumpModel_v31 | #93 C |
EEHIC Proportional Subsidy Rate for Retrofits (dmnl ) = 0.3 Description: Proportion of total retrofit cost that will be credited with the Energy Efficiency Home Improvement Credit.Source: https://www.nrdc.org/stories/consumer-guide-inflation-reduction-act Present In 1 View: Used By
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HeatPumpModel_v31 | #94 C |
EEHIC Subsidy for Retrofits Final Year (Year) = 2033 Description: The year in which the EEHIC is phased out. If final time, then has no ending data.Source: https://www.irs.gov/credits-deductions/energy-efficient-home-improvement-credit Present In 2 Views: Used By
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HeatPumpModel_v31 | #106 A |
Energy Savings (dmnl) Energy Savings[Cohort,Heating and Cooling System] = MAX(0,ABS(ZIDZ(( Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System]- U Value by Grouping[ Cohort, Heating and Cooling System,Open to Retrofitting]), U Value by Grouping[ Cohort, Heating and Cooling System,Open to Retrofitting]))) Description: The amount of energy savings that not refitting houses would achieve if they were to retrofit. Because we assume area, HDD, and efficiency stay the same before and after retrofitting, this saving is solely from changing the U value. Present In 2 Views: Used By
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HeatPumpModel_v31 | #111 SM,A |
Expected Cooling Energy Price (Dollar / kBTU) = SMOOTH3( Cooling Energy Price, Delay in Forming Expectations of Energy Price) Description: Energy price for one kBTU of cooling used to calculate optimal U value. Third order exponential smoothing of cooling energy price. Present In 4 Views: Used By
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HeatPumpModel_v31 | #112 SM,A |
Expected EEHIC Maximum Subsidy for Retrofits (Dollar / House) = SMOOTH3( Implemented EEHIC Maximum Subsidy for Retrofits, Delay in Changing Subsidy Expectations) Description: Expected maximum proportional subsidy that lowers subsidized retrofit costs from the Energy Efficiency Home Improvement Credit, taking into account information delays. Present In 2 Views: Used By
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HeatPumpModel_v31 | #113 SM,A |
Expected EEHIC Proportional Subsidy Rate for Retrofits (dmnl) = SMOOTH3( Implemented EEHIC Subsidy Proportional Rate for Retrofits, Delay in Changing Subsidy Expectations)* Proportional Subsidy Switch for Retrofits Description: Expected proportional subsidy rate that lowers subsidized retrofit costs, taking into account information delays. Present In 2 Views: Used By
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.housingagingchain v15 | #114 SM,A |
Expected Fixed Cost (Dollar / House) = SMOOTH( Fixed Cost, Delay in Forming Expectations of Retrofit Costs) Description: Fixed cost used in calculating optimal EUI. Third order exponential smoothing of fixed cost. Present In 2 Views: Used By
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.housingagingchain v15 | #115 SM,A |
Expected Heating Energy Price (Dollar / kBTU) Expected Heating Energy Price[Heating and Cooling System] = SMOOTH3( Heating Energy Price[ Heating and Cooling System], Delay in Forming Expectations of Energy Price) Description: Energy price for one kBTU of heating used to calculate optimal U value. Third order exponential smoothing of heating energy price. Present In 6 Views:
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HeatPumpModel_v31 | #116 SM,A |
Expected IRA Proportional Subsidy Rate for Heat Pumps (dmnl) = SMOOTH3( IRA Implemented Subsidy Proportional Rate for Heat Pumps, Delay in Changing Subsidy Expectations)* Proportional IRA Subsidy Switch for Heat Pumps Description: Expected proportional subsidy rate that lowers subsidized retrofit costs, taking into account information delays. Present In 1 View: Used By
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.housingagingchain v15 | #118 SM,A |
Expected MassSave Maximum Subsidy for Retrofits (Dollar / House) = SMOOTH3( Implemented MassSave Maximum Subsidy for Retrofits, Delay in Changing Subsidy Expectations) Description: Expected maximum proportional subsidy that lowers subsidized retrofit costs, taking into account information delays. Present In 1 View: Used By
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.housingagingchain v15 | #119 SM,A |
Expected MassSave Proportional Subsidy Rate for Retrofits (dmnl) = SMOOTH3( Implemented MassSave Subsidy Proportional Rate for Retrofits, Delay in Changing Subsidy Expectations)* Proportional Subsidy Switch for Retrofits Description: Expected proportional subsidy rate that lowers subsidized retrofit costs, taking into account information delays. Present In 4 Views:
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HeatPumpModel_v31 | #120 SM,A |
Expected Maximum IRA Proportional Subsidy for Heat Pumps (Dollar / House) = SMOOTH3( Implemented IRA Maximum Proportional Subsidy for Heat Pumps, Delay in Changing Subsidy Expectations) Description: Expected maximum proportional subsidy that lowers subsidized retrofit costs, taking into account information delays. Present In 1 View: Used By
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.housingagingchain v15 | #121 SM,A |
Expected Reference Marginal Cost ((Dollar / sf) / (kBTU / (sf * Year * F))) = SMOOTH( Reference Marginal Cost, Delay in Forming Expectations of Retrofit Costs) Description: Reference marginal cost used in calculating optimal U value. Third order exponential smoothing of reference marginal cost. Present In 4 Views:
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HeatPumpModel_v31 | #122 A |
Expected Subsidy for Heat Pumps (Dollar / House) = MassSave Expected Lump Sum Subsidy for Heat Pumps+ IRA Expected Proportional Subsidy for Heat Pumps Description: Total subsidy offered against retrofit cost across both lump sum and proportional subsidies. Present In 2 Views: Used By
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.housingagingchain v15 | #123 A |
Expected Subsidy for Retrofits (Dollar / House) Expected Subsidy for Retrofits[Cohort,Heating and Cooling System,Retrofitting Status] = IF THEN ELSE( Energy Savings[ Cohort, Heating and Cooling System]>= HOMES Cut Off for Savings, HOMES Expected Higher Subsidy, HOMES Expected Lower Lump Sum Subsidy)+ MassSave Expected Subsidy for Retrofits[ Cohort, Heating and Cooling System, Retrofitting Status]+ EEHIC Expected Subsidy for Retrofits[ Cohort, Heating and Cooling System, Retrofitting Status] Description: Total subsidy offered against retrofit cost across both lump sum and proportional subsidy. Present In 4 Views:
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.housingagingchain v5 testing | #128 C |
Fixed Cost (Dollar / House ) = 0 Description: Fixed cost of retrofitting, due to permitting, finding contractors, etc. This is not taken into account in the marginal cost of retrofitting, and this model assumes that households have not yet paid a fixed cost when deciding to retrofit. This cost only applies to existing housing.Set this equal to 0, because almost all costs for retrofits seem to be variable (except for permitting, which isn't usually used), and there's no data to suggest otherwise. Present In 2 Views: Used By
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.housingagingchain v5 testing | #143 A |
Heating Energy Price (Dollar / (kBTU)) Heating Energy Price[Heating and Cooling System] = Initial Heating Energy Price[ Heating and Cooling System]* Input 0 Description: The price to heat a home (which in this model we assume can only have one size) 1 kBTU, multiplied by the test input. Present In 6 Views:
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HeatPumpModel_v31 | #147 C |
HOMES Cut Off for Savings (dmnl ) = 0.35 Description: The percent energy savings needed to get the higher subsidy amount from the Home Owner Managing Energy Savings rebate. Taken from: https://www.nrdc.org/bio/lauren-urbanek/theres-no-better-time-consider-home-energy-upgrades#: :text=The%20HOMES%20Rebate%20Program%20provides,or%20from%20measured%20energy%20savings. Present In 2 Views: Used By
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HeatPumpModel_v31 | #148 SM,A |
HOMES Expected Higher Subsidy (Dollar / House) = SMOOTH3( HOMES Implemented High Subsidy, Delay in Changing Subsidy Expectations) Description: Expected lump sum subsidy that lowers subsidized retrofit costs, taking into account information delays. This is for homes that save more than 35% of energy Present In 1 View: Used By
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.housingagingchain v15 | #149 SM,A |
HOMES Expected Lower Lump Sum Subsidy (Dollar / House) = SMOOTH3( HOMES Implemented Lower Subsidy, Delay in Changing Subsidy Expectations) Description: Expected lump sum subsidy that lowers subsidized retrofit costs, taking into account information delays. Present In 3 Views: Used By
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HeatPumpModel_v31 | #150 C |
HOMES High Subsidy Amount (Dollar / House ) = 4000 Description: The subsidy from the home owner managing energy savings rebate for retrofits saving more than 35% of energy.Source: https://www.nrdc.org/bio/lauren-urbanek/theres-no-better-time-consider-home-energy-upgrades#: :text=The%20HOMES%20Rebate%20Program%20provides,or%20from%20measured%20energy%20savings. Present In 1 View: Used By
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HeatPumpModel_v31 | #151 A |
HOMES Implemented High Subsidy (Dollar / House) = IF THEN ELSE( Time>= HOMES Subsidy Implementation Year:AND: Time<= HOMES Subsidy Final Year, HOMES High Subsidy Amount,0) Description: Implemented higher subsidy from the HOMES rebate program. Present In 2 Views: Used By
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.housingagingchain v15 | #152 A |
HOMES Implemented Lower Subsidy (Dollar / House) = IF THEN ELSE( Time>= HOMES Subsidy Implementation Year:AND: Time<= HOMES Subsidy Final Year, HOMES Lower Subsidy Amount,0) Description: Lump sum subsidy that is actually implemented. Equal to zero before implementation year and to lump sum subsidy after implementation year. Present In 2 Views: Used By
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.housingagingchain v15 | #153 C |
HOMES Lower Subsidy Amount (Dollar / House ) = 2000 Description: The lump sum subsidy given for retrofits that save less than 35% of their energy from the Home Owner Managing Energy Savings tax credit.Source: https://www.nrdc.org/bio/lauren-urbanek/theres-no-better-time-consider-home-energy-upgrades#: :text=The%20HOMES%20Rebate%20Program%20provides,or%20from%20measured%20energy%20savings. Present In 1 View: Used By
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HeatPumpModel_v31 | #154 C |
HOMES Subsidy Final Year (Year) = 2032 Description: Final year of Home Owner Managing Energy Savings rebate, assumed to be the same as that of the EEHIC. Present In 1 View: Used By
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.housingagingchain v15 | #155 C |
HOMES Subsidy Implementation Year (Year ) = 2025 Description: The year in which the lump sum subsidy will activate. Present In 1 View: Used By
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HeatPumpModel_v31 | #175 A |
Implemented EEHIC Maximum Subsidy for Retrofits (Dollar / House) = IF THEN ELSE( Time>= Proportional EEHIC Subsidy Implementation Year for Retrofits:AND: Time<= EEHIC Subsidy for Retrofits Final Year, EEHIC Maximum Subsidy for Retrofits,0) Description: Maximum proportional subsidy from EEHIC that is actually implemented. Equal to zero before implementation year and to maximum proportional subsidy after implementation year. Present In 2 Views: Used By
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HeatPumpModel_v31 | #176 A |
Implemented EEHIC Subsidy Proportional Rate for Retrofits (dmnl) = IF THEN ELSE( Time>= Proportional EEHIC Subsidy Implementation Year for Retrofits:AND: EEHIC Subsidy for Retrofits Final Year>= Time, EEHIC Proportional Subsidy Rate for Retrofits,0) Description: The implemented proportional subsidy rate for retrofits from the IRA, taking into account whether a proportional subsidy has been implemented. Equal to zero before implementation year and proportional subsidy discount afterwards. Present In 2 Views: Used By
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HeatPumpModel_v31 | #177 A |
Implemented IRA Maximum Proportional Subsidy for Heat Pumps (Dollar / House) = IF THEN ELSE( Time>= IRA Proportional Subsidy Implementation Year for Heat Pumps:AND: Time<= IRA Lump Sum Subsidy for Heat Pumps Final Year, IRA Maximum Proportional Subsidy for Heat Pumps,0) Description: Maximum proportional subsidy for heat pumps that is actually implemented. Equal to zero before implementation year and to maximum proportional subsidy after implementation year. Present In 2 Views: Used By
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.housingagingchain v15 | #178 A |
Implemented MassSave Maximum Subsidy for Retrofits (Dollar / House) = IF THEN ELSE( Time>= Proportional MassSave Subsidy Implementation Year for Retrofits:AND: Time<= MassSave Subsidy for Retrofits Final Year, MassSave Maximum Subsidy for Retrofits,0) Description: Maximum proportional subsidy that is actually implemented. Equal to zero before implementation year and to maximum proportional subsidy after implementation year. Present In 2 Views: Used By
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.housingagingchain v15 | #179 A |
Implemented MassSave Subsidy Proportional Rate for Retrofits (dmnl) = IF THEN ELSE( Time>= Proportional MassSave Subsidy Implementation Year for Retrofits:AND: MassSave Subsidy for Retrofits Final Year>= Time, Mass Save Proportional Subsidy Rate for Retrofits,0) Description: The implemented proportional subsidy rate from the state, taking into account whether a proportional subsidy has been implemented. Equal to zero before implementation year and proportional subsidy discount afterwards. Present In 2 Views: Used By
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HeatPumpModel_v31 | #202 A |
IRA Expected Proportional Subsidy for Heat Pumps (Dollar / House) = MIN( Proportional IRA Subsidy Switch for Heat Pumps* Expected IRA Proportional Subsidy Rate for Heat Pumps* Unsubsidized Cost of Heat Pumps, Expected Maximum IRA Proportional Subsidy for Heat Pumps) Description: The IRA's subsidies for a heat pump's upfront costsintensity, taking into account whether it has gone into effect. Present In 1 View: Used By
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HeatPumpModel_v31 | #203 A |
IRA Implemented Subsidy Proportional Rate for Heat Pumps (dmnl) = IF THEN ELSE( Time>= IRA Proportional Subsidy Implementation Year for Heat Pumps:AND: IRA Lump Sum Subsidy for Heat Pumps Final Year>= Time, IRA Proportional Subsidy Rate for Heat Pumps,0) Description: The implemented proportional subsidy rate, taking into account whether a proportional subsidy has been implemented. Equal to zero before implementation year and proportional subsidy rate afterwards. Present In 2 Views: Used By
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HeatPumpModel_v31 | #204 C |
IRA Lump Sum Subsidy for Heat Pumps Final Year (Year ) = 2032 Description: The year in which the subsidy is phased out. If final time, then has no ending date. Present In 1 View: Used By
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HeatPumpModel_v31 | #205 C |
IRA Maximum Proportional Subsidy for Heat Pumps (Dollar / House ) = 2000 Description: The maximum proportional subsidy for heat pumps that will be offered, regardless of the subsidy rate. For instance, if the proportional subsidy is 50% but the maximum is $1000, then for a retrofit project that costs $3000 only a $1000 subsidy will be given.Taken from: https://www.energystar.gov/about/federal-tax-credits Present In 2 Views: Used By
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HeatPumpModel_v31 | #206 C |
IRA Proportional Subsidy Implementation Year for Heat Pumps (Year ) = 2023 Description: Time at which the proportional subsidy will take effect from the Inflation Reduction Act, from https://www.nrdc.org/stories/consumer-guide-inflation-reduction-act Present In 1 View: Used By
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HeatPumpModel_v31 | #207 C |
IRA Proportional Subsidy Rate for Heat Pumps (dmnl ) = 0.3 Description: Proportion of total heat pump cost that will be credited as part of a proportional subsidy.Taken from: https://www.energystar.gov/about/federal-tax-credits Present In 1 View: Used By
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.housingagingchain v15 | #214 C |
Mass Save Proportional Subsidy Rate for Retrofits (dmnl ) = 0.75 Description: Proportion of total retrofit cost that will be credited as part of a proportional subsidy. Theoretically, this can vary between current housing and housing under construction.Based off Mass Save data: https://www.masssave.com/en/residential/rebates-and-incentives/insulation-and-windows/insulation-and-air-sealing Present In 2 Views: Used By
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HeatPumpModel_v31 | #217 SM,A |
MassSave Expected Lump Sum Subsidy for Heat Pumps (Dollar / House) = SMOOTH3( MassSave Implemented Lump Sum Subsidy for Heat Pumps, Delay in Changing Subsidy Expectations) Description: Expected lump sum subsidy that lowers subsidized retrofit costs from the state, taking into account information delays. Present In 1 View: Used By
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.housingagingchain v15 | #218 A |
MassSave Expected Subsidy for Retrofits (Dollar / House) MassSave Expected Subsidy for Retrofits[Cohort,Heating and Cooling System,Retrofitting Status] = MIN( Proportional Subsidy Switch for Retrofits* Expected MassSave Proportional Subsidy Rate for Retrofits* Unsubsidized Retrofit Cost Intensity[ Cohort, Heating and Cooling System]* Average Area[ Cohort, Retrofitting Status], Expected MassSave Maximum Subsidy for Retrofits) Description: The proportional subsidy offered against the retrofit cost intensity from MassSave, taking into account whether it has gone into effect. Present In 2 Views: Used By
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HeatPumpModel_v31 | #219 A |
MassSave Implemented Lump Sum Subsidy for Heat Pumps (Dollar / House) = MIN( Unsubsidized Cost of Heat Pumps,IF THEN ELSE( Time>= MassSave Lump Sum Subsidy Implementation Year for Heat Pumps:AND: Time<= MassSave Lump Sum Subsidy for Heat Pumps Final Year, MassSave Lump Sum Subsidy Amount for Heat Pumps,0)) Description: Lump sum subsidy from MassSave that is actually implemented. Equal to zero before implementation year and to lump sum subsidy after implementation year. Present In 2 Views: Used By
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HeatPumpModel_v31 | #220 C |
MassSave Lump Sum Subsidy Amount for Heat Pumps (Dollar / House ) = 10000 Description: The total amount of money offered by the lump sum subsidy.Taken from: https://www.masssave.com/residential/rebates-and-incentives/heating-and-cooling/heat-pumps/air-source-heat-pumps. Present In 1 View: Used By
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HeatPumpModel_v31 | #221 C |
MassSave Lump Sum Subsidy for Heat Pumps Final Year (Year) = 2200 Description: The year in which the state's subsidy for heat pumps is phased out. Present In 1 View: Used By
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HeatPumpModel_v31 | #222 C |
MassSave Lump Sum Subsidy Implementation Year for Heat Pumps (Year ) = 2020 Description: The year in which the state's lump sum subsidy for heat pumps will activate. Present In 1 View: Used By
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.housingagingchain v15 | #223 C |
MassSave Maximum Subsidy for Retrofits (Dollar / House ) = 1e+07 Description: The maximum proportional subsidy that will be offered, regardless of that subsidy's discount. For instance, if the proportional subsidy is 50% but the maximum is $1000, then for a retrofit project that costs $3000 only a $1000 subsidy will be given.If very large, then no maximum subsidy given. Present In 1 View: Used By
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HeatPumpModel_v31 | #224 A |
MassSave Subsidy for Retrofits Final Year (Year) = FINAL TIME Description: The year in which the subsidy is phased out. If final time, then has no ending data. Present In 1 View: Used By
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.housingagingchain v4 testing | #254 A |
Optimal U Value for Existing Homes if no EEHIC Cap (kBTU / (sf * F * Year)) Optimal U Value for Existing Homes if no EEHIC Cap[Cohort,Heating and Cooling System] = Reference U Value*( Expected Reference Marginal Cost*(1- Expected MassSave Proportional Subsidy Rate for Retrofits)*(1- Expected EEHIC Proportional Subsidy Rate for Retrofits)/ Lifetime Marginal Cost Reductions from Retrofitting[ Cohort, Heating and Cooling System])^(1/ Sensitivity of Marginal Cost to U Value) Description: Optimal U Value to retrofit to should achieve if fixed costs are not taken into consideration (e.g., if fixed costs have already been paid) for existing houses). This takes into account the proportional subsidy but not the lump sum. Effect of proportional subsidies are multiplied instead of added, i.e., (1 - subsidy1)(1-subsidy2) instead of (1 - subsidy1 - subsidy2), because costs from state programs are subtracted when calculating federal subsidy in MA (https://www.masssave.com/inflation-reduction-act, "How do Mass Save rebates factor into the calculation of tax credits?")Expression is derived from the marginal energy savings from retrofitting being Energy Price and marginal cost of retrofitting being Reference MC * (1/(U/ Reference U))^Sensitivity and then solving for optimal retrofit when marginal savings equal marginal cost.This is the optimal U value if there were no cap on the Energy Efficiency Home Improvement Credit, i.e., no discontinuity the marginal cost curve. Present In 8 Views:
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HeatPumpModel_v31 | #269 C |
Proportional EEHIC Subsidy Implementation Year for Retrofits (Year ) = 2023 Description: Time at which the proportional subsidy will take effect from the Energy Efficiency Home Improvement Credit.Source: https://www.nrdc.org/stories/consumer-guide-inflation-reduction-act Present In 2 Views: Used By
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HeatPumpModel_v31 | #270 C |
Proportional IRA Subsidy Switch for Heat Pumps (dmnl ) = 1 Description: Turns proportional subsidy's effect on retrofit cost on/off. Present In 2 Views: Used By
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.housingagingchain v15 | #271 C |
Proportional MassSave Subsidy Implementation Year for Retrofits (Year ) = 2020 Description: Time at which the proportional subsidy will take effect. Present In 2 Views: Used By
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.housingagingchain v15 | #272 C |
Proportional Subsidy Switch for Retrofits (dmnl ) = 1 Description: Turns proportional subsidy's effect on retrofit cost on/off. Present In 1 View: Used By
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.housingagingchain v5 testing | #283 C |
Reference Marginal Cost (Dollar / sf / (kBTU / (sf * Year * F)) ) = 12.88 Description: The marginal cost of retrofitting at the reference EUI. In particular, the marginal cost of retrofitting at some EUI is Reference U *( (Reference U / U) ^ Sensitivity )This was calculated by setting sensitivity of marginal cost equal to 1.25, and finding the MC where a 31% reduction in U value from the reference costs a total of 4.95 / (1 - 0.21) dollars per square foot. The sensitivity value is explained in the sensitivity variable. Less et al. (2021, pg. 17-18) note that in their project database, the median cost per square foot for retrofits after subsidies was $4.95, while subsidies accounted for 21% of the total project cost for the median project. The median cost reduced energy use by 28% - 33% (of which I took the average), and I use the lower bound value to account for the fact that energy savings may occur not only due to increase in U value.Obviously all of this is extraordinarily rough.Less et al. (2021): https://eta-publications.lbl.gov/sites/default/files/final_walker_-_the_cost_of_decarbonization_and_energy.pdf Present In 2 Views: Used By
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HeatPumpModel_v31 | #329 A |
U Value by Grouping (kBTU / (sf * F * Year)) U Value by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = IF THEN ELSE( Housing[ Cohort, Heating and Cooling System, Retrofitting Status]>1e-12, Total U Value[ Cohort, Heating and Cooling System, Retrofitting Status]/ Housing[ Cohort, Heating and Cooling System, Retrofitting Status],0) Description: The average U value in each home by cohort, heating/cooling system, etc. Present In 8 Views:
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HeatPumpModel_v31 | #337 A |
Unsubsidized Cost of Heat Pumps (Dollar / House) = Unsubsidized Cost of Heat Pump Over Time TABLE( Time) Description: The unsubsidized cost of heat pumps, instantiated at each time. Present In 3 Views: Used By
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.housingagingchain v5 testing | #338 A |
Unsubsidized Retrofit Cost Intensity (Dollar / sf) Unsubsidized Retrofit Cost Intensity[Cohort,Heating and Cooling System] = MAX(IF THEN ELSE( U Value of Retrofitting Homes[ Cohort, Heating and Cooling System]>1e-06,( Expected Reference Marginal Cost* Reference U Value/(- Sensitivity of Marginal Cost to U Value+1))*((( Reference U Value/ U Value of Retrofitting Homes[ Cohort, Heating and Cooling System])^ Sensitivity of Marginal Cost to U Value-1)-(( Reference U Value/ Optimal U Value for Existing Homes[ Cohort, Heating and Cooling System])^( Sensitivity of Marginal Cost to U Value-1)))+ Fixed Cost per Unit Area[ Cohort],0),0) Description: Total cost of retrofit per square foot when the marginally optimal amount of U value is retrofitted away.Calculated as definite integral of marginal cost of retrofitting, which, at a given U, is Reference MC * (Ref. U / U Value) ^ Sensitivity. The total retrofit function is then found by taking the finite integral of the marginal cost function from the indicated optimal U value to the original U value and adding the fixed cost. This cost can be theoretically negative, but if so no retrofitting will take place as the retrofitting outflow is nonnegative.The "if" statement ensures there are no retrofit costs when there are no houses in a cohort. U value must be greater than 1e-6 as this is the threshold for ZIDZ used in calculating average U. Present In 4 Views:
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.Control | #126 C |
FINAL TIME (Year) = 2050 Description: The final time for the simulation. Present In 1 View: Used By
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(View) Retrofitting Decision Making (23 Variables) |
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Variable Name And Description | HeatPumpModel_v31 | #6 A |
Affinity of Not Retrofitting (dmnl) Affinity of Not Retrofitting[Cohort,Heating and Cooling System] = exp(- Sensitivity of Retrofits to Cost* Perceived Cost of Not Retrofitting[ Cohort, Heating and Cooling System]/ Reference Retrofit Cost) Description: The affinity of not retrofitting; the utility or NPV of not retrofitting is just retrofit costs - energy costs saved. Present In 1 View: Used By
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.housingagingchain v4 testing | #7 A |
Affinity of Retrofitting (dmnl) Affinity of Retrofitting[Cohort,Heating and Cooling System] = exp(- Sensitivity of Retrofits to Cost* Perceived Cost of Retrofitting[ Cohort, Heating and Cooling System]/ Reference Retrofit Cost) Description: Affinity of retrofitting, where utility value is equal to its NPV. Present In 2 Views: Used By
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.housingagingchain v15 | #12 A |
Amoritized Subsidized Retrofit Cost (Dollar / (House * Year)) Amoritized Subsidized Retrofit Cost[Cohort,Heating and Cooling System] = Subsidized Retrofit Cost[ Cohort, Heating and Cooling System]/ Amoritization Period Description: The incurred total retrofit cost amoritized over the specified amoritization period. Present In 3 Views: Used By
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HeatPumpModel_v31 | #40 A |
Average Energy Cost (Dollar / (Year * House)) Average Energy Cost[Cohort,Heating and Cooling System,Retrofitting Status] = Average Cooling Cost[ Cohort, Heating and Cooling System, Retrofitting Status]+ Average Heating Cost[ Cohort, Heating and Cooling System, Retrofitting Status] Description: The average cost of both heating and cooling a home, by grouping. Present In 2 Views: Used By
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.housingagingchain v15 | #41 A |
Average Energy Costs for Retrofitting Home (Dollar / Year / House) Average Energy Costs for Retrofitting Home[Cohort,Heating and Cooling System] = Average Energy Cost[ Cohort, Heating and Cooling System,Open to Retrofitting] Description: Heating costs for each home open to retrofitting, annually, if no further retrofit measures are undertaken. Present In 2 Views: Used By
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.housingagingchain v8 | #42 A |
Average Energy Costs if Retrofitted (Dollar/(Year*House)) Average Energy Costs if Retrofitted[Cohort,Heating and Cooling System] = Optimal Energy Cost[ Cohort, Heating and Cooling System,Open to Retrofitting] Description: Energy costs per year for each retrofitting house if homes retrofit to the optimal U value. Present In 2 Views: Used By
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.housingagingchain v15 | #121 SM,A |
Expected Reference Marginal Cost ((Dollar / sf) / (kBTU / (sf * Year * F))) = SMOOTH( Reference Marginal Cost, Delay in Forming Expectations of Retrofit Costs) Description: Reference marginal cost used in calculating optimal U value. Third order exponential smoothing of reference marginal cost. Present In 4 Views:
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.housingagingchain v15 | #123 A |
Expected Subsidy for Retrofits (Dollar / House) Expected Subsidy for Retrofits[Cohort,Heating and Cooling System,Retrofitting Status] = IF THEN ELSE( Energy Savings[ Cohort, Heating and Cooling System]>= HOMES Cut Off for Savings, HOMES Expected Higher Subsidy, HOMES Expected Lower Lump Sum Subsidy)+ MassSave Expected Subsidy for Retrofits[ Cohort, Heating and Cooling System, Retrofitting Status]+ EEHIC Expected Subsidy for Retrofits[ Cohort, Heating and Cooling System, Retrofitting Status] Description: Total subsidy offered against retrofit cost across both lump sum and proportional subsidy. Present In 4 Views:
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HeatPumpModel_v31 | #182 A |
Indicated Fraction of Homes Retrofitting (dmnl) Indicated Fraction of Homes Retrofitting[Cohort,Heating and Cooling System] = Affinity of Retrofitting[ Cohort, Heating and Cooling System]/( Affinity of Retrofitting[ Cohort, Heating and Cooling System]+ Affinity of Not Retrofitting[ Cohort, Heating and Cooling System]) Description: Proportion of households which are open to retrofitting to the optimum U. This is not necessarily all households, because the optimal U does not take into account fixed costs in retrofit costs, and so for a portion (or all) of them, retrofit costs > energy savings, and so not all (or any) households will retrofit. This also does not indicate households which are actively retrofitting, because if average U is already equal to optimum U then houses which are open to retrofitting have already retrofitted. Present In 2 Views: Used By
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HeatPumpModel_v31 | #248 A |
Optimal Energy Cost (Dollar / (Year * House)) Optimal Energy Cost[Cohort,Heating and Cooling System,Retrofitting Status] = Optimal Cooling Cost[ Cohort, Heating and Cooling System, Retrofitting Status]+ Optimal Heating Cost[ Cohort, Heating and Cooling System, Retrofitting Status] Description: Total energy cost if optimal U value is achieved. Present In 2 Views: Used By
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.housingagingchain v4 testing | #254 A |
Optimal U Value for Existing Homes if no EEHIC Cap (kBTU / (sf * F * Year)) Optimal U Value for Existing Homes if no EEHIC Cap[Cohort,Heating and Cooling System] = Reference U Value*( Expected Reference Marginal Cost*(1- Expected MassSave Proportional Subsidy Rate for Retrofits)*(1- Expected EEHIC Proportional Subsidy Rate for Retrofits)/ Lifetime Marginal Cost Reductions from Retrofitting[ Cohort, Heating and Cooling System])^(1/ Sensitivity of Marginal Cost to U Value) Description: Optimal U Value to retrofit to should achieve if fixed costs are not taken into consideration (e.g., if fixed costs have already been paid) for existing houses). This takes into account the proportional subsidy but not the lump sum. Effect of proportional subsidies are multiplied instead of added, i.e., (1 - subsidy1)(1-subsidy2) instead of (1 - subsidy1 - subsidy2), because costs from state programs are subtracted when calculating federal subsidy in MA (https://www.masssave.com/inflation-reduction-act, "How do Mass Save rebates factor into the calculation of tax credits?")Expression is derived from the marginal energy savings from retrofitting being Energy Price and marginal cost of retrofitting being Reference MC * (1/(U/ Reference U))^Sensitivity and then solving for optimal retrofit when marginal savings equal marginal cost.This is the optimal U value if there were no cap on the Energy Efficiency Home Improvement Credit, i.e., no discontinuity the marginal cost curve. Present In 8 Views:
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HeatPumpModel_v31 | #262 A |
Perceived Cost of Not Retrofitting (Dollar / (House * Year)) Perceived Cost of Not Retrofitting[Cohort,Heating and Cooling System] = (1- Weight on Upfront Cost)* Total Cost of Ownership of Average Home[ Cohort, Heating and Cooling System] Description: Homeowners' perceived cost (or negation of the utility) for not retrofitting their home further, taking into homeowners weighupfront retrofit costs higher. Present In 1 View: Used By
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HeatPumpModel_v31 | #263 A |
Perceived Cost of Retrofitting (Dollar / (House * Year)) Perceived Cost of Retrofitting[Cohort,Heating and Cooling System] = (1- Weight on Upfront Cost)* Total Cost of Ownership of Retrofitted Homes[ Cohort, Heating and Cooling System]+ Weight on Upfront Cost* Amoritized Subsidized Retrofit Cost[ Cohort, Heating and Cooling System] Description: Homeowners' perceived costs (or negation of their utility) for retrofitting their home, taking into account higher costs have less utilty and homeowners weigh upfront retrofit costs higher. Present In 2 Views: Used By
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HeatPumpModel_v31 | #284 C |
Reference Retrofit Cost (Dollar / (House * Year) ) = 8740 Description: Perceived cost of home heating to which households compare the perceived cost of retrofitting to when deciding to retrofit.Taken from average retrofit cost in Less et al. (2021)'s dataset, shown on page 17: https://eta-publications.lbl.gov/sites/default/files/final_walker_-_the_cost_of_decarbonization_and_energy.pdf Present In 2 Views: Used By
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.housingagingchain v9 | #285 C |
Reference U Value (kBTU / (sf * Year * F) ) = 0.006 Description: Reference U Value to ensure base of exponent in marginally optimal U value is dimensionless. This must be equal to or greater than code U value.Value taken as the average of U values of single family homes in MA in 2020 for our sample. Present In 3 Views: Used By
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.housingagingchain v5 testing | #291 C |
Sensitivity of Marginal Cost to U Value (dmnl ) = 3.25 Description: Measures the sensitivity of marginal retrofit costs as a function of optimal U value. In particular, marginal Retrofit Cost is equal to Constant * (U Value retrofitted away ^ Convexity). This must be greater than 1.This is taken from pg. 69 of Caswell (2022), where she calculates the total retrofit cost curve as a function of percent savings as having an exponent of 2.25. Because this is the total retrofit cost curve, the exponent for the marginal cost is -2.25 - 1. Because percent savings is inversely proportional to U, the exponent in the total cost curve will be the negation of 2.25, which is ensured in the marginal cost curve formulation in other variables. Present In 4 Views:
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HeatPumpModel_v31 | #292 C |
Sensitivity of Retrofits to Cost (dmnl ) = 10 Description: Sensitivity of affinity (and fraction of houses retrofitting) to NPV of retrofitting. Present In 2 Views: Used By
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HeatPumpModel_v31 | #313 A |
Total Cost of Ownership of Average Home (Dollar / (Year * House)) Total Cost of Ownership of Average Home[Cohort,Heating and Cooling System] = Average Energy Costs for Retrofitting Home[ Cohort, Heating and Cooling System] Description: Total cost of ownership of a house without any further retrofit costs, i.e., at current energy use. Equivalent to energy costs because no retrofit costs are incurred. Present In 2 Views: Used By
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HeatPumpModel_v31 | #314 A |
Total Cost of Ownership of Retrofitted Homes (Dollar / (House * Year)) Total Cost of Ownership of Retrofitted Homes[Cohort,Heating and Cooling System] = Amoritized Subsidized Retrofit Cost[ Cohort, Heating and Cooling System]+ Average Energy Costs if Retrofitted[ Cohort, Heating and Cooling System] Description: The total cost of ownership of owning a home that has been retrofitted to the optimal U. Present In 1 View: Used By
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HeatPumpModel_v31 | #329 A |
U Value by Grouping (kBTU / (sf * F * Year)) U Value by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = IF THEN ELSE( Housing[ Cohort, Heating and Cooling System, Retrofitting Status]>1e-12, Total U Value[ Cohort, Heating and Cooling System, Retrofitting Status]/ Housing[ Cohort, Heating and Cooling System, Retrofitting Status],0) Description: The average U value in each home by cohort, heating/cooling system, etc. Present In 8 Views:
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.housingagingchain v8 | #339 A |
Unsubsidized Retrofit Cost (Dollar / House) Unsubsidized Retrofit Cost[Cohort,Heating and Cooling System] = Unsubsidized Retrofit Cost Intensity[ Cohort, Heating and Cooling System]* Average Area[ Cohort,Open to Retrofitting] Description: Total retrofit cost without taking into account subsidies. Present In 4 Views:
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.housingagingchain v5 testing | #338 A |
Unsubsidized Retrofit Cost Intensity (Dollar / sf) Unsubsidized Retrofit Cost Intensity[Cohort,Heating and Cooling System] = MAX(IF THEN ELSE( U Value of Retrofitting Homes[ Cohort, Heating and Cooling System]>1e-06,( Expected Reference Marginal Cost* Reference U Value/(- Sensitivity of Marginal Cost to U Value+1))*((( Reference U Value/ U Value of Retrofitting Homes[ Cohort, Heating and Cooling System])^ Sensitivity of Marginal Cost to U Value-1)-(( Reference U Value/ Optimal U Value for Existing Homes[ Cohort, Heating and Cooling System])^( Sensitivity of Marginal Cost to U Value-1)))+ Fixed Cost per Unit Area[ Cohort],0),0) Description: Total cost of retrofit per square foot when the marginally optimal amount of U value is retrofitted away.Calculated as definite integral of marginal cost of retrofitting, which, at a given U, is Reference MC * (Ref. U / U Value) ^ Sensitivity. The total retrofit function is then found by taking the finite integral of the marginal cost function from the indicated optimal U value to the original U value and adding the fixed cost. This cost can be theoretically negative, but if so no retrofitting will take place as the retrofitting outflow is nonnegative.The "if" statement ensures there are no retrofit costs when there are no houses in a cohort. U value must be greater than 1e-6 as this is the threshold for ZIDZ used in calculating average U. Present In 4 Views:
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HeatPumpModel_v31 | #340 C |
Weight on Upfront Cost (dmnl ) = 0.5 Description: How much homeowners weigh upfront (amoritized) costs of retrofits as opposed to the total cost of ownership due to being more perceptive of short-term costs. Present In 2 Views: Used By
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(View) Social Influence in Retrofitting Decisions (1 Variables) |
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Variable Name And Description | .housingagingchain v4 testing | #320 A |
Total Housing Stock (House) = SUM( Housing[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: Total number of houses across all cohorts, heating/cooling systems, and retrofitting status. Present In 2 Views: Used By
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(View) Switching Systems (34 Variables) |
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Variable Name And Description | HeatPumpModel_v31 | #5 A |
Affinity of Heating and Cooling Systems (dmnl) Affinity of Heating and Cooling Systems[Cohort,Heat Pump Heating and Cooling,Retrofitting Status,Heating and Cooling System] = IF THEN ELSE( Cost of Switching Heating and Cooling Systems[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]>0,exp(- Sensitivity of Affinity to Cost* Cost of Switching Heating and Cooling Systems[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]/ Reference Lifetime Cost of Heating and Cooling Systems),0) Affinity of Heating and Cooling Systems[Cohort,Fossil Fuel Heating,Retrofitting Status,Heating and Cooling System] = IF THEN ELSE( Cost of Switching Heating and Cooling Systems[ Cohort, Fossil Fuel Heating, Retrofitting Status, Heating and Cooling System]>0,exp(- Sensitivity of Affinity to Cost* Cost of Switching Heating and Cooling Systems[ Cohort, Fossil Fuel Heating, Retrofitting Status, Heating and Cooling System]/ Reference Lifetime Cost of Heating and Cooling Systems),0) Description: The affinity of switching from each heating and cooling combination to each other one. If the model assumes that no one switches from one combination to another, as indicated by zero in the cost variable, then the affinity is zero. Present In 1 View: Used By
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HeatPumpModel_v31 | #29 A |
Average Area (sf / House) Average Area[Cohort,Retrofitting Status] = ZIDZ( Area[ Cohort, Retrofitting Status], Housing by Cohort and Retrofitting Status[ Cohort, Retrofitting Status]) Description: Average area by cohort and retrofitting status (assume it's the same across heating and cooling systems). Present In 7 Views:
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HeatPumpModel_v31 | #54 A |
Average Lifetime of Cooling Technology (Years) Average Lifetime of Cooling Technology[Heat Pump Heating and Cooling] = 12.5 Average Lifetime of Cooling Technology[Central AC Cooling] = 12.5 Average Lifetime of Cooling Technology[Window AC Cooling] = 9 Average Lifetime of Cooling Technology[No AC Cooling] = NAREPLACEMENT Description: The average lifetime of each cooling system.Central AC data from: https://www.energy.gov/energysaver/central-air-conditioningWindow AC data from: https://www.consumerreports.org/air-conditioner/is-it-time-to-get-a-new-window-air-conditioner-a1532530762/ Present In 1 View: Used By
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HeatPumpModel_v31 | #55 C |
Average Lifetime of Heating Technology (Year) Average Lifetime of Heating Technology[Heat Pump Heating and Cooling] = 12.5 Average Lifetime of Heating Technology[Gas Heating] = 20 Average Lifetime of Heating Technology[Oil Heating] = 20 Description: The average lifetime of each heating system.Heat pump data from: https://glascohvac.com/heating/heat-pumps/long-heat-pump-last/Gas data from: https://www.carrier.com/residential/en/us/products/furnaces/how-long-does-a-furnaces-last/Oil data from: https://modernize.com/hvac/heating-repair-installation/furnace/oil Present In 1 View: Used By
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HeatPumpModel_v31 | #57 C |
Average Time To Consider Switching (Year ) = 15 Description: The average time it takes for a house to consider switching their heating and cooling system. Present In 2 Views: Used By
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HeatPumpModel_v31 | #67 C |
Cooling Degree Days (F ) = 1029 Description: The difference between temperature setpoint (65 F) and outside temperature for heating. Typically called cooling degree days, but units are solely in terms of fahrenheit.Data from degreedays.net, using the weather station for Norwood Memorial Airport, the closest weather station to the center of MA's population, Natick. Use set point of 65°F, in line with industry standard, as at that temperature little heating or cooling is necessary. Present In 3 Views: Used By
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HeatPumpModel_v31 | #71 A |
Cooling Energy Use Under Alternatives (kBTU / (House * Year)) Cooling Energy Use Under Alternatives[Cohort,Heat Pump Heating and Cooling,Not Open to Retrofitting,Heating and Cooling System] = U Value by Grouping[ Cohort, Heat Pump Heating and Cooling,Not Open to Retrofitting]* Average Area[ Cohort,Not Open to Retrofitting]* Cooling Degree Days/ Cooling System Efficiency[ Heating and Cooling System] Cooling Energy Use Under Alternatives[Cohort,Traditional Cooling,Not Open to Retrofitting,Heating and Cooling System] = U Value by Grouping[ Cohort, Traditional Cooling,Not Open to Retrofitting]* Average Area[ Cohort,Not Open to Retrofitting]* Cooling Degree Days/ Cooling System Efficiency[ Heating and Cooling System] Cooling Energy Use Under Alternatives[Cohort,Heating and Cooling System,Retrofitting Status,No AC Cooling] = 0 Cooling Energy Use Under Alternatives[Cohort,Heat Pump Heating and Cooling,Open to Retrofitting,Heating and Cooling System] = MIN( U Value by Grouping[ Cohort, Heat Pump Heating and Cooling,Open to Retrofitting], Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System])* Average Area[ Cohort,Open to Retrofitting]* Cooling Degree Days/ Cooling System Efficiency[ Heating and Cooling System] Cooling Energy Use Under Alternatives[Cohort,Fossil Fuel Heating,Open to Retrofitting,Heating and Cooling System] = MIN( U Value by Grouping[ Cohort, Fossil Fuel Heating,Open to Retrofitting], Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System])* Average Area[ Cohort,Open to Retrofitting]* Cooling Degree Days/ Cooling System Efficiency[ Heating and Cooling System] Description: The cooling energy use of each group, if they were to switch into another heating and cooling source. That is, when they switch, their area and U stays the same, but the energy system's efficiency may change, meaning that each grouping (the first "Heating and Cooling System" subscript) must consider their cooling energy use under alternative systems (the second "Heating and Cooling Source" subscript).Houses that are open to retrofitting consider the optimal U that they'll retrofit to, unless that U is actually greater than their current one. Present In 1 View: Used By
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HeatPumpModel_v31 | #72 A |
Cooling System Efficiency (dmnl) Cooling System Efficiency[Heat Pump Heating and Cooling] = Heat Pump Cooling COP TABLE( Time) Cooling System Efficiency[Central AC Cooling] = 2.93 Cooling System Efficiency[Window AC Cooling] = 2.49* Effect of Air Leakage from Window AC on Efficiency Cooling System Efficiency[No AC Cooling] = NAREPLACEMENT Description: The COP of different air conditioning technologies on an average day. This is not in terms of energy efficiency rating or seasonal efficiency rating, although some are calculated from those figures.For central ac: assume value of tenFor window AC (under portable AC): https://learnmetrics.com/eer-rating/All are very rough, and non-heat pump cooling systems are assumed to have constant efficiency. Present In 4 Views: Used By
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HeatPumpModel_v31 | #73 C |
Cost of Bad Air Conditioning (Dollar / House ) Cost of Bad Air Conditioning[Window AC Cooling] = 80000 Cost of Bad Air Conditioning[No AC Cooling] = 100000 Description: Willingness of Window AC users and those without AC to pay for central AC or heat pumps due to those technologies' inability to heat homes and their noisiness.Chosen to be sufficiently high that very few or no houses choose to keep window AC or no AC. Present In 1 View: Used By
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HeatPumpModel_v31 | #74 C |
Cost of Cooling System Replacement (Dollar / House) Cost of Cooling System Replacement[Heat Pump Heating and Cooling] = Subsidized Cost of Heat Pumps Cost of Cooling System Replacement[Central AC Cooling] = 5800 Cost of Cooling System Replacement[Window AC Cooling] = 1600 Cost of Cooling System Replacement[No AC Cooling] = 0 Description: The cost of installing a cooling system in each house. Assumed to be constant, except for heat pumps.Central AC cost from: https://www.angi.com/articles/how-much-does-installing-new-ac-cost.htmWindow AC cost from: https://homeguide.com/costs/window-ac-unit-cost Present In 1 View: Used By
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HeatPumpModel_v31 | #75 C |
Cost of Heating System Replacement (Dollar / House ) Cost of Heating System Replacement[Heat Pump Heating and Cooling] = Subsidized Cost of Heat Pumps Cost of Heating System Replacement[Gas Heating] = 10000 Cost of Heating System Replacement[Oil Heating] = 7450 Description: The cost of buying and installing a heating system in each house.Took upper limits of estimates for each, since MA tends to be a more expensive state.Oil and gas cost assumed to be constant.Initial heat pump cost is from: https://www.masssave.com/en/residential/rebates-and-incentives/heating-and-cooling/heat-pumps/air-source-heat-pumps, and then I assume that the cost improves in proportion to the trajectory in Mass. gov's deep decarbonization report:Gas furnace cost from: https://www.angi.com/articles/common-gas-furnace-prices.htmOil furnace cost from: https://modernize.com/hvac/heating-repair-installation/furnace/oil Present In 1 View: Used By
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.housingagingchain v15 | #76 A |
Cost of Switching Heating and Cooling Systems (Dollar / House) Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump Only,Retrofitting Status,Heating and Cooling System] = 0 Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump Only,Retrofitting Status,Heat Pump Only] = Total Present Value of Cost[ Cohort,Heat Pump Only, Retrofitting Status,Heat Pump Only] Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump Only,Retrofitting Status,Gas and Central AC] = Total Present Value of Cost[ Cohort,Heat Pump Only, Retrofitting Status,Gas and Central AC]+ Cost of Cooling System Replacement[Gas and Central AC]+ Cost of Heating System Replacement[Gas and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump and Gas,Retrofitting Status,Heating and Cooling System] = 0 Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump and Gas,Retrofitting Status,Heat Pump and Gas] = Total Present Value of Cost[ Cohort,Heat Pump and Gas, Retrofitting Status,Heat Pump and Gas] Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump and Gas,Retrofitting Status,Gas and Central AC] = Total Present Value of Cost[ Cohort,Heat Pump and Gas, Retrofitting Status,Gas and Central AC]+ Cost of Cooling System Replacement[Gas and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Gas and Central AC,Retrofitting Status,Heating and Cooling System] = 0 Cost of Switching Heating and Cooling Systems[Cohort,Gas and Central AC,Retrofitting Status,Heat Pump Only] = Total Present Value of Cost[ Cohort,Gas and Central AC, Retrofitting Status,Heat Pump Only]+ Cost of Heating System Replacement[Heat Pump Only] Cost of Switching Heating and Cooling Systems[Cohort,Gas and Central AC,Retrofitting Status,Heat Pump and Gas] = Cost of Heating System Replacement[Heat Pump and Gas]+ Total Present Value of Cost[ Cohort,Gas and Central AC, Retrofitting Status,Heat Pump and Gas] Cost of Switching Heating and Cooling Systems[Cohort,Gas and Central AC,Retrofitting Status,Gas and Central AC] = Total Present Value of Cost[ Cohort,Gas and Central AC, Retrofitting Status,Gas and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Gas and Window or No AC,Retrofitting Status,Heating and Cooling System] = 0 Cost of Switching Heating and Cooling Systems[Cohort,Gas and Window or No AC,Retrofitting Status,Heat Pump Only] = Cost of Heating System Replacement[Heat Pump Only]+ Total Present Value of Cost[ Cohort, Gas and Window or No AC, Retrofitting Status,Heat Pump Only] Cost of Switching Heating and Cooling Systems[Cohort,Gas and Window or No AC,Retrofitting Status,Heat Pump and Gas] = Cost of Heating System Replacement[Heat Pump Only]+ Total Present Value of Cost[ Cohort, Gas and Window or No AC, Retrofitting Status,Heat Pump and Gas] Cost of Switching Heating and Cooling Systems[Cohort,Gas and Window or No AC,Retrofitting Status,Gas and Central AC] = Cost of Cooling System Replacement[Gas and Central AC]+ Total Present Value of Cost[ Cohort, Gas and Window or No AC, Retrofitting Status,Gas and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump and Gas,Retrofitting Status,Heat Pump Only] = Total Present Value of Cost[ Cohort,Heat Pump and Gas, Retrofitting Status,Heat Pump Only] Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump Only,Retrofitting Status,Oil and Central AC] = Cost of Heating System Replacement[Oil and Central AC]+ Cost of Cooling System Replacement[Oil and Central AC]+ Total Present Value of Cost[ Cohort,Heat Pump Only, Retrofitting Status,Oil and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Oil and Central AC,Retrofitting Status,Heating and Cooling System] = 0 Cost of Switching Heating and Cooling Systems[Cohort,Oil and Central AC,Retrofitting Status,Heat Pump Only] = Cost of Heating System Replacement[Heat Pump Only]+ Total Present Value of Cost[ Cohort,Oil and Central AC, Retrofitting Status,Heat Pump Only] Cost of Switching Heating and Cooling Systems[Cohort,Oil and Central AC,Retrofitting Status,Gas and Central AC] = Cost of Heating System Replacement[Gas and Central AC]+ Total Present Value of Cost[ Cohort,Oil and Central AC, Retrofitting Status,Gas and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Oil and Central AC,Retrofitting Status,Heat Pump and Oil] = Cost of Heating System Replacement[Heat Pump and Oil]+ Total Present Value of Cost[ Cohort,Oil and Central AC, Retrofitting Status,Heat Pump and Oil] Cost of Switching Heating and Cooling Systems[Cohort,Oil and Central AC,Retrofitting Status,Oil and Central AC] = Total Present Value of Cost[ Cohort,Oil and Central AC, Retrofitting Status,Oil and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Oil and Window or No AC,Retrofitting Status,Heating and Cooling System] = 0 Cost of Switching Heating and Cooling Systems[Cohort,Oil and Window or No AC,Retrofitting Status,Heat Pump Only] = Cost of Heating System Replacement[Heat Pump Only]+ Total Present Value of Cost[ Cohort, Oil and Window or No AC, Retrofitting Status,Heat Pump Only] Cost of Switching Heating and Cooling Systems[Cohort,Oil and Window or No AC,Retrofitting Status,Gas and Central AC] = Cost of Heating System Replacement[Gas and Central AC]+ Cost of Cooling System Replacement[Gas and Central AC]+ Total Present Value of Cost[ Cohort, Oil and Window or No AC, Retrofitting Status,Gas and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Oil and Window or No AC,Retrofitting Status,Heat Pump and Oil] = Cost of Heating System Replacement[Heat Pump and Oil]+ Total Present Value of Cost[ Cohort, Oil and Window or No AC, Retrofitting Status,Heat Pump and Oil] Cost of Switching Heating and Cooling Systems[Cohort,Oil and Window or No AC,Retrofitting Status,Oil and Central AC] = Cost of Cooling System Replacement[Oil and Central AC]+ Total Present Value of Cost[ Cohort, Oil and Window or No AC, Retrofitting Status,Oil and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump and Oil,Retrofitting Status,Heating and Cooling System] = 0 Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump and Oil,Retrofitting Status,Heat Pump Only] = Total Present Value of Cost[ Cohort,Heat Pump Only, Retrofitting Status,Heat Pump Only] Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump and Oil,Retrofitting Status,Heat Pump and Gas] = Cost of Heating System Replacement[Gas and Central AC]+ Total Present Value of Cost[ Cohort,Heat Pump and Oil, Retrofitting Status,Heat Pump and Gas] Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump and Oil,Retrofitting Status,Oil and Central AC] = Cost of Cooling System Replacement[Oil and Central AC]+ Total Present Value of Cost[ Cohort,Heat Pump and Oil, Retrofitting Status,Oil and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump and Oil,Retrofitting Status,Heat Pump and Oil] = Total Present Value of Cost[ Cohort,Heat Pump and Oil, Retrofitting Status,Heat Pump and Oil] Description: Affinities of each heating and cooling combination based on which heating and cooling combination houses have. This the numerator of a logit function. Assumes that retirement of systems is not determined by age, and so homes considering to switch heating systems do not have to replace their current one-- but they do have to purchase a system they currently do not have. The cost is determined by present cost of operating (i.e., opeating a system for infinite horizon, as it's included in sale price), in addition to current replacement costs if house does not have a system they're switching into. Any switches we assume are not possible we list as being 0. Present In 1 View: Used By
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HeatPumpModel_v31 | #90 C |
Discount Rate (1 / Year ) = 0.05 Description: Discount rate for discounting energy savings cash flows.Average and bounds from demand-side discount rate from MassDEP's analysis of pathways for net zero (pg. 103): https://www.mass.gov/doc/energy-pathways-for-deep-decarbonization-report/downloadhttps://www.mass.gov/doc/energy-pathways-for-deep-decarbonization-report/download Present In 4 Views: Used By
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HeatPumpModel_v31 | #111 SM,A |
Expected Cooling Energy Price (Dollar / kBTU) = SMOOTH3( Cooling Energy Price, Delay in Forming Expectations of Energy Price) Description: Energy price for one kBTU of cooling used to calculate optimal U value. Third order exponential smoothing of cooling energy price. Present In 4 Views: Used By
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.housingagingchain v15 | #115 SM,A |
Expected Heating Energy Price (Dollar / kBTU) Expected Heating Energy Price[Heating and Cooling System] = SMOOTH3( Heating Energy Price[ Heating and Cooling System], Delay in Forming Expectations of Energy Price) Description: Energy price for one kBTU of heating used to calculate optimal U value. Third order exponential smoothing of heating energy price. Present In 6 Views:
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HeatPumpModel_v31 | #122 A |
Expected Subsidy for Heat Pumps (Dollar / House) = MassSave Expected Lump Sum Subsidy for Heat Pumps+ IRA Expected Proportional Subsidy for Heat Pumps Description: Total subsidy offered against retrofit cost across both lump sum and proportional subsidies. Present In 2 Views: Used By
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.housingagingchain v5 testing | #130 A |
Fraction of Houses Switching (dmnl) Fraction of Houses Switching[Cohort,Heat Pump Heating and Cooling,Retrofitting Status,Heating and Cooling System] = Affinity of Heating and Cooling Systems[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]/SUM( Affinity of Heating and Cooling Systems[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System!]) Fraction of Houses Switching[Cohort,Gas Heating,Retrofitting Status,Heating and Cooling System] = Affinity of Heating and Cooling Systems[ Cohort, Gas Heating, Retrofitting Status, Heating and Cooling System]/SUM( Affinity of Heating and Cooling Systems[ Cohort, Gas Heating, Retrofitting Status, Heating and Cooling System!]) Fraction of Houses Switching[Cohort,Oil Heating,Retrofitting Status,Heating and Cooling System] = Affinity of Heating and Cooling Systems[ Cohort, Oil Heating, Retrofitting Status, Heating and Cooling System]/SUM( Affinity of Heating and Cooling Systems[ Cohort, Oil Heating, Retrofitting Status, Heating and Cooling System!]) Description: Fraction of houses considering switching switching from one to another. We also model "switching" from one system to the same system, as we keep track of total heat pump sales. Present In 2 Views: Used By
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HeatPumpModel_v31 | #141 C |
Heating Degree Days (F ) = 5026 Description: The difference between temperature setpoint (65 F) and outside temperature.Data from degreedays.net, using the weather station for Norwood Memorial Airport, the closest weather station to the center of MA's population, Natick. In line with industry standard, use set point of 65°F, as thattemperature little heating or cooling is needed. Present In 3 Views: Used By
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.housingagingchain v5 testing | #143 A |
Heating Energy Price (Dollar / (kBTU)) Heating Energy Price[Heating and Cooling System] = Initial Heating Energy Price[ Heating and Cooling System]* Input 0 Description: The price to heat a home (which in this model we assume can only have one size) 1 kBTU, multiplied by the test input. Present In 6 Views:
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HeatPumpModel_v31 | #144 A |
Heating Energy Use Under Alternatives (kBTU / (House * Year)) Heating Energy Use Under Alternatives[Cohort,Heat Pump Heating and Cooling,Not Open to Retrofitting,Heating and Cooling System] = U Value by Grouping[ Cohort, Heat Pump Heating and Cooling,Not Open to Retrofitting]* Average Area[ Cohort,Not Open to Retrofitting]* Heating Degree Days/ Heating System Efficiency[ Heating and Cooling System] Heating Energy Use Under Alternatives[Cohort,Fossil Fuel Heating,Not Open to Retrofitting,Heating and Cooling System] = U Value by Grouping[ Cohort, Fossil Fuel Heating,Not Open to Retrofitting]* Average Area[ Cohort,Not Open to Retrofitting]* Heating Degree Days/ Heating System Efficiency[ Heating and Cooling System] Heating Energy Use Under Alternatives[Cohort,Heat Pump Heating and Cooling,Open to Retrofitting,Heating and Cooling System] = MIN( U Value by Grouping[ Cohort, Heat Pump Heating and Cooling,Open to Retrofitting], Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System])* Average Area[ Cohort,Open to Retrofitting]* Heating Degree Days/ Heating System Efficiency[ Heating and Cooling System] Heating Energy Use Under Alternatives[Cohort,Fossil Fuel Heating,Open to Retrofitting,Heating and Cooling System] = MIN( U Value by Grouping[ Cohort, Fossil Fuel Heating,Open to Retrofitting], Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System])* Average Area[ Cohort,Open to Retrofitting]* Heating Degree Days/ Heating System Efficiency[ Heating and Cooling System] Description: The heating energy use of each group, if they were to switch into another Heating and Cooling System. That is, when they switch, their area and U stays the same, but the energy system's efficiency may change, meaning that each grouping (the first "Heating and Cooling System" subscript) must consider their heating energy use under alternative systems (the second "Heating and Cooling System" subscript). Houses about to retrofit use the U value that they will retrofit too; using their current U-value that they'll retrofit away from is too short cited. Present In 1 View: Used By
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HeatPumpModel_v31 | #145 A |
Heating System Efficiency (dmnl) Heating System Efficiency[Heat Pump Heating and Cooling] = Heat Pump Heating COP TABLE( Time) Heating System Efficiency[Gas Heating] = Gas COP TABLE( Time) Heating System Efficiency[Oil Heating] = Oil COP TABLE( Time) Description: The COP (for heat pumps) or annual fuel utilization efficiency of heating systems. Varies over time. Present In 3 Views: Used By
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.housingagingchain v4 testing | #254 A |
Optimal U Value for Existing Homes if no EEHIC Cap (kBTU / (sf * F * Year)) Optimal U Value for Existing Homes if no EEHIC Cap[Cohort,Heating and Cooling System] = Reference U Value*( Expected Reference Marginal Cost*(1- Expected MassSave Proportional Subsidy Rate for Retrofits)*(1- Expected EEHIC Proportional Subsidy Rate for Retrofits)/ Lifetime Marginal Cost Reductions from Retrofitting[ Cohort, Heating and Cooling System])^(1/ Sensitivity of Marginal Cost to U Value) Description: Optimal U Value to retrofit to should achieve if fixed costs are not taken into consideration (e.g., if fixed costs have already been paid) for existing houses). This takes into account the proportional subsidy but not the lump sum. Effect of proportional subsidies are multiplied instead of added, i.e., (1 - subsidy1)(1-subsidy2) instead of (1 - subsidy1 - subsidy2), because costs from state programs are subtracted when calculating federal subsidy in MA (https://www.masssave.com/inflation-reduction-act, "How do Mass Save rebates factor into the calculation of tax credits?")Expression is derived from the marginal energy savings from retrofitting being Energy Price and marginal cost of retrofitting being Reference MC * (1/(U/ Reference U))^Sensitivity and then solving for optimal retrofit when marginal savings equal marginal cost.This is the optimal U value if there were no cap on the Energy Efficiency Home Improvement Credit, i.e., no discontinuity the marginal cost curve. Present In 8 Views:
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.housingagingchain v5 testing | #265 C |
Present Value of Cooling Operating Costs (Dollars / (House)) Present Value of Cooling Operating Costs[Cohort,Heat Pump Heating and Cooling,Retrofitting Status,Heating and Cooling System] = ( Expected Cooling Energy Price* Cooling Energy Use Under Alternatives[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]/ Discount Rate)*(1-exp(- Discount Rate* Average Lifetime of Cooling Technology[ Heating and Cooling System])) Present Value of Cooling Operating Costs[Cohort,Traditional Cooling,Retrofitting Status,Heating and Cooling System] = ( Expected Cooling Energy Price* Cooling Energy Use Under Alternatives[ Cohort, Traditional Cooling, Retrofitting Status, Heating and Cooling System]/ Discount Rate)*(1-exp(- Discount Rate* Average Lifetime of Cooling Technology[ Heating and Cooling System])) Present Value of Cooling Operating Costs[Cohort,Heating and Cooling System,Retrofitting Status,No AC Cooling] = 0 Description: The present value of cost to operate a cooling system, from the perspective of a house with one heating and cooling system (first H & C subscript) to another (the second). The operating cost is just the energy price times usage for cooling. Assumes constant operating costs and discount rate, with costs ending at the end of the average lifetime. Present In 1 View: Used By
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.housingagingchain v5 testing | #266 A |
Present Value of Heating Operating Costs (Dollar / (House)) Present Value of Heating Operating Costs[Cohort,Heat Pump Heating and Cooling,Retrofitting Status,Heating and Cooling System] = ( Expected Heating Energy Price[ Heating and Cooling System]* Heating Energy Use Under Alternatives[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]/ Discount Rate)*(1-exp(- Discount Rate* Average Lifetime of Heating Technology[ Heating and Cooling System])) Present Value of Heating Operating Costs[Cohort,Fossil Fuel Heating,Retrofitting Status,Heating and Cooling System] = ( Expected Heating Energy Price[ Heating and Cooling System]* Heating Energy Use Under Alternatives[ Cohort, Fossil Fuel Heating, Retrofitting Status, Heating and Cooling System]/ Discount Rate)*(1-exp(- Discount Rate* Average Lifetime of Heating Technology[ Heating and Cooling System])) Description: The present value of cost to operate a heating system, from the perspective of a house with one heating and cooling system (first H & C subscript) to another (the second). The operating cost is just the energy price times usage for cooling. Assumes constant operating costs and continuous discount rate, with costs ending at the end of the average lifetime. Present In 1 View: Used By
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HeatPumpModel_v31 | #267 A |
Present Value of Operating Costs (Dollar / (House) ) Present Value of Operating Costs[Cohort,Heat Pump Heating and Cooling,Retrofitting Status,Heating and Cooling System] = Present Value of Cooling Operating Costs[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]+ Present Value of Heating Operating Costs[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System] Present Value of Operating Costs[Cohort,Fossil Fuel Heating,Retrofitting Status,Heating and Cooling System] = Present Value of Cooling Operating Costs[ Cohort, Fossil Fuel Heating, Retrofitting Status, Heating and Cooling System]+ Present Value of Heating Operating Costs[ Cohort, Fossil Fuel Heating, Retrofitting Status, Heating and Cooling System] Description: Operating costs of each heating and cooling technology, in the order: heat pump only, central AC, window AC (two units), no AC, gas, oil.For window AC and no AC, this is includes the cost of the lack of comfort these technologies have. That is, it includes the amount of money that users of those technologies would pay each month to use central AC or heat pumps instead due to window ACs' noise or both technologies' inability to properly cool homes.Rough data from:Heat pump and central ac: https://carbonswitch.com/heat-pump-costs/Window AC ( 70/year): https://applianceanalysts.com/window-ac-running-costs/Gas: https://homeguide.com/costs/gas-furnace-pricesOil: https://homeguide.com/costs/oil-furnace-cost Present In 1 View: Used By
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HeatPumpModel_v31 | #268 C |
Present Value Replacement Cost (Dollar / House) Present Value Replacement Cost[Heating and Cooling System] = Cost of Cooling System Replacement[ Heating and Cooling System]/( Average Lifetime of Cooling Technology[ Heating and Cooling System]* Discount Rate)+ Cost of Heating System Replacement[ Heating and Cooling System]/( Average Lifetime of Heating Technology[ Heating and Cooling System]* Discount Rate) Present Value Replacement Cost[Heat Pump Heating and Cooling] = Cost of Cooling System Replacement[ Heat Pump Heating and Cooling]/( Average Lifetime of Cooling Technology[ Heat Pump Heating and Cooling]* Discount Rate) Present Value Replacement Cost[No AC Cooling] = 0 Description: Present value of replacement costs of both Heating and Cooling System given continuous discounting and where systems have a constant hazard rate of failure. On average, 1/L of the systems will break every year, because we assume failure rate is constant and where L is the lifetime of the system. Therefore, the average home will incur an average cost of R/L (R is replacement or upfront cost) every year. We assume that the household ignores the fact that after a finite time they'll leave the house or sell the system, because we assume they'll be able to sell the system at a price equal to the NPV at that time. Thus, selling the system or moving house does not change the NPV of the system when making the decision to switch.For houses that primarily use heat pumps, this formulation assures no double counting. Present In 1 View: Used By
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HeatPumpModel_v31 | #282 C |
Reference Lifetime Cost of Heating and Cooling Systems (Dollar / House ) = 30000 Description: The reference value of lifetime heating and cooling combinations when people calculate affinity of each combo. Hand calibrated to roughly match heat pump sales in https://www.masssave.com/en/about/news-and-events/news/mass-save-sponsors-announce-record-number-of-heat-pump-installations-across-massachusetts Present In 1 View: Used By
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HeatPumpModel_v31 | #290 C |
Sensitivity of Affinity to Cost (dmnl ) = 10 Description: Sensitivity of affinity to each heating and cooling combination having higher cost. The higher this, the fewer houses will convert to more expensive combinations.Calculated by hand calibration-- value ensures that amount of heat pumps sold 2020 - 2024 begins at about 10K and goes to about 20K in 2024, in accordance with MassSave data from https://www.masssave.com/en/about/news-and-events/news/mass-save-sponsors-announce-record-number-of-heat-pump-installations-across-massachusetts Present In 1 View: Used By
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HeatPumpModel_v31 | #303 A |
Subsidized Cost of Heat Pumps (Dollar / House) = MAX(0, Unsubsidized Cost of Heat Pumps- Expected Subsidy for Heat Pumps) Description: The upfront cost of heat pump once subsidies are taken into account. Present In 1 View: Used By
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HeatPumpModel_v31 | #316 A |
Total Heat Pump Sales (House / Year) = SUM( Houses Switching Sources[ Cohort!, Heating and Cooling System!, Retrofitting Status!,Heat Pump Only]+ Houses Switching Sources[ Cohort!, Heating and Cooling System!, Retrofitting Status!,Heat Pump and Gas]+ Houses Switching Sources[ Cohort!, Heating and Cooling System!, Retrofitting Status!,Heat Pump and Oil]) Description: Number of houses buying heat pumps every year. Present In 3 Views: Used By
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HeatPumpModel_v31 | #323 A |
Total Present Value of Cost (Dollar / House) Total Present Value of Cost[Cohort,Heat Pump Heating and Cooling,Retrofitting Status,Heating and Cooling System] = Present Value of Operating Costs[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]+ Present Value Replacement Cost[ Heating and Cooling System]+ Cost of Bad Air Conditioning[ Heating and Cooling System] Total Present Value of Cost[Cohort,Fossil Fuel Heating,Retrofitting Status,Heating and Cooling System] = Present Value of Operating Costs[ Cohort, Fossil Fuel Heating, Retrofitting Status, Heating and Cooling System]+ Present Value Replacement Cost[ Heating and Cooling System]+ Cost of Bad Air Conditioning[ Heating and Cooling System] Description: Total net present value of each heating and cooling combination. Assume that for systems with fossil fuel backups, the backup system is used so sparingly that its operating costs are negligible. Present In 1 View: Used By
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HeatPumpModel_v31 | #329 A |
U Value by Grouping (kBTU / (sf * F * Year)) U Value by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = IF THEN ELSE( Housing[ Cohort, Heating and Cooling System, Retrofitting Status]>1e-12, Total U Value[ Cohort, Heating and Cooling System, Retrofitting Status]/ Housing[ Cohort, Heating and Cooling System, Retrofitting Status],0) Description: The average U value in each home by cohort, heating/cooling system, etc. Present In 8 Views:
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HeatPumpModel_v31 | #336 A,T |
Unsubsidized Cost of Heat Pump Over Time TABLE (Dollar/ House) Unsubsidized Cost of Heat Pump Over Time TABLE([(2020,5000)-(2050,10000)],(2020,22000),(2030,20483.7 ),(2040,18967.3),(2050,17448.6)) ![]() Description: The cost of installing and buying a heat pump over time. Initial value taken from: https://www.masssave.com/en/residential/rebates-and-incentives/heating-and-cooling/heat-pumps/air-source-heat-pumps, and then assume that ratio of future prices to initial is the same as average of reference and ductless heat pumps in MassDEP's Energy Pathways Report (pg. 97): https://www.mass.gov/doc/energy-pathways-for-deep-decarbonization-report/download. (That is, I took the ratio of the initial price to the initial price in that report, then I multiplied that ratio times all projections of future heat pump prices). I was unable to use the MassDEP report's prices directly, because they are based on national estimates from NREL, and MA is typically a more expensive state. In particular, the MassDEP projections say that heat pumps cost only $9K, but MassSave subsidy is $10K!Assumes rates of change are linear between projected points. Present In 1 View: Used By
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HeatPumpModel_v31 | #337 A |
Unsubsidized Cost of Heat Pumps (Dollar / House) = Unsubsidized Cost of Heat Pump Over Time TABLE( Time) Description: The unsubsidized cost of heat pumps, instantiated at each time. Present In 3 Views: Used By
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(View) U Value of Housing Starts (18 Variables) |
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Variable Name And Description | .housingagingchain v15 | #4 A |
Additional Cost of Building to U Value (Dollar / sf) Additional Cost of Building to U Value[Cohort,Heating and Cooling System] = ((1- Expected MassSave Proportional Subsidy Rate for Retrofits)* Expected Reference Marginal Cost/(1- Sensitivity of Marginal Cost to U Value))*((( Reference U Value/ Code U)^ Sensitivity of Marginal Cost to U Value)* Code U-(( Reference U Value/ Optimal U for New Homes[ Cohort, Heating and Cooling System])^( Sensitivity of Marginal Cost to U Value))* Optimal U for New Homes[ Cohort, Heating and Cooling System])- Expected Lump Sum Subsidy Intensity[New Housing] Description: Assuming optimal U is lower than code U, additional cost of building to optimal U instead of code u. If this cost is negative and optimal U < code U, then building to optimal U is cheaper than building to code. Lump sum subsidies are assumed to only apply to houses that are built to be more energy efficient than code. Calculated using the same method as unsubsidized retrofit costs. Present In 1 View: Used By
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HeatPumpModel_v31 | #28 A |
Average Area of Housing Starts (sf / House) = Increase in Area per Year*( Time- INITIAL TIME)+ Initial Average Area of Housing Starts Description: The average area of housing starts. Present In 2 Views: Used By
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.housingagingchain v18 | #65 L |
Code U (kBTU / (sf * Year * F)) = ∫- Decrease in Code U dt + Initial Code U Value Description: U of house that is built to standard code.For initial paper, assume that it's constant at a level in between average U and optimal U. Present In 2 Views: Used By
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.housingagingchain v18 | #84 F,A |
Decrease in Code U (kBTU / (sf * Year * F) / Year) = Code U* Fractional Decrease in Code U Description: The change in code U from policy. Present In 1 View: Used By
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HeatPumpModel_v31 | #90 C |
Discount Rate (1 / Year ) = 0.05 Description: Discount rate for discounting energy savings cash flows.Average and bounds from demand-side discount rate from MassDEP's analysis of pathways for net zero (pg. 103): https://www.mass.gov/doc/energy-pathways-for-deep-decarbonization-report/downloadhttps://www.mass.gov/doc/energy-pathways-for-deep-decarbonization-report/download Present In 4 Views: Used By
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.housingagingchain v15 | #115 SM,A |
Expected Heating Energy Price (Dollar / kBTU) Expected Heating Energy Price[Heating and Cooling System] = SMOOTH3( Heating Energy Price[ Heating and Cooling System], Delay in Forming Expectations of Energy Price) Description: Energy price for one kBTU of heating used to calculate optimal U value. Third order exponential smoothing of heating energy price. Present In 6 Views:
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.housingagingchain v15 | #117 A |
Expected Lump Sum Subsidy Intensity (Dollar / sf) Expected Lump Sum Subsidy Intensity[Retrofit Cost] = HOMES Expected Lower Lump Sum Subsidy/ Average Area of Housing Starts Description: Lump sum subsidy for retrofits per square foot. Present In 1 View: Used By
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.housingagingchain v15 | #119 SM,A |
Expected MassSave Proportional Subsidy Rate for Retrofits (dmnl) = SMOOTH3( Implemented MassSave Subsidy Proportional Rate for Retrofits, Delay in Changing Subsidy Expectations)* Proportional Subsidy Switch for Retrofits Description: Expected proportional subsidy rate that lowers subsidized retrofit costs, taking into account information delays. Present In 4 Views:
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.housingagingchain v15 | #121 SM,A |
Expected Reference Marginal Cost ((Dollar / sf) / (kBTU / (sf * Year * F))) = SMOOTH( Reference Marginal Cost, Delay in Forming Expectations of Retrofit Costs) Description: Reference marginal cost used in calculating optimal U value. Third order exponential smoothing of reference marginal cost. Present In 4 Views:
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HeatPumpModel_v31 | #135 C |
Fractional Decrease in Code U (1 / Year ) = 0 Description: Fractional decrease in code per year. Exogenous and set by policymakers in the real world. For initial paper, assume that code U is constant. Present In 1 View: Used By
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.housingagingchain v15 | #149 SM,A |
HOMES Expected Lower Lump Sum Subsidy (Dollar / House) = SMOOTH3( HOMES Implemented Lower Subsidy, Delay in Changing Subsidy Expectations) Description: Expected lump sum subsidy that lowers subsidized retrofit costs, taking into account information delays. Present In 3 Views: Used By
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HeatPumpModel_v31 | #188 LI,C |
Initial Code U Value (kBTU / (sf * F * Year)) = 0.003 Description: The initial value of code U. For initial paper, assume that this is between initial optimal U (nearly 0) and average U (0.006). Present In 1 View: Used By
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HeatPumpModel_v31 | #210 A |
Marginal Cooling Cost Reduction from Retrofitting (Dollar * F / (kBTU)) Marginal Cooling Cost Reduction from Retrofitting[Cohort,Heating and Cooling System] = Expected Cooling Energy Price* Cooling Degree Days/ Cooling System Efficiency[ Heating and Cooling System] Description: The marginal reduction in heating costs per square foot from retrofitting away one unit of U. Calculated as the derivative of total cooling energy costs with respect to U, where total cooling energy costs are Cooling Energy Price * Cooling Energy Use Per Square Foot, and the latter is U value * Area * Cooling Temperature Differential (CDD) / Area. Present In 2 Views: Used By
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.housingagingchain v15 | #212 A |
Marginal Cost Reductions from Retrofitting (Dollar * F / kBTU) Marginal Cost Reductions from Retrofitting[Cohort,Heating and Cooling System] = Marginal Cooling Cost Reduction from Retrofitting[ Cohort, Heating and Cooling System]+ Marginal Heating Cost Reduction from Retrofitting[ Cohort, Heating and Cooling System] Description: Total cost reductions from retrofitting away one unit of U value for existing homes, including reductions in both heating and cooling costs. Present In 2 Views: Used By
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.housingagingchain v18 | #253 A |
Optimal U for New Homes (kBTU / (sf * Year * F)) Optimal U for New Homes[Cohort,Heating and Cooling System] = (( Expected Reference Marginal Cost/( Marginal Cost Reductions from Retrofitting[ Cohort, Heating and Cooling System]/ Discount Rate))^(1/ Sensitivity of Marginal Cost to U Value))* Reference U Value*(1- Expected MassSave Proportional Subsidy Rate for Retrofits) Description: The optimal U for houses being built, taking into account energy savings and construction costs. Calculated in a similar manner to the optimal U for existing homes. Present In 2 Views: Used By
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.housingagingchain v9 | #285 C |
Reference U Value (kBTU / (sf * Year * F) ) = 0.006 Description: Reference U Value to ensure base of exponent in marginally optimal U value is dimensionless. This must be equal to or greater than code U value.Value taken as the average of U values of single family homes in MA in 2020 for our sample. Present In 3 Views: Used By
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.housingagingchain v5 testing | #291 C |
Sensitivity of Marginal Cost to U Value (dmnl ) = 3.25 Description: Measures the sensitivity of marginal retrofit costs as a function of optimal U value. In particular, marginal Retrofit Cost is equal to Constant * (U Value retrofitted away ^ Convexity). This must be greater than 1.This is taken from pg. 69 of Caswell (2022), where she calculates the total retrofit cost curve as a function of percent savings as having an exponent of 2.25. Because this is the total retrofit cost curve, the exponent for the marginal cost is -2.25 - 1. Because percent savings is inversely proportional to U, the exponent in the total cost curve will be the negation of 2.25, which is ensured in the marginal cost curve formulation in other variables. Present In 4 Views:
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.housingagingchain v18 | #332 A |
U Value of Housing Starts (kBTU / (Year * F * sf)) U Value of Housing Starts[Cohort,Heating and Cooling System] = IF THEN ELSE( Additional Cost of Building to U Value[ Cohort, Heating and Cooling System]<0:AND: Optimal U for New Homes[ Cohort, Heating and Cooling System]< Code U, Optimal U for New Homes[ Cohort, Heating and Cooling System], Code U) Description: Equal to optimal U Value if it is lower than code U value and it is cheaper to build to lower U value. Otherwise, developers just build to code. Present In 2 Views: Used By
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Top | (Group) . (1 Variables) | ||
Variable Name And Description | . | #194 A |
Initial Housing Starts (House/Year) Initial Housing Starts[Heating and Cooling System] = Total Initial Housing Starts/ELMCOUNT( Heating and Cooling System) Description: Initial value of housing starts, initialized at 10 total houses. Present In 1 View: Used By |
Top | (Group) .Control (4 Variables) | ||
Variable Name And Description | .Control | #126 C |
FINAL TIME (Year) = 2050 Description: The final time for the simulation. Present In 1 View: Used By
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.Control | #196 C |
INITIAL TIME (Year) = 2020 Description: The initial time for the simulation. Present In 3 Views: Used By
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.Control | #289 A |
SAVEPER (Year ) = TIME STEP Description: The frequency with which output is stored. Present In 0 Views: |
.Control | #306 C |
TIME STEP (Year ) = 0.03125 Description: The time step for the simulation. Present In 1 View: Used By
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Top | (Group) .housingagingchain v15 (28 Variables) | ||
Variable Name And Description | .housingagingchain v15 | #4 A |
Additional Cost of Building to U Value (Dollar / sf) Additional Cost of Building to U Value[Cohort,Heating and Cooling System] = ((1- Expected MassSave Proportional Subsidy Rate for Retrofits)* Expected Reference Marginal Cost/(1- Sensitivity of Marginal Cost to U Value))*((( Reference U Value/ Code U)^ Sensitivity of Marginal Cost to U Value)* Code U-(( Reference U Value/ Optimal U for New Homes[ Cohort, Heating and Cooling System])^( Sensitivity of Marginal Cost to U Value))* Optimal U for New Homes[ Cohort, Heating and Cooling System])- Expected Lump Sum Subsidy Intensity[New Housing] Description: Assuming optimal U is lower than code U, additional cost of building to optimal U instead of code u. If this cost is negative and optimal U < code U, then building to optimal U is cheaper than building to code. Lump sum subsidies are assumed to only apply to houses that are built to be more energy efficient than code. Calculated using the same method as unsubsidized retrofit costs. Present In 1 View: Used By
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.housingagingchain v15 | #12 A |
Amoritized Subsidized Retrofit Cost (Dollar / (House * Year)) Amoritized Subsidized Retrofit Cost[Cohort,Heating and Cooling System] = Subsidized Retrofit Cost[ Cohort, Heating and Cooling System]/ Amoritization Period Description: The incurred total retrofit cost amoritized over the specified amoritization period. Present In 3 Views: Used By
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.housingagingchain v15 | #41 A |
Average Energy Costs for Retrofitting Home (Dollar / Year / House) Average Energy Costs for Retrofitting Home[Cohort,Heating and Cooling System] = Average Energy Cost[ Cohort, Heating and Cooling System,Open to Retrofitting] Description: Heating costs for each home open to retrofitting, annually, if no further retrofit measures are undertaken. Present In 2 Views: Used By
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.housingagingchain v15 | #76 A |
Cost of Switching Heating and Cooling Systems (Dollar / House) Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump Only,Retrofitting Status,Heating and Cooling System] = 0 Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump Only,Retrofitting Status,Heat Pump Only] = Total Present Value of Cost[ Cohort,Heat Pump Only, Retrofitting Status,Heat Pump Only] Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump Only,Retrofitting Status,Gas and Central AC] = Total Present Value of Cost[ Cohort,Heat Pump Only, Retrofitting Status,Gas and Central AC]+ Cost of Cooling System Replacement[Gas and Central AC]+ Cost of Heating System Replacement[Gas and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump and Gas,Retrofitting Status,Heating and Cooling System] = 0 Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump and Gas,Retrofitting Status,Heat Pump and Gas] = Total Present Value of Cost[ Cohort,Heat Pump and Gas, Retrofitting Status,Heat Pump and Gas] Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump and Gas,Retrofitting Status,Gas and Central AC] = Total Present Value of Cost[ Cohort,Heat Pump and Gas, Retrofitting Status,Gas and Central AC]+ Cost of Cooling System Replacement[Gas and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Gas and Central AC,Retrofitting Status,Heating and Cooling System] = 0 Cost of Switching Heating and Cooling Systems[Cohort,Gas and Central AC,Retrofitting Status,Heat Pump Only] = Total Present Value of Cost[ Cohort,Gas and Central AC, Retrofitting Status,Heat Pump Only]+ Cost of Heating System Replacement[Heat Pump Only] Cost of Switching Heating and Cooling Systems[Cohort,Gas and Central AC,Retrofitting Status,Heat Pump and Gas] = Cost of Heating System Replacement[Heat Pump and Gas]+ Total Present Value of Cost[ Cohort,Gas and Central AC, Retrofitting Status,Heat Pump and Gas] Cost of Switching Heating and Cooling Systems[Cohort,Gas and Central AC,Retrofitting Status,Gas and Central AC] = Total Present Value of Cost[ Cohort,Gas and Central AC, Retrofitting Status,Gas and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Gas and Window or No AC,Retrofitting Status,Heating and Cooling System] = 0 Cost of Switching Heating and Cooling Systems[Cohort,Gas and Window or No AC,Retrofitting Status,Heat Pump Only] = Cost of Heating System Replacement[Heat Pump Only]+ Total Present Value of Cost[ Cohort, Gas and Window or No AC, Retrofitting Status,Heat Pump Only] Cost of Switching Heating and Cooling Systems[Cohort,Gas and Window or No AC,Retrofitting Status,Heat Pump and Gas] = Cost of Heating System Replacement[Heat Pump Only]+ Total Present Value of Cost[ Cohort, Gas and Window or No AC, Retrofitting Status,Heat Pump and Gas] Cost of Switching Heating and Cooling Systems[Cohort,Gas and Window or No AC,Retrofitting Status,Gas and Central AC] = Cost of Cooling System Replacement[Gas and Central AC]+ Total Present Value of Cost[ Cohort, Gas and Window or No AC, Retrofitting Status,Gas and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump and Gas,Retrofitting Status,Heat Pump Only] = Total Present Value of Cost[ Cohort,Heat Pump and Gas, Retrofitting Status,Heat Pump Only] Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump Only,Retrofitting Status,Oil and Central AC] = Cost of Heating System Replacement[Oil and Central AC]+ Cost of Cooling System Replacement[Oil and Central AC]+ Total Present Value of Cost[ Cohort,Heat Pump Only, Retrofitting Status,Oil and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Oil and Central AC,Retrofitting Status,Heating and Cooling System] = 0 Cost of Switching Heating and Cooling Systems[Cohort,Oil and Central AC,Retrofitting Status,Heat Pump Only] = Cost of Heating System Replacement[Heat Pump Only]+ Total Present Value of Cost[ Cohort,Oil and Central AC, Retrofitting Status,Heat Pump Only] Cost of Switching Heating and Cooling Systems[Cohort,Oil and Central AC,Retrofitting Status,Gas and Central AC] = Cost of Heating System Replacement[Gas and Central AC]+ Total Present Value of Cost[ Cohort,Oil and Central AC, Retrofitting Status,Gas and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Oil and Central AC,Retrofitting Status,Heat Pump and Oil] = Cost of Heating System Replacement[Heat Pump and Oil]+ Total Present Value of Cost[ Cohort,Oil and Central AC, Retrofitting Status,Heat Pump and Oil] Cost of Switching Heating and Cooling Systems[Cohort,Oil and Central AC,Retrofitting Status,Oil and Central AC] = Total Present Value of Cost[ Cohort,Oil and Central AC, Retrofitting Status,Oil and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Oil and Window or No AC,Retrofitting Status,Heating and Cooling System] = 0 Cost of Switching Heating and Cooling Systems[Cohort,Oil and Window or No AC,Retrofitting Status,Heat Pump Only] = Cost of Heating System Replacement[Heat Pump Only]+ Total Present Value of Cost[ Cohort, Oil and Window or No AC, Retrofitting Status,Heat Pump Only] Cost of Switching Heating and Cooling Systems[Cohort,Oil and Window or No AC,Retrofitting Status,Gas and Central AC] = Cost of Heating System Replacement[Gas and Central AC]+ Cost of Cooling System Replacement[Gas and Central AC]+ Total Present Value of Cost[ Cohort, Oil and Window or No AC, Retrofitting Status,Gas and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Oil and Window or No AC,Retrofitting Status,Heat Pump and Oil] = Cost of Heating System Replacement[Heat Pump and Oil]+ Total Present Value of Cost[ Cohort, Oil and Window or No AC, Retrofitting Status,Heat Pump and Oil] Cost of Switching Heating and Cooling Systems[Cohort,Oil and Window or No AC,Retrofitting Status,Oil and Central AC] = Cost of Cooling System Replacement[Oil and Central AC]+ Total Present Value of Cost[ Cohort, Oil and Window or No AC, Retrofitting Status,Oil and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump and Oil,Retrofitting Status,Heating and Cooling System] = 0 Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump and Oil,Retrofitting Status,Heat Pump Only] = Total Present Value of Cost[ Cohort,Heat Pump Only, Retrofitting Status,Heat Pump Only] Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump and Oil,Retrofitting Status,Heat Pump and Gas] = Cost of Heating System Replacement[Gas and Central AC]+ Total Present Value of Cost[ Cohort,Heat Pump and Oil, Retrofitting Status,Heat Pump and Gas] Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump and Oil,Retrofitting Status,Oil and Central AC] = Cost of Cooling System Replacement[Oil and Central AC]+ Total Present Value of Cost[ Cohort,Heat Pump and Oil, Retrofitting Status,Oil and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump and Oil,Retrofitting Status,Heat Pump and Oil] = Total Present Value of Cost[ Cohort,Heat Pump and Oil, Retrofitting Status,Heat Pump and Oil] Description: Affinities of each heating and cooling combination based on which heating and cooling combination houses have. This the numerator of a logit function. Assumes that retirement of systems is not determined by age, and so homes considering to switch heating systems do not have to replace their current one-- but they do have to purchase a system they currently do not have. The cost is determined by present cost of operating (i.e., opeating a system for infinite horizon, as it's included in sale price), in addition to current replacement costs if house does not have a system they're switching into. Any switches we assume are not possible we list as being 0. Present In 1 View: Used By
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.housingagingchain v15 | #85 C |
Delay in Changing Subsidy Expectations (Year ) = 0.5 Description: Delay in perceiving any changes to subsidies. Assumed to be the same for both subsidies. Present In 1 View: Used By
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.housingagingchain v15 | #86 C |
Delay in Forming Expectations of Energy Price (Year ) = 1 Description: Delay in perceiving changes in energy price. Present In 1 View: Used By
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.housingagingchain v15 | #87 C |
Delay in Forming Expectations of Retrofit Costs (Year ) = 1.5 Description: Delay in perceiving changes in fixed retrofit cost and reference marginal cost. Assumed to be the same for both types of costs. Present In 1 View: Used By
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.housingagingchain v15 | #114 SM,A |
Expected Fixed Cost (Dollar / House) = SMOOTH( Fixed Cost, Delay in Forming Expectations of Retrofit Costs) Description: Fixed cost used in calculating optimal EUI. Third order exponential smoothing of fixed cost. Present In 2 Views: Used By
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.housingagingchain v15 | #115 SM,A |
Expected Heating Energy Price (Dollar / kBTU) Expected Heating Energy Price[Heating and Cooling System] = SMOOTH3( Heating Energy Price[ Heating and Cooling System], Delay in Forming Expectations of Energy Price) Description: Energy price for one kBTU of heating used to calculate optimal U value. Third order exponential smoothing of heating energy price. Present In 6 Views:
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.housingagingchain v15 | #117 A |
Expected Lump Sum Subsidy Intensity (Dollar / sf) Expected Lump Sum Subsidy Intensity[Retrofit Cost] = HOMES Expected Lower Lump Sum Subsidy/ Average Area of Housing Starts Description: Lump sum subsidy for retrofits per square foot. Present In 1 View: Used By
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.housingagingchain v15 | #118 SM,A |
Expected MassSave Maximum Subsidy for Retrofits (Dollar / House) = SMOOTH3( Implemented MassSave Maximum Subsidy for Retrofits, Delay in Changing Subsidy Expectations) Description: Expected maximum proportional subsidy that lowers subsidized retrofit costs, taking into account information delays. Present In 1 View: Used By
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.housingagingchain v15 | #119 SM,A |
Expected MassSave Proportional Subsidy Rate for Retrofits (dmnl) = SMOOTH3( Implemented MassSave Subsidy Proportional Rate for Retrofits, Delay in Changing Subsidy Expectations)* Proportional Subsidy Switch for Retrofits Description: Expected proportional subsidy rate that lowers subsidized retrofit costs, taking into account information delays. Present In 4 Views:
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.housingagingchain v15 | #121 SM,A |
Expected Reference Marginal Cost ((Dollar / sf) / (kBTU / (sf * Year * F))) = SMOOTH( Reference Marginal Cost, Delay in Forming Expectations of Retrofit Costs) Description: Reference marginal cost used in calculating optimal U value. Third order exponential smoothing of reference marginal cost. Present In 4 Views:
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.housingagingchain v15 | #123 A |
Expected Subsidy for Retrofits (Dollar / House) Expected Subsidy for Retrofits[Cohort,Heating and Cooling System,Retrofitting Status] = IF THEN ELSE( Energy Savings[ Cohort, Heating and Cooling System]>= HOMES Cut Off for Savings, HOMES Expected Higher Subsidy, HOMES Expected Lower Lump Sum Subsidy)+ MassSave Expected Subsidy for Retrofits[ Cohort, Heating and Cooling System, Retrofitting Status]+ EEHIC Expected Subsidy for Retrofits[ Cohort, Heating and Cooling System, Retrofitting Status] Description: Total subsidy offered against retrofit cost across both lump sum and proportional subsidy. Present In 4 Views:
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.housingagingchain v15 | #149 SM,A |
HOMES Expected Lower Lump Sum Subsidy (Dollar / House) = SMOOTH3( HOMES Implemented Lower Subsidy, Delay in Changing Subsidy Expectations) Description: Expected lump sum subsidy that lowers subsidized retrofit costs, taking into account information delays. Present In 3 Views: Used By
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.housingagingchain v15 | #152 A |
HOMES Implemented Lower Subsidy (Dollar / House) = IF THEN ELSE( Time>= HOMES Subsidy Implementation Year:AND: Time<= HOMES Subsidy Final Year, HOMES Lower Subsidy Amount,0) Description: Lump sum subsidy that is actually implemented. Equal to zero before implementation year and to lump sum subsidy after implementation year. Present In 2 Views: Used By
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.housingagingchain v15 | #153 C |
HOMES Lower Subsidy Amount (Dollar / House ) = 2000 Description: The lump sum subsidy given for retrofits that save less than 35% of their energy from the Home Owner Managing Energy Savings tax credit.Source: https://www.nrdc.org/bio/lauren-urbanek/theres-no-better-time-consider-home-energy-upgrades#: :text=The%20HOMES%20Rebate%20Program%20provides,or%20from%20measured%20energy%20savings. Present In 1 View: Used By
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.housingagingchain v15 | #155 C |
HOMES Subsidy Implementation Year (Year ) = 2025 Description: The year in which the lump sum subsidy will activate. Present In 1 View: Used By
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.housingagingchain v15 | #178 A |
Implemented MassSave Maximum Subsidy for Retrofits (Dollar / House) = IF THEN ELSE( Time>= Proportional MassSave Subsidy Implementation Year for Retrofits:AND: Time<= MassSave Subsidy for Retrofits Final Year, MassSave Maximum Subsidy for Retrofits,0) Description: Maximum proportional subsidy that is actually implemented. Equal to zero before implementation year and to maximum proportional subsidy after implementation year. Present In 2 Views: Used By
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.housingagingchain v15 | #179 A |
Implemented MassSave Subsidy Proportional Rate for Retrofits (dmnl) = IF THEN ELSE( Time>= Proportional MassSave Subsidy Implementation Year for Retrofits:AND: MassSave Subsidy for Retrofits Final Year>= Time, Mass Save Proportional Subsidy Rate for Retrofits,0) Description: The implemented proportional subsidy rate from the state, taking into account whether a proportional subsidy has been implemented. Equal to zero before implementation year and proportional subsidy discount afterwards. Present In 2 Views: Used By
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.housingagingchain v15 | #197 LI,A |
Initial U Value (House * kBTU / (Year * F * sf)) Initial U Value[Cohort,Heating and Cooling System,Retrofitting Status] = 0 Initial U Value[Preexisting Cohorts,Heating and Cooling System,Retrofitting Status] = Initial Average U Value[ Preexisting Cohorts]* Housing[ Preexisting Cohorts, Heating and Cooling System, Retrofitting Status] Description: Initial U value of cohorts; must be zero for cohorts not yet built. Present In 1 View: Used By
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.housingagingchain v15 | #212 A |
Marginal Cost Reductions from Retrofitting (Dollar * F / kBTU) Marginal Cost Reductions from Retrofitting[Cohort,Heating and Cooling System] = Marginal Cooling Cost Reduction from Retrofitting[ Cohort, Heating and Cooling System]+ Marginal Heating Cost Reduction from Retrofitting[ Cohort, Heating and Cooling System] Description: Total cost reductions from retrofitting away one unit of U value for existing homes, including reductions in both heating and cooling costs. Present In 2 Views: Used By
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.housingagingchain v15 | #214 C |
Mass Save Proportional Subsidy Rate for Retrofits (dmnl ) = 0.75 Description: Proportion of total retrofit cost that will be credited as part of a proportional subsidy. Theoretically, this can vary between current housing and housing under construction.Based off Mass Save data: https://www.masssave.com/en/residential/rebates-and-incentives/insulation-and-windows/insulation-and-air-sealing Present In 2 Views: Used By
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.housingagingchain v15 | #218 A |
MassSave Expected Subsidy for Retrofits (Dollar / House) MassSave Expected Subsidy for Retrofits[Cohort,Heating and Cooling System,Retrofitting Status] = MIN( Proportional Subsidy Switch for Retrofits* Expected MassSave Proportional Subsidy Rate for Retrofits* Unsubsidized Retrofit Cost Intensity[ Cohort, Heating and Cooling System]* Average Area[ Cohort, Retrofitting Status], Expected MassSave Maximum Subsidy for Retrofits) Description: The proportional subsidy offered against the retrofit cost intensity from MassSave, taking into account whether it has gone into effect. Present In 2 Views: Used By
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.housingagingchain v15 | #223 C |
MassSave Maximum Subsidy for Retrofits (Dollar / House ) = 1e+07 Description: The maximum proportional subsidy that will be offered, regardless of that subsidy's discount. For instance, if the proportional subsidy is 50% but the maximum is $1000, then for a retrofit project that costs $3000 only a $1000 subsidy will be given.If very large, then no maximum subsidy given. Present In 1 View: Used By
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.housingagingchain v15 | #271 C |
Proportional MassSave Subsidy Implementation Year for Retrofits (Year ) = 2020 Description: Time at which the proportional subsidy will take effect. Present In 2 Views: Used By
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.housingagingchain v15 | #272 C |
Proportional Subsidy Switch for Retrofits (dmnl ) = 1 Description: Turns proportional subsidy's effect on retrofit cost on/off. Present In 1 View: Used By
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.housingagingchain v15 | #304 A |
Subsidized Retrofit Cost (Dollar /House) Subsidized Retrofit Cost[Cohort,Heating and Cooling System] = Unsubsidized Retrofit Cost[ Cohort, Heating and Cooling System]- Expected Subsidy for Retrofits[ Cohort, Heating and Cooling System,Open to Retrofitting]+ Soft Costs of Retrofitting Description: The total retrofit cost, net of any subsidies for existing homes. Hassle costs are added here because subsidies cannot subsidize those directly. Present In 1 View: Used By
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Top | (Group) .housingagingchain v18 (5 Variables) | ||
Variable Name And Description | .housingagingchain v18 | #65 L |
Code U (kBTU / (sf * Year * F)) = ∫- Decrease in Code U dt + Initial Code U Value Description: U of house that is built to standard code.For initial paper, assume that it's constant at a level in between average U and optimal U. Present In 2 Views: Used By
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.housingagingchain v18 | #84 F,A |
Decrease in Code U (kBTU / (sf * Year * F) / Year) = Code U* Fractional Decrease in Code U Description: The change in code U from policy. Present In 1 View: Used By
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.housingagingchain v18 | #181 F,A |
Increase in U Value from Housing Starts (House * kBTU / (Year * F * sf) / Year) Increase in U Value from Housing Starts[Cohort,Heating and Cooling System] = Housing Starts[ Cohort, Heating and Cooling System]* U Value of Housing Starts[ Cohort, Heating and Cooling System] Description: New U value from new homes being built. Present In 1 View: Used By
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.housingagingchain v18 | #253 A |
Optimal U for New Homes (kBTU / (sf * Year * F)) Optimal U for New Homes[Cohort,Heating and Cooling System] = (( Expected Reference Marginal Cost/( Marginal Cost Reductions from Retrofitting[ Cohort, Heating and Cooling System]/ Discount Rate))^(1/ Sensitivity of Marginal Cost to U Value))* Reference U Value*(1- Expected MassSave Proportional Subsidy Rate for Retrofits) Description: The optimal U for houses being built, taking into account energy savings and construction costs. Calculated in a similar manner to the optimal U for existing homes. Present In 2 Views: Used By
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.housingagingchain v18 | #332 A |
U Value of Housing Starts (kBTU / (Year * F * sf)) U Value of Housing Starts[Cohort,Heating and Cooling System] = IF THEN ELSE( Additional Cost of Building to U Value[ Cohort, Heating and Cooling System]<0:AND: Optimal U for New Homes[ Cohort, Heating and Cooling System]< Code U, Optimal U for New Homes[ Cohort, Heating and Cooling System], Code U) Description: Equal to optimal U Value if it is lower than code U value and it is cheaper to build to lower U value. Otherwise, developers just build to code. Present In 2 Views: Used By
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Top | (Group) .housingagingchain v4 testing (4 Variables) | ||
Variable Name And Description | .housingagingchain v4 testing | #7 A |
Affinity of Retrofitting (dmnl) Affinity of Retrofitting[Cohort,Heating and Cooling System] = exp(- Sensitivity of Retrofits to Cost* Perceived Cost of Retrofitting[ Cohort, Heating and Cooling System]/ Reference Retrofit Cost) Description: Affinity of retrofitting, where utility value is equal to its NPV. Present In 2 Views: Used By
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.housingagingchain v4 testing | #59 A |
Average U Value in All Housing (kBTU / (sf * F * Year)) = ZIDZ( Total U Value Across All Groupings, Total Housing Stock) Description: The average U Value over the entire housing stock, not disaggregated by any groupings. Present In 1 View: Used By |
.housingagingchain v4 testing | #254 A |
Optimal U Value for Existing Homes if no EEHIC Cap (kBTU / (sf * F * Year)) Optimal U Value for Existing Homes if no EEHIC Cap[Cohort,Heating and Cooling System] = Reference U Value*( Expected Reference Marginal Cost*(1- Expected MassSave Proportional Subsidy Rate for Retrofits)*(1- Expected EEHIC Proportional Subsidy Rate for Retrofits)/ Lifetime Marginal Cost Reductions from Retrofitting[ Cohort, Heating and Cooling System])^(1/ Sensitivity of Marginal Cost to U Value) Description: Optimal U Value to retrofit to should achieve if fixed costs are not taken into consideration (e.g., if fixed costs have already been paid) for existing houses). This takes into account the proportional subsidy but not the lump sum. Effect of proportional subsidies are multiplied instead of added, i.e., (1 - subsidy1)(1-subsidy2) instead of (1 - subsidy1 - subsidy2), because costs from state programs are subtracted when calculating federal subsidy in MA (https://www.masssave.com/inflation-reduction-act, "How do Mass Save rebates factor into the calculation of tax credits?")Expression is derived from the marginal energy savings from retrofitting being Energy Price and marginal cost of retrofitting being Reference MC * (1/(U/ Reference U))^Sensitivity and then solving for optimal retrofit when marginal savings equal marginal cost.This is the optimal U value if there were no cap on the Energy Efficiency Home Improvement Credit, i.e., no discontinuity the marginal cost curve. Present In 8 Views:
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.housingagingchain v4 testing | #320 A |
Total Housing Stock (House) = SUM( Housing[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: Total number of houses across all cohorts, heating/cooling systems, and retrofitting status. Present In 2 Views: Used By
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Top | (Group) .housingagingchain v5 testing (14 Variables) | ||
Variable Name And Description | .housingagingchain v5 testing | #49 A |
Average Heating Cost (Dollar / (Year * House)) Average Heating Cost[Cohort,Heating and Cooling System,Retrofitting Status] = Expected Heating Energy Price[ Heating and Cooling System]* Average Heating Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status] Description: The costs per year to heat one house. Present In 2 Views: Used By
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.housingagingchain v5 testing | #128 C |
Fixed Cost (Dollar / House ) = 0 Description: Fixed cost of retrofitting, due to permitting, finding contractors, etc. This is not taken into account in the marginal cost of retrofitting, and this model assumes that households have not yet paid a fixed cost when deciding to retrofit. This cost only applies to existing housing.Set this equal to 0, because almost all costs for retrofits seem to be variable (except for permitting, which isn't usually used), and there's no data to suggest otherwise. Present In 2 Views: Used By
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.housingagingchain v5 testing | #127 A |
Fixed Cost per Unit Area (Dollar / sf) Fixed Cost per Unit Area[Cohort] = ZIDZ( Expected Fixed Cost, Average Area[ Cohort,Open to Retrofitting]) Description: The fixed cost (which is constant) per square foot for an average house that is open to retrofitting. Present In 2 Views: Used By
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.housingagingchain v5 testing | #130 A |
Fraction of Houses Switching (dmnl) Fraction of Houses Switching[Cohort,Heat Pump Heating and Cooling,Retrofitting Status,Heating and Cooling System] = Affinity of Heating and Cooling Systems[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]/SUM( Affinity of Heating and Cooling Systems[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System!]) Fraction of Houses Switching[Cohort,Gas Heating,Retrofitting Status,Heating and Cooling System] = Affinity of Heating and Cooling Systems[ Cohort, Gas Heating, Retrofitting Status, Heating and Cooling System]/SUM( Affinity of Heating and Cooling Systems[ Cohort, Gas Heating, Retrofitting Status, Heating and Cooling System!]) Fraction of Houses Switching[Cohort,Oil Heating,Retrofitting Status,Heating and Cooling System] = Affinity of Heating and Cooling Systems[ Cohort, Oil Heating, Retrofitting Status, Heating and Cooling System]/SUM( Affinity of Heating and Cooling Systems[ Cohort, Oil Heating, Retrofitting Status, Heating and Cooling System!]) Description: Fraction of houses considering switching switching from one to another. We also model "switching" from one system to the same system, as we keep track of total heat pump sales. Present In 2 Views: Used By
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.housingagingchain v5 testing | #143 A |
Heating Energy Price (Dollar / (kBTU)) Heating Energy Price[Heating and Cooling System] = Initial Heating Energy Price[ Heating and Cooling System]* Input 0 Description: The price to heat a home (which in this model we assume can only have one size) 1 kBTU, multiplied by the test input. Present In 6 Views:
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.housingagingchain v5 testing | #191 C |
Initial Heating Energy Price (Dollar / (kBTU)) Initial Heating Energy Price[Heat Pump Heating and Cooling] = 0.062 Initial Heating Energy Price[Gas Heating] = 0.0142 Initial Heating Energy Price[Oil Heating] = 0.017 Description: Price of energy used in each technology: heat pump, central AC, window AC, no AC, gas, and oil. For heat pumps and air conditioners, this is electricity.Data from (using annual 2020 data for MA):electricity: https://www.eia.gov/electricity/data/browser/#/topic/7?agg=1,0&geo=vvvvvvvvvvvvo&endsec=8&freq=M&start=200101&ctype=linechart<ype=pin&rtype=s&pin=&rse=0&maptype=0,natural gas:https://www.eia.gov/dnav/ng/ng_pri_sum_a_EPG0_PRS_DMcf_a.htmheating oil: https://www.eia.gov/petroleum/heatingoilpropane/ Present In 1 View: Used By
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.housingagingchain v5 testing | #192 LI,A |
Initial Homes Not Retrofitting (House) Initial Homes Not Retrofitting[Cohort,Heating and Cooling System] = 0 Initial Homes Not Retrofitting[Preexisting Cohorts,Heating and Cooling System] = (1- Initial Fraction of Homes Retrofitting)* Initial Housing[ Preexisting Cohorts, Heating and Cooling System] Description: Initial homes not open to retrofitting. Present In 1 View: Used By
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.housingagingchain v5 testing | #193 LI,A |
Initial Homes Retrofitting (Houses) Initial Homes Retrofitting[Cohort,Heating and Cooling System] = 0 Initial Homes Retrofitting[Preexisting Cohorts,Heating and Cooling System] = Initial Fraction of Homes Retrofitting* Initial Housing[ Preexisting Cohorts, Heating and Cooling System] Description: Homes that are open to retrofitting initially. Present In 1 View: Used By
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.housingagingchain v5 testing | #213 A |
Marginal Heating Cost Reduction from Retrofitting (Dollar * F / (kBTU)) Marginal Heating Cost Reduction from Retrofitting[Cohort,Heating and Cooling System] = Expected Heating Energy Price[ Heating and Cooling System]* Heating Degree Days/ Heating System Efficiency[ Heating and Cooling System] Description: The marginal reduction in heating costs per square foot from retrofitting away one unit of U, for existing housing. Calculated as the derivative of total heating energy costs with respect to U, where total heating energy costs are Heating Energy Price * Heating Energy Use Per Square Foot, and the latter is U value * Area * Heating Temperature Differential (HDD) / efficiency / Area. Present In 1 View: Used By
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.housingagingchain v5 testing | #265 C |
Present Value of Cooling Operating Costs (Dollars / (House)) Present Value of Cooling Operating Costs[Cohort,Heat Pump Heating and Cooling,Retrofitting Status,Heating and Cooling System] = ( Expected Cooling Energy Price* Cooling Energy Use Under Alternatives[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]/ Discount Rate)*(1-exp(- Discount Rate* Average Lifetime of Cooling Technology[ Heating and Cooling System])) Present Value of Cooling Operating Costs[Cohort,Traditional Cooling,Retrofitting Status,Heating and Cooling System] = ( Expected Cooling Energy Price* Cooling Energy Use Under Alternatives[ Cohort, Traditional Cooling, Retrofitting Status, Heating and Cooling System]/ Discount Rate)*(1-exp(- Discount Rate* Average Lifetime of Cooling Technology[ Heating and Cooling System])) Present Value of Cooling Operating Costs[Cohort,Heating and Cooling System,Retrofitting Status,No AC Cooling] = 0 Description: The present value of cost to operate a cooling system, from the perspective of a house with one heating and cooling system (first H & C subscript) to another (the second). The operating cost is just the energy price times usage for cooling. Assumes constant operating costs and discount rate, with costs ending at the end of the average lifetime. Present In 1 View: Used By
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.housingagingchain v5 testing | #266 A |
Present Value of Heating Operating Costs (Dollar / (House)) Present Value of Heating Operating Costs[Cohort,Heat Pump Heating and Cooling,Retrofitting Status,Heating and Cooling System] = ( Expected Heating Energy Price[ Heating and Cooling System]* Heating Energy Use Under Alternatives[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]/ Discount Rate)*(1-exp(- Discount Rate* Average Lifetime of Heating Technology[ Heating and Cooling System])) Present Value of Heating Operating Costs[Cohort,Fossil Fuel Heating,Retrofitting Status,Heating and Cooling System] = ( Expected Heating Energy Price[ Heating and Cooling System]* Heating Energy Use Under Alternatives[ Cohort, Fossil Fuel Heating, Retrofitting Status, Heating and Cooling System]/ Discount Rate)*(1-exp(- Discount Rate* Average Lifetime of Heating Technology[ Heating and Cooling System])) Description: The present value of cost to operate a heating system, from the perspective of a house with one heating and cooling system (first H & C subscript) to another (the second). The operating cost is just the energy price times usage for cooling. Assumes constant operating costs and continuous discount rate, with costs ending at the end of the average lifetime. Present In 1 View: Used By
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.housingagingchain v5 testing | #283 C |
Reference Marginal Cost (Dollar / sf / (kBTU / (sf * Year * F)) ) = 12.88 Description: The marginal cost of retrofitting at the reference EUI. In particular, the marginal cost of retrofitting at some EUI is Reference U *( (Reference U / U) ^ Sensitivity )This was calculated by setting sensitivity of marginal cost equal to 1.25, and finding the MC where a 31% reduction in U value from the reference costs a total of 4.95 / (1 - 0.21) dollars per square foot. The sensitivity value is explained in the sensitivity variable. Less et al. (2021, pg. 17-18) note that in their project database, the median cost per square foot for retrofits after subsidies was $4.95, while subsidies accounted for 21% of the total project cost for the median project. The median cost reduced energy use by 28% - 33% (of which I took the average), and I use the lower bound value to account for the fact that energy savings may occur not only due to increase in U value.Obviously all of this is extraordinarily rough.Less et al. (2021): https://eta-publications.lbl.gov/sites/default/files/final_walker_-_the_cost_of_decarbonization_and_energy.pdf Present In 2 Views: Used By
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.housingagingchain v5 testing | #291 C |
Sensitivity of Marginal Cost to U Value (dmnl ) = 3.25 Description: Measures the sensitivity of marginal retrofit costs as a function of optimal U value. In particular, marginal Retrofit Cost is equal to Constant * (U Value retrofitted away ^ Convexity). This must be greater than 1.This is taken from pg. 69 of Caswell (2022), where she calculates the total retrofit cost curve as a function of percent savings as having an exponent of 2.25. Because this is the total retrofit cost curve, the exponent for the marginal cost is -2.25 - 1. Because percent savings is inversely proportional to U, the exponent in the total cost curve will be the negation of 2.25, which is ensured in the marginal cost curve formulation in other variables. Present In 4 Views:
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.housingagingchain v5 testing | #338 A |
Unsubsidized Retrofit Cost Intensity (Dollar / sf) Unsubsidized Retrofit Cost Intensity[Cohort,Heating and Cooling System] = MAX(IF THEN ELSE( U Value of Retrofitting Homes[ Cohort, Heating and Cooling System]>1e-06,( Expected Reference Marginal Cost* Reference U Value/(- Sensitivity of Marginal Cost to U Value+1))*((( Reference U Value/ U Value of Retrofitting Homes[ Cohort, Heating and Cooling System])^ Sensitivity of Marginal Cost to U Value-1)-(( Reference U Value/ Optimal U Value for Existing Homes[ Cohort, Heating and Cooling System])^( Sensitivity of Marginal Cost to U Value-1)))+ Fixed Cost per Unit Area[ Cohort],0),0) Description: Total cost of retrofit per square foot when the marginally optimal amount of U value is retrofitted away.Calculated as definite integral of marginal cost of retrofitting, which, at a given U, is Reference MC * (Ref. U / U Value) ^ Sensitivity. The total retrofit function is then found by taking the finite integral of the marginal cost function from the indicated optimal U value to the original U value and adding the fixed cost. This cost can be theoretically negative, but if so no retrofitting will take place as the retrofitting outflow is nonnegative.The "if" statement ensures there are no retrofit costs when there are no houses in a cohort. U value must be greater than 1e-6 as this is the threshold for ZIDZ used in calculating average U. Present In 4 Views:
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Top | (Group) .housingagingchain v8 (51 Variables) | ||
Variable Name And Description | .housingagingchain v8 | #0 C |
Active Cohort Indicator (dmnl) Active Cohort Indicator[Cohort] = IF THEN ELSE(INTEGER(( Time- INITIAL TIME)/ Cohort Duration)+1= Cohort-ELMCOUNT( Preexisting Cohorts),1,0) Active Cohort Indicator[Preexisting Cohorts] = 0 Description: The model tracks housing by age, with a cohort representing all housing built between years t0 to t0+D, where t0 is the initial time and D is the width of each cohort (Cohort Duration). If Cohort Duration is 5 years, then the first cohort C1 accumulates all new housing built from t0 to t0+D, the second cohort, C2, accumulates all new housing built from t0+D to t0+2D, and the ith cohort accumulates all new housing built from t0 + iD to t0 + (i+1)D. Note that the INTEGER function rounds (t - t0)/D down, which requires adding 1 to activate the cohort with number corresponding to the value-if-true in the IF THEN ELSE function. Present In 1 View: Used By
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.housingagingchain v8 | #8 F,A |
Age Removal (House * Year /Year) Age Removal[Cohort,Retrofitting Status] = SUM( Demolitions[ Cohort, Heating and Cooling System!, Retrofitting Status])* Average Age[ Cohort, Retrofitting Status] Description: Total age lost as houses are destroyed, scrapped, etc. Present In 1 View: Used By
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.housingagingchain v8 | #10 F,A |
Aging (House * Year / Year) Aging[Cohort,Retrofitting Status] = Aging per Year*SUM( Housing[ Cohort, Heating and Cooling System!, Retrofitting Status]) Description: Amount of years added to the housing stocks' total age per year. Because houses age 1 year per year, this is simply 1 multplied by the number of houses per cohort. Present In 1 View: Used By
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.housingagingchain v8 | #9 C |
Aging per Year (Year / Year) = 1 Description: Number of years a house ages per year (which must be one), used to ensure dimensional consistency and make the model clearer Present In 1 View: Used By
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.housingagingchain v8 | #21 L |
Area (sf) Area[Cohort,Not Open to Retrofitting] = ∫( Area of New Homes[ Cohort]- Net Area Shift due to Retrofit Status Switching[ Cohort])- Area Removal[ Cohort,Not Open to Retrofitting] dt + Initial Area[ Cohort]*(1.0- Fraction Retrofitting by Cohort[ Cohort]) Area[Preexisting Cohorts,Not Open to Retrofitting] = ∫(- Net Area Shift due to Retrofit Status Switching[ Preexisting Cohorts])- Area Removal[ Preexisting Cohorts,Not Open to Retrofitting] dt + Initial Area[ Preexisting Cohorts]*(1.0- Fraction Retrofitting by Cohort[ Preexisting Cohorts]) Area[Cohort,Open to Retrofitting] = ∫ Net Area Shift due to Retrofit Status Switching[ Cohort]- Area Removal[ Cohort,Open to Retrofitting] dt + Initial Area[ Cohort]* Fraction Retrofitting by Cohort[ Cohort] Area[Preexisting Cohorts,Open to Retrofitting] = ∫ Net Area Shift due to Retrofit Status Switching[ Preexisting Cohorts]- Area Removal[ Preexisting Cohorts,Open to Retrofitting] dt + Initial Area[ Preexisting Cohorts]* Fraction Retrofitting by Cohort[ Preexisting Cohorts] Description: "Total" Area for each cohort of housing . This is determined by the inflows and outflows into and out of each cohort, multiplied by the average energy use intensity in each cohort. Present In 2 Views: Used By
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.housingagingchain v8 | #19 F,A |
Area of New Homes (sf / Year) Area of New Homes[Cohort] = Average Area of Housing Starts*SUM( Housing Starts[ Cohort, Heating and Cooling System!]) Description: The total Area added by the construction of new homes, by cohort. Present In 1 View: Used By
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.housingagingchain v8 | #20 F,A |
Area Removal (sf /Year) Area Removal[Cohort,Retrofitting Status] = Average Area[ Cohort, Retrofitting Status]*SUM( Demolitions[ Cohort, Heating and Cooling System!, Retrofitting Status]) Description: Total area lost as houses are destroyed, scrapped, etc. Present In 1 View: Used By
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.housingagingchain v8 | #24 L |
Autocorrelated Noise (Dimensionless) = ∫ Change in AC Noise dt + 0.0 Description: First-order autocorrelated noise. Provides a realistic noise input to models in which the next random shock depends in part on the previous shocks. The user can specify the correlation time. The mean is 0 and the standard deviation is specifiedby the user. Present In 1 View: Used By
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.housingagingchain v8 | #22 L |
Autocorrelated Noise 0 (Dimensionless) = ∫ Change in AC Noise 0 dt + 0.0 Description: First-order autocorrelated noise. Provides a realistic noise input to models in which the next random shock depends in part on the previous shocks. The user can specify the correlation time. The mean is 0 and the standard deviation is specifiedby the user. Present In 1 View: Used By
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.housingagingchain v8 | #26 A |
Average Age (Year) Average Age[Cohort,Retrofitting Status] = ZIDZ( Total Age[ Cohort, Retrofitting Status], Housing by Cohort and Retrofitting Status[ Cohort, Retrofitting Status]) Description: The age per house in each cohort and energy source. Assumes that age is constant across heating and cooling systems within each cohort and retrofitting status. Present In 1 View: Used By
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.housingagingchain v8 | #25 A |
Average Age in All Housing (Year) = ZIDZ(SUM( Total Age[ Cohort!, Retrofitting Status!]), Total Housing Stock) Description: Average age of houses, regardless of cohort Present In 2 Views: Used By |
.housingagingchain v8 | #27 A |
Average Area in All Housing (sf/ House) = ZIDZ( Total Area, Total Housing Stock) Description: The average are of all houses, regardless of what group they're in. Present In 2 Views: Used By
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.housingagingchain v8 | #42 A |
Average Energy Costs if Retrofitted (Dollar/(Year*House)) Average Energy Costs if Retrofitted[Cohort,Heating and Cooling System] = Optimal Energy Cost[ Cohort, Heating and Cooling System,Open to Retrofitting] Description: Energy costs per year for each retrofitting house if homes retrofit to the optimal U value. Present In 2 Views: Used By
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.housingagingchain v8 | #64 F,A |
Change in AC Noise (1/Year) = ( White Noise- Autocorrelated Noise)/ Noise Correlation Time Description: Change in the pink noise value; Pink noise is a first order exponential smoothing delay of the whitenoise input. Present In 1 View: Used By
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.housingagingchain v8 | #62 F,A |
Change in AC Noise 0 (1/Year) = ( White Noise 0- Autocorrelated Noise 0)/ Noise Correlation Time 0 Description: Change in the pink noise value; Pink noise is a first order exponential smoothing delay of the whitenoise input. Present In 1 View: Used By
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.housingagingchain v8 | #66 C |
Cohort Duration (Year ) = 10 Description: The width (duration) of each cohort. Present In 2 Views: Used By
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.housingagingchain v8 | #100 C |
Energy Price Exponential Growth Rate (1/Year ) = 0 Description: The exogenous growth fraction for the test input. Present In 1 View: Used By
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.housingagingchain v8 | #102 C |
Energy Price Pulse Quantity (Dimensionless*Year) = 0 Description: The quantity to be injected to customer orders, as a fraction of the base value of Input.For example, to pulse in a quantity equal to 50% of the current value of input, set to.50. Present In 1 View: Used By
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.housingagingchain v8 | #104 C |
Energy Price Ramp Slope (1/Year ) = 0 Description: Slope of the ramp input, as a fraction of the base value (per week). Present In 1 View: Used By
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.housingagingchain v8 | #105 C |
Energy Price Step Height (Dimensionless ) = 0 Description: Height of step input to customer orders, as fraction of initial value. Present In 1 View: Used By
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.housingagingchain v8 | #168 C |
Housing Starts Exponential Growth Rate (1/Year ) = 0 Description: The exogenous growth fraction for the test input. Present In 1 View: Used By
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.housingagingchain v8 | #170 C |
Housing Starts Pulse Quantity (Dimensionless*Year) = 0 Description: The quantity to be injected to customer orders, as a fraction of the base value of Input.For example, to pulse in a quantity equal to 50% of the current value of input, set to.50. Present In 1 View: Used By
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.housingagingchain v8 | #171 C |
Housing Starts Ramp Slope (1/Year ) = 0 Description: Slope of the ramp input, as a fraction of the base value (per week). Present In 1 View: Used By
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.housingagingchain v8 | #172 C |
Housing Starts Step Height (Dimensionless ) = 0 Description: Height of step input to customer orders, as fraction of initial value. Present In 1 View: Used By
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.housingagingchain v8 | #184 LI,A |
Initial Age (House * Year) Initial Age[Cohort,Retrofitting Status] = INITIAL(0) Initial Age[Preexisting Cohorts,Retrofitting Status] = ( Cohort Duration*(ELMCOUNT( Preexisting Cohorts)- Preexisting Cohorts+1))* Housing by Cohort and Retrofitting Status[ Preexisting Cohorts, Retrofitting Status] Description: The initial age of each cohort. For cohorts built during the model's run, this is zero. For each pre-existing cohort, this is the length of each cohort multiplied by how many cohorts separate the pre-existing cohort from the beginning of the model. For example, if there are two pre-existing cohorts each with length 5, the first cohort at the beginning of the run is already ten years old on average. Present In 1 View: Used By
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.housingagingchain v8 | #200 A |
Input (Dimensionless) = 1+STEP( Housing Starts Step Height, INITIAL TIME+ Step Time)+( Housing Starts Pulse Quantity/ TIME STEP)*PULSE( INITIAL TIME+ Pulse Time, TIME STEP)+RAMP( Housing Starts Ramp Slope, INITIAL TIME+ Ramp Start Time, INITIAL TIME+ Ramp End Time)+(STEP(1, INITIAL TIME)*(exp( Housing Starts Exponential Growth Rate*( Time- INITIAL TIME))-1))+ Sine Amplitude*SIN(2*3.14159*( Time- INITIAL TIME)/ Sine Period)+STEP(1, INITIAL TIME+ Noise Start Time)* Autocorrelated Noise Description: Input is a dimensionless variable which provides a variety of test input patterns, including a step,pulse, sine wave, and random noise. Present In 1 View: Used By |
.housingagingchain v8 | #198 A |
Input 0 (Dimensionless) = 1+STEP( Energy Price Step Height, INITIAL TIME+ Step Time 0)+( Energy Price Pulse Quantity/ TIME STEP)*PULSE( INITIAL TIME+ Pulse Time 0, TIME STEP)+RAMP( Energy Price Ramp Slope, INITIAL TIME+ Ramp Start Time 0, INITIAL TIME+ Ramp End Time 0)+(STEP(1, INITIAL TIME)*(exp( Energy Price Exponential Growth Rate*( Time- INITIAL TIME))-1))+ Sine Amplitude 0*SIN(2*3.14159*( Time- INITIAL TIME)/ Sine Period 0)+STEP(1, INITIAL TIME+ Noise Start Time 0)* Autocorrelated Noise 0 Description: Input is a dimensionless variable which provides a variety of test input patterns, including a step,pulse, sine wave, and random noise. Present In 1 View: Used By
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.housingagingchain v8 | #225 C |
Maximum Energy Price (Dollar / kBTU) = 10 Description: Shifts x-axis for graph of optimal retrofit amount as a function of energy price. Present In 0 Views: |
.housingagingchain v8 | #231 A |
Net Area Shift by System (sf / Year) Net Area Shift by System[Cohort,Heating and Cooling System] = IF THEN ELSE( Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System]>0, Average Area[ Cohort,Not Open to Retrofitting]* Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System], Average Area[ Cohort,Open to Retrofitting]* Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System]) Description: The shift in area from switching retrofit status, by heating and cooling system in addition to cohort. Present In 1 View: Used By
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.housingagingchain v8 | #238 C |
Noise Correlation Time (Year) = 4 Description: The correlation time constant for Pink Noise. Present In 1 View: Used By
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.housingagingchain v8 | #236 C |
Noise Correlation Time 0 (Year) = 4 Description: The correlation time constant for Pink Noise. Present In 1 View: Used By
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.housingagingchain v8 | #241 C |
Noise Standard Deviation (Dimensionless) = 0 Description: The standard deviation of the pink noise process. Present In 1 View: Used By
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.housingagingchain v8 | #239 C |
Noise Standard Deviation 0 (Dimensionless) = 0 Description: The standard deviation of the pink noise process. Present In 1 View: Used By
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.housingagingchain v8 | #244 C |
Noise Start Time (Year) = 5 Description: Start time for the random input. Present In 1 View: Used By
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.housingagingchain v8 | #242 C |
Noise Start Time 0 (Year) = 5 Description: Start time for the random input. Present In 1 View: Used By
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.housingagingchain v8 | #275 C |
Pulse Time (Year) = 5 Description: Time at which the pulse in Input occurs. Present In 1 View: Used By
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.housingagingchain v8 | #273 C |
Pulse Time 0 (Year) = 5 Description: Time at which the pulse in Input occurs. Present In 1 View: Used By
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.housingagingchain v8 | #278 C |
Ramp End Time (Year) = 1e+09 Description: End time for the ramp input. Present In 1 View: Used By
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.housingagingchain v8 | #276 C |
Ramp End Time 0 (Year) = 1e+09 Description: End time for the ramp input. Present In 1 View: Used By
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.housingagingchain v8 | #281 C |
Ramp Start Time (Year) = 5 Description: Start time for the ramp input. Present In 1 View: Used By
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.housingagingchain v8 | #279 C |
Ramp Start Time 0 (Year) = 5 Description: Start time for the ramp input. Present In 1 View: Used By
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.housingagingchain v8 | #295 C |
Sine Amplitude (Dimensionless) = 0 Description: Amplitude of sine wave in customer orders (fraction of mean). Present In 1 View: Used By
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.housingagingchain v8 | #293 C |
Sine Amplitude 0 (Dimensionless) = 0 Description: Amplitude of sine wave in customer orders (fraction of mean). Present In 1 View: Used By
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.housingagingchain v8 | #298 C |
Sine Period (Year) = 50 Description: Period of sine wave in customer demand. Set initially to 50 weeks (1 year). Present In 1 View: Used By
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.housingagingchain v8 | #296 C |
Sine Period 0 (Year) = 50 Description: Period of sine wave in customer demand. Set initially to 50 weeks (1 year). Present In 1 View: Used By
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.housingagingchain v8 | #302 C |
Step Time (Year) = 5 Description: Time for the step input. Present In 1 View: Used By
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.housingagingchain v8 | #300 C |
Step Time 0 (Year) = 5 Description: Time for the step input. Present In 1 View: Used By
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.housingagingchain v8 | #309 L |
Total Age (House * Year) Total Age[Cohort,Not Open to Retrofitting] = ∫( Aging[ Cohort,Not Open to Retrofitting]- Net Age Shift from Retrofitting Status Shifting[ Cohort])- Age Removal[ Cohort,Not Open to Retrofitting] dt + Initial Age[ Cohort,Not Open to Retrofitting] Total Age[Cohort,Open to Retrofitting] = ∫( Net Age Shift from Retrofitting Status Shifting[ Cohort]+ Aging[ Cohort,Open to Retrofitting])- Age Removal[ Cohort,Open to Retrofitting] dt + Initial Age[ Cohort,Open to Retrofitting] Description: "Total" age for each cohort of housing. Present In 2 Views: Used By
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.housingagingchain v8 | #339 A |
Unsubsidized Retrofit Cost (Dollar / House) Unsubsidized Retrofit Cost[Cohort,Heating and Cooling System] = Unsubsidized Retrofit Cost Intensity[ Cohort, Heating and Cooling System]* Average Area[ Cohort,Open to Retrofitting] Description: Total retrofit cost without taking into account subsidies. Present In 4 Views:
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.housingagingchain v8 | #343 A |
White Noise (Dimensionless) = Noise Standard Deviation*((24* Noise Correlation Time/ TIME STEP)^0.5*(RANDOM 0 1()-0.5)) Description: White noise input to the pink noise process. Present In 1 View: Used By
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.housingagingchain v8 | #341 A |
White Noise 0 (Dimensionless) = Noise Standard Deviation 0*((24* Noise Correlation Time 0/ TIME STEP)^0.5*(RANDOM 0 1()-0.5)) Description: White noise input to the pink noise process. Present In 1 View: Used By
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Top | (Group) .housingagingchain v9 (1 Variables) | ||
Variable Name And Description | .housingagingchain v9 | #285 C |
Reference U Value (kBTU / (sf * Year * F) ) = 0.006 Description: Reference U Value to ensure base of exponent in marginally optimal U value is dimensionless. This must be equal to or greater than code U value.Value taken as the average of U values of single family homes in MA in 2020 for our sample. Present In 3 Views: Used By
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Top | (Group) HeatPumpModel_v31 (234 Variables) | ||
Variable Name And Description | HeatPumpModel_v31 | #1 A |
Actual EEHIC Subsidy for Retrofits (Dollar / House) Actual EEHIC Subsidy for Retrofits[Cohort,Heating and Cooling System] = MIN( Unsubsidized Retrofit Cost[ Cohort, Heating and Cooling System]* Implemented EEHIC Subsidy Proportional Rate for Retrofits, Implemented EEHIC Maximum Subsidy for Retrofits) Description: The actual subsidy for retrofits by the Energy Efficiency Home Improvement Credit, not the expected value. Present In 1 View: Used By
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HeatPumpModel_v31 | #2 A |
Actual HOMES Subsidy for Retrofits (Dollar/ Home) Actual HOMES Subsidy for Retrofits[Cohort,Heating and Cooling System] = IF THEN ELSE( Energy Savings[ Cohort, Heating and Cooling System]< HOMES Cut Off for Savings, HOMES Implemented Lower Subsidy, HOMES Implemented High Subsidy) Description: The lump sum subsidy offered by the Home Owner Managing Energy Savings rebate (from the IRA), as opposed to the expected value. Present In 1 View: Used By
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HeatPumpModel_v31 | #3 A |
Actual MassSave Subsidy for Retrofits (Dollar / House) Actual MassSave Subsidy for Retrofits[Cohort,Heating and Cooling System] = MIN( Unsubsidized Retrofit Cost[ Cohort, Heating and Cooling System]* Implemented MassSave Subsidy Proportional Rate for Retrofits, Implemented MassSave Maximum Subsidy for Retrofits) Description: The actual subsidy offered for retrofits by MassSave, not the expected value. Present In 1 View: Used By
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HeatPumpModel_v31 | #5 A |
Affinity of Heating and Cooling Systems (dmnl) Affinity of Heating and Cooling Systems[Cohort,Heat Pump Heating and Cooling,Retrofitting Status,Heating and Cooling System] = IF THEN ELSE( Cost of Switching Heating and Cooling Systems[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]>0,exp(- Sensitivity of Affinity to Cost* Cost of Switching Heating and Cooling Systems[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]/ Reference Lifetime Cost of Heating and Cooling Systems),0) Affinity of Heating and Cooling Systems[Cohort,Fossil Fuel Heating,Retrofitting Status,Heating and Cooling System] = IF THEN ELSE( Cost of Switching Heating and Cooling Systems[ Cohort, Fossil Fuel Heating, Retrofitting Status, Heating and Cooling System]>0,exp(- Sensitivity of Affinity to Cost* Cost of Switching Heating and Cooling Systems[ Cohort, Fossil Fuel Heating, Retrofitting Status, Heating and Cooling System]/ Reference Lifetime Cost of Heating and Cooling Systems),0) Description: The affinity of switching from each heating and cooling combination to each other one. If the model assumes that no one switches from one combination to another, as indicated by zero in the cost variable, then the affinity is zero. Present In 1 View: Used By
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HeatPumpModel_v31 | #6 A |
Affinity of Not Retrofitting (dmnl) Affinity of Not Retrofitting[Cohort,Heating and Cooling System] = exp(- Sensitivity of Retrofits to Cost* Perceived Cost of Not Retrofitting[ Cohort, Heating and Cooling System]/ Reference Retrofit Cost) Description: The affinity of not retrofitting; the utility or NPV of not retrofitting is just retrofit costs - energy costs saved. Present In 1 View: Used By
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HeatPumpModel_v31 | #11 C |
Amoritization Period (Year ) = 20 Description: Time period over which incurred retrofit cost is amoritized; should be related to lifetime of a home. Present In 1 View: Used By
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HeatPumpModel_v31 | #13 F,A |
Annual Federal Subsidies (Dollar / Year) = Federal Annual Heat Pump Subsidy+ Federal Annual Retrofit Subsidy Description: The amount of money the federal government spends on subsidies for heat pumps and retrofits, each year. Present In 1 View: Used By
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HeatPumpModel_v31 | #14 F,A |
Annual Heat Pump Subsidy (Dollar / Year) = Federal Annual Heat Pump Subsidy+ Massachusetts Annual Heat Pumps Subsidy Description: The amount of money the government spends to subsidize heat pumps, including state and federal government. Present In 1 View: Used By
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HeatPumpModel_v31 | #15 A |
Annual Load from Heat Pumps (kBTU / Year) = SUM( Energy Use by Grouping[ Cohort!, Heat Pump Heating and Cooling!, Retrofitting Status!]) Description: The load on the electric grid from servicing heating and cooling demand from heat pumps, across the whole year. Present In 1 View: Used By
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HeatPumpModel_v31 | #16 F,A |
Annual MA Subsidies (Dollar / Year) = Massachusetts Annual Retrofit Subsidy+ Massachusetts Annual Heat Pumps Subsidy Description: The subsidies that the Massachusetts state government gives out per year for both retrofits and heat pumps. Present In 1 View: Used By
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HeatPumpModel_v31 | #17 F,A |
Annual Retrofit Subsidy (Dollar / Year) = Federal Annual Retrofit Subsidy+ Massachusetts Annual Retrofit Subsidy Description: The subsidies for retrofits paid out every year. Present In 1 View: Used By
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HeatPumpModel_v31 | #18 A |
Annual Subsidies (Dollar / Year) = Annual Heat Pump Subsidy+ Annual Retrofit Subsidy Description: The amount of subsidies spent on heat pumps and retrofits every year. Present In 1 View: Used By |
HeatPumpModel_v31 | #23 L |
Autocorrelated Noise 1 (Dimensionless) = ∫ Change in AC Noise 1 dt + 0.0 Description: First-order autocorrelated noise. Provides a realistic noise input to models in which the next random shock depends in part on the previous shocks. The user can specify the correlation time. The mean is 0 and the standard deviation is specifiedby the user. Present In 1 View: Used By
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HeatPumpModel_v31 | #29 A |
Average Area (sf / House) Average Area[Cohort,Retrofitting Status] = ZIDZ( Area[ Cohort, Retrofitting Status], Housing by Cohort and Retrofitting Status[ Cohort, Retrofitting Status]) Description: Average area by cohort and retrofitting status (assume it's the same across heating and cooling systems). Present In 7 Views:
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HeatPumpModel_v31 | #28 A |
Average Area of Housing Starts (sf / House) = Increase in Area per Year*( Time- INITIAL TIME)+ Initial Average Area of Housing Starts Description: The average area of housing starts. Present In 2 Views: Used By
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HeatPumpModel_v31 | #31 A |
Average Cooling Cost (Dollar / (Year * House)) Average Cooling Cost[Cohort,Heating and Cooling System,Retrofitting Status] = Expected Cooling Energy Price* Average Cooling Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status] Description: The average costs for keeping a home cool, by grouping. Present In 2 Views: Used By
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HeatPumpModel_v31 | #30 A |
Average Cooling Cost Across All Homes (Dollar / House/ Year) = Total Cooling Cost/SUM( Housing[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: The average cost to cool a home, for all cohorts and systems. Present In 1 View: Used By |
HeatPumpModel_v31 | #33 C |
Average Cooling Energy Use (kBTU / (Year * House)) Average Cooling Energy Use[Cohort,Heating and Cooling System,Retrofitting Status] = U Value by Grouping[ Cohort, Heating and Cooling System, Retrofitting Status]* Average Area[ Cohort, Retrofitting Status]* Cooling Degree Days/ Cooling System Efficiency[ Heating and Cooling System] Average Cooling Energy Use[Cohort,No AC Cooling,Retrofitting Status] = 0 Description: The average energy use for cooling. Calculated by setting efficiency times a house's cooling energy use equal to total cooling temperature differential (CDD), multiplied by U (or divided by R), and solving for energy use. Present In 3 Views: Used By
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HeatPumpModel_v31 | #32 A |
Average Cooling Energy Use Across All Homes (kBTU / Year / House) = ZIDZ( Total Cooling Energy Use, Total Housing Stock) Description: The amount of energy an average home spends on cooling, regardless of cohort, retrofit status, etc. Present In 1 View: Used By |
HeatPumpModel_v31 | #34 A |
Average Daily Load from Heat Pumps (kBTU / Day) = Annual Load from Heat Pumps/ Days per Year Description: The average load on the electric grid from heat pumps, per day. Present In 1 View: Used By |
HeatPumpModel_v31 | #39 A |
Average Emissions (tCO2 / House / Year) = ZIDZ( Emissions, Total Housing Stock) Description: The average CO2 emissions for a household, not disaggregated into any grouping. Present In 1 View: Used By |
HeatPumpModel_v31 | #35 A |
Average Emissions by Grouping (tCO2 / (Year * House)) Average Emissions by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = Average Emissions from Cooling by Grouping[ Cohort, Heating and Cooling System, Retrofitting Status]+ Average Emissions from Heating by Grouping[ Cohort, Heating and Cooling System, Retrofitting Status] Description: The total average emissions from heating and cooling, by cohort, retrofitting status, and Heating and Cooling System. Present In 2 Views: Used By
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HeatPumpModel_v31 | #36 A |
Average Emissions by Heating and Cooling System (tCO2 / Year / House) Average Emissions by Heating and Cooling System[Heating and Cooling System] = ZIDZ( Emissions by Heating and Cooling System[ Heating and Cooling System], Housing by Heating and Cooling System[ Heating and Cooling System]) Description: The average CO2 emissions for each house, by heating and cooling system. Present In 2 Views: Used By |
HeatPumpModel_v31 | #37 A |
Average Emissions from Cooling by Grouping (tCO2 / (House * Year)) Average Emissions from Cooling by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = Average Cooling Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status]* Cooling Emissions Factor/ Pounds per Ton Description: The GHG emissions from cooling the average home, by cohort, heating and cooling system, and retrofitting status. Present In 1 View: Used By
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HeatPumpModel_v31 | #38 A |
Average Emissions from Heating by Grouping (tCO2 / (House * Year)) Average Emissions from Heating by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = Average Heating Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status]* Heating Emissions Factors[ Heating and Cooling System]/ Pounds per Ton Description: Disaggregated carbon dioxide emissions from heating for each house, by cohort, retrofitting status, etc. Present In 1 View: Used By
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HeatPumpModel_v31 | #40 A |
Average Energy Cost (Dollar / (Year * House)) Average Energy Cost[Cohort,Heating and Cooling System,Retrofitting Status] = Average Cooling Cost[ Cohort, Heating and Cooling System, Retrofitting Status]+ Average Heating Cost[ Cohort, Heating and Cooling System, Retrofitting Status] Description: The average cost of both heating and cooling a home, by grouping. Present In 2 Views: Used By
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HeatPumpModel_v31 | #45 A |
Average Energy Use (kBTU / (Year * House)) Average Energy Use[Cohort,Heating and Cooling System,Retrofitting Status] = Average Heating Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status]+ Average Cooling Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status] Description: Average energy use to both heat and cool a home. Present In 2 Views: Used By
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HeatPumpModel_v31 | #43 A |
Average Energy Use by Heating and Cooling System (kBTU / (House * Year)) Average Energy Use by Heating and Cooling System[Heating and Cooling System] = ZIDZ(SUM( Energy Use by Grouping[ Cohort!, Heating and Cooling System, Retrofitting Status!]),SUM( Housing[ Cohort!, Heating and Cooling System, Retrofitting Status!])) Description: The average energy use for each home by heating and cooling system. Present In 1 View: Used By |
HeatPumpModel_v31 | #44 A |
Average Energy Use in All Housing (kBTU / Year / House) = Total Energy Use/ Total Housing Stock Description: The average energy use across all stocks. Present In 1 View: Used By
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HeatPumpModel_v31 | #46 A |
Average EUI by Grouping (kBTU / (sf * Year)) Average EUI by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = XIDZ( Average Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status], Average Area[ Cohort, Retrofitting Status], NAREPLACEMENT) Description: The average energy use intensity by grouping Present In 1 View: Used By |
HeatPumpModel_v31 | #47 A |
Average EUI in All Housing (kBTU / (sf * Year)) = Average Energy Use in All Housing/ Average Area in All Housing Description: The average energy use intensity across all housing. Present In 1 View: Used By |
HeatPumpModel_v31 | #48 A |
Average Heating Cost Across All Homes (Dollar / Year / House) = ZIDZ( Total Heating Cost,SUM( Housing[ Cohort!, Heating and Cooling System!, Retrofitting Status!])) Description: The average amount a home spends on heating, regardless of cohort or heating and cooling system. Present In 1 View: Used By |
HeatPumpModel_v31 | #51 A |
Average Heating Energy Use (kBTU / (Year * House)) Average Heating Energy Use[Cohort,Heating and Cooling System,Retrofitting Status] = U Value by Grouping[ Cohort, Heating and Cooling System, Retrofitting Status]* Average Area[ Cohort, Retrofitting Status]* Heating Degree Days/ Heating System Efficiency[ Heating and Cooling System] Description: The average energy use for heating annually. Calculated by setting efficiency times energy use equal to total HDD, multiplied by U (or divided by R) and divided by year (to get annual use), and solving for energy use. Present In 3 Views: Used By
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HeatPumpModel_v31 | #50 A |
Average Heating Energy Use Across All Homes (kBTU / (Year * House)) = ZIDZ( Total Heating Energy Use, Total Housing Stock) Description: The average heating energy use per home, regardless of cohort, system,etc. Present In 1 View: Used By |
HeatPumpModel_v31 | #52 C |
Average Income (Dollar / Hour / House ) = 55 Description: The average income of single family homeowners in Massachusetts. Calculated from 2020 EIA RECS data for MA SFH, where each individual was assigned the average income of their reported income bracket, other than those making more than $150K/year, who were assigned $175,000. Hourly wage calculated by assuming working 8 hours a day, 5 days a week, for 50 weeks in a year. Present In 1 View: Used By
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HeatPumpModel_v31 | #53 A |
Average Indicated Fraction of Homes Retrofitting (dmnl) = SUM( Indicated Homes Retrofitting[ Cohort!, Heating and Cooling System!])/ Total Housing Stock Description: The average fraction of homes that will retrofit retrofitting after decision delayacross all housing. Present In 2 Views: Used By |
HeatPumpModel_v31 | #54 A |
Average Lifetime of Cooling Technology (Years) Average Lifetime of Cooling Technology[Heat Pump Heating and Cooling] = 12.5 Average Lifetime of Cooling Technology[Central AC Cooling] = 12.5 Average Lifetime of Cooling Technology[Window AC Cooling] = 9 Average Lifetime of Cooling Technology[No AC Cooling] = NAREPLACEMENT Description: The average lifetime of each cooling system.Central AC data from: https://www.energy.gov/energysaver/central-air-conditioningWindow AC data from: https://www.consumerreports.org/air-conditioner/is-it-time-to-get-a-new-window-air-conditioner-a1532530762/ Present In 1 View: Used By
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HeatPumpModel_v31 | #55 C |
Average Lifetime of Heating Technology (Year) Average Lifetime of Heating Technology[Heat Pump Heating and Cooling] = 12.5 Average Lifetime of Heating Technology[Gas Heating] = 20 Average Lifetime of Heating Technology[Oil Heating] = 20 Description: The average lifetime of each heating system.Heat pump data from: https://glascohvac.com/heating/heat-pumps/long-heat-pump-last/Gas data from: https://www.carrier.com/residential/en/us/products/furnaces/how-long-does-a-furnaces-last/Oil data from: https://modernize.com/hvac/heating-repair-installation/furnace/oil Present In 1 View: Used By
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HeatPumpModel_v31 | #56 A |
Average Subsidized Retrofit Cost (Dollar / House) = SUM( Housing[ Cohort!, Heating and Cooling System!,Open to Retrofitting]* Subsidized Retrofit Cost[ Cohort!, Heating and Cooling System!])/SUM( Housing[ Cohort!, Heating and Cooling System!,Open to Retrofitting]) Description: The average subsidized retrofit cost across all houses. Present In 1 View: Used By |
HeatPumpModel_v31 | #57 C |
Average Time To Consider Switching (Year ) = 15 Description: The average time it takes for a house to consider switching their heating and cooling system. Present In 2 Views: Used By
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HeatPumpModel_v31 | #58 A |
Average U Value by Heating and Cooling System (kBTU / (sf * F * Year)) Average U Value by Heating and Cooling System[Heating and Cooling System] = ZIDZ( Total U Value by Heating and Cooling System[ Heating and Cooling System], Housing by Heating and Cooling System[ Heating and Cooling System]) Description: The U value of the average house using each heating and cooling system. Present In 1 View: Used By |
HeatPumpModel_v31 | #60 A |
Average U Value of Houses Switching Into Sources (kBTU / (sf * F * Year)) Average U Value of Houses Switching Into Sources[Heating and Cooling System] = XIDZ( U Value Increase from Source Switching[ Heating and Cooling System], Houses Switching Into Sources[ Heating and Cooling System], NAREPLACEMENT) Description: The average U value of houses switching into each source, for each source. Present In 1 View: Used By |
HeatPumpModel_v31 | #61 C |
CDD on Coldest Day (F ) = 17.1 Description: The total CDD from hottest day.Data from https://www.degreedays.net/ for KOWD, weather station nearest to centre of population for MA, Natick. Calculated by finding CDDs from the past three years (February 2021 - January 2024), finding the highest CDD in each year, and averaging them. Following industry standard, used 65°F as set point. Present In 1 View: Used By
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HeatPumpModel_v31 | #63 F,A |
Change in AC Noise 1 (1/Year) = ( White Noise 1- Autocorrelated Noise 1)/ Noise Correlation Time 1 Description: Change in the pink noise value; Pink noise is a first order exponential smoothing delay of the whitenoise input. Present In 1 View: Used By
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HeatPumpModel_v31 | #67 C |
Cooling Degree Days (F ) = 1029 Description: The difference between temperature setpoint (65 F) and outside temperature for heating. Typically called cooling degree days, but units are solely in terms of fahrenheit.Data from degreedays.net, using the weather station for Norwood Memorial Airport, the closest weather station to the center of MA's population, Natick. Use set point of 65°F, in line with industry standard, as at that temperature little heating or cooling is necessary. Present In 3 Views: Used By
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HeatPumpModel_v31 | #68 C |
Cooling Emissions Factor (lb CO2 / kBTU) = 614/3414.43 Description: Amount of CO2 emitted from using one kBTU to cool a home. Emissions factor is common, and is for electricity.Taken from: https://www.mass.gov/doc/2020-summary-massachusetts-ghg-emissions-reports-for-retail-sellers-of-electricity/download Present In 1 View: Used By
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HeatPumpModel_v31 | #70 A |
Cooling Energy Price (Dollar / kBTU) = Initial Cooling Energy Price* Input 1 Description: Price of cooling a home (through air conditioning), subject to the test input. Present In 3 Views: Used By
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HeatPumpModel_v31 | #69 C |
Cooling Energy Price Step Height 1 (Dimensionless ) = 0 Description: Height of step input to customer orders, as fraction of initial value. Present In 1 View: Used By
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HeatPumpModel_v31 | #71 A |
Cooling Energy Use Under Alternatives (kBTU / (House * Year)) Cooling Energy Use Under Alternatives[Cohort,Heat Pump Heating and Cooling,Not Open to Retrofitting,Heating and Cooling System] = U Value by Grouping[ Cohort, Heat Pump Heating and Cooling,Not Open to Retrofitting]* Average Area[ Cohort,Not Open to Retrofitting]* Cooling Degree Days/ Cooling System Efficiency[ Heating and Cooling System] Cooling Energy Use Under Alternatives[Cohort,Traditional Cooling,Not Open to Retrofitting,Heating and Cooling System] = U Value by Grouping[ Cohort, Traditional Cooling,Not Open to Retrofitting]* Average Area[ Cohort,Not Open to Retrofitting]* Cooling Degree Days/ Cooling System Efficiency[ Heating and Cooling System] Cooling Energy Use Under Alternatives[Cohort,Heating and Cooling System,Retrofitting Status,No AC Cooling] = 0 Cooling Energy Use Under Alternatives[Cohort,Heat Pump Heating and Cooling,Open to Retrofitting,Heating and Cooling System] = MIN( U Value by Grouping[ Cohort, Heat Pump Heating and Cooling,Open to Retrofitting], Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System])* Average Area[ Cohort,Open to Retrofitting]* Cooling Degree Days/ Cooling System Efficiency[ Heating and Cooling System] Cooling Energy Use Under Alternatives[Cohort,Fossil Fuel Heating,Open to Retrofitting,Heating and Cooling System] = MIN( U Value by Grouping[ Cohort, Fossil Fuel Heating,Open to Retrofitting], Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System])* Average Area[ Cohort,Open to Retrofitting]* Cooling Degree Days/ Cooling System Efficiency[ Heating and Cooling System] Description: The cooling energy use of each group, if they were to switch into another heating and cooling source. That is, when they switch, their area and U stays the same, but the energy system's efficiency may change, meaning that each grouping (the first "Heating and Cooling System" subscript) must consider their cooling energy use under alternative systems (the second "Heating and Cooling Source" subscript).Houses that are open to retrofitting consider the optimal U that they'll retrofit to, unless that U is actually greater than their current one. Present In 1 View: Used By
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HeatPumpModel_v31 | #72 A |
Cooling System Efficiency (dmnl) Cooling System Efficiency[Heat Pump Heating and Cooling] = Heat Pump Cooling COP TABLE( Time) Cooling System Efficiency[Central AC Cooling] = 2.93 Cooling System Efficiency[Window AC Cooling] = 2.49* Effect of Air Leakage from Window AC on Efficiency Cooling System Efficiency[No AC Cooling] = NAREPLACEMENT Description: The COP of different air conditioning technologies on an average day. This is not in terms of energy efficiency rating or seasonal efficiency rating, although some are calculated from those figures.For central ac: assume value of tenFor window AC (under portable AC): https://learnmetrics.com/eer-rating/All are very rough, and non-heat pump cooling systems are assumed to have constant efficiency. Present In 4 Views: Used By
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HeatPumpModel_v31 | #73 C |
Cost of Bad Air Conditioning (Dollar / House ) Cost of Bad Air Conditioning[Window AC Cooling] = 80000 Cost of Bad Air Conditioning[No AC Cooling] = 100000 Description: Willingness of Window AC users and those without AC to pay for central AC or heat pumps due to those technologies' inability to heat homes and their noisiness.Chosen to be sufficiently high that very few or no houses choose to keep window AC or no AC. Present In 1 View: Used By
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HeatPumpModel_v31 | #74 C |
Cost of Cooling System Replacement (Dollar / House) Cost of Cooling System Replacement[Heat Pump Heating and Cooling] = Subsidized Cost of Heat Pumps Cost of Cooling System Replacement[Central AC Cooling] = 5800 Cost of Cooling System Replacement[Window AC Cooling] = 1600 Cost of Cooling System Replacement[No AC Cooling] = 0 Description: The cost of installing a cooling system in each house. Assumed to be constant, except for heat pumps.Central AC cost from: https://www.angi.com/articles/how-much-does-installing-new-ac-cost.htmWindow AC cost from: https://homeguide.com/costs/window-ac-unit-cost Present In 1 View: Used By
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HeatPumpModel_v31 | #75 C |
Cost of Heating System Replacement (Dollar / House ) Cost of Heating System Replacement[Heat Pump Heating and Cooling] = Subsidized Cost of Heat Pumps Cost of Heating System Replacement[Gas Heating] = 10000 Cost of Heating System Replacement[Oil Heating] = 7450 Description: The cost of buying and installing a heating system in each house.Took upper limits of estimates for each, since MA tends to be a more expensive state.Oil and gas cost assumed to be constant.Initial heat pump cost is from: https://www.masssave.com/en/residential/rebates-and-incentives/heating-and-cooling/heat-pumps/air-source-heat-pumps, and then I assume that the cost improves in proportion to the trajectory in Mass. gov's deep decarbonization report:Gas furnace cost from: https://www.angi.com/articles/common-gas-furnace-prices.htmOil furnace cost from: https://modernize.com/hvac/heating-repair-installation/furnace/oil Present In 1 View: Used By
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HeatPumpModel_v31 | #77 L |
Cumulative Emissions (tCO2) = ∫ Emissions dt + 0.0 Description: The total amount of CO2 emitted into the atmosphere during the course of the model's run. Present In 1 View: Used By |
HeatPumpModel_v31 | #78 L |
Cumulative Federal Subsidy (Dollar) = ∫ Annual Federal Subsidies dt + 0.0 Description: The amount of money the federal government spends on subsidies for heat pumps and retrofits since the beginning of the model's run. Present In 1 View: Used By |
HeatPumpModel_v31 | #79 L |
Cumulative MA Subsidy (Dollar) = ∫ Annual MA Subsidies dt + 0.0 Description: The amount of subsidies that the Massachusetts state government has given out for heat pumps and retrofits since the beginning of the model's run. Present In 1 View: Used By |
HeatPumpModel_v31 | #81 A |
Cumulative Subsidies (Dollar) = Cumulative Subsidy for Retrofits+ Cumulative Subsidies for Heat Pumps Description: The amount spent on subsidies for both heat pumps and retrofits by both since state and federal governments the beginning of the model run. Present In 1 View: Used By |
HeatPumpModel_v31 | #80 L |
Cumulative Subsidies for Heat Pumps (Dollar) = ∫ Annual Heat Pump Subsidy dt + 0.0 Description: The total amount of dollars spent on subsidizing heat pumps throughout the model's run. Present In 1 View: Used By
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HeatPumpModel_v31 | #82 L |
Cumulative Subsidy for Retrofits (Dollar) = ∫ Annual Retrofit Subsidy dt + 0.0 Description: The total amount spent on retrofits since the beginning of the model's run. Present In 1 View: Used By
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HeatPumpModel_v31 | #83 C |
Days per Year (Day / Year ) = 365 Description: The number of days each year. Used to convert yearly measures to daily ones. Present In 1 View: Used By
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HeatPumpModel_v31 | #88 C |
Demolition Hazard Rate (1 / Year ) = 0.01 Description: Proportion of homes demolished every year. Value is assumed to be equal across both retrofitting and non-retrofitting homes. Heuristically chosen so total housing stock grows at net 1%/year. Present In 1 View: Used By
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HeatPumpModel_v31 | #89 F,A |
Demolitions (House / Year) Demolitions[Cohort,Heating and Cooling System,Retrofitting Status] = Demolition Hazard Rate* Housing[ Cohort, Heating and Cooling System, Retrofitting Status]*(1- No Turnover Switch) Description: Homes that are destroyed every year. Present In 3 Views: Used By
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HeatPumpModel_v31 | #90 C |
Discount Rate (1 / Year ) = 0.05 Description: Discount rate for discounting energy savings cash flows.Average and bounds from demand-side discount rate from MassDEP's analysis of pathways for net zero (pg. 103): https://www.mass.gov/doc/energy-pathways-for-deep-decarbonization-report/downloadhttps://www.mass.gov/doc/energy-pathways-for-deep-decarbonization-report/download Present In 4 Views: Used By
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HeatPumpModel_v31 | #91 A |
EEHIC Expected Subsidy for Retrofits (Dollar / House) EEHIC Expected Subsidy for Retrofits[Cohort,Heating and Cooling System,Retrofitting Status] = MIN( Proportional Subsidy Switch for Retrofits* Expected EEHIC Proportional Subsidy Rate for Retrofits* Unsubsidized Retrofit Cost Intensity[ Cohort, Heating and Cooling System]* Average Area[ Cohort, Retrofitting Status], Expected EEHIC Maximum Subsidy for Retrofits) Description: The proportional subsidy offered against the retrofit cost intensity, taking into account whether it has gone into effect, from the Energy Efficient Home Improvement Credit. Present In 1 View: Used By
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HeatPumpModel_v31 | #92 C |
EEHIC Maximum Subsidy for Retrofits (Dollar / House ) = 1200 Description: The maximum proportional subsidy that will be offered from Energy Efficient Home Improvement Credit, regardless of that subsidy's discount. Source: https://www.nrdc.org/stories/consumer-guide-inflation-reduction-act Present In 1 View: Used By
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HeatPumpModel_v31 | #93 C |
EEHIC Proportional Subsidy Rate for Retrofits (dmnl ) = 0.3 Description: Proportion of total retrofit cost that will be credited with the Energy Efficiency Home Improvement Credit.Source: https://www.nrdc.org/stories/consumer-guide-inflation-reduction-act Present In 1 View: Used By
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HeatPumpModel_v31 | #94 C |
EEHIC Subsidy for Retrofits Final Year (Year) = 2033 Description: The year in which the EEHIC is phased out. If final time, then has no ending data.Source: https://www.irs.gov/credits-deductions/energy-efficient-home-improvement-credit Present In 2 Views: Used By
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HeatPumpModel_v31 | #95 C |
Effect of Air Leakage from Window AC on Efficiency (dmnl) = 0.9*10/11 Description: A window air conditioner typically does not perfectly cover its intended cavity, leading to more air leakage and therefore reducing efficiency.Taken from: https://www.energy.gov/sites/prod/files/2014/08/f18/ba_innovations_1-2-5_window_ac.pdf Present In 1 View: Used By
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HeatPumpModel_v31 | #98 F,A |
Emissions (tCO2 / Year) = SUM( Emissions by Grouping[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: The total amount of emissions across all housing groups. Present In 2 Views: Used By
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HeatPumpModel_v31 | #96 A |
Emissions by Grouping (tCO2 / Year) Emissions by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = Housing[ Cohort, Heating and Cooling System, Retrofitting Status]* Average Emissions by Grouping[ Cohort, Heating and Cooling System, Retrofitting Status] Description: The total emissions for the most disaggregated grouping in the model. Present In 2 Views: Used By
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HeatPumpModel_v31 | #97 A |
Emissions by Heating and Cooling System (tCO2 / Year) Emissions by Heating and Cooling System[Heating and Cooling System] = SUM( Emissions by Grouping[ Cohort!, Heating and Cooling System, Retrofitting Status!]) Description: The total amount of emissions for houses by Heating and Cooling System. Present In 1 View: Used By
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HeatPumpModel_v31 | #99 C |
Energy Price Exponential Growth Rate 1 (1/Year ) = 0 Description: The exogenous growth fraction for the test input. Present In 1 View: Used By
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HeatPumpModel_v31 | #101 C |
Energy Price Pulse Quantity 1 (Dimensionless*Year) = 0 Description: Pulse value, as a fraction of the base value of Input.For example, to pulse in a quantity equal to 50% of the current value of input, set to.50. Present In 1 View: Used By
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HeatPumpModel_v31 | #103 C |
Energy Price Ramp Slope 1 (1/Year ) = 0 Description: Slope of the ramp input, as a fraction of the base value (per week). Present In 1 View: Used By
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HeatPumpModel_v31 | #106 A |
Energy Savings (dmnl) Energy Savings[Cohort,Heating and Cooling System] = MAX(0,ABS(ZIDZ(( Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System]- U Value by Grouping[ Cohort, Heating and Cooling System,Open to Retrofitting]), U Value by Grouping[ Cohort, Heating and Cooling System,Open to Retrofitting]))) Description: The amount of energy savings that not refitting houses would achieve if they were to retrofit. Because we assume area, HDD, and efficiency stay the same before and after retrofitting, this saving is solely from changing the U value. Present In 2 Views: Used By
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HeatPumpModel_v31 | #107 A |
Energy Use by Gas Houses (kBTU/ Year) = SUM( Energy Use by Grouping[ Cohort!,Gas and Central AC, Retrofitting Status!])+SUM( Energy Use by Grouping[ Cohort!,Gas and Window AC, Retrofitting Status!])+SUM( Energy Use by Grouping[ Cohort!,Gas and No AC, Retrofitting Status!]) Description: The total amount of energy for heating and cooling used by homes which primarily use gas to heat their homes. Present In 1 View: Used By |
HeatPumpModel_v31 | #108 A |
Energy Use by Grouping (kBTU / Year) Energy Use by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = Average Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status]* Housing[ Cohort, Heating and Cooling System, Retrofitting Status] Description: The total amount of energy used for heating and cooling in each group. Present In 2 Views: Used By
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HeatPumpModel_v31 | #109 A |
Energy Use by Heat Pump Houses (kBTU / Year) = SUM( Energy Use by Grouping[ Cohort!,Heat Pump Only, Retrofitting Status!])+SUM( Energy Use by Grouping[ Cohort!,Heat Pump and Gas, Retrofitting Status!])+SUM( Energy Use by Grouping[ Cohort!,Heat Pump and Oil, Retrofitting Status!]) Description: The amount of energy used for heating and cooling by homes which primarily use heat pumps to heat their home. Present In 1 View: Used By |
HeatPumpModel_v31 | #110 A |
Energy Use by Oil Houses (kBTU / Year) = SUM( Energy Use by Grouping[ Cohort!,Oil and Central AC, Retrofitting Status!])+SUM( Energy Use by Grouping[ Cohort!,Oil and Window AC, Retrofitting Status!])+SUM( Energy Use by Grouping[ Cohort!,Oil and No AC, Retrofitting Status!]) Description: The total amount of energy for heating and cooling used by homes primarily using oil to heat their home. Present In 1 View: Used By |
HeatPumpModel_v31 | #111 SM,A |
Expected Cooling Energy Price (Dollar / kBTU) = SMOOTH3( Cooling Energy Price, Delay in Forming Expectations of Energy Price) Description: Energy price for one kBTU of cooling used to calculate optimal U value. Third order exponential smoothing of cooling energy price. Present In 4 Views: Used By
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HeatPumpModel_v31 | #112 SM,A |
Expected EEHIC Maximum Subsidy for Retrofits (Dollar / House) = SMOOTH3( Implemented EEHIC Maximum Subsidy for Retrofits, Delay in Changing Subsidy Expectations) Description: Expected maximum proportional subsidy that lowers subsidized retrofit costs from the Energy Efficiency Home Improvement Credit, taking into account information delays. Present In 2 Views: Used By
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HeatPumpModel_v31 | #113 SM,A |
Expected EEHIC Proportional Subsidy Rate for Retrofits (dmnl) = SMOOTH3( Implemented EEHIC Subsidy Proportional Rate for Retrofits, Delay in Changing Subsidy Expectations)* Proportional Subsidy Switch for Retrofits Description: Expected proportional subsidy rate that lowers subsidized retrofit costs, taking into account information delays. Present In 2 Views: Used By
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HeatPumpModel_v31 | #116 SM,A |
Expected IRA Proportional Subsidy Rate for Heat Pumps (dmnl) = SMOOTH3( IRA Implemented Subsidy Proportional Rate for Heat Pumps, Delay in Changing Subsidy Expectations)* Proportional IRA Subsidy Switch for Heat Pumps Description: Expected proportional subsidy rate that lowers subsidized retrofit costs, taking into account information delays. Present In 1 View: Used By
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HeatPumpModel_v31 | #120 SM,A |
Expected Maximum IRA Proportional Subsidy for Heat Pumps (Dollar / House) = SMOOTH3( Implemented IRA Maximum Proportional Subsidy for Heat Pumps, Delay in Changing Subsidy Expectations) Description: Expected maximum proportional subsidy that lowers subsidized retrofit costs, taking into account information delays. Present In 1 View: Used By
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HeatPumpModel_v31 | #122 A |
Expected Subsidy for Heat Pumps (Dollar / House) = MassSave Expected Lump Sum Subsidy for Heat Pumps+ IRA Expected Proportional Subsidy for Heat Pumps Description: Total subsidy offered against retrofit cost across both lump sum and proportional subsidies. Present In 2 Views: Used By
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HeatPumpModel_v31 | #124 A |
Federal Annual Heat Pump Subsidy (Dollar / Year) = Total Heat Pump Sales* IRA Actual Subsidy for Heat Pumps Description: The amount of subsidies the federal government spends on heat pumps through the Inflation Reduction Act every year. Present In 1 View: Used By
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HeatPumpModel_v31 | #125 A |
Federal Annual Retrofit Subsidy (Dollar / Year) = SUM(( Actual EEHIC Subsidy for Retrofits[ Cohort!, Heating and Cooling System!]+ Actual HOMES Subsidy for Retrofits[ Cohort!, Heating and Cooling System!])* Houses Retrofitting per Year[ Cohort!, Heating and Cooling System!]) Description: The amount of federal subsidies spent by the federal government, through the IRA. Present In 1 View: Used By
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HeatPumpModel_v31 | #129 A |
Fraction of Houses in Each Heating and Cooling System (dmnl) Fraction of Houses in Each Heating and Cooling System[Heating and Cooling System] = XIDZ( Housing by Heating and Cooling System[ Heating and Cooling System], Total Housing Stock, NAREPLACEMENT) Description: The fraction of houses using each heating and cooling system Present In 1 View: Used By |
HeatPumpModel_v31 | #131 A |
Fraction of Housing by Heating and Cooling System (dmnl) Fraction of Housing by Heating and Cooling System[Heating and Cooling System] = Housing by Heating and Cooling System[ Heating and Cooling System]/ Total Housing Stock Description: The fraction of the total housing stock using each heating and cooling system. Present In 1 View: Used By |
HeatPumpModel_v31 | #134 A |
Fraction Retrofitting (dmnl) = Housing by Retrofitting Status[Open to Retrofitting]/( Housing by Retrofitting Status[Not Open to Retrofitting]+ Housing by Retrofitting Status[Open to Retrofitting]) Description: Proportion of housing that is open to retrofitting, across all cohorts and systems. Present In 1 View: Used By |
HeatPumpModel_v31 | #132 LI,A |
Fraction Retrofitting by Cohort (dmnl) Fraction Retrofitting by Cohort[Cohort] = ZIDZ(SUM( Housing[ Cohort, Heating and Cooling System!,Open to Retrofitting]),SUM( Housing[ Cohort, Heating and Cooling System!, Retrofitting Status!])) Description: Fraction that are retrofitting, only by cohort. Present In 2 Views: Used By
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HeatPumpModel_v31 | #133 A |
Fraction Retrofitting by System and Cohort (dmnl) Fraction Retrofitting by System and Cohort[Cohort,Heating and Cooling System] = ZIDZ( Housing[ Cohort, Heating and Cooling System,Open to Retrofitting],SUM( Housing[ Cohort, Heating and Cooling System, Retrofitting Status!])) Description: The fraction of houses that are retrofitting, by heating/cooling system and cohort. Present In 1 View: Used By |
HeatPumpModel_v31 | #135 C |
Fractional Decrease in Code U (1 / Year ) = 0 Description: Fractional decrease in code per year. Exogenous and set by policymakers in the real world. For initial paper, assume that code U is constant. Present In 1 View: Used By
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HeatPumpModel_v31 | #136 A,T |
Gas COP TABLE (dmnl) Gas COP TABLE([(2020,0)-(2050,1)],(2020,0.9),(2030,0.925),(2040,0.95),(2050,0.95)) ![]() Description: Efficiency of gas systems over time. Taken as the average of projected efficiency for reference gas boilers and gas furnaces, from MassDEP's Energy Pathways for Deep Decarbonization Report (pg. 97): https://www.mass.gov/doc/energy-pathways-for-deep-decarbonization-report/download Present In 1 View: Used By
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HeatPumpModel_v31 | #137 C |
HDD on Coldest Day (F ) = 55.2333 Description: The total HDD from coldest day.Data from https://www.degreedays.net/ for KOWD, weather station nearest to centre of population for MA, Natick. Calculated by finding HDDs from the past three years (February 2021 - January 2024), finding the highest HDD in each year, and averaging them. Following industry standard, used set point of 65°F. Present In 1 View: Used By
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HeatPumpModel_v31 | #138 A,T |
Heat Pump Cooling COP TABLE (dmnl) Heat Pump Cooling COP TABLE([(2020,0)-(2050,10)],(2020,4.3),(2030,4.8),(2040,5.17),(2050,5.28)) ![]() Description: The COP of heat pumps when used for cooling. Calculated by assuming the ratio of heating and cooling COP is constant over time -- as heating COP improves the ability to cool improves proportionally-- finding cooling COP in 2020, finding the COP for cooling of heating in 2018, and then using the ratio between the two in 2020 to project future values. Data on this was difficult to find.Projected heating COP from pg. 97 of MassDEP's Energy Pathways for Deep Decarbonization: https://www.mass.gov/doc/energy-pathways-for-deep-decarbonization-report/downloadCooling COP in 2020 here: https://www.raleighheatingandair.com/blog/is-a-heat-pump-more-effective-at-cooling-or-heating/ Present In 1 View: Used By
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HeatPumpModel_v31 | #139 C |
Heat Pump COP on Coldest Days (dmnl ) = 2.16438 Description: The heat pump COP on coolest day of the year.Taken from NYSERDA/MassCEC study on heat pump performance on 41 heat pumps: https://e4thefuture.org/wp-content/uploads/2022/06/Residential-ccASHP-Building-Electrification_060322.pdf (pg. 24). Regressed COP on temperature and its square. Using daily data on HDD (set point 65°F) for 2021-2023 from degreedays.net, calculated temperature of coldest day on average. Plugged that into regression model to find COP on coldest day. Present In 1 View: Used By
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HeatPumpModel_v31 | #140 A,T |
Heat Pump Heating COP TABLE (dmnl) Heat Pump Heating COP TABLE([(2020,0)-(2050,10)],(2020,2.485),(2030,2.785),(2040,2.99),(2050,3.05)) ![]() Description: The efficiency of heat pumps for heating, over time. Taken as the average of projected COP for reference ASHP and ductless mini-splits from MassDEP's Energy Pathways Report (pg. 97): https://www.mass.gov/doc/energy-pathways-for-deep-decarbonization-report/download Present In 1 View: Used By
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HeatPumpModel_v31 | #141 C |
Heating Degree Days (F ) = 5026 Description: The difference between temperature setpoint (65 F) and outside temperature.Data from degreedays.net, using the weather station for Norwood Memorial Airport, the closest weather station to the center of MA's population, Natick. In line with industry standard, use set point of 65°F, as thattemperature little heating or cooling is needed. Present In 3 Views: Used By
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HeatPumpModel_v31 | #142 C |
Heating Emissions Factors (lb CO2 / kBTU) Heating Emissions Factors[Heat Pump Heating and Cooling] = 684/3414.43 Heating Emissions Factors[Gas Heating] = 116.65/1000 Heating Emissions Factors[Oil Heating] = 163.45/1000 Description: The pounds of CO2 emitted per kBTU of heating energy provided, for each heating fuel.Data for heat pumps (electricity) is: https://www.mass.gov/doc/2020-summary-massachusetts-ghg-emissions-reports-for-retail-sellers-of-electricity/downloadRest is from: https://www.eia.gov/environment/emissions/co2_vol_mass.phpIn line with that source, I assume that each heat pump will add to the grid and is not part of base demand, and so the marginal emissions from producing electricity from heat pumps will be constant at the value as it will come from natural gas generators (explanation of which is from here: https://willbrownsberger.com/how-green-will-the-power-be/ Present In 1 View: Used By
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HeatPumpModel_v31 | #144 A |
Heating Energy Use Under Alternatives (kBTU / (House * Year)) Heating Energy Use Under Alternatives[Cohort,Heat Pump Heating and Cooling,Not Open to Retrofitting,Heating and Cooling System] = U Value by Grouping[ Cohort, Heat Pump Heating and Cooling,Not Open to Retrofitting]* Average Area[ Cohort,Not Open to Retrofitting]* Heating Degree Days/ Heating System Efficiency[ Heating and Cooling System] Heating Energy Use Under Alternatives[Cohort,Fossil Fuel Heating,Not Open to Retrofitting,Heating and Cooling System] = U Value by Grouping[ Cohort, Fossil Fuel Heating,Not Open to Retrofitting]* Average Area[ Cohort,Not Open to Retrofitting]* Heating Degree Days/ Heating System Efficiency[ Heating and Cooling System] Heating Energy Use Under Alternatives[Cohort,Heat Pump Heating and Cooling,Open to Retrofitting,Heating and Cooling System] = MIN( U Value by Grouping[ Cohort, Heat Pump Heating and Cooling,Open to Retrofitting], Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System])* Average Area[ Cohort,Open to Retrofitting]* Heating Degree Days/ Heating System Efficiency[ Heating and Cooling System] Heating Energy Use Under Alternatives[Cohort,Fossil Fuel Heating,Open to Retrofitting,Heating and Cooling System] = MIN( U Value by Grouping[ Cohort, Fossil Fuel Heating,Open to Retrofitting], Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System])* Average Area[ Cohort,Open to Retrofitting]* Heating Degree Days/ Heating System Efficiency[ Heating and Cooling System] Description: The heating energy use of each group, if they were to switch into another Heating and Cooling System. That is, when they switch, their area and U stays the same, but the energy system's efficiency may change, meaning that each grouping (the first "Heating and Cooling System" subscript) must consider their heating energy use under alternative systems (the second "Heating and Cooling System" subscript). Houses about to retrofit use the U value that they will retrofit too; using their current U-value that they'll retrofit away from is too short cited. Present In 1 View: Used By
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HeatPumpModel_v31 | #145 A |
Heating System Efficiency (dmnl) Heating System Efficiency[Heat Pump Heating and Cooling] = Heat Pump Heating COP TABLE( Time) Heating System Efficiency[Gas Heating] = Gas COP TABLE( Time) Heating System Efficiency[Oil Heating] = Oil COP TABLE( Time) Description: The COP (for heat pumps) or annual fuel utilization efficiency of heating systems. Varies over time. Present In 3 Views: Used By
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HeatPumpModel_v31 | #146 C |
Homeowner Hours Spent Retrofitting (Hour ) = 750 Description: The amount of hours a homeowners spends retrofitting their home themselves, i.e., the hours spent deciding to retrofit, supervising audits, moving out of the home as necessary, etc. No hard data on this, calibrated so that the initial fraction of homes willing to retrofit is 10%. Present In 1 View: Used By
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HeatPumpModel_v31 | #147 C |
HOMES Cut Off for Savings (dmnl ) = 0.35 Description: The percent energy savings needed to get the higher subsidy amount from the Home Owner Managing Energy Savings rebate. Taken from: https://www.nrdc.org/bio/lauren-urbanek/theres-no-better-time-consider-home-energy-upgrades#: :text=The%20HOMES%20Rebate%20Program%20provides,or%20from%20measured%20energy%20savings. Present In 2 Views: Used By
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HeatPumpModel_v31 | #148 SM,A |
HOMES Expected Higher Subsidy (Dollar / House) = SMOOTH3( HOMES Implemented High Subsidy, Delay in Changing Subsidy Expectations) Description: Expected lump sum subsidy that lowers subsidized retrofit costs, taking into account information delays. This is for homes that save more than 35% of energy Present In 1 View: Used By
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HeatPumpModel_v31 | #150 C |
HOMES High Subsidy Amount (Dollar / House ) = 4000 Description: The subsidy from the home owner managing energy savings rebate for retrofits saving more than 35% of energy.Source: https://www.nrdc.org/bio/lauren-urbanek/theres-no-better-time-consider-home-energy-upgrades#: :text=The%20HOMES%20Rebate%20Program%20provides,or%20from%20measured%20energy%20savings. Present In 1 View: Used By
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HeatPumpModel_v31 | #151 A |
HOMES Implemented High Subsidy (Dollar / House) = IF THEN ELSE( Time>= HOMES Subsidy Implementation Year:AND: Time<= HOMES Subsidy Final Year, HOMES High Subsidy Amount,0) Description: Implemented higher subsidy from the HOMES rebate program. Present In 2 Views: Used By
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HeatPumpModel_v31 | #154 C |
HOMES Subsidy Final Year (Year) = 2032 Description: Final year of Home Owner Managing Energy Savings rebate, assumed to be the same as that of the EEHIC. Present In 1 View: Used By
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HeatPumpModel_v31 | #156 A |
Houses Considering Switching System (Houses / Year) Houses Considering Switching System[Cohort,Heating and Cooling System,Retrofitting Status] = Housing[ Cohort, Heating and Cooling System, Retrofitting Status]/ Average Time To Consider Switching Description: The number of houses per year considering switching their heating and cooling system. Present In 1 View: Used By
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HeatPumpModel_v31 | #158 A |
Houses Retrofitting (Houses) Houses Retrofitting[Cohort,Heating and Cooling System] = Housing[ Cohort, Heating and Cooling System,Open to Retrofitting] Description: Total amount of houses retrofitting in each cohort and heating and cooling system. Present In 1 View: Used By |
HeatPumpModel_v31 | #157 A |
Houses Retrofitting per Year (House / Year) Houses Retrofitting per Year[Cohort,Heating and Cooling System] = IF THEN ELSE( Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System]< U Value by Grouping[ Cohort, Heating and Cooling System,Open to Retrofitting], Housing[ Cohort, Heating and Cooling System,Open to Retrofitting]/ Retrofit Delay,0) Description: The number of homes retrofitting per year. This is an approximation because the number of homes actively retrofitting is equal to the number of homes open to retrofitting only if their average U value is less than optimal U. Assumes that if, say, the retrofitting delay is 5 years, then on average 20% of homes are retrofitting every year. Present In 1 View: Used By
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HeatPumpModel_v31 | #159 A |
Houses Switching Into Sources (Houses / Year) Houses Switching Into Sources[Heating and Cooling System] = SUM( Houses Switching Sources[ Cohort!, Heating and Cooling System!, Retrofitting Status!, Heating and Cooling System]) Description: The number of houses switching into each Heating and Cooling System, cohort, and retrofitting group due to system switching. Present In 1 View: Used By
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HeatPumpModel_v31 | #160 F,A |
Houses Switching Sources (House / Year) Houses Switching Sources[Cohort,Heat Pump Heating and Cooling,Retrofitting Status,Heating and Cooling System] = Fraction of Houses Switching[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]* Houses Considering Switching System[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status]* System Switching SWITCH Houses Switching Sources[Cohort,Fossil Fuel Heating,Retrofitting Status,Heating and Cooling System] = Fraction of Houses Switching[ Cohort, Fossil Fuel Heating, Retrofitting Status, Heating and Cooling System]* Houses Considering Switching System[ Cohort, Fossil Fuel Heating, Retrofitting Status]* System Switching SWITCH Description: The number of houses switching Heating and Cooling Systems. The first heating and cooling system subscript is the system combination they're leaving, and the h & c system subscript is the combination they're entering. Present In 3 Views: Used By
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HeatPumpModel_v31 | #174 L |
Housing (House) Housing[Cohort,Heating and Cooling System,Not Open to Retrofitting] = ∫((( Housing Starts[ Cohort, Heating and Cooling System]- Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System])- Demolitions[ Cohort, Heating and Cooling System,Not Open to Retrofitting])+(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System!,Not Open to Retrofitting, Heating and Cooling System])))-(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System,Not Open to Retrofitting, Heating and Cooling System!])) dt + Initial Homes Not Retrofitting[ Cohort, Heating and Cooling System] Housing[Cohort,Heating and Cooling System,Open to Retrofitting] = ∫(( Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System]- Demolitions[ Cohort, Heating and Cooling System,Open to Retrofitting])+(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System!,Open to Retrofitting, Heating and Cooling System])))-(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System,Open to Retrofitting, Heating and Cooling System!])) dt + Initial Homes Retrofitting[ Cohort, Heating and Cooling System] Description: Houses, divided into those open to retrofitting (i.e., they will retrofit if their U is not equal to optimal) and those who are not. Present In 7 Views:
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HeatPumpModel_v31 | #163 A |
Housing by Cohort (House) Housing by Cohort[Cohort] = SUM( Housing[ Cohort, Heating and Cooling System!, Retrofitting Status!]) Description: Number of houses per cohort Present In 1 View: Used By |
HeatPumpModel_v31 | #161 A |
Housing by Cohort and Heating and Cooling System (Houses) Housing by Cohort and Heating and Cooling System[Cohort,Heating and Cooling System] = SUM( Housing[ Cohort, Heating and Cooling System, Retrofitting Status!]) Description: Housing by heating and cooling system and cohort, irrespective of retrofit status. Present In 2 Views: Used By
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HeatPumpModel_v31 | #162 A |
Housing by Cohort and Retrofitting Status (House) Housing by Cohort and Retrofitting Status[Cohort,Retrofitting Status] = SUM( Housing[ Cohort, Heating and Cooling System!, Retrofitting Status]) Description: Amount of housing by retrofit status and cohort. Present In 3 Views: Used By
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HeatPumpModel_v31 | #164 A |
Housing by Heating and Cooling System (House) Housing by Heating and Cooling System[Heating and Cooling System] = SUM( Housing[ Cohort!, Heating and Cooling System, Retrofitting Status!]) Description: Number of houses by energy source across all cohorts. Present In 1 View: Used By
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HeatPumpModel_v31 | #165 A |
Housing by Retrofitting Status (House) Housing by Retrofitting Status[Retrofitting Status] = SUM( Housing by Cohort and Retrofitting Status[ Cohort!, Retrofitting Status]) Description: Amount of housing by retrofitting status, across all cohorts and systems. Present In 1 View: Used By
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HeatPumpModel_v31 | #166 C |
Housing Fractional Growth Rate (1 / Year ) = 0.02 Description: The annual growth rate in housing. Heuristically chosen so that total housing stock grows at net 1%/year. Present In 1 View: Used By
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HeatPumpModel_v31 | #173 F,A |
Housing Starts (Houses / Year) Housing Starts[Cohort,Heating and Cooling System] = Housing Fractional Growth Rate*SUM( Housing[ Cohort!, Heating and Cooling System, Retrofitting Status!])* Active Cohort Indicator[ Cohort]*(1- No Turnover Switch) Description: Homes being built. Assumed to be equal to the total number of homes times a constant fractional growth rate and only homes that are not open to retrofits will be built. Present In 3 Views: Used By
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HeatPumpModel_v31 | #167 A |
Housing Starts Across Cohorts () = SUM( Housing Starts In Each Cohort[ Cohort!]) Description: Housing starts across all cohorts. Present In 1 View: Used By |
HeatPumpModel_v31 | #169 A |
Housing Starts In Each Cohort (House / Year) Housing Starts In Each Cohort[Cohort] = SUM( Housing Starts[ Cohort, Heating and Cooling System!]) Description: Housing starts across heating and cooling systems. Present In 1 View: Used By
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HeatPumpModel_v31 | #175 A |
Implemented EEHIC Maximum Subsidy for Retrofits (Dollar / House) = IF THEN ELSE( Time>= Proportional EEHIC Subsidy Implementation Year for Retrofits:AND: Time<= EEHIC Subsidy for Retrofits Final Year, EEHIC Maximum Subsidy for Retrofits,0) Description: Maximum proportional subsidy from EEHIC that is actually implemented. Equal to zero before implementation year and to maximum proportional subsidy after implementation year. Present In 2 Views: Used By
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HeatPumpModel_v31 | #176 A |
Implemented EEHIC Subsidy Proportional Rate for Retrofits (dmnl) = IF THEN ELSE( Time>= Proportional EEHIC Subsidy Implementation Year for Retrofits:AND: EEHIC Subsidy for Retrofits Final Year>= Time, EEHIC Proportional Subsidy Rate for Retrofits,0) Description: The implemented proportional subsidy rate for retrofits from the IRA, taking into account whether a proportional subsidy has been implemented. Equal to zero before implementation year and proportional subsidy discount afterwards. Present In 2 Views: Used By
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HeatPumpModel_v31 | #177 A |
Implemented IRA Maximum Proportional Subsidy for Heat Pumps (Dollar / House) = IF THEN ELSE( Time>= IRA Proportional Subsidy Implementation Year for Heat Pumps:AND: Time<= IRA Lump Sum Subsidy for Heat Pumps Final Year, IRA Maximum Proportional Subsidy for Heat Pumps,0) Description: Maximum proportional subsidy for heat pumps that is actually implemented. Equal to zero before implementation year and to maximum proportional subsidy after implementation year. Present In 2 Views: Used By
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HeatPumpModel_v31 | #180 C |
Increase in Area per Year (sf / Year / House ) = 10.76 Description: The exogenous increase in area per year, found by regressing area on year house was built in RECS 2020 data for MA SFG. Present In 1 View: Used By
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HeatPumpModel_v31 | #182 A |
Indicated Fraction of Homes Retrofitting (dmnl) Indicated Fraction of Homes Retrofitting[Cohort,Heating and Cooling System] = Affinity of Retrofitting[ Cohort, Heating and Cooling System]/( Affinity of Retrofitting[ Cohort, Heating and Cooling System]+ Affinity of Not Retrofitting[ Cohort, Heating and Cooling System]) Description: Proportion of households which are open to retrofitting to the optimum U. This is not necessarily all households, because the optimal U does not take into account fixed costs in retrofit costs, and so for a portion (or all) of them, retrofit costs > energy savings, and so not all (or any) households will retrofit. This also does not indicate households which are actively retrofitting, because if average U is already equal to optimum U then houses which are open to retrofitting have already retrofitted. Present In 2 Views: Used By
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HeatPumpModel_v31 | #183 A |
Indicated Homes Retrofitting (House) Indicated Homes Retrofitting[Cohort,Heating and Cooling System] = Indicated Fraction of Homes Retrofitting[ Cohort, Heating and Cooling System]* Housing by Cohort and Heating and Cooling System[ Cohort, Heating and Cooling System] Description: Number of homes that, once delays are taken into account, will be open to retrofitting. Present In 2 Views: Used By
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HeatPumpModel_v31 | #185 LI,C |
Initial Area (sf) Initial Area[Cohort] = 10 Description: Total initial area across all houses, by cohort (assuming that average area is the same across systems). Present In 1 View: Used By
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HeatPumpModel_v31 | #186 C |
Initial Average Area of Housing Starts (sf / House ) = 2347 Description: Initial average area of housing starts. Taken from average area of MA SFH homes built from 2015 to 2020, from EIA RECS data. Present In 1 View: Used By
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HeatPumpModel_v31 | #187 C |
Initial Average U Value (kBTU/(Year*sf*F)) Initial Average U Value[Cohort] = 0.19235 Description: The initial average U, equal to the average U value of MA SFH in 2022, from EIA RECS. Present In 1 View: Used By
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HeatPumpModel_v31 | #188 LI,C |
Initial Code U Value (kBTU / (sf * F * Year)) = 0.003 Description: The initial value of code U. For initial paper, assume that this is between initial optimal U (nearly 0) and average U (0.006). Present In 1 View: Used By
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HeatPumpModel_v31 | #189 C |
Initial Cooling Energy Price (Dollar / kBTU) = 0.062 Description: The price to cool a home per BTU. This is the price of electricity as all cooling systems, as air conditioning systems, use electricity. Present In 1 View: Used By
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HeatPumpModel_v31 | #190 C |
Initial Fraction of Homes Retrofitting (dmnl ) = 0.1 Description: Initial fraction of homes open to retrofitting. Heuristically chosen to be 0.1 to match low level of retrofitting that current occurs. Present In 1 View: Used By
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HeatPumpModel_v31 | #195 C |
Initial Housing (House) Initial Housing[Cohort,Heating and Cooling System] = 2.2e+06 Description: The total number of houses that begin in each cohort and heating and cooling source. Taken from CIN file. Present In 1 View: Used By
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HeatPumpModel_v31 | #199 A |
Input 1 (Dimensionless) = 1+STEP( Cooling Energy Price Step Height 1, INITIAL TIME+ Step Time 1)+( Energy Price Pulse Quantity 1/ TIME STEP)*PULSE( INITIAL TIME+ Pulse Time 1, TIME STEP)+RAMP( Energy Price Ramp Slope 1, INITIAL TIME+ Ramp Start Time 1, INITIAL TIME+ Ramp End Time 1)+(STEP(1, INITIAL TIME)*(exp( Energy Price Exponential Growth Rate 1*( Time- INITIAL TIME))-1))+ Sine Amplitude 1*SIN(2*3.14159*( Time- INITIAL TIME)/ Sine Period 1)+STEP(1, INITIAL TIME+ Noise Start Time 1)* Autocorrelated Noise 1 Description: Input is a dimensionless variable which provides a variety of test input patterns, including a step,pulse, sine wave, and random noise. Present In 1 View: Used By
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HeatPumpModel_v31 | #201 A |
IRA Actual Subsidy for Heat Pumps (Dollar / House) = MIN( IRA Implemented Subsidy Proportional Rate for Heat Pumps* Unsubsidized Cost of Heat Pumps, Implemented IRA Maximum Proportional Subsidy for Heat Pumps) Description: The actual implemented subsidy for heat pumps from the Inflation Reduction Act, as opposed to the expected subsidy value. Present In 1 View: Used By
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HeatPumpModel_v31 | #202 A |
IRA Expected Proportional Subsidy for Heat Pumps (Dollar / House) = MIN( Proportional IRA Subsidy Switch for Heat Pumps* Expected IRA Proportional Subsidy Rate for Heat Pumps* Unsubsidized Cost of Heat Pumps, Expected Maximum IRA Proportional Subsidy for Heat Pumps) Description: The IRA's subsidies for a heat pump's upfront costsintensity, taking into account whether it has gone into effect. Present In 1 View: Used By
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HeatPumpModel_v31 | #203 A |
IRA Implemented Subsidy Proportional Rate for Heat Pumps (dmnl) = IF THEN ELSE( Time>= IRA Proportional Subsidy Implementation Year for Heat Pumps:AND: IRA Lump Sum Subsidy for Heat Pumps Final Year>= Time, IRA Proportional Subsidy Rate for Heat Pumps,0) Description: The implemented proportional subsidy rate, taking into account whether a proportional subsidy has been implemented. Equal to zero before implementation year and proportional subsidy rate afterwards. Present In 2 Views: Used By
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HeatPumpModel_v31 | #204 C |
IRA Lump Sum Subsidy for Heat Pumps Final Year (Year ) = 2032 Description: The year in which the subsidy is phased out. If final time, then has no ending date. Present In 1 View: Used By
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HeatPumpModel_v31 | #205 C |
IRA Maximum Proportional Subsidy for Heat Pumps (Dollar / House ) = 2000 Description: The maximum proportional subsidy for heat pumps that will be offered, regardless of the subsidy rate. For instance, if the proportional subsidy is 50% but the maximum is $1000, then for a retrofit project that costs $3000 only a $1000 subsidy will be given.Taken from: https://www.energystar.gov/about/federal-tax-credits Present In 2 Views: Used By
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HeatPumpModel_v31 | #206 C |
IRA Proportional Subsidy Implementation Year for Heat Pumps (Year ) = 2023 Description: Time at which the proportional subsidy will take effect from the Inflation Reduction Act, from https://www.nrdc.org/stories/consumer-guide-inflation-reduction-act Present In 1 View: Used By
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HeatPumpModel_v31 | #207 C |
IRA Proportional Subsidy Rate for Heat Pumps (dmnl ) = 0.3 Description: Proportion of total heat pump cost that will be credited as part of a proportional subsidy.Taken from: https://www.energystar.gov/about/federal-tax-credits Present In 1 View: Used By
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HeatPumpModel_v31 | #208 C |
kBTU per kWH (kBTU / kWH ) = 3.41214 Present In 1 View: Used By
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HeatPumpModel_v31 | #209 A |
Lifetime Marginal Cost Reductions from Retrofitting (Dollar * Year * F / kBTU) Lifetime Marginal Cost Reductions from Retrofitting[Cohort,Heating and Cooling System] = Marginal Cost Reductions from Retrofitting[ Cohort, Heating and Cooling System]/ Discount Rate Description: The amount of marginal emissions reductions over the model's lifetime. Assumes constant continuous discounting at the discount rate and infinite time horizon -- homeowners are so concerned about emissions that they consider emissions that occur after they move out. Present In 1 View: Used By
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HeatPumpModel_v31 | #210 A |
Marginal Cooling Cost Reduction from Retrofitting (Dollar * F / (kBTU)) Marginal Cooling Cost Reduction from Retrofitting[Cohort,Heating and Cooling System] = Expected Cooling Energy Price* Cooling Degree Days/ Cooling System Efficiency[ Heating and Cooling System] Description: The marginal reduction in heating costs per square foot from retrofitting away one unit of U. Calculated as the derivative of total cooling energy costs with respect to U, where total cooling energy costs are Cooling Energy Price * Cooling Energy Use Per Square Foot, and the latter is U value * Area * Cooling Temperature Differential (CDD) / Area. Present In 2 Views: Used By
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HeatPumpModel_v31 | #211 A |
Marginal Cost at Binding U Value without EEHIC ((Dollar / sf) / (kBTU / (sf * F * Year))) Marginal Cost at Binding U Value without EEHIC[Cohort,Heating and Cooling System] = Expected Reference Marginal Cost*(ZIDZ( Reference U Value, U Value at Which EEHIC Cap Binds[ Cohort, Heating and Cooling System]))^ Sensitivity of Marginal Cost to U Value Description: This is the marginal cost of retrofitting when the cap from the EEHIC is binding. That is, this is the value the marginal cost curve jumps to at the discontinuity. Present In 1 View: Used By
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HeatPumpModel_v31 | #215 A |
Massachusetts Annual Heat Pumps Subsidy (Dollar / Year) = Total Heat Pump Sales* MassSave Implemented Lump Sum Subsidy for Heat Pumps Description: The actual subsidy provided for purchase of heat pumps by Massachusetts, as opposed to what the subsidy expected by homeowners is. Present In 1 View: Used By
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HeatPumpModel_v31 | #216 A |
Massachusetts Annual Retrofit Subsidy (Dollar / Year) = SUM( Houses Retrofitting per Year[ Cohort!, Heating and Cooling System!]* Actual MassSave Subsidy for Retrofits[ Cohort!, Heating and Cooling System!]) Description: Amount of money Massachusetts spends on MassSave subsidies for retrofits, yearly. Present In 1 View: Used By
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HeatPumpModel_v31 | #217 SM,A |
MassSave Expected Lump Sum Subsidy for Heat Pumps (Dollar / House) = SMOOTH3( MassSave Implemented Lump Sum Subsidy for Heat Pumps, Delay in Changing Subsidy Expectations) Description: Expected lump sum subsidy that lowers subsidized retrofit costs from the state, taking into account information delays. Present In 1 View: Used By
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HeatPumpModel_v31 | #219 A |
MassSave Implemented Lump Sum Subsidy for Heat Pumps (Dollar / House) = MIN( Unsubsidized Cost of Heat Pumps,IF THEN ELSE( Time>= MassSave Lump Sum Subsidy Implementation Year for Heat Pumps:AND: Time<= MassSave Lump Sum Subsidy for Heat Pumps Final Year, MassSave Lump Sum Subsidy Amount for Heat Pumps,0)) Description: Lump sum subsidy from MassSave that is actually implemented. Equal to zero before implementation year and to lump sum subsidy after implementation year. Present In 2 Views: Used By
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HeatPumpModel_v31 | #220 C |
MassSave Lump Sum Subsidy Amount for Heat Pumps (Dollar / House ) = 10000 Description: The total amount of money offered by the lump sum subsidy.Taken from: https://www.masssave.com/residential/rebates-and-incentives/heating-and-cooling/heat-pumps/air-source-heat-pumps. Present In 1 View: Used By
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HeatPumpModel_v31 | #221 C |
MassSave Lump Sum Subsidy for Heat Pumps Final Year (Year) = 2200 Description: The year in which the state's subsidy for heat pumps is phased out. Present In 1 View: Used By
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HeatPumpModel_v31 | #222 C |
MassSave Lump Sum Subsidy Implementation Year for Heat Pumps (Year ) = 2020 Description: The year in which the state's lump sum subsidy for heat pumps will activate. Present In 1 View: Used By
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HeatPumpModel_v31 | #224 A |
MassSave Subsidy for Retrofits Final Year (Year) = FINAL TIME Description: The year in which the subsidy is phased out. If final time, then has no ending data. Present In 1 View: Used By
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HeatPumpModel_v31 | #226 A |
Monthly Total Heat Pump Sales (Houses/ Month) = Total Heat Pump Sales/ Months per Year Description: The number of homes buying heat pumps, every year. Present In 1 View: Used By |
HeatPumpModel_v31 | #227 C |
Months per Year (Month / Year ) = 12 Description: The number of months per year. Present In 1 View: Used By
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HeatPumpModel_v31 | #229 A |
Net Age Shift by System (Year * House / Year) Net Age Shift by System[Cohort,Heating and Cooling System] = IF THEN ELSE( Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System]>0, Average Age[ Cohort,Not Open to Retrofitting]* Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System], Average Age[ Cohort,Open to Retrofitting]* Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System]) Description: The shift in age from switching retrofit system, by cohort and by heating and cooling system. Present In 1 View: Used By
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HeatPumpModel_v31 | #230 F,A |
Net Age Shift from Retrofitting Status Shifting (House * Year / Year) Net Age Shift from Retrofitting Status Shifting[Cohort] = SUM( Net Age Shift by System[ Cohort, Heating and Cooling System!]) Description: Shift in age within each cohort due to houses becoming open or closed to retrofitting. Present In 1 View: Used By
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HeatPumpModel_v31 | #232 F,A |
Net Area Shift due to Retrofit Status Switching (sf / Year) Net Area Shift due to Retrofit Status Switching[Cohort] = SUM( Net Area Shift by System[ Cohort, Heating and Cooling System!]) Description: Shift in area between energy sources due to houses switching sources. Present In 1 View: Used By
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HeatPumpModel_v31 | #233 F,A |
Net Change in Homes Retrofitting (Houses / Year) Net Change in Homes Retrofitting[Cohort,Heating and Cooling System] = ( Indicated Homes Retrofitting[ Cohort, Heating and Cooling System]- Housing[ Cohort, Heating and Cooling System,Open to Retrofitting])/ Time to Decide to Retrofit Description: Homes that are in the process of deciding to retrofit. Present In 3 Views: Used By
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HeatPumpModel_v31 | #234 F,A |
Net U Value Change from Retrofitting Home Shifts (House * kBTU / (Year * F * sf) / Year) Net U Value Change from Retrofitting Home Shifts[Cohort,Heating and Cooling System] = IF THEN ELSE( Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System]>0, U Value by Grouping[ Cohort, Heating and Cooling System,Not Open to Retrofitting]* Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System], U Value by Grouping[ Cohort, Heating and Cooling System,Open to Retrofitting]* Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System]) Description: Net change in U value due to homes becoming open or not to retrofitting. If net change is positive, then homes are going from not being open to retrofitting to being open, meaning non-retrofitting homes' U value is flowing into the retrofitting homes' U value. If net change is negative, then houses becoming less likely to retrofit. Present In 1 View: Used By
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HeatPumpModel_v31 | #235 C |
No Turnover Switch (dmnl ) = 0 Description: Switch for having no turnover in housing stock-- i.e., no housing demolitions or constructions. Present In 1 View: Used By
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HeatPumpModel_v31 | #237 C |
Noise Correlation Time 1 (Year) = 4 Description: The correlation time constant for Pink Noise. Present In 1 View: Used By
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HeatPumpModel_v31 | #240 C |
Noise Standard Deviation 1 (Dimensionless) = 0 Description: The standard deviation of the pink noise process. Present In 1 View: Used By
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HeatPumpModel_v31 | #243 C |
Noise Start Time 1 (Year) = 5 Description: Start time for the random input. Present In 1 View: Used By
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HeatPumpModel_v31 | #245 A,T |
Oil COP TABLE (dmnl) Oil COP TABLE([(2020,0)-(2050,1)],(2020,0.835),(2030,0.84),(2050,0.84)) ![]() Description: Efficiency of oil systems over time. Taken as the average of projected efficiency for reference distillate boilers and furnaces, from MassDEP's Energy Pathways for Deep Decarbonization Report (pg. 97): https://www.mass.gov/doc/energy-pathways-for-deep-decarbonization-report/download Present In 1 View: Used By
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HeatPumpModel_v31 | #246 A |
Optimal Cooling Cost (Dollar / (Year * House)) Optimal Cooling Cost[Cohort,Heating and Cooling System,Retrofitting Status] = Expected Cooling Energy Price* Optimal Cooling Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status] Description: The average cost of cooling, if homes have the optimal U value. Present In 1 View: Used By
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HeatPumpModel_v31 | #247 C |
Optimal Cooling Energy Use (kBTU / (Year * House)) Optimal Cooling Energy Use[Cohort,Heating and Cooling System,Retrofitting Status] = Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System]* Average Area[ Cohort, Retrofitting Status]* Cooling Degree Days/ Cooling System Efficiency[ Heating and Cooling System] Optimal Cooling Energy Use[Cohort,No AC Cooling,Retrofitting Status] = 0 Description: The energy used for cooling, for the average household, if U is optimal. Calculated by setting efficiency times energy use equal to total cooling temperature differential(CDD), multiplied by optimal U, and solving for energy use. Present In 1 View: Used By
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HeatPumpModel_v31 | #248 A |
Optimal Energy Cost (Dollar / (Year * House)) Optimal Energy Cost[Cohort,Heating and Cooling System,Retrofitting Status] = Optimal Cooling Cost[ Cohort, Heating and Cooling System, Retrofitting Status]+ Optimal Heating Cost[ Cohort, Heating and Cooling System, Retrofitting Status] Description: Total energy cost if optimal U value is achieved. Present In 2 Views: Used By
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HeatPumpModel_v31 | #249 A |
Optimal Energy Use (kBTU / (House * Year)) Optimal Energy Use[Cohort,Heating and Cooling System,Retrofitting Status] = Optimal Cooling Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status]+ Optimal Heating Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status] Description: Average energy use to heat and cool per house if U is optimal. Present In 1 View: Used By |
HeatPumpModel_v31 | #250 A |
Optimal Heating Cost (Dollar / (Year * House)) Optimal Heating Cost[Cohort,Heating and Cooling System,Retrofitting Status] = Expected Heating Energy Price[ Heating and Cooling System]* Optimal Heating Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status] Description: Average heating cost if U value is optimal. Present In 1 View: Used By
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HeatPumpModel_v31 | #251 A |
Optimal Heating Energy Use (kBTU / (House * Year)) Optimal Heating Energy Use[Cohort,Heating and Cooling System,Retrofitting Status] = Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System]* Average Area[ Cohort, Retrofitting Status]* Heating Degree Days/ Heating System Efficiency[ Heating and Cooling System] Description: The energy used for heating, for the average household, if U is optimal. Calculated by setting efficiency times energy use equal to total heating temperature differential, multiplied by optimal U, and solving for energy use. Present In 1 View: Used By
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HeatPumpModel_v31 | #252 A |
Optimal U Across All Housing (kBTU / (sf * F * Year)) = SUM( Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort!, Heating and Cooling System!]* Housing[ Cohort!, Heating and Cooling System!, Retrofitting Status!]/ Total Housing Stock) Description: The average optimal U value across all cohorts and all energy sources. Weigh optimal U by share of housing so that houses which haven't been built yet don't factor into the average. Present In 1 View: Used By |
HeatPumpModel_v31 | #255 A |
Optimal U Value for Existing Homes (kBTU / (sf * F * Year)) Optimal U Value for Existing Homes[Cohort,Heating and Cooling System] = IF THEN ELSE( U Value at Which EEHIC Cap Binds[ Cohort, Heating and Cooling System]< Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System], Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System],IF THEN ELSE( Lifetime Marginal Cost Reductions from Retrofitting[ Cohort, Heating and Cooling System]> Marginal Cost at Binding U Value without EEHIC[ Cohort, Heating and Cooling System], Optimal U Value with No EEHIC Proportional Subsidy[ Cohort, Heating and Cooling System], U Value at Which EEHIC Cap Binds[ Cohort, Heating and Cooling System])) Description: This is the optimal value at which homes will retrofit to. This is the value at which the marginal costs of retrofitting equal the marginal benefits.This strange formulation comes from the fact that there is a discontinuity in the marginal cost curve. The intuition can be seen in this graph: https://www.desmos.com/calculator/4esbngkovt. In the graph, X is the U value to which to retrofit and y is the marginal benefit or cost, and the curved line is the marginal cost curve and the horizontal is the marginal benefit. Y, the marginal benefit, can be adjusted. I set reference marginal cost and reference U to 1 for clarity in this graph.Because the Energy Efficiency Home Improvement Credit takes of 30% of the retrofit cost up to $1200, there is a U value (x_cap in the graph) at which, below it, marginal costs benefit from the EEHIC's 30% subsidy (the red line in the graph). After that, there is no such 30% subsidy, and the marginal cost curve is shifted up (blue line in the graph). What then is the optimal U? The first if then else statement captures the fact that if the marginal cost curve with the 30% subsidy intersects the marginal benefit line, then homes just retrofit to that point. The EEHIC cap is not binding. If the cap is binding, then the second if then else statement captures the fact that if the marginal benefit is still greater than the marginal costs after the cap in EEHIC -- that is, it's still worth to retrofit even without a 30% subsidy-- then homes retrofit to the point where the higher MC curve intersects the marginal benefit. If this is not true -- if the marginal cost at the discontinuity jumps above the marginal benefit-- then retrofitting beyond the discontinuity means marginal costs are greater than marginal benefits, and so they'll retrofit to the discontinuity. Present In 1 View: Used By
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HeatPumpModel_v31 | #256 A |
Optimal U Value with No EEHIC Proportional Subsidy (kBTU / (sf * F * Year)) Optimal U Value with No EEHIC Proportional Subsidy[Cohort,Heating and Cooling System] = Reference U Value*( Expected Reference Marginal Cost*(1- Expected MassSave Proportional Subsidy Rate for Retrofits)/ Lifetime Marginal Cost Reductions from Retrofitting[ Cohort, Heating and Cooling System])^(1/ Sensitivity of Marginal Cost to U Value) Description: Optimal U value if there is no proportional subsidy from the EEHIC at all. Present In 1 View: Used By
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HeatPumpModel_v31 | #257 A |
Peak Cooling Load on Grid (kWH / Day) = SUM( Peak Load from Heat Pumps on Hottest Days per Group[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: Annual load from heat pumps providing heating on the coldest day, across all groups. Present In 1 View: Used By |
HeatPumpModel_v31 | #258 A |
Peak Heating Load on Grid (kWH / Day) = SUM( Peak Load from Heat Pumps on Coldest Days per Group[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: Annual load from heat pumps providing heating on the coldest days, across all groups. Present In 1 View: Used By |
HeatPumpModel_v31 | #259 C |
Peak Load from Heat Pumps on Coldest Days per Group (kWH / Day) Peak Load from Heat Pumps on Coldest Days per Group[Cohort,Heat Pump Heating and Cooling,Retrofitting Status] = Housing[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status]* U Value by Grouping[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status]* Average Area[ Cohort, Retrofitting Status]* HDD on Coldest Day/ Heat Pump COP on Coldest Days/( kBTU per kWH* Days per Year) Peak Load from Heat Pumps on Coldest Days per Group[Cohort,Fossil Fuel Heating,Retrofitting Status] = 0 Description: The load that houses with heat pumps will put on the grid due to providing heating on the coldest day of the year, when heat pumps are less efficient and per cohort and retrofit status. Present In 1 View: Used By
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HeatPumpModel_v31 | #260 C |
Peak Load from Heat Pumps on Hottest Days per Group (kWH / Day) Peak Load from Heat Pumps on Hottest Days per Group[Cohort,Heating and Cooling System,Retrofitting Status] = Housing[ Cohort, Heating and Cooling System, Retrofitting Status]* U Value by Grouping[ Cohort, Heating and Cooling System, Retrofitting Status]* Average Area[ Cohort, Retrofitting Status]* CDD on Coldest Day/ Cooling System Efficiency[ Heating and Cooling System]/( kBTU per kWH* Days per Year) Peak Load from Heat Pumps on Hottest Days per Group[Cohort,No AC Cooling,Retrofitting Status] = 0 Description: The load that houses with heat pumps will put on the grid due to providing heating on the coldest day of the year, per year and per cohort and retrofit status. Present In 1 View: Used By
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HeatPumpModel_v31 | #261 C |
Peak Load from Non Heating or Cooling Sources (kWH / Day ) = 18344.8*1000*0.461799 Description: The peak load coming from non-heating sources, like other household uses, commercial uses, industrial uses, etc. Approximated as the average peak load in September, October, April, and May of 2022 and 2023 from New England ISO data, since there is little heating or cooling demand in those swing months. We multiply by 0.46 as Massachusetts has 46% of New England's population and we assume demand is proportional to population.Data source: https://www.iso-ne.com/isoexpress/web/reports/load-and-demand/-/tree/net-ener-peak-load Present In 1 View: Used By |
HeatPumpModel_v31 | #262 A |
Perceived Cost of Not Retrofitting (Dollar / (House * Year)) Perceived Cost of Not Retrofitting[Cohort,Heating and Cooling System] = (1- Weight on Upfront Cost)* Total Cost of Ownership of Average Home[ Cohort, Heating and Cooling System] Description: Homeowners' perceived cost (or negation of the utility) for not retrofitting their home further, taking into homeowners weighupfront retrofit costs higher. Present In 1 View: Used By
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HeatPumpModel_v31 | #263 A |
Perceived Cost of Retrofitting (Dollar / (House * Year)) Perceived Cost of Retrofitting[Cohort,Heating and Cooling System] = (1- Weight on Upfront Cost)* Total Cost of Ownership of Retrofitted Homes[ Cohort, Heating and Cooling System]+ Weight on Upfront Cost* Amoritized Subsidized Retrofit Cost[ Cohort, Heating and Cooling System] Description: Homeowners' perceived costs (or negation of their utility) for retrofitting their home, taking into account higher costs have less utilty and homeowners weigh upfront retrofit costs higher. Present In 2 Views: Used By
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HeatPumpModel_v31 | #264 C |
Pounds per Ton (lb CO2 / tCO2) = 2204.6 Description: The number of pounds in a metric ton. Present In 1 View: Used By
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HeatPumpModel_v31 | #267 A |
Present Value of Operating Costs (Dollar / (House) ) Present Value of Operating Costs[Cohort,Heat Pump Heating and Cooling,Retrofitting Status,Heating and Cooling System] = Present Value of Cooling Operating Costs[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]+ Present Value of Heating Operating Costs[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System] Present Value of Operating Costs[Cohort,Fossil Fuel Heating,Retrofitting Status,Heating and Cooling System] = Present Value of Cooling Operating Costs[ Cohort, Fossil Fuel Heating, Retrofitting Status, Heating and Cooling System]+ Present Value of Heating Operating Costs[ Cohort, Fossil Fuel Heating, Retrofitting Status, Heating and Cooling System] Description: Operating costs of each heating and cooling technology, in the order: heat pump only, central AC, window AC (two units), no AC, gas, oil.For window AC and no AC, this is includes the cost of the lack of comfort these technologies have. That is, it includes the amount of money that users of those technologies would pay each month to use central AC or heat pumps instead due to window ACs' noise or both technologies' inability to properly cool homes.Rough data from:Heat pump and central ac: https://carbonswitch.com/heat-pump-costs/Window AC ( 70/year): https://applianceanalysts.com/window-ac-running-costs/Gas: https://homeguide.com/costs/gas-furnace-pricesOil: https://homeguide.com/costs/oil-furnace-cost Present In 1 View: Used By
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HeatPumpModel_v31 | #268 C |
Present Value Replacement Cost (Dollar / House) Present Value Replacement Cost[Heating and Cooling System] = Cost of Cooling System Replacement[ Heating and Cooling System]/( Average Lifetime of Cooling Technology[ Heating and Cooling System]* Discount Rate)+ Cost of Heating System Replacement[ Heating and Cooling System]/( Average Lifetime of Heating Technology[ Heating and Cooling System]* Discount Rate) Present Value Replacement Cost[Heat Pump Heating and Cooling] = Cost of Cooling System Replacement[ Heat Pump Heating and Cooling]/( Average Lifetime of Cooling Technology[ Heat Pump Heating and Cooling]* Discount Rate) Present Value Replacement Cost[No AC Cooling] = 0 Description: Present value of replacement costs of both Heating and Cooling System given continuous discounting and where systems have a constant hazard rate of failure. On average, 1/L of the systems will break every year, because we assume failure rate is constant and where L is the lifetime of the system. Therefore, the average home will incur an average cost of R/L (R is replacement or upfront cost) every year. We assume that the household ignores the fact that after a finite time they'll leave the house or sell the system, because we assume they'll be able to sell the system at a price equal to the NPV at that time. Thus, selling the system or moving house does not change the NPV of the system when making the decision to switch.For houses that primarily use heat pumps, this formulation assures no double counting. Present In 1 View: Used By
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HeatPumpModel_v31 | #269 C |
Proportional EEHIC Subsidy Implementation Year for Retrofits (Year ) = 2023 Description: Time at which the proportional subsidy will take effect from the Energy Efficiency Home Improvement Credit.Source: https://www.nrdc.org/stories/consumer-guide-inflation-reduction-act Present In 2 Views: Used By
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HeatPumpModel_v31 | #270 C |
Proportional IRA Subsidy Switch for Heat Pumps (dmnl ) = 1 Description: Turns proportional subsidy's effect on retrofit cost on/off. Present In 2 Views: Used By
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HeatPumpModel_v31 | #274 C |
Pulse Time 1 (Year) = 5 Description: Time at which the pulse in Input occurs. Present In 1 View: Used By
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HeatPumpModel_v31 | #277 C |
Ramp End Time 1 (Year) = 1e+09 Description: End time for the ramp input. Present In 1 View: Used By
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HeatPumpModel_v31 | #280 C |
Ramp Start Time 1 (Year) = 5 Description: Start time for the ramp input. Present In 1 View: Used By
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HeatPumpModel_v31 | #282 C |
Reference Lifetime Cost of Heating and Cooling Systems (Dollar / House ) = 30000 Description: The reference value of lifetime heating and cooling combinations when people calculate affinity of each combo. Hand calibrated to roughly match heat pump sales in https://www.masssave.com/en/about/news-and-events/news/mass-save-sponsors-announce-record-number-of-heat-pump-installations-across-massachusetts Present In 1 View: Used By
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HeatPumpModel_v31 | #284 C |
Reference Retrofit Cost (Dollar / (House * Year) ) = 8740 Description: Perceived cost of home heating to which households compare the perceived cost of retrofitting to when deciding to retrofit.Taken from average retrofit cost in Less et al. (2021)'s dataset, shown on page 17: https://eta-publications.lbl.gov/sites/default/files/final_walker_-_the_cost_of_decarbonization_and_energy.pdf Present In 2 Views: Used By
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HeatPumpModel_v31 | #286 C |
Retrofit Delay (Year ) = 2 Description: Time to retrofit. Assumed to be on average six months. Present In 2 Views: Used By
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HeatPumpModel_v31 | #288 F,A |
Retrofitting (House * kBTU / (sf * F* Year) / Year) Retrofitting[Cohort,Heating and Cooling System] = MAX(0, Housing[ Cohort, Heating and Cooling System,Open to Retrofitting]*( U Value by Grouping[ Cohort, Heating and Cooling System,Open to Retrofitting]- Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System])/ Retrofit Delay) Description: Energy use retrofitted away. If positive, this means that energy use is being retrofitted away. Present In 1 View: Used By
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HeatPumpModel_v31 | #287 A |
Retrofitting Across Cohorts and Systems (House * kBTU / ( Year * Year * sf * F)) = SUM( Retrofitting[ Cohort!, Heating and Cooling System!]) Description: The total amount of retrofits across all cohorts and heating/cooling systems. Present In 1 View: Used By |
HeatPumpModel_v31 | #290 C |
Sensitivity of Affinity to Cost (dmnl ) = 10 Description: Sensitivity of affinity to each heating and cooling combination having higher cost. The higher this, the fewer houses will convert to more expensive combinations.Calculated by hand calibration-- value ensures that amount of heat pumps sold 2020 - 2024 begins at about 10K and goes to about 20K in 2024, in accordance with MassSave data from https://www.masssave.com/en/about/news-and-events/news/mass-save-sponsors-announce-record-number-of-heat-pump-installations-across-massachusetts Present In 1 View: Used By
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HeatPumpModel_v31 | #292 C |
Sensitivity of Retrofits to Cost (dmnl ) = 10 Description: Sensitivity of affinity (and fraction of houses retrofitting) to NPV of retrofitting. Present In 2 Views: Used By
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HeatPumpModel_v31 | #294 C |
Sine Amplitude 1 (Dimensionless) = 0 Description: Amplitude of sine wave in customer orders (fraction of mean). Present In 1 View: Used By
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HeatPumpModel_v31 | #297 C |
Sine Period 1 (Year) = 50 Description: Period of sine wave. Set initially to 50 weeks (1 year). Present In 1 View: Used By
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HeatPumpModel_v31 | #299 A |
Soft Costs of Retrofitting (Dollar / Home) = Average Income* Homeowner Hours Spent Retrofitting Description: The "hassle cost" of retrofitting a home, that is not due to economic costs but rather from the time and hassle spent on a homeowner retrofitting (such as having to move out). This is calculated as the opportunity cost of all the time spent retrofitting, using the average hourly income for MA SFH homeowners. Present In 1 View: Used By
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HeatPumpModel_v31 | #301 C |
Step Time 1 (Year) = 5 Description: Time for the step input. Present In 1 View: Used By
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HeatPumpModel_v31 | #303 A |
Subsidized Cost of Heat Pumps (Dollar / House) = MAX(0, Unsubsidized Cost of Heat Pumps- Expected Subsidy for Heat Pumps) Description: The upfront cost of heat pump once subsidies are taken into account. Present In 1 View: Used By
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HeatPumpModel_v31 | #305 C |
System Switching SWITCH (dmnl ) = 1 Description: Switch for allowing houses to switch heating and cooling systems. If 1, they can switch. Present In 1 View: Used By
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HeatPumpModel_v31 | #307 C |
Time to Decide to Retrofit (Year ) = 3 Description: Time to decide to retrofit. Present In 1 View: Used By
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HeatPumpModel_v31 | #310 A |
Total Area (sf) = SUM( Area[ Cohort!, Retrofitting Status!]) Description: The total area across all housing. Present In 1 View: Used By
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HeatPumpModel_v31 | #311 A |
Total Cooling Cost (Dollar / Year) = SUM( Average Cooling Cost[ Cohort!, Heating and Cooling System!, Retrofitting Status!]* Housing[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: The total amount of money spent on cooling homes, per year. Present In 1 View: Used By
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HeatPumpModel_v31 | #312 A |
Total Cooling Energy Use (kBTU/ Year) = SUM( Average Cooling Energy Use[ Cohort!, Heating and Cooling System!, Retrofitting Status!]* Housing[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: The total amount of energy spent on cooling homes. Present In 1 View: Used By
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HeatPumpModel_v31 | #313 A |
Total Cost of Ownership of Average Home (Dollar / (Year * House)) Total Cost of Ownership of Average Home[Cohort,Heating and Cooling System] = Average Energy Costs for Retrofitting Home[ Cohort, Heating and Cooling System] Description: Total cost of ownership of a house without any further retrofit costs, i.e., at current energy use. Equivalent to energy costs because no retrofit costs are incurred. Present In 2 Views: Used By
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HeatPumpModel_v31 | #314 A |
Total Cost of Ownership of Retrofitted Homes (Dollar / (House * Year)) Total Cost of Ownership of Retrofitted Homes[Cohort,Heating and Cooling System] = Amoritized Subsidized Retrofit Cost[ Cohort, Heating and Cooling System]+ Average Energy Costs if Retrofitted[ Cohort, Heating and Cooling System] Description: The total cost of ownership of owning a home that has been retrofitted to the optimal U. Present In 1 View: Used By
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HeatPumpModel_v31 | #315 A |
Total Energy Use (kBTU / Year) = SUM( Energy Use by Grouping[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: The total energy use for all homes in the model. Present In 1 View: Used By
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HeatPumpModel_v31 | #316 A |
Total Heat Pump Sales (House / Year) = SUM( Houses Switching Sources[ Cohort!, Heating and Cooling System!, Retrofitting Status!,Heat Pump Only]+ Houses Switching Sources[ Cohort!, Heating and Cooling System!, Retrofitting Status!,Heat Pump and Gas]+ Houses Switching Sources[ Cohort!, Heating and Cooling System!, Retrofitting Status!,Heat Pump and Oil]) Description: Number of houses buying heat pumps every year. Present In 3 Views: Used By
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HeatPumpModel_v31 | #317 A |
Total Heating Cost (Dollar / Year) = SUM( Average Heating Cost[ Cohort!, Heating and Cooling System!, Retrofitting Status!]* Housing[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: The total amount of money spent on heating homes. Present In 1 View: Used By
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HeatPumpModel_v31 | #318 A |
Total Heating Energy Use (kBTU/ Year) = SUM( Average Heating Energy Use[ Cohort!, Heating and Cooling System!, Retrofitting Status!]* Housing[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: The total amount of energy spent on heating per year. Present In 1 View: Used By
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HeatPumpModel_v31 | #319 A |
Total Housing Starts (House/ Year) = SUM( Housing Starts[ Cohort!, Heating and Cooling System!]) Description: The total housing starts across all cohorts and sources. Present In 1 View: Used By |
HeatPumpModel_v31 | #321 C |
Total Initial Homes (Houses ) = 20 Description: Total number of houses, including those retrofitting or not. Number taken from Census's list of households in MA in 2022: https://www.census.gov/quickfacts/fact/table/MA/PST045222 Present In 1 View: Used By |
HeatPumpModel_v31 | #322 C |
Total Initial Housing Starts (Houses / Year ) = 0.5 Description: Total number of houses that are built per year, across all systems. Present In 1 View: Used By
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HeatPumpModel_v31 | #323 A |
Total Present Value of Cost (Dollar / House) Total Present Value of Cost[Cohort,Heat Pump Heating and Cooling,Retrofitting Status,Heating and Cooling System] = Present Value of Operating Costs[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]+ Present Value Replacement Cost[ Heating and Cooling System]+ Cost of Bad Air Conditioning[ Heating and Cooling System] Total Present Value of Cost[Cohort,Fossil Fuel Heating,Retrofitting Status,Heating and Cooling System] = Present Value of Operating Costs[ Cohort, Fossil Fuel Heating, Retrofitting Status, Heating and Cooling System]+ Present Value Replacement Cost[ Heating and Cooling System]+ Cost of Bad Air Conditioning[ Heating and Cooling System] Description: Total net present value of each heating and cooling combination. Assume that for systems with fossil fuel backups, the backup system is used so sparingly that its operating costs are negligible. Present In 1 View: Used By
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HeatPumpModel_v31 | #327 L |
Total U Value (House * kBTU / (Year * F * sf) ) Total U Value[Cohort,Heating and Cooling System,Not Open to Retrofitting] = ∫((( Increase in U Value from Housing Starts[ Cohort, Heating and Cooling System]- Net U Value Change from Retrofitting Home Shifts[ Cohort, Heating and Cooling System])- U Value Loss from Demolition[ Cohort, Heating and Cooling System,Not Open to Retrofitting])+(SUM( U Value Shift from Source Switching[ Cohort, Heating and Cooling System!, Heating and Cooling System,Not Open to Retrofitting])))-(SUM( U Value Shift from Source Switching[ Cohort, Heating and Cooling System, Heating and Cooling System!,Not Open to Retrofitting])) dt + Initial U Value[ Cohort, Heating and Cooling System,Not Open to Retrofitting] Total U Value[Cohort,Heating and Cooling System,Open to Retrofitting] = ∫((( Net U Value Change from Retrofitting Home Shifts[ Cohort, Heating and Cooling System]- U Value Loss from Demolition[ Cohort, Heating and Cooling System,Open to Retrofitting])+(SUM( U Value Shift from Source Switching[ Cohort, Heating and Cooling System!, Heating and Cooling System,Open to Retrofitting])))-(SUM( U Value Shift from Source Switching[ Cohort, Heating and Cooling System, Heating and Cooling System!,Open to Retrofitting])))- Retrofitting[ Cohort, Heating and Cooling System] dt + Initial U Value[ Cohort, Heating and Cooling System,Open to Retrofitting] Description: Total U-value of homes. Note that that is not a physical quantity, as the U-value of individual homes is not additive. Present In 2 Views: Used By
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HeatPumpModel_v31 | #324 A |
Total U Value Across All Groupings (House * kBTU / (sf * F * Year)) = SUM( Total U Value by Cohort[ Cohort!]) Description: Total U value across all groupings of households. Present In 1 View: Used By
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HeatPumpModel_v31 | #325 A |
Total U Value by Cohort (House * kBTU / (sf * F * Year)) Total U Value by Cohort[Cohort] = SUM( Total U Value[ Cohort, Heating and Cooling System!, Retrofitting Status!]) Description: Total U Value within each cohort. Present In 1 View: Used By
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HeatPumpModel_v31 | #326 A |
Total U Value by Heating and Cooling System (House * kBTU / (sf * F * Year)) Total U Value by Heating and Cooling System[Heating and Cooling System] = SUM( Total U Value[ Cohort!, Heating and Cooling System, Retrofitting Status!]) Description: The total U value by heating and cooling system Present In 1 View: Used By
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HeatPumpModel_v31 | #328 A |
U Value at Which EEHIC Cap Binds (kBTU / (F * sf * Year)) U Value at Which EEHIC Cap Binds[Cohort,Heating and Cooling System] = IF THEN ELSE( U Value of Retrofitting Homes[ Cohort, Heating and Cooling System]>1e-06:AND: Expected EEHIC Proportional Subsidy Rate for Retrofits>1e-06, Reference U Value*(( Sensitivity of Marginal Cost to U Value-1)*((( Expected EEHIC Maximum Subsidy for Retrofits- Expected EEHIC Proportional Subsidy Rate for Retrofits* Expected Fixed Cost)/( U Value of Retrofitting Homes[ Cohort, Heating and Cooling System]* Expected EEHIC Proportional Subsidy Rate for Retrofits* Expected Reference Marginal Cost* Average Area[ Cohort,Open to Retrofitting]))-(1/(- Sensitivity of Marginal Cost to U Value+1))*(( U Value of Retrofitting Homes[ Cohort, Heating and Cooling System]/ Reference U Value)^(- Sensitivity of Marginal Cost to U Value+1)))^(1/(- Sensitivity of Marginal Cost to U Value+1))),0) Description: This the U value at which the maximum subsidy from the Energy Efficiency Home Improvement Credit (from the IRA_ will occur. Because the EEHIC pays for 30% of a retrofit's costs up to $1200, once a home will retrofit beyond this point, IT will no longer receive an additional subsidy. Thus, this is the U value at which a discontinuity in the marginal cost curve will occur-- before it, a 30% subsidy on the marginal cost will cocur, and then afterwards were will be no proportional subsidy.Formulation is derived by setting 30% of the retrofit cost from current U value to this U value equal to the maximum subsidy, and then solving for this U value. The retrofit cost from the current U to this U is equal to the definite integral from the current U to this U of the marginal cost, which is equal to Reference MC * (Reference U / U) ^sensitivity Present In 1 View: Used By
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HeatPumpModel_v31 | #329 A |
U Value by Grouping (kBTU / (sf * F * Year)) U Value by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = IF THEN ELSE( Housing[ Cohort, Heating and Cooling System, Retrofitting Status]>1e-12, Total U Value[ Cohort, Heating and Cooling System, Retrofitting Status]/ Housing[ Cohort, Heating and Cooling System, Retrofitting Status],0) Description: The average U value in each home by cohort, heating/cooling system, etc. Present In 8 Views:
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HeatPumpModel_v31 | #330 A |
U Value Increase from Source Switching (kBTU*House/(Year*Year*sf*F)) U Value Increase from Source Switching[Heating and Cooling System] = SUM( U Value Shift from Source Switching[ Cohort!, Heating and Cooling System!, Heating and Cooling System, Retrofitting Status!]) Description: The increase in total U value for each Heating and Cooling System from houses switching their heating and cooling systems. Present In 1 View: Used By
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HeatPumpModel_v31 | #331 F,A |
U Value Loss from Demolition (House * kBTU / (Year * F * sf) / Year) U Value Loss from Demolition[Cohort,Heating and Cooling System,Retrofitting Status] = U Value by Grouping[ Cohort, Heating and Cooling System, Retrofitting Status]* Demolitions[ Cohort, Heating and Cooling System, Retrofitting Status] Description: Homes' total energy use decrease from those homes being demolished. Present In 1 View: Used By
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HeatPumpModel_v31 | #333 A |
U Value of Retrofitting Homes (kBTU / (sf * Year * F)) U Value of Retrofitting Homes[Cohort,Heating and Cooling System] = U Value by Grouping[ Cohort, Heating and Cooling System,Open to Retrofitting] Description: The Average U Value of each home that is open to retrofitting. Present In 1 View: Used By
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HeatPumpModel_v31 | #334 L |
U Value Retrofitted Away (House * kBTU / (Year * F * sf)) = ∫SUM( Retrofitting[ Cohort!, Heating and Cooling System!]) dt + 0.0 Description: Total amount of U value that has been retrofitted away. Present In 1 View: Used By |
HeatPumpModel_v31 | #335 F,A |
U Value Shift from Source Switching (House * kBTU / (Year * F * sf) / Year) U Value Shift from Source Switching[Cohort,Heat Pump Heating and Cooling,Heating and Cooling System,Retrofitting Status] = Houses Switching Sources[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]* U Value by Grouping[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status] U Value Shift from Source Switching[Cohort,Fossil Fuel Heating,Heating and Cooling System,Retrofitting Status] = Houses Switching Sources[ Cohort, Fossil Fuel Heating, Retrofitting Status, Heating and Cooling System]* U Value by Grouping[ Cohort, Fossil Fuel Heating, Retrofitting Status] Description: The shift in total U value coming from switching sources. Present In 2 Views: Used By
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HeatPumpModel_v31 | #336 A,T |
Unsubsidized Cost of Heat Pump Over Time TABLE (Dollar/ House) Unsubsidized Cost of Heat Pump Over Time TABLE([(2020,5000)-(2050,10000)],(2020,22000),(2030,20483.7 ),(2040,18967.3),(2050,17448.6)) ![]() Description: The cost of installing and buying a heat pump over time. Initial value taken from: https://www.masssave.com/en/residential/rebates-and-incentives/heating-and-cooling/heat-pumps/air-source-heat-pumps, and then assume that ratio of future prices to initial is the same as average of reference and ductless heat pumps in MassDEP's Energy Pathways Report (pg. 97): https://www.mass.gov/doc/energy-pathways-for-deep-decarbonization-report/download. (That is, I took the ratio of the initial price to the initial price in that report, then I multiplied that ratio times all projections of future heat pump prices). I was unable to use the MassDEP report's prices directly, because they are based on national estimates from NREL, and MA is typically a more expensive state. In particular, the MassDEP projections say that heat pumps cost only $9K, but MassSave subsidy is $10K!Assumes rates of change are linear between projected points. Present In 1 View: Used By
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HeatPumpModel_v31 | #337 A |
Unsubsidized Cost of Heat Pumps (Dollar / House) = Unsubsidized Cost of Heat Pump Over Time TABLE( Time) Description: The unsubsidized cost of heat pumps, instantiated at each time. Present In 3 Views: Used By
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HeatPumpModel_v31 | #340 C |
Weight on Upfront Cost (dmnl ) = 0.5 Description: How much homeowners weigh upfront (amoritized) costs of retrofits as opposed to the total cost of ownership due to being more perceptive of short-term costs. Present In 2 Views: Used By
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HeatPumpModel_v31 | #342 A |
White Noise 1 (Dimensionless) = Noise Standard Deviation 1*((24* Noise Correlation Time 1/ TIME STEP)^0.5*(RANDOM 0 1()-0.5)) Description: White noise input to the pink noise process. Present In 1 View: Used By
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Top | (Type) Level (14 Variables) | ||
Variable Name And Description | .housingagingchain v8 | #21 L |
Area (sf) Area[Cohort,Not Open to Retrofitting] = ∫( Area of New Homes[ Cohort]- Net Area Shift due to Retrofit Status Switching[ Cohort])- Area Removal[ Cohort,Not Open to Retrofitting] dt + Initial Area[ Cohort]*(1.0- Fraction Retrofitting by Cohort[ Cohort]) Area[Preexisting Cohorts,Not Open to Retrofitting] = ∫(- Net Area Shift due to Retrofit Status Switching[ Preexisting Cohorts])- Area Removal[ Preexisting Cohorts,Not Open to Retrofitting] dt + Initial Area[ Preexisting Cohorts]*(1.0- Fraction Retrofitting by Cohort[ Preexisting Cohorts]) Area[Cohort,Open to Retrofitting] = ∫ Net Area Shift due to Retrofit Status Switching[ Cohort]- Area Removal[ Cohort,Open to Retrofitting] dt + Initial Area[ Cohort]* Fraction Retrofitting by Cohort[ Cohort] Area[Preexisting Cohorts,Open to Retrofitting] = ∫ Net Area Shift due to Retrofit Status Switching[ Preexisting Cohorts]- Area Removal[ Preexisting Cohorts,Open to Retrofitting] dt + Initial Area[ Preexisting Cohorts]* Fraction Retrofitting by Cohort[ Preexisting Cohorts] Description: "Total" Area for each cohort of housing . This is determined by the inflows and outflows into and out of each cohort, multiplied by the average energy use intensity in each cohort. Present In 2 Views: Used By
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.housingagingchain v8 | #24 L |
Autocorrelated Noise (Dimensionless) = ∫ Change in AC Noise dt + 0.0 Description: First-order autocorrelated noise. Provides a realistic noise input to models in which the next random shock depends in part on the previous shocks. The user can specify the correlation time. The mean is 0 and the standard deviation is specifiedby the user. Present In 1 View: Used By
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.housingagingchain v8 | #22 L |
Autocorrelated Noise 0 (Dimensionless) = ∫ Change in AC Noise 0 dt + 0.0 Description: First-order autocorrelated noise. Provides a realistic noise input to models in which the next random shock depends in part on the previous shocks. The user can specify the correlation time. The mean is 0 and the standard deviation is specifiedby the user. Present In 1 View: Used By
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HeatPumpModel_v31 | #23 L |
Autocorrelated Noise 1 (Dimensionless) = ∫ Change in AC Noise 1 dt + 0.0 Description: First-order autocorrelated noise. Provides a realistic noise input to models in which the next random shock depends in part on the previous shocks. The user can specify the correlation time. The mean is 0 and the standard deviation is specifiedby the user. Present In 1 View: Used By
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.housingagingchain v18 | #65 L |
Code U (kBTU / (sf * Year * F)) = ∫- Decrease in Code U dt + Initial Code U Value Description: U of house that is built to standard code.For initial paper, assume that it's constant at a level in between average U and optimal U. Present In 2 Views: Used By
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HeatPumpModel_v31 | #77 L |
Cumulative Emissions (tCO2) = ∫ Emissions dt + 0.0 Description: The total amount of CO2 emitted into the atmosphere during the course of the model's run. Present In 1 View: Used By |
HeatPumpModel_v31 | #78 L |
Cumulative Federal Subsidy (Dollar) = ∫ Annual Federal Subsidies dt + 0.0 Description: The amount of money the federal government spends on subsidies for heat pumps and retrofits since the beginning of the model's run. Present In 1 View: Used By |
HeatPumpModel_v31 | #79 L |
Cumulative MA Subsidy (Dollar) = ∫ Annual MA Subsidies dt + 0.0 Description: The amount of subsidies that the Massachusetts state government has given out for heat pumps and retrofits since the beginning of the model's run. Present In 1 View: Used By |
HeatPumpModel_v31 | #80 L |
Cumulative Subsidies for Heat Pumps (Dollar) = ∫ Annual Heat Pump Subsidy dt + 0.0 Description: The total amount of dollars spent on subsidizing heat pumps throughout the model's run. Present In 1 View: Used By
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HeatPumpModel_v31 | #82 L |
Cumulative Subsidy for Retrofits (Dollar) = ∫ Annual Retrofit Subsidy dt + 0.0 Description: The total amount spent on retrofits since the beginning of the model's run. Present In 1 View: Used By
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HeatPumpModel_v31 | #174 L |
Housing (House) Housing[Cohort,Heating and Cooling System,Not Open to Retrofitting] = ∫((( Housing Starts[ Cohort, Heating and Cooling System]- Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System])- Demolitions[ Cohort, Heating and Cooling System,Not Open to Retrofitting])+(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System!,Not Open to Retrofitting, Heating and Cooling System])))-(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System,Not Open to Retrofitting, Heating and Cooling System!])) dt + Initial Homes Not Retrofitting[ Cohort, Heating and Cooling System] Housing[Cohort,Heating and Cooling System,Open to Retrofitting] = ∫(( Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System]- Demolitions[ Cohort, Heating and Cooling System,Open to Retrofitting])+(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System!,Open to Retrofitting, Heating and Cooling System])))-(SUM( Houses Switching Sources[ Cohort, Heating and Cooling System,Open to Retrofitting, Heating and Cooling System!])) dt + Initial Homes Retrofitting[ Cohort, Heating and Cooling System] Description: Houses, divided into those open to retrofitting (i.e., they will retrofit if their U is not equal to optimal) and those who are not. Present In 7 Views:
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.housingagingchain v8 | #309 L |
Total Age (House * Year) Total Age[Cohort,Not Open to Retrofitting] = ∫( Aging[ Cohort,Not Open to Retrofitting]- Net Age Shift from Retrofitting Status Shifting[ Cohort])- Age Removal[ Cohort,Not Open to Retrofitting] dt + Initial Age[ Cohort,Not Open to Retrofitting] Total Age[Cohort,Open to Retrofitting] = ∫( Net Age Shift from Retrofitting Status Shifting[ Cohort]+ Aging[ Cohort,Open to Retrofitting])- Age Removal[ Cohort,Open to Retrofitting] dt + Initial Age[ Cohort,Open to Retrofitting] Description: "Total" age for each cohort of housing. Present In 2 Views: Used By
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HeatPumpModel_v31 | #327 L |
Total U Value (House * kBTU / (Year * F * sf) ) Total U Value[Cohort,Heating and Cooling System,Not Open to Retrofitting] = ∫((( Increase in U Value from Housing Starts[ Cohort, Heating and Cooling System]- Net U Value Change from Retrofitting Home Shifts[ Cohort, Heating and Cooling System])- U Value Loss from Demolition[ Cohort, Heating and Cooling System,Not Open to Retrofitting])+(SUM( U Value Shift from Source Switching[ Cohort, Heating and Cooling System!, Heating and Cooling System,Not Open to Retrofitting])))-(SUM( U Value Shift from Source Switching[ Cohort, Heating and Cooling System, Heating and Cooling System!,Not Open to Retrofitting])) dt + Initial U Value[ Cohort, Heating and Cooling System,Not Open to Retrofitting] Total U Value[Cohort,Heating and Cooling System,Open to Retrofitting] = ∫((( Net U Value Change from Retrofitting Home Shifts[ Cohort, Heating and Cooling System]- U Value Loss from Demolition[ Cohort, Heating and Cooling System,Open to Retrofitting])+(SUM( U Value Shift from Source Switching[ Cohort, Heating and Cooling System!, Heating and Cooling System,Open to Retrofitting])))-(SUM( U Value Shift from Source Switching[ Cohort, Heating and Cooling System, Heating and Cooling System!,Open to Retrofitting])))- Retrofitting[ Cohort, Heating and Cooling System] dt + Initial U Value[ Cohort, Heating and Cooling System,Open to Retrofitting] Description: Total U-value of homes. Note that that is not a physical quantity, as the U-value of individual homes is not additive. Present In 2 Views: Used By
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HeatPumpModel_v31 | #334 L |
U Value Retrofitted Away (House * kBTU / (Year * F * sf)) = ∫SUM( Retrofitting[ Cohort!, Heating and Cooling System!]) dt + 0.0 Description: Total amount of U value that has been retrofitted away. Present In 1 View: Used By |
Top | (Type) Smooth (13 Variables) (13/173) | ||
Variable Name And Description | HeatPumpModel_v31 | #111 SM,A |
Expected Cooling Energy Price (Dollar / kBTU) = SMOOTH3( Cooling Energy Price, Delay in Forming Expectations of Energy Price) Description: Energy price for one kBTU of cooling used to calculate optimal U value. Third order exponential smoothing of cooling energy price. Present In 4 Views: Used By
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HeatPumpModel_v31 | #112 SM,A |
Expected EEHIC Maximum Subsidy for Retrofits (Dollar / House) = SMOOTH3( Implemented EEHIC Maximum Subsidy for Retrofits, Delay in Changing Subsidy Expectations) Description: Expected maximum proportional subsidy that lowers subsidized retrofit costs from the Energy Efficiency Home Improvement Credit, taking into account information delays. Present In 2 Views: Used By
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HeatPumpModel_v31 | #113 SM,A |
Expected EEHIC Proportional Subsidy Rate for Retrofits (dmnl) = SMOOTH3( Implemented EEHIC Subsidy Proportional Rate for Retrofits, Delay in Changing Subsidy Expectations)* Proportional Subsidy Switch for Retrofits Description: Expected proportional subsidy rate that lowers subsidized retrofit costs, taking into account information delays. Present In 2 Views: Used By
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.housingagingchain v15 | #114 SM,A |
Expected Fixed Cost (Dollar / House) = SMOOTH( Fixed Cost, Delay in Forming Expectations of Retrofit Costs) Description: Fixed cost used in calculating optimal EUI. Third order exponential smoothing of fixed cost. Present In 2 Views: Used By
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.housingagingchain v15 | #115 SM,A |
Expected Heating Energy Price (Dollar / kBTU) Expected Heating Energy Price[Heating and Cooling System] = SMOOTH3( Heating Energy Price[ Heating and Cooling System], Delay in Forming Expectations of Energy Price) Description: Energy price for one kBTU of heating used to calculate optimal U value. Third order exponential smoothing of heating energy price. Present In 6 Views:
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HeatPumpModel_v31 | #116 SM,A |
Expected IRA Proportional Subsidy Rate for Heat Pumps (dmnl) = SMOOTH3( IRA Implemented Subsidy Proportional Rate for Heat Pumps, Delay in Changing Subsidy Expectations)* Proportional IRA Subsidy Switch for Heat Pumps Description: Expected proportional subsidy rate that lowers subsidized retrofit costs, taking into account information delays. Present In 1 View: Used By
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.housingagingchain v15 | #118 SM,A |
Expected MassSave Maximum Subsidy for Retrofits (Dollar / House) = SMOOTH3( Implemented MassSave Maximum Subsidy for Retrofits, Delay in Changing Subsidy Expectations) Description: Expected maximum proportional subsidy that lowers subsidized retrofit costs, taking into account information delays. Present In 1 View: Used By
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.housingagingchain v15 | #119 SM,A |
Expected MassSave Proportional Subsidy Rate for Retrofits (dmnl) = SMOOTH3( Implemented MassSave Subsidy Proportional Rate for Retrofits, Delay in Changing Subsidy Expectations)* Proportional Subsidy Switch for Retrofits Description: Expected proportional subsidy rate that lowers subsidized retrofit costs, taking into account information delays. Present In 4 Views:
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HeatPumpModel_v31 | #120 SM,A |
Expected Maximum IRA Proportional Subsidy for Heat Pumps (Dollar / House) = SMOOTH3( Implemented IRA Maximum Proportional Subsidy for Heat Pumps, Delay in Changing Subsidy Expectations) Description: Expected maximum proportional subsidy that lowers subsidized retrofit costs, taking into account information delays. Present In 1 View: Used By
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.housingagingchain v15 | #121 SM,A |
Expected Reference Marginal Cost ((Dollar / sf) / (kBTU / (sf * Year * F))) = SMOOTH( Reference Marginal Cost, Delay in Forming Expectations of Retrofit Costs) Description: Reference marginal cost used in calculating optimal U value. Third order exponential smoothing of reference marginal cost. Present In 4 Views:
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HeatPumpModel_v31 | #148 SM,A |
HOMES Expected Higher Subsidy (Dollar / House) = SMOOTH3( HOMES Implemented High Subsidy, Delay in Changing Subsidy Expectations) Description: Expected lump sum subsidy that lowers subsidized retrofit costs, taking into account information delays. This is for homes that save more than 35% of energy Present In 1 View: Used By
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.housingagingchain v15 | #149 SM,A |
HOMES Expected Lower Lump Sum Subsidy (Dollar / House) = SMOOTH3( HOMES Implemented Lower Subsidy, Delay in Changing Subsidy Expectations) Description: Expected lump sum subsidy that lowers subsidized retrofit costs, taking into account information delays. Present In 3 Views: Used By
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HeatPumpModel_v31 | #217 SM,A |
MassSave Expected Lump Sum Subsidy for Heat Pumps (Dollar / House) = SMOOTH3( MassSave Implemented Lump Sum Subsidy for Heat Pumps, Delay in Changing Subsidy Expectations) Description: Expected lump sum subsidy that lowers subsidized retrofit costs from the state, taking into account information delays. Present In 1 View: Used By
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Top | (Type) Delay (0 Variables) (0/0) | ||
Variable Name And Description |
Top | (Type) Level Initial (7 Variables) | ||
Variable Name And Description | HeatPumpModel_v31 | #132 LI,A |
Fraction Retrofitting by Cohort (dmnl) Fraction Retrofitting by Cohort[Cohort] = ZIDZ(SUM( Housing[ Cohort, Heating and Cooling System!,Open to Retrofitting]),SUM( Housing[ Cohort, Heating and Cooling System!, Retrofitting Status!])) Description: Fraction that are retrofitting, only by cohort. Present In 2 Views: Used By
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.housingagingchain v8 | #184 LI,A |
Initial Age (House * Year) Initial Age[Cohort,Retrofitting Status] = INITIAL(0) Initial Age[Preexisting Cohorts,Retrofitting Status] = ( Cohort Duration*(ELMCOUNT( Preexisting Cohorts)- Preexisting Cohorts+1))* Housing by Cohort and Retrofitting Status[ Preexisting Cohorts, Retrofitting Status] Description: The initial age of each cohort. For cohorts built during the model's run, this is zero. For each pre-existing cohort, this is the length of each cohort multiplied by how many cohorts separate the pre-existing cohort from the beginning of the model. For example, if there are two pre-existing cohorts each with length 5, the first cohort at the beginning of the run is already ten years old on average. Present In 1 View: Used By
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HeatPumpModel_v31 | #185 LI,C |
Initial Area (sf) Initial Area[Cohort] = 10 Description: Total initial area across all houses, by cohort (assuming that average area is the same across systems). Present In 1 View: Used By
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HeatPumpModel_v31 | #188 LI,C |
Initial Code U Value (kBTU / (sf * F * Year)) = 0.003 Description: The initial value of code U. For initial paper, assume that this is between initial optimal U (nearly 0) and average U (0.006). Present In 1 View: Used By
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.housingagingchain v5 testing | #192 LI,A |
Initial Homes Not Retrofitting (House) Initial Homes Not Retrofitting[Cohort,Heating and Cooling System] = 0 Initial Homes Not Retrofitting[Preexisting Cohorts,Heating and Cooling System] = (1- Initial Fraction of Homes Retrofitting)* Initial Housing[ Preexisting Cohorts, Heating and Cooling System] Description: Initial homes not open to retrofitting. Present In 1 View: Used By
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.housingagingchain v5 testing | #193 LI,A |
Initial Homes Retrofitting (Houses) Initial Homes Retrofitting[Cohort,Heating and Cooling System] = 0 Initial Homes Retrofitting[Preexisting Cohorts,Heating and Cooling System] = Initial Fraction of Homes Retrofitting* Initial Housing[ Preexisting Cohorts, Heating and Cooling System] Description: Homes that are open to retrofitting initially. Present In 1 View: Used By
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.housingagingchain v15 | #197 LI,A |
Initial U Value (House * kBTU / (Year * F * sf)) Initial U Value[Cohort,Heating and Cooling System,Retrofitting Status] = 0 Initial U Value[Preexisting Cohorts,Heating and Cooling System,Retrofitting Status] = Initial Average U Value[ Preexisting Cohorts]* Housing[ Preexisting Cohorts, Heating and Cooling System, Retrofitting Status] Description: Initial U value of cohorts; must be zero for cohorts not yet built. Present In 1 View: Used By
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Top | (Type) Initial (1 Variables) | ||
Variable Name And Description | .housingagingchain v8 | #184 LI,A |
Initial Age (House * Year) Initial Age[Cohort,Retrofitting Status] = INITIAL(0) Initial Age[Preexisting Cohorts,Retrofitting Status] = ( Cohort Duration*(ELMCOUNT( Preexisting Cohorts)- Preexisting Cohorts+1))* Housing by Cohort and Retrofitting Status[ Preexisting Cohorts, Retrofitting Status] Description: The initial age of each cohort. For cohorts built during the model's run, this is zero. For each pre-existing cohort, this is the length of each cohort multiplied by how many cohorts separate the pre-existing cohort from the beginning of the model. For example, if there are two pre-existing cohorts each with length 5, the first cohort at the beginning of the run is already ten years old on average. Present In 1 View: Used By
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Top | (Type) Constant (121 Variables) | ||
Variable Name And Description | .housingagingchain v8 | #9 C |
Aging per Year (Year / Year) = 1 Description: Number of years a house ages per year (which must be one), used to ensure dimensional consistency and make the model clearer Present In 1 View: Used By
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HeatPumpModel_v31 | #11 C |
Amoritization Period (Year ) = 20 Description: Time period over which incurred retrofit cost is amoritized; should be related to lifetime of a home. Present In 1 View: Used By
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HeatPumpModel_v31 | #52 C |
Average Income (Dollar / Hour / House ) = 55 Description: The average income of single family homeowners in Massachusetts. Calculated from 2020 EIA RECS data for MA SFH, where each individual was assigned the average income of their reported income bracket, other than those making more than $150K/year, who were assigned $175,000. Hourly wage calculated by assuming working 8 hours a day, 5 days a week, for 50 weeks in a year. Present In 1 View: Used By
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HeatPumpModel_v31 | #54 A |
Average Lifetime of Cooling Technology (Years) Average Lifetime of Cooling Technology[Heat Pump Heating and Cooling] = 12.5 Average Lifetime of Cooling Technology[Central AC Cooling] = 12.5 Average Lifetime of Cooling Technology[Window AC Cooling] = 9 Average Lifetime of Cooling Technology[No AC Cooling] = NAREPLACEMENT Description: The average lifetime of each cooling system.Central AC data from: https://www.energy.gov/energysaver/central-air-conditioningWindow AC data from: https://www.consumerreports.org/air-conditioner/is-it-time-to-get-a-new-window-air-conditioner-a1532530762/ Present In 1 View: Used By
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HeatPumpModel_v31 | #55 C |
Average Lifetime of Heating Technology (Year) Average Lifetime of Heating Technology[Heat Pump Heating and Cooling] = 12.5 Average Lifetime of Heating Technology[Gas Heating] = 20 Average Lifetime of Heating Technology[Oil Heating] = 20 Description: The average lifetime of each heating system.Heat pump data from: https://glascohvac.com/heating/heat-pumps/long-heat-pump-last/Gas data from: https://www.carrier.com/residential/en/us/products/furnaces/how-long-does-a-furnaces-last/Oil data from: https://modernize.com/hvac/heating-repair-installation/furnace/oil Present In 1 View: Used By
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HeatPumpModel_v31 | #57 C |
Average Time To Consider Switching (Year ) = 15 Description: The average time it takes for a house to consider switching their heating and cooling system. Present In 2 Views: Used By
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HeatPumpModel_v31 | #61 C |
CDD on Coldest Day (F ) = 17.1 Description: The total CDD from hottest day.Data from https://www.degreedays.net/ for KOWD, weather station nearest to centre of population for MA, Natick. Calculated by finding CDDs from the past three years (February 2021 - January 2024), finding the highest CDD in each year, and averaging them. Following industry standard, used 65°F as set point. Present In 1 View: Used By
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.housingagingchain v8 | #66 C |
Cohort Duration (Year ) = 10 Description: The width (duration) of each cohort. Present In 2 Views: Used By
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HeatPumpModel_v31 | #67 C |
Cooling Degree Days (F ) = 1029 Description: The difference between temperature setpoint (65 F) and outside temperature for heating. Typically called cooling degree days, but units are solely in terms of fahrenheit.Data from degreedays.net, using the weather station for Norwood Memorial Airport, the closest weather station to the center of MA's population, Natick. Use set point of 65°F, in line with industry standard, as at that temperature little heating or cooling is necessary. Present In 3 Views: Used By
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HeatPumpModel_v31 | #68 C |
Cooling Emissions Factor (lb CO2 / kBTU) = 614/3414.43 Description: Amount of CO2 emitted from using one kBTU to cool a home. Emissions factor is common, and is for electricity.Taken from: https://www.mass.gov/doc/2020-summary-massachusetts-ghg-emissions-reports-for-retail-sellers-of-electricity/download Present In 1 View: Used By
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HeatPumpModel_v31 | #69 C |
Cooling Energy Price Step Height 1 (Dimensionless ) = 0 Description: Height of step input to customer orders, as fraction of initial value. Present In 1 View: Used By
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HeatPumpModel_v31 | #73 C |
Cost of Bad Air Conditioning (Dollar / House ) Cost of Bad Air Conditioning[Window AC Cooling] = 80000 Cost of Bad Air Conditioning[No AC Cooling] = 100000 Description: Willingness of Window AC users and those without AC to pay for central AC or heat pumps due to those technologies' inability to heat homes and their noisiness.Chosen to be sufficiently high that very few or no houses choose to keep window AC or no AC. Present In 1 View: Used By
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.housingagingchain v15 | #76 A |
Cost of Switching Heating and Cooling Systems (Dollar / House) Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump Only,Retrofitting Status,Heating and Cooling System] = 0 Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump Only,Retrofitting Status,Heat Pump Only] = Total Present Value of Cost[ Cohort,Heat Pump Only, Retrofitting Status,Heat Pump Only] Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump Only,Retrofitting Status,Gas and Central AC] = Total Present Value of Cost[ Cohort,Heat Pump Only, Retrofitting Status,Gas and Central AC]+ Cost of Cooling System Replacement[Gas and Central AC]+ Cost of Heating System Replacement[Gas and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump and Gas,Retrofitting Status,Heating and Cooling System] = 0 Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump and Gas,Retrofitting Status,Heat Pump and Gas] = Total Present Value of Cost[ Cohort,Heat Pump and Gas, Retrofitting Status,Heat Pump and Gas] Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump and Gas,Retrofitting Status,Gas and Central AC] = Total Present Value of Cost[ Cohort,Heat Pump and Gas, Retrofitting Status,Gas and Central AC]+ Cost of Cooling System Replacement[Gas and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Gas and Central AC,Retrofitting Status,Heating and Cooling System] = 0 Cost of Switching Heating and Cooling Systems[Cohort,Gas and Central AC,Retrofitting Status,Heat Pump Only] = Total Present Value of Cost[ Cohort,Gas and Central AC, Retrofitting Status,Heat Pump Only]+ Cost of Heating System Replacement[Heat Pump Only] Cost of Switching Heating and Cooling Systems[Cohort,Gas and Central AC,Retrofitting Status,Heat Pump and Gas] = Cost of Heating System Replacement[Heat Pump and Gas]+ Total Present Value of Cost[ Cohort,Gas and Central AC, Retrofitting Status,Heat Pump and Gas] Cost of Switching Heating and Cooling Systems[Cohort,Gas and Central AC,Retrofitting Status,Gas and Central AC] = Total Present Value of Cost[ Cohort,Gas and Central AC, Retrofitting Status,Gas and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Gas and Window or No AC,Retrofitting Status,Heating and Cooling System] = 0 Cost of Switching Heating and Cooling Systems[Cohort,Gas and Window or No AC,Retrofitting Status,Heat Pump Only] = Cost of Heating System Replacement[Heat Pump Only]+ Total Present Value of Cost[ Cohort, Gas and Window or No AC, Retrofitting Status,Heat Pump Only] Cost of Switching Heating and Cooling Systems[Cohort,Gas and Window or No AC,Retrofitting Status,Heat Pump and Gas] = Cost of Heating System Replacement[Heat Pump Only]+ Total Present Value of Cost[ Cohort, Gas and Window or No AC, Retrofitting Status,Heat Pump and Gas] Cost of Switching Heating and Cooling Systems[Cohort,Gas and Window or No AC,Retrofitting Status,Gas and Central AC] = Cost of Cooling System Replacement[Gas and Central AC]+ Total Present Value of Cost[ Cohort, Gas and Window or No AC, Retrofitting Status,Gas and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump and Gas,Retrofitting Status,Heat Pump Only] = Total Present Value of Cost[ Cohort,Heat Pump and Gas, Retrofitting Status,Heat Pump Only] Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump Only,Retrofitting Status,Oil and Central AC] = Cost of Heating System Replacement[Oil and Central AC]+ Cost of Cooling System Replacement[Oil and Central AC]+ Total Present Value of Cost[ Cohort,Heat Pump Only, Retrofitting Status,Oil and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Oil and Central AC,Retrofitting Status,Heating and Cooling System] = 0 Cost of Switching Heating and Cooling Systems[Cohort,Oil and Central AC,Retrofitting Status,Heat Pump Only] = Cost of Heating System Replacement[Heat Pump Only]+ Total Present Value of Cost[ Cohort,Oil and Central AC, Retrofitting Status,Heat Pump Only] Cost of Switching Heating and Cooling Systems[Cohort,Oil and Central AC,Retrofitting Status,Gas and Central AC] = Cost of Heating System Replacement[Gas and Central AC]+ Total Present Value of Cost[ Cohort,Oil and Central AC, Retrofitting Status,Gas and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Oil and Central AC,Retrofitting Status,Heat Pump and Oil] = Cost of Heating System Replacement[Heat Pump and Oil]+ Total Present Value of Cost[ Cohort,Oil and Central AC, Retrofitting Status,Heat Pump and Oil] Cost of Switching Heating and Cooling Systems[Cohort,Oil and Central AC,Retrofitting Status,Oil and Central AC] = Total Present Value of Cost[ Cohort,Oil and Central AC, Retrofitting Status,Oil and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Oil and Window or No AC,Retrofitting Status,Heating and Cooling System] = 0 Cost of Switching Heating and Cooling Systems[Cohort,Oil and Window or No AC,Retrofitting Status,Heat Pump Only] = Cost of Heating System Replacement[Heat Pump Only]+ Total Present Value of Cost[ Cohort, Oil and Window or No AC, Retrofitting Status,Heat Pump Only] Cost of Switching Heating and Cooling Systems[Cohort,Oil and Window or No AC,Retrofitting Status,Gas and Central AC] = Cost of Heating System Replacement[Gas and Central AC]+ Cost of Cooling System Replacement[Gas and Central AC]+ Total Present Value of Cost[ Cohort, Oil and Window or No AC, Retrofitting Status,Gas and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Oil and Window or No AC,Retrofitting Status,Heat Pump and Oil] = Cost of Heating System Replacement[Heat Pump and Oil]+ Total Present Value of Cost[ Cohort, Oil and Window or No AC, Retrofitting Status,Heat Pump and Oil] Cost of Switching Heating and Cooling Systems[Cohort,Oil and Window or No AC,Retrofitting Status,Oil and Central AC] = Cost of Cooling System Replacement[Oil and Central AC]+ Total Present Value of Cost[ Cohort, Oil and Window or No AC, Retrofitting Status,Oil and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump and Oil,Retrofitting Status,Heating and Cooling System] = 0 Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump and Oil,Retrofitting Status,Heat Pump Only] = Total Present Value of Cost[ Cohort,Heat Pump Only, Retrofitting Status,Heat Pump Only] Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump and Oil,Retrofitting Status,Heat Pump and Gas] = Cost of Heating System Replacement[Gas and Central AC]+ Total Present Value of Cost[ Cohort,Heat Pump and Oil, Retrofitting Status,Heat Pump and Gas] Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump and Oil,Retrofitting Status,Oil and Central AC] = Cost of Cooling System Replacement[Oil and Central AC]+ Total Present Value of Cost[ Cohort,Heat Pump and Oil, Retrofitting Status,Oil and Central AC] Cost of Switching Heating and Cooling Systems[Cohort,Heat Pump and Oil,Retrofitting Status,Heat Pump and Oil] = Total Present Value of Cost[ Cohort,Heat Pump and Oil, Retrofitting Status,Heat Pump and Oil] Description: Affinities of each heating and cooling combination based on which heating and cooling combination houses have. This the numerator of a logit function. Assumes that retirement of systems is not determined by age, and so homes considering to switch heating systems do not have to replace their current one-- but they do have to purchase a system they currently do not have. The cost is determined by present cost of operating (i.e., opeating a system for infinite horizon, as it's included in sale price), in addition to current replacement costs if house does not have a system they're switching into. Any switches we assume are not possible we list as being 0. Present In 1 View: Used By
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HeatPumpModel_v31 | #83 C |
Days per Year (Day / Year ) = 365 Description: The number of days each year. Used to convert yearly measures to daily ones. Present In 1 View: Used By
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.housingagingchain v15 | #85 C |
Delay in Changing Subsidy Expectations (Year ) = 0.5 Description: Delay in perceiving any changes to subsidies. Assumed to be the same for both subsidies. Present In 1 View: Used By
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.housingagingchain v15 | #86 C |
Delay in Forming Expectations of Energy Price (Year ) = 1 Description: Delay in perceiving changes in energy price. Present In 1 View: Used By
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.housingagingchain v15 | #87 C |
Delay in Forming Expectations of Retrofit Costs (Year ) = 1.5 Description: Delay in perceiving changes in fixed retrofit cost and reference marginal cost. Assumed to be the same for both types of costs. Present In 1 View: Used By
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HeatPumpModel_v31 | #88 C |
Demolition Hazard Rate (1 / Year ) = 0.01 Description: Proportion of homes demolished every year. Value is assumed to be equal across both retrofitting and non-retrofitting homes. Heuristically chosen so total housing stock grows at net 1%/year. Present In 1 View: Used By
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HeatPumpModel_v31 | #90 C |
Discount Rate (1 / Year ) = 0.05 Description: Discount rate for discounting energy savings cash flows.Average and bounds from demand-side discount rate from MassDEP's analysis of pathways for net zero (pg. 103): https://www.mass.gov/doc/energy-pathways-for-deep-decarbonization-report/downloadhttps://www.mass.gov/doc/energy-pathways-for-deep-decarbonization-report/download Present In 4 Views: Used By
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HeatPumpModel_v31 | #92 C |
EEHIC Maximum Subsidy for Retrofits (Dollar / House ) = 1200 Description: The maximum proportional subsidy that will be offered from Energy Efficient Home Improvement Credit, regardless of that subsidy's discount. Source: https://www.nrdc.org/stories/consumer-guide-inflation-reduction-act Present In 1 View: Used By
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HeatPumpModel_v31 | #93 C |
EEHIC Proportional Subsidy Rate for Retrofits (dmnl ) = 0.3 Description: Proportion of total retrofit cost that will be credited with the Energy Efficiency Home Improvement Credit.Source: https://www.nrdc.org/stories/consumer-guide-inflation-reduction-act Present In 1 View: Used By
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HeatPumpModel_v31 | #94 C |
EEHIC Subsidy for Retrofits Final Year (Year) = 2033 Description: The year in which the EEHIC is phased out. If final time, then has no ending data.Source: https://www.irs.gov/credits-deductions/energy-efficient-home-improvement-credit Present In 2 Views: Used By
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HeatPumpModel_v31 | #95 C |
Effect of Air Leakage from Window AC on Efficiency (dmnl) = 0.9*10/11 Description: A window air conditioner typically does not perfectly cover its intended cavity, leading to more air leakage and therefore reducing efficiency.Taken from: https://www.energy.gov/sites/prod/files/2014/08/f18/ba_innovations_1-2-5_window_ac.pdf Present In 1 View: Used By
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.housingagingchain v8 | #100 C |
Energy Price Exponential Growth Rate (1/Year ) = 0 Description: The exogenous growth fraction for the test input. Present In 1 View: Used By
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HeatPumpModel_v31 | #99 C |
Energy Price Exponential Growth Rate 1 (1/Year ) = 0 Description: The exogenous growth fraction for the test input. Present In 1 View: Used By
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.housingagingchain v8 | #102 C |
Energy Price Pulse Quantity (Dimensionless*Year) = 0 Description: The quantity to be injected to customer orders, as a fraction of the base value of Input.For example, to pulse in a quantity equal to 50% of the current value of input, set to.50. Present In 1 View: Used By
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HeatPumpModel_v31 | #101 C |
Energy Price Pulse Quantity 1 (Dimensionless*Year) = 0 Description: Pulse value, as a fraction of the base value of Input.For example, to pulse in a quantity equal to 50% of the current value of input, set to.50. Present In 1 View: Used By
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.housingagingchain v8 | #104 C |
Energy Price Ramp Slope (1/Year ) = 0 Description: Slope of the ramp input, as a fraction of the base value (per week). Present In 1 View: Used By
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HeatPumpModel_v31 | #103 C |
Energy Price Ramp Slope 1 (1/Year ) = 0 Description: Slope of the ramp input, as a fraction of the base value (per week). Present In 1 View: Used By
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.housingagingchain v8 | #105 C |
Energy Price Step Height (Dimensionless ) = 0 Description: Height of step input to customer orders, as fraction of initial value. Present In 1 View: Used By
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.housingagingchain v5 testing | #128 C |
Fixed Cost (Dollar / House ) = 0 Description: Fixed cost of retrofitting, due to permitting, finding contractors, etc. This is not taken into account in the marginal cost of retrofitting, and this model assumes that households have not yet paid a fixed cost when deciding to retrofit. This cost only applies to existing housing.Set this equal to 0, because almost all costs for retrofits seem to be variable (except for permitting, which isn't usually used), and there's no data to suggest otherwise. Present In 2 Views: Used By
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HeatPumpModel_v31 | #135 C |
Fractional Decrease in Code U (1 / Year ) = 0 Description: Fractional decrease in code per year. Exogenous and set by policymakers in the real world. For initial paper, assume that code U is constant. Present In 1 View: Used By
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HeatPumpModel_v31 | #137 C |
HDD on Coldest Day (F ) = 55.2333 Description: The total HDD from coldest day.Data from https://www.degreedays.net/ for KOWD, weather station nearest to centre of population for MA, Natick. Calculated by finding HDDs from the past three years (February 2021 - January 2024), finding the highest HDD in each year, and averaging them. Following industry standard, used set point of 65°F. Present In 1 View: Used By
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HeatPumpModel_v31 | #139 C |
Heat Pump COP on Coldest Days (dmnl ) = 2.16438 Description: The heat pump COP on coolest day of the year.Taken from NYSERDA/MassCEC study on heat pump performance on 41 heat pumps: https://e4thefuture.org/wp-content/uploads/2022/06/Residential-ccASHP-Building-Electrification_060322.pdf (pg. 24). Regressed COP on temperature and its square. Using daily data on HDD (set point 65°F) for 2021-2023 from degreedays.net, calculated temperature of coldest day on average. Plugged that into regression model to find COP on coldest day. Present In 1 View: Used By
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HeatPumpModel_v31 | #141 C |
Heating Degree Days (F ) = 5026 Description: The difference between temperature setpoint (65 F) and outside temperature.Data from degreedays.net, using the weather station for Norwood Memorial Airport, the closest weather station to the center of MA's population, Natick. In line with industry standard, use set point of 65°F, as thattemperature little heating or cooling is needed. Present In 3 Views: Used By
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HeatPumpModel_v31 | #142 C |
Heating Emissions Factors (lb CO2 / kBTU) Heating Emissions Factors[Heat Pump Heating and Cooling] = 684/3414.43 Heating Emissions Factors[Gas Heating] = 116.65/1000 Heating Emissions Factors[Oil Heating] = 163.45/1000 Description: The pounds of CO2 emitted per kBTU of heating energy provided, for each heating fuel.Data for heat pumps (electricity) is: https://www.mass.gov/doc/2020-summary-massachusetts-ghg-emissions-reports-for-retail-sellers-of-electricity/downloadRest is from: https://www.eia.gov/environment/emissions/co2_vol_mass.phpIn line with that source, I assume that each heat pump will add to the grid and is not part of base demand, and so the marginal emissions from producing electricity from heat pumps will be constant at the value as it will come from natural gas generators (explanation of which is from here: https://willbrownsberger.com/how-green-will-the-power-be/ Present In 1 View: Used By
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HeatPumpModel_v31 | #146 C |
Homeowner Hours Spent Retrofitting (Hour ) = 750 Description: The amount of hours a homeowners spends retrofitting their home themselves, i.e., the hours spent deciding to retrofit, supervising audits, moving out of the home as necessary, etc. No hard data on this, calibrated so that the initial fraction of homes willing to retrofit is 10%. Present In 1 View: Used By
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HeatPumpModel_v31 | #147 C |
HOMES Cut Off for Savings (dmnl ) = 0.35 Description: The percent energy savings needed to get the higher subsidy amount from the Home Owner Managing Energy Savings rebate. Taken from: https://www.nrdc.org/bio/lauren-urbanek/theres-no-better-time-consider-home-energy-upgrades#: :text=The%20HOMES%20Rebate%20Program%20provides,or%20from%20measured%20energy%20savings. Present In 2 Views: Used By
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HeatPumpModel_v31 | #150 C |
HOMES High Subsidy Amount (Dollar / House ) = 4000 Description: The subsidy from the home owner managing energy savings rebate for retrofits saving more than 35% of energy.Source: https://www.nrdc.org/bio/lauren-urbanek/theres-no-better-time-consider-home-energy-upgrades#: :text=The%20HOMES%20Rebate%20Program%20provides,or%20from%20measured%20energy%20savings. Present In 1 View: Used By
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.housingagingchain v15 | #153 C |
HOMES Lower Subsidy Amount (Dollar / House ) = 2000 Description: The lump sum subsidy given for retrofits that save less than 35% of their energy from the Home Owner Managing Energy Savings tax credit.Source: https://www.nrdc.org/bio/lauren-urbanek/theres-no-better-time-consider-home-energy-upgrades#: :text=The%20HOMES%20Rebate%20Program%20provides,or%20from%20measured%20energy%20savings. Present In 1 View: Used By
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HeatPumpModel_v31 | #154 C |
HOMES Subsidy Final Year (Year) = 2032 Description: Final year of Home Owner Managing Energy Savings rebate, assumed to be the same as that of the EEHIC. Present In 1 View: Used By
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.housingagingchain v15 | #155 C |
HOMES Subsidy Implementation Year (Year ) = 2025 Description: The year in which the lump sum subsidy will activate. Present In 1 View: Used By
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HeatPumpModel_v31 | #166 C |
Housing Fractional Growth Rate (1 / Year ) = 0.02 Description: The annual growth rate in housing. Heuristically chosen so that total housing stock grows at net 1%/year. Present In 1 View: Used By
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.housingagingchain v8 | #168 C |
Housing Starts Exponential Growth Rate (1/Year ) = 0 Description: The exogenous growth fraction for the test input. Present In 1 View: Used By
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.housingagingchain v8 | #170 C |
Housing Starts Pulse Quantity (Dimensionless*Year) = 0 Description: The quantity to be injected to customer orders, as a fraction of the base value of Input.For example, to pulse in a quantity equal to 50% of the current value of input, set to.50. Present In 1 View: Used By
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.housingagingchain v8 | #171 C |
Housing Starts Ramp Slope (1/Year ) = 0 Description: Slope of the ramp input, as a fraction of the base value (per week). Present In 1 View: Used By
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.housingagingchain v8 | #172 C |
Housing Starts Step Height (Dimensionless ) = 0 Description: Height of step input to customer orders, as fraction of initial value. Present In 1 View: Used By
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HeatPumpModel_v31 | #180 C |
Increase in Area per Year (sf / Year / House ) = 10.76 Description: The exogenous increase in area per year, found by regressing area on year house was built in RECS 2020 data for MA SFG. Present In 1 View: Used By
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HeatPumpModel_v31 | #185 LI,C |
Initial Area (sf) Initial Area[Cohort] = 10 Description: Total initial area across all houses, by cohort (assuming that average area is the same across systems). Present In 1 View: Used By
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HeatPumpModel_v31 | #186 C |
Initial Average Area of Housing Starts (sf / House ) = 2347 Description: Initial average area of housing starts. Taken from average area of MA SFH homes built from 2015 to 2020, from EIA RECS data. Present In 1 View: Used By
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HeatPumpModel_v31 | #187 C |
Initial Average U Value (kBTU/(Year*sf*F)) Initial Average U Value[Cohort] = 0.19235 Description: The initial average U, equal to the average U value of MA SFH in 2022, from EIA RECS. Present In 1 View: Used By
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HeatPumpModel_v31 | #188 LI,C |
Initial Code U Value (kBTU / (sf * F * Year)) = 0.003 Description: The initial value of code U. For initial paper, assume that this is between initial optimal U (nearly 0) and average U (0.006). Present In 1 View: Used By
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HeatPumpModel_v31 | #189 C |
Initial Cooling Energy Price (Dollar / kBTU) = 0.062 Description: The price to cool a home per BTU. This is the price of electricity as all cooling systems, as air conditioning systems, use electricity. Present In 1 View: Used By
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HeatPumpModel_v31 | #190 C |
Initial Fraction of Homes Retrofitting (dmnl ) = 0.1 Description: Initial fraction of homes open to retrofitting. Heuristically chosen to be 0.1 to match low level of retrofitting that current occurs. Present In 1 View: Used By
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.housingagingchain v5 testing | #191 C |
Initial Heating Energy Price (Dollar / (kBTU)) Initial Heating Energy Price[Heat Pump Heating and Cooling] = 0.062 Initial Heating Energy Price[Gas Heating] = 0.0142 Initial Heating Energy Price[Oil Heating] = 0.017 Description: Price of energy used in each technology: heat pump, central AC, window AC, no AC, gas, and oil. For heat pumps and air conditioners, this is electricity.Data from (using annual 2020 data for MA):electricity: https://www.eia.gov/electricity/data/browser/#/topic/7?agg=1,0&geo=vvvvvvvvvvvvo&endsec=8&freq=M&start=200101&ctype=linechart<ype=pin&rtype=s&pin=&rse=0&maptype=0,natural gas:https://www.eia.gov/dnav/ng/ng_pri_sum_a_EPG0_PRS_DMcf_a.htmheating oil: https://www.eia.gov/petroleum/heatingoilpropane/ Present In 1 View: Used By
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.housingagingchain v5 testing | #192 LI,A |
Initial Homes Not Retrofitting (House) Initial Homes Not Retrofitting[Cohort,Heating and Cooling System] = 0 Initial Homes Not Retrofitting[Preexisting Cohorts,Heating and Cooling System] = (1- Initial Fraction of Homes Retrofitting)* Initial Housing[ Preexisting Cohorts, Heating and Cooling System] Description: Initial homes not open to retrofitting. Present In 1 View: Used By
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.housingagingchain v5 testing | #193 LI,A |
Initial Homes Retrofitting (Houses) Initial Homes Retrofitting[Cohort,Heating and Cooling System] = 0 Initial Homes Retrofitting[Preexisting Cohorts,Heating and Cooling System] = Initial Fraction of Homes Retrofitting* Initial Housing[ Preexisting Cohorts, Heating and Cooling System] Description: Homes that are open to retrofitting initially. Present In 1 View: Used By
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HeatPumpModel_v31 | #195 C |
Initial Housing (House) Initial Housing[Cohort,Heating and Cooling System] = 2.2e+06 Description: The total number of houses that begin in each cohort and heating and cooling source. Taken from CIN file. Present In 1 View: Used By
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.housingagingchain v15 | #197 LI,A |
Initial U Value (House * kBTU / (Year * F * sf)) Initial U Value[Cohort,Heating and Cooling System,Retrofitting Status] = 0 Initial U Value[Preexisting Cohorts,Heating and Cooling System,Retrofitting Status] = Initial Average U Value[ Preexisting Cohorts]* Housing[ Preexisting Cohorts, Heating and Cooling System, Retrofitting Status] Description: Initial U value of cohorts; must be zero for cohorts not yet built. Present In 1 View: Used By
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HeatPumpModel_v31 | #204 C |
IRA Lump Sum Subsidy for Heat Pumps Final Year (Year ) = 2032 Description: The year in which the subsidy is phased out. If final time, then has no ending date. Present In 1 View: Used By
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HeatPumpModel_v31 | #205 C |
IRA Maximum Proportional Subsidy for Heat Pumps (Dollar / House ) = 2000 Description: The maximum proportional subsidy for heat pumps that will be offered, regardless of the subsidy rate. For instance, if the proportional subsidy is 50% but the maximum is $1000, then for a retrofit project that costs $3000 only a $1000 subsidy will be given.Taken from: https://www.energystar.gov/about/federal-tax-credits Present In 2 Views: Used By
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HeatPumpModel_v31 | #206 C |
IRA Proportional Subsidy Implementation Year for Heat Pumps (Year ) = 2023 Description: Time at which the proportional subsidy will take effect from the Inflation Reduction Act, from https://www.nrdc.org/stories/consumer-guide-inflation-reduction-act Present In 1 View: Used By
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HeatPumpModel_v31 | #207 C |
IRA Proportional Subsidy Rate for Heat Pumps (dmnl ) = 0.3 Description: Proportion of total heat pump cost that will be credited as part of a proportional subsidy.Taken from: https://www.energystar.gov/about/federal-tax-credits Present In 1 View: Used By
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HeatPumpModel_v31 | #208 C |
kBTU per kWH (kBTU / kWH ) = 3.41214 Present In 1 View: Used By
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.housingagingchain v15 | #214 C |
Mass Save Proportional Subsidy Rate for Retrofits (dmnl ) = 0.75 Description: Proportion of total retrofit cost that will be credited as part of a proportional subsidy. Theoretically, this can vary between current housing and housing under construction.Based off Mass Save data: https://www.masssave.com/en/residential/rebates-and-incentives/insulation-and-windows/insulation-and-air-sealing Present In 2 Views: Used By
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HeatPumpModel_v31 | #220 C |
MassSave Lump Sum Subsidy Amount for Heat Pumps (Dollar / House ) = 10000 Description: The total amount of money offered by the lump sum subsidy.Taken from: https://www.masssave.com/residential/rebates-and-incentives/heating-and-cooling/heat-pumps/air-source-heat-pumps. Present In 1 View: Used By
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HeatPumpModel_v31 | #221 C |
MassSave Lump Sum Subsidy for Heat Pumps Final Year (Year) = 2200 Description: The year in which the state's subsidy for heat pumps is phased out. Present In 1 View: Used By
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HeatPumpModel_v31 | #222 C |
MassSave Lump Sum Subsidy Implementation Year for Heat Pumps (Year ) = 2020 Description: The year in which the state's lump sum subsidy for heat pumps will activate. Present In 1 View: Used By
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.housingagingchain v15 | #223 C |
MassSave Maximum Subsidy for Retrofits (Dollar / House ) = 1e+07 Description: The maximum proportional subsidy that will be offered, regardless of that subsidy's discount. For instance, if the proportional subsidy is 50% but the maximum is $1000, then for a retrofit project that costs $3000 only a $1000 subsidy will be given.If very large, then no maximum subsidy given. Present In 1 View: Used By
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.housingagingchain v8 | #225 C |
Maximum Energy Price (Dollar / kBTU) = 10 Description: Shifts x-axis for graph of optimal retrofit amount as a function of energy price. Present In 0 Views: |
HeatPumpModel_v31 | #227 C |
Months per Year (Month / Year ) = 12 Description: The number of months per year. Present In 1 View: Used By
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HeatPumpModel_v31 | #235 C |
No Turnover Switch (dmnl ) = 0 Description: Switch for having no turnover in housing stock-- i.e., no housing demolitions or constructions. Present In 1 View: Used By
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.housingagingchain v8 | #238 C |
Noise Correlation Time (Year) = 4 Description: The correlation time constant for Pink Noise. Present In 1 View: Used By
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.housingagingchain v8 | #236 C |
Noise Correlation Time 0 (Year) = 4 Description: The correlation time constant for Pink Noise. Present In 1 View: Used By
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HeatPumpModel_v31 | #237 C |
Noise Correlation Time 1 (Year) = 4 Description: The correlation time constant for Pink Noise. Present In 1 View: Used By
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.housingagingchain v8 | #241 C |
Noise Standard Deviation (Dimensionless) = 0 Description: The standard deviation of the pink noise process. Present In 1 View: Used By
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.housingagingchain v8 | #239 C |
Noise Standard Deviation 0 (Dimensionless) = 0 Description: The standard deviation of the pink noise process. Present In 1 View: Used By
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HeatPumpModel_v31 | #240 C |
Noise Standard Deviation 1 (Dimensionless) = 0 Description: The standard deviation of the pink noise process. Present In 1 View: Used By
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.housingagingchain v8 | #244 C |
Noise Start Time (Year) = 5 Description: Start time for the random input. Present In 1 View: Used By
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.housingagingchain v8 | #242 C |
Noise Start Time 0 (Year) = 5 Description: Start time for the random input. Present In 1 View: Used By
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HeatPumpModel_v31 | #243 C |
Noise Start Time 1 (Year) = 5 Description: Start time for the random input. Present In 1 View: Used By
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HeatPumpModel_v31 | #261 C |
Peak Load from Non Heating or Cooling Sources (kWH / Day ) = 18344.8*1000*0.461799 Description: The peak load coming from non-heating sources, like other household uses, commercial uses, industrial uses, etc. Approximated as the average peak load in September, October, April, and May of 2022 and 2023 from New England ISO data, since there is little heating or cooling demand in those swing months. We multiply by 0.46 as Massachusetts has 46% of New England's population and we assume demand is proportional to population.Data source: https://www.iso-ne.com/isoexpress/web/reports/load-and-demand/-/tree/net-ener-peak-load Present In 1 View: Used By |
HeatPumpModel_v31 | #264 C |
Pounds per Ton (lb CO2 / tCO2) = 2204.6 Description: The number of pounds in a metric ton. Present In 1 View: Used By
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HeatPumpModel_v31 | #269 C |
Proportional EEHIC Subsidy Implementation Year for Retrofits (Year ) = 2023 Description: Time at which the proportional subsidy will take effect from the Energy Efficiency Home Improvement Credit.Source: https://www.nrdc.org/stories/consumer-guide-inflation-reduction-act Present In 2 Views: Used By
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HeatPumpModel_v31 | #270 C |
Proportional IRA Subsidy Switch for Heat Pumps (dmnl ) = 1 Description: Turns proportional subsidy's effect on retrofit cost on/off. Present In 2 Views: Used By
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.housingagingchain v15 | #271 C |
Proportional MassSave Subsidy Implementation Year for Retrofits (Year ) = 2020 Description: Time at which the proportional subsidy will take effect. Present In 2 Views: Used By
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.housingagingchain v15 | #272 C |
Proportional Subsidy Switch for Retrofits (dmnl ) = 1 Description: Turns proportional subsidy's effect on retrofit cost on/off. Present In 1 View: Used By
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.housingagingchain v8 | #275 C |
Pulse Time (Year) = 5 Description: Time at which the pulse in Input occurs. Present In 1 View: Used By
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.housingagingchain v8 | #273 C |
Pulse Time 0 (Year) = 5 Description: Time at which the pulse in Input occurs. Present In 1 View: Used By
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HeatPumpModel_v31 | #274 C |
Pulse Time 1 (Year) = 5 Description: Time at which the pulse in Input occurs. Present In 1 View: Used By
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.housingagingchain v8 | #278 C |
Ramp End Time (Year) = 1e+09 Description: End time for the ramp input. Present In 1 View: Used By
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.housingagingchain v8 | #276 C |
Ramp End Time 0 (Year) = 1e+09 Description: End time for the ramp input. Present In 1 View: Used By
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HeatPumpModel_v31 | #277 C |
Ramp End Time 1 (Year) = 1e+09 Description: End time for the ramp input. Present In 1 View: Used By
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.housingagingchain v8 | #281 C |
Ramp Start Time (Year) = 5 Description: Start time for the ramp input. Present In 1 View: Used By
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.housingagingchain v8 | #279 C |
Ramp Start Time 0 (Year) = 5 Description: Start time for the ramp input. Present In 1 View: Used By
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HeatPumpModel_v31 | #280 C |
Ramp Start Time 1 (Year) = 5 Description: Start time for the ramp input. Present In 1 View: Used By
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HeatPumpModel_v31 | #282 C |
Reference Lifetime Cost of Heating and Cooling Systems (Dollar / House ) = 30000 Description: The reference value of lifetime heating and cooling combinations when people calculate affinity of each combo. Hand calibrated to roughly match heat pump sales in https://www.masssave.com/en/about/news-and-events/news/mass-save-sponsors-announce-record-number-of-heat-pump-installations-across-massachusetts Present In 1 View: Used By
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.housingagingchain v5 testing | #283 C |
Reference Marginal Cost (Dollar / sf / (kBTU / (sf * Year * F)) ) = 12.88 Description: The marginal cost of retrofitting at the reference EUI. In particular, the marginal cost of retrofitting at some EUI is Reference U *( (Reference U / U) ^ Sensitivity )This was calculated by setting sensitivity of marginal cost equal to 1.25, and finding the MC where a 31% reduction in U value from the reference costs a total of 4.95 / (1 - 0.21) dollars per square foot. The sensitivity value is explained in the sensitivity variable. Less et al. (2021, pg. 17-18) note that in their project database, the median cost per square foot for retrofits after subsidies was $4.95, while subsidies accounted for 21% of the total project cost for the median project. The median cost reduced energy use by 28% - 33% (of which I took the average), and I use the lower bound value to account for the fact that energy savings may occur not only due to increase in U value.Obviously all of this is extraordinarily rough.Less et al. (2021): https://eta-publications.lbl.gov/sites/default/files/final_walker_-_the_cost_of_decarbonization_and_energy.pdf Present In 2 Views: Used By
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HeatPumpModel_v31 | #284 C |
Reference Retrofit Cost (Dollar / (House * Year) ) = 8740 Description: Perceived cost of home heating to which households compare the perceived cost of retrofitting to when deciding to retrofit.Taken from average retrofit cost in Less et al. (2021)'s dataset, shown on page 17: https://eta-publications.lbl.gov/sites/default/files/final_walker_-_the_cost_of_decarbonization_and_energy.pdf Present In 2 Views: Used By
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.housingagingchain v9 | #285 C |
Reference U Value (kBTU / (sf * Year * F) ) = 0.006 Description: Reference U Value to ensure base of exponent in marginally optimal U value is dimensionless. This must be equal to or greater than code U value.Value taken as the average of U values of single family homes in MA in 2020 for our sample. Present In 3 Views: Used By
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HeatPumpModel_v31 | #286 C |
Retrofit Delay (Year ) = 2 Description: Time to retrofit. Assumed to be on average six months. Present In 2 Views: Used By
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HeatPumpModel_v31 | #290 C |
Sensitivity of Affinity to Cost (dmnl ) = 10 Description: Sensitivity of affinity to each heating and cooling combination having higher cost. The higher this, the fewer houses will convert to more expensive combinations.Calculated by hand calibration-- value ensures that amount of heat pumps sold 2020 - 2024 begins at about 10K and goes to about 20K in 2024, in accordance with MassSave data from https://www.masssave.com/en/about/news-and-events/news/mass-save-sponsors-announce-record-number-of-heat-pump-installations-across-massachusetts Present In 1 View: Used By
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.housingagingchain v5 testing | #291 C |
Sensitivity of Marginal Cost to U Value (dmnl ) = 3.25 Description: Measures the sensitivity of marginal retrofit costs as a function of optimal U value. In particular, marginal Retrofit Cost is equal to Constant * (U Value retrofitted away ^ Convexity). This must be greater than 1.This is taken from pg. 69 of Caswell (2022), where she calculates the total retrofit cost curve as a function of percent savings as having an exponent of 2.25. Because this is the total retrofit cost curve, the exponent for the marginal cost is -2.25 - 1. Because percent savings is inversely proportional to U, the exponent in the total cost curve will be the negation of 2.25, which is ensured in the marginal cost curve formulation in other variables. Present In 4 Views:
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HeatPumpModel_v31 | #292 C |
Sensitivity of Retrofits to Cost (dmnl ) = 10 Description: Sensitivity of affinity (and fraction of houses retrofitting) to NPV of retrofitting. Present In 2 Views: Used By
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.housingagingchain v8 | #295 C |
Sine Amplitude (Dimensionless) = 0 Description: Amplitude of sine wave in customer orders (fraction of mean). Present In 1 View: Used By
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.housingagingchain v8 | #293 C |
Sine Amplitude 0 (Dimensionless) = 0 Description: Amplitude of sine wave in customer orders (fraction of mean). Present In 1 View: Used By
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HeatPumpModel_v31 | #294 C |
Sine Amplitude 1 (Dimensionless) = 0 Description: Amplitude of sine wave in customer orders (fraction of mean). Present In 1 View: Used By
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.housingagingchain v8 | #298 C |
Sine Period (Year) = 50 Description: Period of sine wave in customer demand. Set initially to 50 weeks (1 year). Present In 1 View: Used By
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.housingagingchain v8 | #296 C |
Sine Period 0 (Year) = 50 Description: Period of sine wave in customer demand. Set initially to 50 weeks (1 year). Present In 1 View: Used By
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HeatPumpModel_v31 | #297 C |
Sine Period 1 (Year) = 50 Description: Period of sine wave. Set initially to 50 weeks (1 year). Present In 1 View: Used By
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.housingagingchain v8 | #302 C |
Step Time (Year) = 5 Description: Time for the step input. Present In 1 View: Used By
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.housingagingchain v8 | #300 C |
Step Time 0 (Year) = 5 Description: Time for the step input. Present In 1 View: Used By
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HeatPumpModel_v31 | #301 C |
Step Time 1 (Year) = 5 Description: Time for the step input. Present In 1 View: Used By
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HeatPumpModel_v31 | #305 C |
System Switching SWITCH (dmnl ) = 1 Description: Switch for allowing houses to switch heating and cooling systems. If 1, they can switch. Present In 1 View: Used By
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HeatPumpModel_v31 | #307 C |
Time to Decide to Retrofit (Year ) = 3 Description: Time to decide to retrofit. Present In 1 View: Used By
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HeatPumpModel_v31 | #321 C |
Total Initial Homes (Houses ) = 20 Description: Total number of houses, including those retrofitting or not. Number taken from Census's list of households in MA in 2022: https://www.census.gov/quickfacts/fact/table/MA/PST045222 Present In 1 View: Used By |
HeatPumpModel_v31 | #322 C |
Total Initial Housing Starts (Houses / Year ) = 0.5 Description: Total number of houses that are built per year, across all systems. Present In 1 View: Used By
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HeatPumpModel_v31 | #340 C |
Weight on Upfront Cost (dmnl ) = 0.5 Description: How much homeowners weigh upfront (amoritized) costs of retrofits as opposed to the total cost of ownership due to being more perceptive of short-term costs. Present In 2 Views: Used By
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.Control | #126 C |
FINAL TIME (Year) = 2050 Description: The final time for the simulation. Present In 1 View: Used By
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.Control | #196 C |
INITIAL TIME (Year) = 2020 Description: The initial time for the simulation. Present In 3 Views: Used By
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.Control | #306 C |
TIME STEP (Year ) = 0.03125 Description: The time step for the simulation. Present In 1 View: Used By
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Top | (Type) Flow (24 Variables) | ||
Variable Name And Description | .housingagingchain v8 | #8 F,A |
Age Removal (House * Year /Year) Age Removal[Cohort,Retrofitting Status] = SUM( Demolitions[ Cohort, Heating and Cooling System!, Retrofitting Status])* Average Age[ Cohort, Retrofitting Status] Description: Total age lost as houses are destroyed, scrapped, etc. Present In 1 View: Used By
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.housingagingchain v8 | #10 F,A |
Aging (House * Year / Year) Aging[Cohort,Retrofitting Status] = Aging per Year*SUM( Housing[ Cohort, Heating and Cooling System!, Retrofitting Status]) Description: Amount of years added to the housing stocks' total age per year. Because houses age 1 year per year, this is simply 1 multplied by the number of houses per cohort. Present In 1 View: Used By
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HeatPumpModel_v31 | #13 F,A |
Annual Federal Subsidies (Dollar / Year) = Federal Annual Heat Pump Subsidy+ Federal Annual Retrofit Subsidy Description: The amount of money the federal government spends on subsidies for heat pumps and retrofits, each year. Present In 1 View: Used By
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HeatPumpModel_v31 | #14 F,A |
Annual Heat Pump Subsidy (Dollar / Year) = Federal Annual Heat Pump Subsidy+ Massachusetts Annual Heat Pumps Subsidy Description: The amount of money the government spends to subsidize heat pumps, including state and federal government. Present In 1 View: Used By
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HeatPumpModel_v31 | #16 F,A |
Annual MA Subsidies (Dollar / Year) = Massachusetts Annual Retrofit Subsidy+ Massachusetts Annual Heat Pumps Subsidy Description: The subsidies that the Massachusetts state government gives out per year for both retrofits and heat pumps. Present In 1 View: Used By
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HeatPumpModel_v31 | #17 F,A |
Annual Retrofit Subsidy (Dollar / Year) = Federal Annual Retrofit Subsidy+ Massachusetts Annual Retrofit Subsidy Description: The subsidies for retrofits paid out every year. Present In 1 View: Used By
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.housingagingchain v8 | #19 F,A |
Area of New Homes (sf / Year) Area of New Homes[Cohort] = Average Area of Housing Starts*SUM( Housing Starts[ Cohort, Heating and Cooling System!]) Description: The total Area added by the construction of new homes, by cohort. Present In 1 View: Used By
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.housingagingchain v8 | #20 F,A |
Area Removal (sf /Year) Area Removal[Cohort,Retrofitting Status] = Average Area[ Cohort, Retrofitting Status]*SUM( Demolitions[ Cohort, Heating and Cooling System!, Retrofitting Status]) Description: Total area lost as houses are destroyed, scrapped, etc. Present In 1 View: Used By
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.housingagingchain v8 | #64 F,A |
Change in AC Noise (1/Year) = ( White Noise- Autocorrelated Noise)/ Noise Correlation Time Description: Change in the pink noise value; Pink noise is a first order exponential smoothing delay of the whitenoise input. Present In 1 View: Used By
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.housingagingchain v8 | #62 F,A |
Change in AC Noise 0 (1/Year) = ( White Noise 0- Autocorrelated Noise 0)/ Noise Correlation Time 0 Description: Change in the pink noise value; Pink noise is a first order exponential smoothing delay of the whitenoise input. Present In 1 View: Used By
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HeatPumpModel_v31 | #63 F,A |
Change in AC Noise 1 (1/Year) = ( White Noise 1- Autocorrelated Noise 1)/ Noise Correlation Time 1 Description: Change in the pink noise value; Pink noise is a first order exponential smoothing delay of the whitenoise input. Present In 1 View: Used By
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.housingagingchain v18 | #84 F,A |
Decrease in Code U (kBTU / (sf * Year * F) / Year) = Code U* Fractional Decrease in Code U Description: The change in code U from policy. Present In 1 View: Used By
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HeatPumpModel_v31 | #89 F,A |
Demolitions (House / Year) Demolitions[Cohort,Heating and Cooling System,Retrofitting Status] = Demolition Hazard Rate* Housing[ Cohort, Heating and Cooling System, Retrofitting Status]*(1- No Turnover Switch) Description: Homes that are destroyed every year. Present In 3 Views: Used By
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HeatPumpModel_v31 | #98 F,A |
Emissions (tCO2 / Year) = SUM( Emissions by Grouping[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: The total amount of emissions across all housing groups. Present In 2 Views: Used By
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HeatPumpModel_v31 | #160 F,A |
Houses Switching Sources (House / Year) Houses Switching Sources[Cohort,Heat Pump Heating and Cooling,Retrofitting Status,Heating and Cooling System] = Fraction of Houses Switching[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]* Houses Considering Switching System[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status]* System Switching SWITCH Houses Switching Sources[Cohort,Fossil Fuel Heating,Retrofitting Status,Heating and Cooling System] = Fraction of Houses Switching[ Cohort, Fossil Fuel Heating, Retrofitting Status, Heating and Cooling System]* Houses Considering Switching System[ Cohort, Fossil Fuel Heating, Retrofitting Status]* System Switching SWITCH Description: The number of houses switching Heating and Cooling Systems. The first heating and cooling system subscript is the system combination they're leaving, and the h & c system subscript is the combination they're entering. Present In 3 Views: Used By
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HeatPumpModel_v31 | #173 F,A |
Housing Starts (Houses / Year) Housing Starts[Cohort,Heating and Cooling System] = Housing Fractional Growth Rate*SUM( Housing[ Cohort!, Heating and Cooling System, Retrofitting Status!])* Active Cohort Indicator[ Cohort]*(1- No Turnover Switch) Description: Homes being built. Assumed to be equal to the total number of homes times a constant fractional growth rate and only homes that are not open to retrofits will be built. Present In 3 Views: Used By
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.housingagingchain v18 | #181 F,A |
Increase in U Value from Housing Starts (House * kBTU / (Year * F * sf) / Year) Increase in U Value from Housing Starts[Cohort,Heating and Cooling System] = Housing Starts[ Cohort, Heating and Cooling System]* U Value of Housing Starts[ Cohort, Heating and Cooling System] Description: New U value from new homes being built. Present In 1 View: Used By
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HeatPumpModel_v31 | #230 F,A |
Net Age Shift from Retrofitting Status Shifting (House * Year / Year) Net Age Shift from Retrofitting Status Shifting[Cohort] = SUM( Net Age Shift by System[ Cohort, Heating and Cooling System!]) Description: Shift in age within each cohort due to houses becoming open or closed to retrofitting. Present In 1 View: Used By
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HeatPumpModel_v31 | #232 F,A |
Net Area Shift due to Retrofit Status Switching (sf / Year) Net Area Shift due to Retrofit Status Switching[Cohort] = SUM( Net Area Shift by System[ Cohort, Heating and Cooling System!]) Description: Shift in area between energy sources due to houses switching sources. Present In 1 View: Used By
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HeatPumpModel_v31 | #233 F,A |
Net Change in Homes Retrofitting (Houses / Year) Net Change in Homes Retrofitting[Cohort,Heating and Cooling System] = ( Indicated Homes Retrofitting[ Cohort, Heating and Cooling System]- Housing[ Cohort, Heating and Cooling System,Open to Retrofitting])/ Time to Decide to Retrofit Description: Homes that are in the process of deciding to retrofit. Present In 3 Views: Used By
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HeatPumpModel_v31 | #234 F,A |
Net U Value Change from Retrofitting Home Shifts (House * kBTU / (Year * F * sf) / Year) Net U Value Change from Retrofitting Home Shifts[Cohort,Heating and Cooling System] = IF THEN ELSE( Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System]>0, U Value by Grouping[ Cohort, Heating and Cooling System,Not Open to Retrofitting]* Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System], U Value by Grouping[ Cohort, Heating and Cooling System,Open to Retrofitting]* Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System]) Description: Net change in U value due to homes becoming open or not to retrofitting. If net change is positive, then homes are going from not being open to retrofitting to being open, meaning non-retrofitting homes' U value is flowing into the retrofitting homes' U value. If net change is negative, then houses becoming less likely to retrofit. Present In 1 View: Used By
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HeatPumpModel_v31 | #288 F,A |
Retrofitting (House * kBTU / (sf * F* Year) / Year) Retrofitting[Cohort,Heating and Cooling System] = MAX(0, Housing[ Cohort, Heating and Cooling System,Open to Retrofitting]*( U Value by Grouping[ Cohort, Heating and Cooling System,Open to Retrofitting]- Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System])/ Retrofit Delay) Description: Energy use retrofitted away. If positive, this means that energy use is being retrofitted away. Present In 1 View: Used By
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HeatPumpModel_v31 | #331 F,A |
U Value Loss from Demolition (House * kBTU / (Year * F * sf) / Year) U Value Loss from Demolition[Cohort,Heating and Cooling System,Retrofitting Status] = U Value by Grouping[ Cohort, Heating and Cooling System, Retrofitting Status]* Demolitions[ Cohort, Heating and Cooling System, Retrofitting Status] Description: Homes' total energy use decrease from those homes being demolished. Present In 1 View: Used By
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HeatPumpModel_v31 | #335 F,A |
U Value Shift from Source Switching (House * kBTU / (Year * F * sf) / Year) U Value Shift from Source Switching[Cohort,Heat Pump Heating and Cooling,Heating and Cooling System,Retrofitting Status] = Houses Switching Sources[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]* U Value by Grouping[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status] U Value Shift from Source Switching[Cohort,Fossil Fuel Heating,Heating and Cooling System,Retrofitting Status] = Houses Switching Sources[ Cohort, Fossil Fuel Heating, Retrofitting Status, Heating and Cooling System]* U Value by Grouping[ Cohort, Fossil Fuel Heating, Retrofitting Status] Description: The shift in total U value coming from switching sources. Present In 2 Views: Used By
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Top | (Type) Auxiliary (202 Variables) | ||
Variable Name And Description | .housingagingchain v8 | #0 C |
Active Cohort Indicator (dmnl) Active Cohort Indicator[Cohort] = IF THEN ELSE(INTEGER(( Time- INITIAL TIME)/ Cohort Duration)+1= Cohort-ELMCOUNT( Preexisting Cohorts),1,0) Active Cohort Indicator[Preexisting Cohorts] = 0 Description: The model tracks housing by age, with a cohort representing all housing built between years t0 to t0+D, where t0 is the initial time and D is the width of each cohort (Cohort Duration). If Cohort Duration is 5 years, then the first cohort C1 accumulates all new housing built from t0 to t0+D, the second cohort, C2, accumulates all new housing built from t0+D to t0+2D, and the ith cohort accumulates all new housing built from t0 + iD to t0 + (i+1)D. Note that the INTEGER function rounds (t - t0)/D down, which requires adding 1 to activate the cohort with number corresponding to the value-if-true in the IF THEN ELSE function. Present In 1 View: Used By
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HeatPumpModel_v31 | #1 A |
Actual EEHIC Subsidy for Retrofits (Dollar / House) Actual EEHIC Subsidy for Retrofits[Cohort,Heating and Cooling System] = MIN( Unsubsidized Retrofit Cost[ Cohort, Heating and Cooling System]* Implemented EEHIC Subsidy Proportional Rate for Retrofits, Implemented EEHIC Maximum Subsidy for Retrofits) Description: The actual subsidy for retrofits by the Energy Efficiency Home Improvement Credit, not the expected value. Present In 1 View: Used By
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HeatPumpModel_v31 | #2 A |
Actual HOMES Subsidy for Retrofits (Dollar/ Home) Actual HOMES Subsidy for Retrofits[Cohort,Heating and Cooling System] = IF THEN ELSE( Energy Savings[ Cohort, Heating and Cooling System]< HOMES Cut Off for Savings, HOMES Implemented Lower Subsidy, HOMES Implemented High Subsidy) Description: The lump sum subsidy offered by the Home Owner Managing Energy Savings rebate (from the IRA), as opposed to the expected value. Present In 1 View: Used By
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HeatPumpModel_v31 | #3 A |
Actual MassSave Subsidy for Retrofits (Dollar / House) Actual MassSave Subsidy for Retrofits[Cohort,Heating and Cooling System] = MIN( Unsubsidized Retrofit Cost[ Cohort, Heating and Cooling System]* Implemented MassSave Subsidy Proportional Rate for Retrofits, Implemented MassSave Maximum Subsidy for Retrofits) Description: The actual subsidy offered for retrofits by MassSave, not the expected value. Present In 1 View: Used By
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.housingagingchain v15 | #4 A |
Additional Cost of Building to U Value (Dollar / sf) Additional Cost of Building to U Value[Cohort,Heating and Cooling System] = ((1- Expected MassSave Proportional Subsidy Rate for Retrofits)* Expected Reference Marginal Cost/(1- Sensitivity of Marginal Cost to U Value))*((( Reference U Value/ Code U)^ Sensitivity of Marginal Cost to U Value)* Code U-(( Reference U Value/ Optimal U for New Homes[ Cohort, Heating and Cooling System])^( Sensitivity of Marginal Cost to U Value))* Optimal U for New Homes[ Cohort, Heating and Cooling System])- Expected Lump Sum Subsidy Intensity[New Housing] Description: Assuming optimal U is lower than code U, additional cost of building to optimal U instead of code u. If this cost is negative and optimal U < code U, then building to optimal U is cheaper than building to code. Lump sum subsidies are assumed to only apply to houses that are built to be more energy efficient than code. Calculated using the same method as unsubsidized retrofit costs. Present In 1 View: Used By
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HeatPumpModel_v31 | #5 A |
Affinity of Heating and Cooling Systems (dmnl) Affinity of Heating and Cooling Systems[Cohort,Heat Pump Heating and Cooling,Retrofitting Status,Heating and Cooling System] = IF THEN ELSE( Cost of Switching Heating and Cooling Systems[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]>0,exp(- Sensitivity of Affinity to Cost* Cost of Switching Heating and Cooling Systems[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]/ Reference Lifetime Cost of Heating and Cooling Systems),0) Affinity of Heating and Cooling Systems[Cohort,Fossil Fuel Heating,Retrofitting Status,Heating and Cooling System] = IF THEN ELSE( Cost of Switching Heating and Cooling Systems[ Cohort, Fossil Fuel Heating, Retrofitting Status, Heating and Cooling System]>0,exp(- Sensitivity of Affinity to Cost* Cost of Switching Heating and Cooling Systems[ Cohort, Fossil Fuel Heating, Retrofitting Status, Heating and Cooling System]/ Reference Lifetime Cost of Heating and Cooling Systems),0) Description: The affinity of switching from each heating and cooling combination to each other one. If the model assumes that no one switches from one combination to another, as indicated by zero in the cost variable, then the affinity is zero. Present In 1 View: Used By
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HeatPumpModel_v31 | #6 A |
Affinity of Not Retrofitting (dmnl) Affinity of Not Retrofitting[Cohort,Heating and Cooling System] = exp(- Sensitivity of Retrofits to Cost* Perceived Cost of Not Retrofitting[ Cohort, Heating and Cooling System]/ Reference Retrofit Cost) Description: The affinity of not retrofitting; the utility or NPV of not retrofitting is just retrofit costs - energy costs saved. Present In 1 View: Used By
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.housingagingchain v4 testing | #7 A |
Affinity of Retrofitting (dmnl) Affinity of Retrofitting[Cohort,Heating and Cooling System] = exp(- Sensitivity of Retrofits to Cost* Perceived Cost of Retrofitting[ Cohort, Heating and Cooling System]/ Reference Retrofit Cost) Description: Affinity of retrofitting, where utility value is equal to its NPV. Present In 2 Views: Used By
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.housingagingchain v8 | #8 F,A |
Age Removal (House * Year /Year) Age Removal[Cohort,Retrofitting Status] = SUM( Demolitions[ Cohort, Heating and Cooling System!, Retrofitting Status])* Average Age[ Cohort, Retrofitting Status] Description: Total age lost as houses are destroyed, scrapped, etc. Present In 1 View: Used By
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.housingagingchain v8 | #10 F,A |
Aging (House * Year / Year) Aging[Cohort,Retrofitting Status] = Aging per Year*SUM( Housing[ Cohort, Heating and Cooling System!, Retrofitting Status]) Description: Amount of years added to the housing stocks' total age per year. Because houses age 1 year per year, this is simply 1 multplied by the number of houses per cohort. Present In 1 View: Used By
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.housingagingchain v15 | #12 A |
Amoritized Subsidized Retrofit Cost (Dollar / (House * Year)) Amoritized Subsidized Retrofit Cost[Cohort,Heating and Cooling System] = Subsidized Retrofit Cost[ Cohort, Heating and Cooling System]/ Amoritization Period Description: The incurred total retrofit cost amoritized over the specified amoritization period. Present In 3 Views: Used By
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HeatPumpModel_v31 | #13 F,A |
Annual Federal Subsidies (Dollar / Year) = Federal Annual Heat Pump Subsidy+ Federal Annual Retrofit Subsidy Description: The amount of money the federal government spends on subsidies for heat pumps and retrofits, each year. Present In 1 View: Used By
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HeatPumpModel_v31 | #14 F,A |
Annual Heat Pump Subsidy (Dollar / Year) = Federal Annual Heat Pump Subsidy+ Massachusetts Annual Heat Pumps Subsidy Description: The amount of money the government spends to subsidize heat pumps, including state and federal government. Present In 1 View: Used By
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HeatPumpModel_v31 | #15 A |
Annual Load from Heat Pumps (kBTU / Year) = SUM( Energy Use by Grouping[ Cohort!, Heat Pump Heating and Cooling!, Retrofitting Status!]) Description: The load on the electric grid from servicing heating and cooling demand from heat pumps, across the whole year. Present In 1 View: Used By
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HeatPumpModel_v31 | #16 F,A |
Annual MA Subsidies (Dollar / Year) = Massachusetts Annual Retrofit Subsidy+ Massachusetts Annual Heat Pumps Subsidy Description: The subsidies that the Massachusetts state government gives out per year for both retrofits and heat pumps. Present In 1 View: Used By
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HeatPumpModel_v31 | #17 F,A |
Annual Retrofit Subsidy (Dollar / Year) = Federal Annual Retrofit Subsidy+ Massachusetts Annual Retrofit Subsidy Description: The subsidies for retrofits paid out every year. Present In 1 View: Used By
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HeatPumpModel_v31 | #18 A |
Annual Subsidies (Dollar / Year) = Annual Heat Pump Subsidy+ Annual Retrofit Subsidy Description: The amount of subsidies spent on heat pumps and retrofits every year. Present In 1 View: Used By |
.housingagingchain v8 | #19 F,A |
Area of New Homes (sf / Year) Area of New Homes[Cohort] = Average Area of Housing Starts*SUM( Housing Starts[ Cohort, Heating and Cooling System!]) Description: The total Area added by the construction of new homes, by cohort. Present In 1 View: Used By
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.housingagingchain v8 | #20 F,A |
Area Removal (sf /Year) Area Removal[Cohort,Retrofitting Status] = Average Area[ Cohort, Retrofitting Status]*SUM( Demolitions[ Cohort, Heating and Cooling System!, Retrofitting Status]) Description: Total area lost as houses are destroyed, scrapped, etc. Present In 1 View: Used By
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.housingagingchain v8 | #26 A |
Average Age (Year) Average Age[Cohort,Retrofitting Status] = ZIDZ( Total Age[ Cohort, Retrofitting Status], Housing by Cohort and Retrofitting Status[ Cohort, Retrofitting Status]) Description: The age per house in each cohort and energy source. Assumes that age is constant across heating and cooling systems within each cohort and retrofitting status. Present In 1 View: Used By
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.housingagingchain v8 | #25 A |
Average Age in All Housing (Year) = ZIDZ(SUM( Total Age[ Cohort!, Retrofitting Status!]), Total Housing Stock) Description: Average age of houses, regardless of cohort Present In 2 Views: Used By |
HeatPumpModel_v31 | #29 A |
Average Area (sf / House) Average Area[Cohort,Retrofitting Status] = ZIDZ( Area[ Cohort, Retrofitting Status], Housing by Cohort and Retrofitting Status[ Cohort, Retrofitting Status]) Description: Average area by cohort and retrofitting status (assume it's the same across heating and cooling systems). Present In 7 Views:
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.housingagingchain v8 | #27 A |
Average Area in All Housing (sf/ House) = ZIDZ( Total Area, Total Housing Stock) Description: The average are of all houses, regardless of what group they're in. Present In 2 Views: Used By
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HeatPumpModel_v31 | #28 A |
Average Area of Housing Starts (sf / House) = Increase in Area per Year*( Time- INITIAL TIME)+ Initial Average Area of Housing Starts Description: The average area of housing starts. Present In 2 Views: Used By
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HeatPumpModel_v31 | #31 A |
Average Cooling Cost (Dollar / (Year * House)) Average Cooling Cost[Cohort,Heating and Cooling System,Retrofitting Status] = Expected Cooling Energy Price* Average Cooling Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status] Description: The average costs for keeping a home cool, by grouping. Present In 2 Views: Used By
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HeatPumpModel_v31 | #30 A |
Average Cooling Cost Across All Homes (Dollar / House/ Year) = Total Cooling Cost/SUM( Housing[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: The average cost to cool a home, for all cohorts and systems. Present In 1 View: Used By |
HeatPumpModel_v31 | #33 C |
Average Cooling Energy Use (kBTU / (Year * House)) Average Cooling Energy Use[Cohort,Heating and Cooling System,Retrofitting Status] = U Value by Grouping[ Cohort, Heating and Cooling System, Retrofitting Status]* Average Area[ Cohort, Retrofitting Status]* Cooling Degree Days/ Cooling System Efficiency[ Heating and Cooling System] Average Cooling Energy Use[Cohort,No AC Cooling,Retrofitting Status] = 0 Description: The average energy use for cooling. Calculated by setting efficiency times a house's cooling energy use equal to total cooling temperature differential (CDD), multiplied by U (or divided by R), and solving for energy use. Present In 3 Views: Used By
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HeatPumpModel_v31 | #32 A |
Average Cooling Energy Use Across All Homes (kBTU / Year / House) = ZIDZ( Total Cooling Energy Use, Total Housing Stock) Description: The amount of energy an average home spends on cooling, regardless of cohort, retrofit status, etc. Present In 1 View: Used By |
HeatPumpModel_v31 | #34 A |
Average Daily Load from Heat Pumps (kBTU / Day) = Annual Load from Heat Pumps/ Days per Year Description: The average load on the electric grid from heat pumps, per day. Present In 1 View: Used By |
HeatPumpModel_v31 | #39 A |
Average Emissions (tCO2 / House / Year) = ZIDZ( Emissions, Total Housing Stock) Description: The average CO2 emissions for a household, not disaggregated into any grouping. Present In 1 View: Used By |
HeatPumpModel_v31 | #35 A |
Average Emissions by Grouping (tCO2 / (Year * House)) Average Emissions by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = Average Emissions from Cooling by Grouping[ Cohort, Heating and Cooling System, Retrofitting Status]+ Average Emissions from Heating by Grouping[ Cohort, Heating and Cooling System, Retrofitting Status] Description: The total average emissions from heating and cooling, by cohort, retrofitting status, and Heating and Cooling System. Present In 2 Views: Used By
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HeatPumpModel_v31 | #36 A |
Average Emissions by Heating and Cooling System (tCO2 / Year / House) Average Emissions by Heating and Cooling System[Heating and Cooling System] = ZIDZ( Emissions by Heating and Cooling System[ Heating and Cooling System], Housing by Heating and Cooling System[ Heating and Cooling System]) Description: The average CO2 emissions for each house, by heating and cooling system. Present In 2 Views: Used By |
HeatPumpModel_v31 | #37 A |
Average Emissions from Cooling by Grouping (tCO2 / (House * Year)) Average Emissions from Cooling by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = Average Cooling Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status]* Cooling Emissions Factor/ Pounds per Ton Description: The GHG emissions from cooling the average home, by cohort, heating and cooling system, and retrofitting status. Present In 1 View: Used By
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HeatPumpModel_v31 | #38 A |
Average Emissions from Heating by Grouping (tCO2 / (House * Year)) Average Emissions from Heating by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = Average Heating Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status]* Heating Emissions Factors[ Heating and Cooling System]/ Pounds per Ton Description: Disaggregated carbon dioxide emissions from heating for each house, by cohort, retrofitting status, etc. Present In 1 View: Used By
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HeatPumpModel_v31 | #40 A |
Average Energy Cost (Dollar / (Year * House)) Average Energy Cost[Cohort,Heating and Cooling System,Retrofitting Status] = Average Cooling Cost[ Cohort, Heating and Cooling System, Retrofitting Status]+ Average Heating Cost[ Cohort, Heating and Cooling System, Retrofitting Status] Description: The average cost of both heating and cooling a home, by grouping. Present In 2 Views: Used By
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.housingagingchain v15 | #41 A |
Average Energy Costs for Retrofitting Home (Dollar / Year / House) Average Energy Costs for Retrofitting Home[Cohort,Heating and Cooling System] = Average Energy Cost[ Cohort, Heating and Cooling System,Open to Retrofitting] Description: Heating costs for each home open to retrofitting, annually, if no further retrofit measures are undertaken. Present In 2 Views: Used By
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.housingagingchain v8 | #42 A |
Average Energy Costs if Retrofitted (Dollar/(Year*House)) Average Energy Costs if Retrofitted[Cohort,Heating and Cooling System] = Optimal Energy Cost[ Cohort, Heating and Cooling System,Open to Retrofitting] Description: Energy costs per year for each retrofitting house if homes retrofit to the optimal U value. Present In 2 Views: Used By
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HeatPumpModel_v31 | #45 A |
Average Energy Use (kBTU / (Year * House)) Average Energy Use[Cohort,Heating and Cooling System,Retrofitting Status] = Average Heating Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status]+ Average Cooling Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status] Description: Average energy use to both heat and cool a home. Present In 2 Views: Used By
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HeatPumpModel_v31 | #43 A |
Average Energy Use by Heating and Cooling System (kBTU / (House * Year)) Average Energy Use by Heating and Cooling System[Heating and Cooling System] = ZIDZ(SUM( Energy Use by Grouping[ Cohort!, Heating and Cooling System, Retrofitting Status!]),SUM( Housing[ Cohort!, Heating and Cooling System, Retrofitting Status!])) Description: The average energy use for each home by heating and cooling system. Present In 1 View: Used By |
HeatPumpModel_v31 | #44 A |
Average Energy Use in All Housing (kBTU / Year / House) = Total Energy Use/ Total Housing Stock Description: The average energy use across all stocks. Present In 1 View: Used By
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HeatPumpModel_v31 | #46 A |
Average EUI by Grouping (kBTU / (sf * Year)) Average EUI by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = XIDZ( Average Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status], Average Area[ Cohort, Retrofitting Status], NAREPLACEMENT) Description: The average energy use intensity by grouping Present In 1 View: Used By |
HeatPumpModel_v31 | #47 A |
Average EUI in All Housing (kBTU / (sf * Year)) = Average Energy Use in All Housing/ Average Area in All Housing Description: The average energy use intensity across all housing. Present In 1 View: Used By |
.housingagingchain v5 testing | #49 A |
Average Heating Cost (Dollar / (Year * House)) Average Heating Cost[Cohort,Heating and Cooling System,Retrofitting Status] = Expected Heating Energy Price[ Heating and Cooling System]* Average Heating Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status] Description: The costs per year to heat one house. Present In 2 Views: Used By
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HeatPumpModel_v31 | #48 A |
Average Heating Cost Across All Homes (Dollar / Year / House) = ZIDZ( Total Heating Cost,SUM( Housing[ Cohort!, Heating and Cooling System!, Retrofitting Status!])) Description: The average amount a home spends on heating, regardless of cohort or heating and cooling system. Present In 1 View: Used By |
HeatPumpModel_v31 | #51 A |
Average Heating Energy Use (kBTU / (Year * House)) Average Heating Energy Use[Cohort,Heating and Cooling System,Retrofitting Status] = U Value by Grouping[ Cohort, Heating and Cooling System, Retrofitting Status]* Average Area[ Cohort, Retrofitting Status]* Heating Degree Days/ Heating System Efficiency[ Heating and Cooling System] Description: The average energy use for heating annually. Calculated by setting efficiency times energy use equal to total HDD, multiplied by U (or divided by R) and divided by year (to get annual use), and solving for energy use. Present In 3 Views: Used By
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HeatPumpModel_v31 | #50 A |
Average Heating Energy Use Across All Homes (kBTU / (Year * House)) = ZIDZ( Total Heating Energy Use, Total Housing Stock) Description: The average heating energy use per home, regardless of cohort, system,etc. Present In 1 View: Used By |
HeatPumpModel_v31 | #53 A |
Average Indicated Fraction of Homes Retrofitting (dmnl) = SUM( Indicated Homes Retrofitting[ Cohort!, Heating and Cooling System!])/ Total Housing Stock Description: The average fraction of homes that will retrofit retrofitting after decision delayacross all housing. Present In 2 Views: Used By |
HeatPumpModel_v31 | #56 A |
Average Subsidized Retrofit Cost (Dollar / House) = SUM( Housing[ Cohort!, Heating and Cooling System!,Open to Retrofitting]* Subsidized Retrofit Cost[ Cohort!, Heating and Cooling System!])/SUM( Housing[ Cohort!, Heating and Cooling System!,Open to Retrofitting]) Description: The average subsidized retrofit cost across all houses. Present In 1 View: Used By |
HeatPumpModel_v31 | #58 A |
Average U Value by Heating and Cooling System (kBTU / (sf * F * Year)) Average U Value by Heating and Cooling System[Heating and Cooling System] = ZIDZ( Total U Value by Heating and Cooling System[ Heating and Cooling System], Housing by Heating and Cooling System[ Heating and Cooling System]) Description: The U value of the average house using each heating and cooling system. Present In 1 View: Used By |
.housingagingchain v4 testing | #59 A |
Average U Value in All Housing (kBTU / (sf * F * Year)) = ZIDZ( Total U Value Across All Groupings, Total Housing Stock) Description: The average U Value over the entire housing stock, not disaggregated by any groupings. Present In 1 View: Used By |
HeatPumpModel_v31 | #60 A |
Average U Value of Houses Switching Into Sources (kBTU / (sf * F * Year)) Average U Value of Houses Switching Into Sources[Heating and Cooling System] = XIDZ( U Value Increase from Source Switching[ Heating and Cooling System], Houses Switching Into Sources[ Heating and Cooling System], NAREPLACEMENT) Description: The average U value of houses switching into each source, for each source. Present In 1 View: Used By |
.housingagingchain v8 | #64 F,A |
Change in AC Noise (1/Year) = ( White Noise- Autocorrelated Noise)/ Noise Correlation Time Description: Change in the pink noise value; Pink noise is a first order exponential smoothing delay of the whitenoise input. Present In 1 View: Used By
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.housingagingchain v8 | #62 F,A |
Change in AC Noise 0 (1/Year) = ( White Noise 0- Autocorrelated Noise 0)/ Noise Correlation Time 0 Description: Change in the pink noise value; Pink noise is a first order exponential smoothing delay of the whitenoise input. Present In 1 View: Used By
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HeatPumpModel_v31 | #63 F,A |
Change in AC Noise 1 (1/Year) = ( White Noise 1- Autocorrelated Noise 1)/ Noise Correlation Time 1 Description: Change in the pink noise value; Pink noise is a first order exponential smoothing delay of the whitenoise input. Present In 1 View: Used By
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HeatPumpModel_v31 | #70 A |
Cooling Energy Price (Dollar / kBTU) = Initial Cooling Energy Price* Input 1 Description: Price of cooling a home (through air conditioning), subject to the test input. Present In 3 Views: Used By
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HeatPumpModel_v31 | #71 A |
Cooling Energy Use Under Alternatives (kBTU / (House * Year)) Cooling Energy Use Under Alternatives[Cohort,Heat Pump Heating and Cooling,Not Open to Retrofitting,Heating and Cooling System] = U Value by Grouping[ Cohort, Heat Pump Heating and Cooling,Not Open to Retrofitting]* Average Area[ Cohort,Not Open to Retrofitting]* Cooling Degree Days/ Cooling System Efficiency[ Heating and Cooling System] Cooling Energy Use Under Alternatives[Cohort,Traditional Cooling,Not Open to Retrofitting,Heating and Cooling System] = U Value by Grouping[ Cohort, Traditional Cooling,Not Open to Retrofitting]* Average Area[ Cohort,Not Open to Retrofitting]* Cooling Degree Days/ Cooling System Efficiency[ Heating and Cooling System] Cooling Energy Use Under Alternatives[Cohort,Heating and Cooling System,Retrofitting Status,No AC Cooling] = 0 Cooling Energy Use Under Alternatives[Cohort,Heat Pump Heating and Cooling,Open to Retrofitting,Heating and Cooling System] = MIN( U Value by Grouping[ Cohort, Heat Pump Heating and Cooling,Open to Retrofitting], Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System])* Average Area[ Cohort,Open to Retrofitting]* Cooling Degree Days/ Cooling System Efficiency[ Heating and Cooling System] Cooling Energy Use Under Alternatives[Cohort,Fossil Fuel Heating,Open to Retrofitting,Heating and Cooling System] = MIN( U Value by Grouping[ Cohort, Fossil Fuel Heating,Open to Retrofitting], Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System])* Average Area[ Cohort,Open to Retrofitting]* Cooling Degree Days/ Cooling System Efficiency[ Heating and Cooling System] Description: The cooling energy use of each group, if they were to switch into another heating and cooling source. That is, when they switch, their area and U stays the same, but the energy system's efficiency may change, meaning that each grouping (the first "Heating and Cooling System" subscript) must consider their cooling energy use under alternative systems (the second "Heating and Cooling Source" subscript).Houses that are open to retrofitting consider the optimal U that they'll retrofit to, unless that U is actually greater than their current one. Present In 1 View: Used By
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HeatPumpModel_v31 | #72 A |
Cooling System Efficiency (dmnl) Cooling System Efficiency[Heat Pump Heating and Cooling] = Heat Pump Cooling COP TABLE( Time) Cooling System Efficiency[Central AC Cooling] = 2.93 Cooling System Efficiency[Window AC Cooling] = 2.49* Effect of Air Leakage from Window AC on Efficiency Cooling System Efficiency[No AC Cooling] = NAREPLACEMENT Description: The COP of different air conditioning technologies on an average day. This is not in terms of energy efficiency rating or seasonal efficiency rating, although some are calculated from those figures.For central ac: assume value of tenFor window AC (under portable AC): https://learnmetrics.com/eer-rating/All are very rough, and non-heat pump cooling systems are assumed to have constant efficiency. Present In 4 Views: Used By
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HeatPumpModel_v31 | #74 C |
Cost of Cooling System Replacement (Dollar / House) Cost of Cooling System Replacement[Heat Pump Heating and Cooling] = Subsidized Cost of Heat Pumps Cost of Cooling System Replacement[Central AC Cooling] = 5800 Cost of Cooling System Replacement[Window AC Cooling] = 1600 Cost of Cooling System Replacement[No AC Cooling] = 0 Description: The cost of installing a cooling system in each house. Assumed to be constant, except for heat pumps.Central AC cost from: https://www.angi.com/articles/how-much-does-installing-new-ac-cost.htmWindow AC cost from: https://homeguide.com/costs/window-ac-unit-cost Present In 1 View: Used By
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HeatPumpModel_v31 | #75 C |
Cost of Heating System Replacement (Dollar / House ) Cost of Heating System Replacement[Heat Pump Heating and Cooling] = Subsidized Cost of Heat Pumps Cost of Heating System Replacement[Gas Heating] = 10000 Cost of Heating System Replacement[Oil Heating] = 7450 Description: The cost of buying and installing a heating system in each house.Took upper limits of estimates for each, since MA tends to be a more expensive state.Oil and gas cost assumed to be constant.Initial heat pump cost is from: https://www.masssave.com/en/residential/rebates-and-incentives/heating-and-cooling/heat-pumps/air-source-heat-pumps, and then I assume that the cost improves in proportion to the trajectory in Mass. gov's deep decarbonization report:Gas furnace cost from: https://www.angi.com/articles/common-gas-furnace-prices.htmOil furnace cost from: https://modernize.com/hvac/heating-repair-installation/furnace/oil Present In 1 View: Used By
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HeatPumpModel_v31 | #81 A |
Cumulative Subsidies (Dollar) = Cumulative Subsidy for Retrofits+ Cumulative Subsidies for Heat Pumps Description: The amount spent on subsidies for both heat pumps and retrofits by both since state and federal governments the beginning of the model run. Present In 1 View: Used By |
.housingagingchain v18 | #84 F,A |
Decrease in Code U (kBTU / (sf * Year * F) / Year) = Code U* Fractional Decrease in Code U Description: The change in code U from policy. Present In 1 View: Used By
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HeatPumpModel_v31 | #89 F,A |
Demolitions (House / Year) Demolitions[Cohort,Heating and Cooling System,Retrofitting Status] = Demolition Hazard Rate* Housing[ Cohort, Heating and Cooling System, Retrofitting Status]*(1- No Turnover Switch) Description: Homes that are destroyed every year. Present In 3 Views: Used By
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HeatPumpModel_v31 | #91 A |
EEHIC Expected Subsidy for Retrofits (Dollar / House) EEHIC Expected Subsidy for Retrofits[Cohort,Heating and Cooling System,Retrofitting Status] = MIN( Proportional Subsidy Switch for Retrofits* Expected EEHIC Proportional Subsidy Rate for Retrofits* Unsubsidized Retrofit Cost Intensity[ Cohort, Heating and Cooling System]* Average Area[ Cohort, Retrofitting Status], Expected EEHIC Maximum Subsidy for Retrofits) Description: The proportional subsidy offered against the retrofit cost intensity, taking into account whether it has gone into effect, from the Energy Efficient Home Improvement Credit. Present In 1 View: Used By
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HeatPumpModel_v31 | #98 F,A |
Emissions (tCO2 / Year) = SUM( Emissions by Grouping[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: The total amount of emissions across all housing groups. Present In 2 Views: Used By
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HeatPumpModel_v31 | #96 A |
Emissions by Grouping (tCO2 / Year) Emissions by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = Housing[ Cohort, Heating and Cooling System, Retrofitting Status]* Average Emissions by Grouping[ Cohort, Heating and Cooling System, Retrofitting Status] Description: The total emissions for the most disaggregated grouping in the model. Present In 2 Views: Used By
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HeatPumpModel_v31 | #97 A |
Emissions by Heating and Cooling System (tCO2 / Year) Emissions by Heating and Cooling System[Heating and Cooling System] = SUM( Emissions by Grouping[ Cohort!, Heating and Cooling System, Retrofitting Status!]) Description: The total amount of emissions for houses by Heating and Cooling System. Present In 1 View: Used By
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HeatPumpModel_v31 | #106 A |
Energy Savings (dmnl) Energy Savings[Cohort,Heating and Cooling System] = MAX(0,ABS(ZIDZ(( Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System]- U Value by Grouping[ Cohort, Heating and Cooling System,Open to Retrofitting]), U Value by Grouping[ Cohort, Heating and Cooling System,Open to Retrofitting]))) Description: The amount of energy savings that not refitting houses would achieve if they were to retrofit. Because we assume area, HDD, and efficiency stay the same before and after retrofitting, this saving is solely from changing the U value. Present In 2 Views: Used By
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HeatPumpModel_v31 | #107 A |
Energy Use by Gas Houses (kBTU/ Year) = SUM( Energy Use by Grouping[ Cohort!,Gas and Central AC, Retrofitting Status!])+SUM( Energy Use by Grouping[ Cohort!,Gas and Window AC, Retrofitting Status!])+SUM( Energy Use by Grouping[ Cohort!,Gas and No AC, Retrofitting Status!]) Description: The total amount of energy for heating and cooling used by homes which primarily use gas to heat their homes. Present In 1 View: Used By |
HeatPumpModel_v31 | #108 A |
Energy Use by Grouping (kBTU / Year) Energy Use by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = Average Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status]* Housing[ Cohort, Heating and Cooling System, Retrofitting Status] Description: The total amount of energy used for heating and cooling in each group. Present In 2 Views: Used By
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HeatPumpModel_v31 | #109 A |
Energy Use by Heat Pump Houses (kBTU / Year) = SUM( Energy Use by Grouping[ Cohort!,Heat Pump Only, Retrofitting Status!])+SUM( Energy Use by Grouping[ Cohort!,Heat Pump and Gas, Retrofitting Status!])+SUM( Energy Use by Grouping[ Cohort!,Heat Pump and Oil, Retrofitting Status!]) Description: The amount of energy used for heating and cooling by homes which primarily use heat pumps to heat their home. Present In 1 View: Used By |
HeatPumpModel_v31 | #110 A |
Energy Use by Oil Houses (kBTU / Year) = SUM( Energy Use by Grouping[ Cohort!,Oil and Central AC, Retrofitting Status!])+SUM( Energy Use by Grouping[ Cohort!,Oil and Window AC, Retrofitting Status!])+SUM( Energy Use by Grouping[ Cohort!,Oil and No AC, Retrofitting Status!]) Description: The total amount of energy for heating and cooling used by homes primarily using oil to heat their home. Present In 1 View: Used By |
HeatPumpModel_v31 | #111 SM,A |
Expected Cooling Energy Price (Dollar / kBTU) = SMOOTH3( Cooling Energy Price, Delay in Forming Expectations of Energy Price) Description: Energy price for one kBTU of cooling used to calculate optimal U value. Third order exponential smoothing of cooling energy price. Present In 4 Views: Used By
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HeatPumpModel_v31 | #112 SM,A |
Expected EEHIC Maximum Subsidy for Retrofits (Dollar / House) = SMOOTH3( Implemented EEHIC Maximum Subsidy for Retrofits, Delay in Changing Subsidy Expectations) Description: Expected maximum proportional subsidy that lowers subsidized retrofit costs from the Energy Efficiency Home Improvement Credit, taking into account information delays. Present In 2 Views: Used By
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HeatPumpModel_v31 | #113 SM,A |
Expected EEHIC Proportional Subsidy Rate for Retrofits (dmnl) = SMOOTH3( Implemented EEHIC Subsidy Proportional Rate for Retrofits, Delay in Changing Subsidy Expectations)* Proportional Subsidy Switch for Retrofits Description: Expected proportional subsidy rate that lowers subsidized retrofit costs, taking into account information delays. Present In 2 Views: Used By
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.housingagingchain v15 | #114 SM,A |
Expected Fixed Cost (Dollar / House) = SMOOTH( Fixed Cost, Delay in Forming Expectations of Retrofit Costs) Description: Fixed cost used in calculating optimal EUI. Third order exponential smoothing of fixed cost. Present In 2 Views: Used By
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.housingagingchain v15 | #115 SM,A |
Expected Heating Energy Price (Dollar / kBTU) Expected Heating Energy Price[Heating and Cooling System] = SMOOTH3( Heating Energy Price[ Heating and Cooling System], Delay in Forming Expectations of Energy Price) Description: Energy price for one kBTU of heating used to calculate optimal U value. Third order exponential smoothing of heating energy price. Present In 6 Views:
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HeatPumpModel_v31 | #116 SM,A |
Expected IRA Proportional Subsidy Rate for Heat Pumps (dmnl) = SMOOTH3( IRA Implemented Subsidy Proportional Rate for Heat Pumps, Delay in Changing Subsidy Expectations)* Proportional IRA Subsidy Switch for Heat Pumps Description: Expected proportional subsidy rate that lowers subsidized retrofit costs, taking into account information delays. Present In 1 View: Used By
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.housingagingchain v15 | #117 A |
Expected Lump Sum Subsidy Intensity (Dollar / sf) Expected Lump Sum Subsidy Intensity[Retrofit Cost] = HOMES Expected Lower Lump Sum Subsidy/ Average Area of Housing Starts Description: Lump sum subsidy for retrofits per square foot. Present In 1 View: Used By
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.housingagingchain v15 | #118 SM,A |
Expected MassSave Maximum Subsidy for Retrofits (Dollar / House) = SMOOTH3( Implemented MassSave Maximum Subsidy for Retrofits, Delay in Changing Subsidy Expectations) Description: Expected maximum proportional subsidy that lowers subsidized retrofit costs, taking into account information delays. Present In 1 View: Used By
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.housingagingchain v15 | #119 SM,A |
Expected MassSave Proportional Subsidy Rate for Retrofits (dmnl) = SMOOTH3( Implemented MassSave Subsidy Proportional Rate for Retrofits, Delay in Changing Subsidy Expectations)* Proportional Subsidy Switch for Retrofits Description: Expected proportional subsidy rate that lowers subsidized retrofit costs, taking into account information delays. Present In 4 Views:
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HeatPumpModel_v31 | #120 SM,A |
Expected Maximum IRA Proportional Subsidy for Heat Pumps (Dollar / House) = SMOOTH3( Implemented IRA Maximum Proportional Subsidy for Heat Pumps, Delay in Changing Subsidy Expectations) Description: Expected maximum proportional subsidy that lowers subsidized retrofit costs, taking into account information delays. Present In 1 View: Used By
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.housingagingchain v15 | #121 SM,A |
Expected Reference Marginal Cost ((Dollar / sf) / (kBTU / (sf * Year * F))) = SMOOTH( Reference Marginal Cost, Delay in Forming Expectations of Retrofit Costs) Description: Reference marginal cost used in calculating optimal U value. Third order exponential smoothing of reference marginal cost. Present In 4 Views:
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HeatPumpModel_v31 | #122 A |
Expected Subsidy for Heat Pumps (Dollar / House) = MassSave Expected Lump Sum Subsidy for Heat Pumps+ IRA Expected Proportional Subsidy for Heat Pumps Description: Total subsidy offered against retrofit cost across both lump sum and proportional subsidies. Present In 2 Views: Used By
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.housingagingchain v15 | #123 A |
Expected Subsidy for Retrofits (Dollar / House) Expected Subsidy for Retrofits[Cohort,Heating and Cooling System,Retrofitting Status] = IF THEN ELSE( Energy Savings[ Cohort, Heating and Cooling System]>= HOMES Cut Off for Savings, HOMES Expected Higher Subsidy, HOMES Expected Lower Lump Sum Subsidy)+ MassSave Expected Subsidy for Retrofits[ Cohort, Heating and Cooling System, Retrofitting Status]+ EEHIC Expected Subsidy for Retrofits[ Cohort, Heating and Cooling System, Retrofitting Status] Description: Total subsidy offered against retrofit cost across both lump sum and proportional subsidy. Present In 4 Views:
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HeatPumpModel_v31 | #124 A |
Federal Annual Heat Pump Subsidy (Dollar / Year) = Total Heat Pump Sales* IRA Actual Subsidy for Heat Pumps Description: The amount of subsidies the federal government spends on heat pumps through the Inflation Reduction Act every year. Present In 1 View: Used By
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HeatPumpModel_v31 | #125 A |
Federal Annual Retrofit Subsidy (Dollar / Year) = SUM(( Actual EEHIC Subsidy for Retrofits[ Cohort!, Heating and Cooling System!]+ Actual HOMES Subsidy for Retrofits[ Cohort!, Heating and Cooling System!])* Houses Retrofitting per Year[ Cohort!, Heating and Cooling System!]) Description: The amount of federal subsidies spent by the federal government, through the IRA. Present In 1 View: Used By
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.housingagingchain v5 testing | #127 A |
Fixed Cost per Unit Area (Dollar / sf) Fixed Cost per Unit Area[Cohort] = ZIDZ( Expected Fixed Cost, Average Area[ Cohort,Open to Retrofitting]) Description: The fixed cost (which is constant) per square foot for an average house that is open to retrofitting. Present In 2 Views: Used By
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HeatPumpModel_v31 | #129 A |
Fraction of Houses in Each Heating and Cooling System (dmnl) Fraction of Houses in Each Heating and Cooling System[Heating and Cooling System] = XIDZ( Housing by Heating and Cooling System[ Heating and Cooling System], Total Housing Stock, NAREPLACEMENT) Description: The fraction of houses using each heating and cooling system Present In 1 View: Used By |
.housingagingchain v5 testing | #130 A |
Fraction of Houses Switching (dmnl) Fraction of Houses Switching[Cohort,Heat Pump Heating and Cooling,Retrofitting Status,Heating and Cooling System] = Affinity of Heating and Cooling Systems[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]/SUM( Affinity of Heating and Cooling Systems[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System!]) Fraction of Houses Switching[Cohort,Gas Heating,Retrofitting Status,Heating and Cooling System] = Affinity of Heating and Cooling Systems[ Cohort, Gas Heating, Retrofitting Status, Heating and Cooling System]/SUM( Affinity of Heating and Cooling Systems[ Cohort, Gas Heating, Retrofitting Status, Heating and Cooling System!]) Fraction of Houses Switching[Cohort,Oil Heating,Retrofitting Status,Heating and Cooling System] = Affinity of Heating and Cooling Systems[ Cohort, Oil Heating, Retrofitting Status, Heating and Cooling System]/SUM( Affinity of Heating and Cooling Systems[ Cohort, Oil Heating, Retrofitting Status, Heating and Cooling System!]) Description: Fraction of houses considering switching switching from one to another. We also model "switching" from one system to the same system, as we keep track of total heat pump sales. Present In 2 Views: Used By
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HeatPumpModel_v31 | #131 A |
Fraction of Housing by Heating and Cooling System (dmnl) Fraction of Housing by Heating and Cooling System[Heating and Cooling System] = Housing by Heating and Cooling System[ Heating and Cooling System]/ Total Housing Stock Description: The fraction of the total housing stock using each heating and cooling system. Present In 1 View: Used By |
HeatPumpModel_v31 | #134 A |
Fraction Retrofitting (dmnl) = Housing by Retrofitting Status[Open to Retrofitting]/( Housing by Retrofitting Status[Not Open to Retrofitting]+ Housing by Retrofitting Status[Open to Retrofitting]) Description: Proportion of housing that is open to retrofitting, across all cohorts and systems. Present In 1 View: Used By |
HeatPumpModel_v31 | #132 LI,A |
Fraction Retrofitting by Cohort (dmnl) Fraction Retrofitting by Cohort[Cohort] = ZIDZ(SUM( Housing[ Cohort, Heating and Cooling System!,Open to Retrofitting]),SUM( Housing[ Cohort, Heating and Cooling System!, Retrofitting Status!])) Description: Fraction that are retrofitting, only by cohort. Present In 2 Views: Used By
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HeatPumpModel_v31 | #133 A |
Fraction Retrofitting by System and Cohort (dmnl) Fraction Retrofitting by System and Cohort[Cohort,Heating and Cooling System] = ZIDZ( Housing[ Cohort, Heating and Cooling System,Open to Retrofitting],SUM( Housing[ Cohort, Heating and Cooling System, Retrofitting Status!])) Description: The fraction of houses that are retrofitting, by heating/cooling system and cohort. Present In 1 View: Used By |
.housingagingchain v5 testing | #143 A |
Heating Energy Price (Dollar / (kBTU)) Heating Energy Price[Heating and Cooling System] = Initial Heating Energy Price[ Heating and Cooling System]* Input 0 Description: The price to heat a home (which in this model we assume can only have one size) 1 kBTU, multiplied by the test input. Present In 6 Views:
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HeatPumpModel_v31 | #144 A |
Heating Energy Use Under Alternatives (kBTU / (House * Year)) Heating Energy Use Under Alternatives[Cohort,Heat Pump Heating and Cooling,Not Open to Retrofitting,Heating and Cooling System] = U Value by Grouping[ Cohort, Heat Pump Heating and Cooling,Not Open to Retrofitting]* Average Area[ Cohort,Not Open to Retrofitting]* Heating Degree Days/ Heating System Efficiency[ Heating and Cooling System] Heating Energy Use Under Alternatives[Cohort,Fossil Fuel Heating,Not Open to Retrofitting,Heating and Cooling System] = U Value by Grouping[ Cohort, Fossil Fuel Heating,Not Open to Retrofitting]* Average Area[ Cohort,Not Open to Retrofitting]* Heating Degree Days/ Heating System Efficiency[ Heating and Cooling System] Heating Energy Use Under Alternatives[Cohort,Heat Pump Heating and Cooling,Open to Retrofitting,Heating and Cooling System] = MIN( U Value by Grouping[ Cohort, Heat Pump Heating and Cooling,Open to Retrofitting], Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System])* Average Area[ Cohort,Open to Retrofitting]* Heating Degree Days/ Heating System Efficiency[ Heating and Cooling System] Heating Energy Use Under Alternatives[Cohort,Fossil Fuel Heating,Open to Retrofitting,Heating and Cooling System] = MIN( U Value by Grouping[ Cohort, Fossil Fuel Heating,Open to Retrofitting], Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System])* Average Area[ Cohort,Open to Retrofitting]* Heating Degree Days/ Heating System Efficiency[ Heating and Cooling System] Description: The heating energy use of each group, if they were to switch into another Heating and Cooling System. That is, when they switch, their area and U stays the same, but the energy system's efficiency may change, meaning that each grouping (the first "Heating and Cooling System" subscript) must consider their heating energy use under alternative systems (the second "Heating and Cooling System" subscript). Houses about to retrofit use the U value that they will retrofit too; using their current U-value that they'll retrofit away from is too short cited. Present In 1 View: Used By
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HeatPumpModel_v31 | #145 A |
Heating System Efficiency (dmnl) Heating System Efficiency[Heat Pump Heating and Cooling] = Heat Pump Heating COP TABLE( Time) Heating System Efficiency[Gas Heating] = Gas COP TABLE( Time) Heating System Efficiency[Oil Heating] = Oil COP TABLE( Time) Description: The COP (for heat pumps) or annual fuel utilization efficiency of heating systems. Varies over time. Present In 3 Views: Used By
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HeatPumpModel_v31 | #148 SM,A |
HOMES Expected Higher Subsidy (Dollar / House) = SMOOTH3( HOMES Implemented High Subsidy, Delay in Changing Subsidy Expectations) Description: Expected lump sum subsidy that lowers subsidized retrofit costs, taking into account information delays. This is for homes that save more than 35% of energy Present In 1 View: Used By
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.housingagingchain v15 | #149 SM,A |
HOMES Expected Lower Lump Sum Subsidy (Dollar / House) = SMOOTH3( HOMES Implemented Lower Subsidy, Delay in Changing Subsidy Expectations) Description: Expected lump sum subsidy that lowers subsidized retrofit costs, taking into account information delays. Present In 3 Views: Used By
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HeatPumpModel_v31 | #151 A |
HOMES Implemented High Subsidy (Dollar / House) = IF THEN ELSE( Time>= HOMES Subsidy Implementation Year:AND: Time<= HOMES Subsidy Final Year, HOMES High Subsidy Amount,0) Description: Implemented higher subsidy from the HOMES rebate program. Present In 2 Views: Used By
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.housingagingchain v15 | #152 A |
HOMES Implemented Lower Subsidy (Dollar / House) = IF THEN ELSE( Time>= HOMES Subsidy Implementation Year:AND: Time<= HOMES Subsidy Final Year, HOMES Lower Subsidy Amount,0) Description: Lump sum subsidy that is actually implemented. Equal to zero before implementation year and to lump sum subsidy after implementation year. Present In 2 Views: Used By
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HeatPumpModel_v31 | #156 A |
Houses Considering Switching System (Houses / Year) Houses Considering Switching System[Cohort,Heating and Cooling System,Retrofitting Status] = Housing[ Cohort, Heating and Cooling System, Retrofitting Status]/ Average Time To Consider Switching Description: The number of houses per year considering switching their heating and cooling system. Present In 1 View: Used By
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HeatPumpModel_v31 | #158 A |
Houses Retrofitting (Houses) Houses Retrofitting[Cohort,Heating and Cooling System] = Housing[ Cohort, Heating and Cooling System,Open to Retrofitting] Description: Total amount of houses retrofitting in each cohort and heating and cooling system. Present In 1 View: Used By |
HeatPumpModel_v31 | #157 A |
Houses Retrofitting per Year (House / Year) Houses Retrofitting per Year[Cohort,Heating and Cooling System] = IF THEN ELSE( Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System]< U Value by Grouping[ Cohort, Heating and Cooling System,Open to Retrofitting], Housing[ Cohort, Heating and Cooling System,Open to Retrofitting]/ Retrofit Delay,0) Description: The number of homes retrofitting per year. This is an approximation because the number of homes actively retrofitting is equal to the number of homes open to retrofitting only if their average U value is less than optimal U. Assumes that if, say, the retrofitting delay is 5 years, then on average 20% of homes are retrofitting every year. Present In 1 View: Used By
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HeatPumpModel_v31 | #159 A |
Houses Switching Into Sources (Houses / Year) Houses Switching Into Sources[Heating and Cooling System] = SUM( Houses Switching Sources[ Cohort!, Heating and Cooling System!, Retrofitting Status!, Heating and Cooling System]) Description: The number of houses switching into each Heating and Cooling System, cohort, and retrofitting group due to system switching. Present In 1 View: Used By
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HeatPumpModel_v31 | #160 F,A |
Houses Switching Sources (House / Year) Houses Switching Sources[Cohort,Heat Pump Heating and Cooling,Retrofitting Status,Heating and Cooling System] = Fraction of Houses Switching[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]* Houses Considering Switching System[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status]* System Switching SWITCH Houses Switching Sources[Cohort,Fossil Fuel Heating,Retrofitting Status,Heating and Cooling System] = Fraction of Houses Switching[ Cohort, Fossil Fuel Heating, Retrofitting Status, Heating and Cooling System]* Houses Considering Switching System[ Cohort, Fossil Fuel Heating, Retrofitting Status]* System Switching SWITCH Description: The number of houses switching Heating and Cooling Systems. The first heating and cooling system subscript is the system combination they're leaving, and the h & c system subscript is the combination they're entering. Present In 3 Views: Used By
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HeatPumpModel_v31 | #163 A |
Housing by Cohort (House) Housing by Cohort[Cohort] = SUM( Housing[ Cohort, Heating and Cooling System!, Retrofitting Status!]) Description: Number of houses per cohort Present In 1 View: Used By |
HeatPumpModel_v31 | #161 A |
Housing by Cohort and Heating and Cooling System (Houses) Housing by Cohort and Heating and Cooling System[Cohort,Heating and Cooling System] = SUM( Housing[ Cohort, Heating and Cooling System, Retrofitting Status!]) Description: Housing by heating and cooling system and cohort, irrespective of retrofit status. Present In 2 Views: Used By
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HeatPumpModel_v31 | #162 A |
Housing by Cohort and Retrofitting Status (House) Housing by Cohort and Retrofitting Status[Cohort,Retrofitting Status] = SUM( Housing[ Cohort, Heating and Cooling System!, Retrofitting Status]) Description: Amount of housing by retrofit status and cohort. Present In 3 Views: Used By
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HeatPumpModel_v31 | #164 A |
Housing by Heating and Cooling System (House) Housing by Heating and Cooling System[Heating and Cooling System] = SUM( Housing[ Cohort!, Heating and Cooling System, Retrofitting Status!]) Description: Number of houses by energy source across all cohorts. Present In 1 View: Used By
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HeatPumpModel_v31 | #165 A |
Housing by Retrofitting Status (House) Housing by Retrofitting Status[Retrofitting Status] = SUM( Housing by Cohort and Retrofitting Status[ Cohort!, Retrofitting Status]) Description: Amount of housing by retrofitting status, across all cohorts and systems. Present In 1 View: Used By
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HeatPumpModel_v31 | #173 F,A |
Housing Starts (Houses / Year) Housing Starts[Cohort,Heating and Cooling System] = Housing Fractional Growth Rate*SUM( Housing[ Cohort!, Heating and Cooling System, Retrofitting Status!])* Active Cohort Indicator[ Cohort]*(1- No Turnover Switch) Description: Homes being built. Assumed to be equal to the total number of homes times a constant fractional growth rate and only homes that are not open to retrofits will be built. Present In 3 Views: Used By
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HeatPumpModel_v31 | #167 A |
Housing Starts Across Cohorts () = SUM( Housing Starts In Each Cohort[ Cohort!]) Description: Housing starts across all cohorts. Present In 1 View: Used By |
HeatPumpModel_v31 | #169 A |
Housing Starts In Each Cohort (House / Year) Housing Starts In Each Cohort[Cohort] = SUM( Housing Starts[ Cohort, Heating and Cooling System!]) Description: Housing starts across heating and cooling systems. Present In 1 View: Used By
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HeatPumpModel_v31 | #175 A |
Implemented EEHIC Maximum Subsidy for Retrofits (Dollar / House) = IF THEN ELSE( Time>= Proportional EEHIC Subsidy Implementation Year for Retrofits:AND: Time<= EEHIC Subsidy for Retrofits Final Year, EEHIC Maximum Subsidy for Retrofits,0) Description: Maximum proportional subsidy from EEHIC that is actually implemented. Equal to zero before implementation year and to maximum proportional subsidy after implementation year. Present In 2 Views: Used By
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HeatPumpModel_v31 | #176 A |
Implemented EEHIC Subsidy Proportional Rate for Retrofits (dmnl) = IF THEN ELSE( Time>= Proportional EEHIC Subsidy Implementation Year for Retrofits:AND: EEHIC Subsidy for Retrofits Final Year>= Time, EEHIC Proportional Subsidy Rate for Retrofits,0) Description: The implemented proportional subsidy rate for retrofits from the IRA, taking into account whether a proportional subsidy has been implemented. Equal to zero before implementation year and proportional subsidy discount afterwards. Present In 2 Views: Used By
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HeatPumpModel_v31 | #177 A |
Implemented IRA Maximum Proportional Subsidy for Heat Pumps (Dollar / House) = IF THEN ELSE( Time>= IRA Proportional Subsidy Implementation Year for Heat Pumps:AND: Time<= IRA Lump Sum Subsidy for Heat Pumps Final Year, IRA Maximum Proportional Subsidy for Heat Pumps,0) Description: Maximum proportional subsidy for heat pumps that is actually implemented. Equal to zero before implementation year and to maximum proportional subsidy after implementation year. Present In 2 Views: Used By
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.housingagingchain v15 | #178 A |
Implemented MassSave Maximum Subsidy for Retrofits (Dollar / House) = IF THEN ELSE( Time>= Proportional MassSave Subsidy Implementation Year for Retrofits:AND: Time<= MassSave Subsidy for Retrofits Final Year, MassSave Maximum Subsidy for Retrofits,0) Description: Maximum proportional subsidy that is actually implemented. Equal to zero before implementation year and to maximum proportional subsidy after implementation year. Present In 2 Views: Used By
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.housingagingchain v15 | #179 A |
Implemented MassSave Subsidy Proportional Rate for Retrofits (dmnl) = IF THEN ELSE( Time>= Proportional MassSave Subsidy Implementation Year for Retrofits:AND: MassSave Subsidy for Retrofits Final Year>= Time, Mass Save Proportional Subsidy Rate for Retrofits,0) Description: The implemented proportional subsidy rate from the state, taking into account whether a proportional subsidy has been implemented. Equal to zero before implementation year and proportional subsidy discount afterwards. Present In 2 Views: Used By
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.housingagingchain v18 | #181 F,A |
Increase in U Value from Housing Starts (House * kBTU / (Year * F * sf) / Year) Increase in U Value from Housing Starts[Cohort,Heating and Cooling System] = Housing Starts[ Cohort, Heating and Cooling System]* U Value of Housing Starts[ Cohort, Heating and Cooling System] Description: New U value from new homes being built. Present In 1 View: Used By
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HeatPumpModel_v31 | #182 A |
Indicated Fraction of Homes Retrofitting (dmnl) Indicated Fraction of Homes Retrofitting[Cohort,Heating and Cooling System] = Affinity of Retrofitting[ Cohort, Heating and Cooling System]/( Affinity of Retrofitting[ Cohort, Heating and Cooling System]+ Affinity of Not Retrofitting[ Cohort, Heating and Cooling System]) Description: Proportion of households which are open to retrofitting to the optimum U. This is not necessarily all households, because the optimal U does not take into account fixed costs in retrofit costs, and so for a portion (or all) of them, retrofit costs > energy savings, and so not all (or any) households will retrofit. This also does not indicate households which are actively retrofitting, because if average U is already equal to optimum U then houses which are open to retrofitting have already retrofitted. Present In 2 Views: Used By
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HeatPumpModel_v31 | #183 A |
Indicated Homes Retrofitting (House) Indicated Homes Retrofitting[Cohort,Heating and Cooling System] = Indicated Fraction of Homes Retrofitting[ Cohort, Heating and Cooling System]* Housing by Cohort and Heating and Cooling System[ Cohort, Heating and Cooling System] Description: Number of homes that, once delays are taken into account, will be open to retrofitting. Present In 2 Views: Used By
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.housingagingchain v8 | #184 LI,A |
Initial Age (House * Year) Initial Age[Cohort,Retrofitting Status] = INITIAL(0) Initial Age[Preexisting Cohorts,Retrofitting Status] = ( Cohort Duration*(ELMCOUNT( Preexisting Cohorts)- Preexisting Cohorts+1))* Housing by Cohort and Retrofitting Status[ Preexisting Cohorts, Retrofitting Status] Description: The initial age of each cohort. For cohorts built during the model's run, this is zero. For each pre-existing cohort, this is the length of each cohort multiplied by how many cohorts separate the pre-existing cohort from the beginning of the model. For example, if there are two pre-existing cohorts each with length 5, the first cohort at the beginning of the run is already ten years old on average. Present In 1 View: Used By
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. | #194 A |
Initial Housing Starts (House/Year) Initial Housing Starts[Heating and Cooling System] = Total Initial Housing Starts/ELMCOUNT( Heating and Cooling System) Description: Initial value of housing starts, initialized at 10 total houses. Present In 1 View: Used By |
.housingagingchain v8 | #200 A |
Input (Dimensionless) = 1+STEP( Housing Starts Step Height, INITIAL TIME+ Step Time)+( Housing Starts Pulse Quantity/ TIME STEP)*PULSE( INITIAL TIME+ Pulse Time, TIME STEP)+RAMP( Housing Starts Ramp Slope, INITIAL TIME+ Ramp Start Time, INITIAL TIME+ Ramp End Time)+(STEP(1, INITIAL TIME)*(exp( Housing Starts Exponential Growth Rate*( Time- INITIAL TIME))-1))+ Sine Amplitude*SIN(2*3.14159*( Time- INITIAL TIME)/ Sine Period)+STEP(1, INITIAL TIME+ Noise Start Time)* Autocorrelated Noise Description: Input is a dimensionless variable which provides a variety of test input patterns, including a step,pulse, sine wave, and random noise. Present In 1 View: Used By |
.housingagingchain v8 | #198 A |
Input 0 (Dimensionless) = 1+STEP( Energy Price Step Height, INITIAL TIME+ Step Time 0)+( Energy Price Pulse Quantity/ TIME STEP)*PULSE( INITIAL TIME+ Pulse Time 0, TIME STEP)+RAMP( Energy Price Ramp Slope, INITIAL TIME+ Ramp Start Time 0, INITIAL TIME+ Ramp End Time 0)+(STEP(1, INITIAL TIME)*(exp( Energy Price Exponential Growth Rate*( Time- INITIAL TIME))-1))+ Sine Amplitude 0*SIN(2*3.14159*( Time- INITIAL TIME)/ Sine Period 0)+STEP(1, INITIAL TIME+ Noise Start Time 0)* Autocorrelated Noise 0 Description: Input is a dimensionless variable which provides a variety of test input patterns, including a step,pulse, sine wave, and random noise. Present In 1 View: Used By
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HeatPumpModel_v31 | #199 A |
Input 1 (Dimensionless) = 1+STEP( Cooling Energy Price Step Height 1, INITIAL TIME+ Step Time 1)+( Energy Price Pulse Quantity 1/ TIME STEP)*PULSE( INITIAL TIME+ Pulse Time 1, TIME STEP)+RAMP( Energy Price Ramp Slope 1, INITIAL TIME+ Ramp Start Time 1, INITIAL TIME+ Ramp End Time 1)+(STEP(1, INITIAL TIME)*(exp( Energy Price Exponential Growth Rate 1*( Time- INITIAL TIME))-1))+ Sine Amplitude 1*SIN(2*3.14159*( Time- INITIAL TIME)/ Sine Period 1)+STEP(1, INITIAL TIME+ Noise Start Time 1)* Autocorrelated Noise 1 Description: Input is a dimensionless variable which provides a variety of test input patterns, including a step,pulse, sine wave, and random noise. Present In 1 View: Used By
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HeatPumpModel_v31 | #201 A |
IRA Actual Subsidy for Heat Pumps (Dollar / House) = MIN( IRA Implemented Subsidy Proportional Rate for Heat Pumps* Unsubsidized Cost of Heat Pumps, Implemented IRA Maximum Proportional Subsidy for Heat Pumps) Description: The actual implemented subsidy for heat pumps from the Inflation Reduction Act, as opposed to the expected subsidy value. Present In 1 View: Used By
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HeatPumpModel_v31 | #202 A |
IRA Expected Proportional Subsidy for Heat Pumps (Dollar / House) = MIN( Proportional IRA Subsidy Switch for Heat Pumps* Expected IRA Proportional Subsidy Rate for Heat Pumps* Unsubsidized Cost of Heat Pumps, Expected Maximum IRA Proportional Subsidy for Heat Pumps) Description: The IRA's subsidies for a heat pump's upfront costsintensity, taking into account whether it has gone into effect. Present In 1 View: Used By
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HeatPumpModel_v31 | #203 A |
IRA Implemented Subsidy Proportional Rate for Heat Pumps (dmnl) = IF THEN ELSE( Time>= IRA Proportional Subsidy Implementation Year for Heat Pumps:AND: IRA Lump Sum Subsidy for Heat Pumps Final Year>= Time, IRA Proportional Subsidy Rate for Heat Pumps,0) Description: The implemented proportional subsidy rate, taking into account whether a proportional subsidy has been implemented. Equal to zero before implementation year and proportional subsidy rate afterwards. Present In 2 Views: Used By
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HeatPumpModel_v31 | #209 A |
Lifetime Marginal Cost Reductions from Retrofitting (Dollar * Year * F / kBTU) Lifetime Marginal Cost Reductions from Retrofitting[Cohort,Heating and Cooling System] = Marginal Cost Reductions from Retrofitting[ Cohort, Heating and Cooling System]/ Discount Rate Description: The amount of marginal emissions reductions over the model's lifetime. Assumes constant continuous discounting at the discount rate and infinite time horizon -- homeowners are so concerned about emissions that they consider emissions that occur after they move out. Present In 1 View: Used By
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HeatPumpModel_v31 | #210 A |
Marginal Cooling Cost Reduction from Retrofitting (Dollar * F / (kBTU)) Marginal Cooling Cost Reduction from Retrofitting[Cohort,Heating and Cooling System] = Expected Cooling Energy Price* Cooling Degree Days/ Cooling System Efficiency[ Heating and Cooling System] Description: The marginal reduction in heating costs per square foot from retrofitting away one unit of U. Calculated as the derivative of total cooling energy costs with respect to U, where total cooling energy costs are Cooling Energy Price * Cooling Energy Use Per Square Foot, and the latter is U value * Area * Cooling Temperature Differential (CDD) / Area. Present In 2 Views: Used By
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HeatPumpModel_v31 | #211 A |
Marginal Cost at Binding U Value without EEHIC ((Dollar / sf) / (kBTU / (sf * F * Year))) Marginal Cost at Binding U Value without EEHIC[Cohort,Heating and Cooling System] = Expected Reference Marginal Cost*(ZIDZ( Reference U Value, U Value at Which EEHIC Cap Binds[ Cohort, Heating and Cooling System]))^ Sensitivity of Marginal Cost to U Value Description: This is the marginal cost of retrofitting when the cap from the EEHIC is binding. That is, this is the value the marginal cost curve jumps to at the discontinuity. Present In 1 View: Used By
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.housingagingchain v15 | #212 A |
Marginal Cost Reductions from Retrofitting (Dollar * F / kBTU) Marginal Cost Reductions from Retrofitting[Cohort,Heating and Cooling System] = Marginal Cooling Cost Reduction from Retrofitting[ Cohort, Heating and Cooling System]+ Marginal Heating Cost Reduction from Retrofitting[ Cohort, Heating and Cooling System] Description: Total cost reductions from retrofitting away one unit of U value for existing homes, including reductions in both heating and cooling costs. Present In 2 Views: Used By
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.housingagingchain v5 testing | #213 A |
Marginal Heating Cost Reduction from Retrofitting (Dollar * F / (kBTU)) Marginal Heating Cost Reduction from Retrofitting[Cohort,Heating and Cooling System] = Expected Heating Energy Price[ Heating and Cooling System]* Heating Degree Days/ Heating System Efficiency[ Heating and Cooling System] Description: The marginal reduction in heating costs per square foot from retrofitting away one unit of U, for existing housing. Calculated as the derivative of total heating energy costs with respect to U, where total heating energy costs are Heating Energy Price * Heating Energy Use Per Square Foot, and the latter is U value * Area * Heating Temperature Differential (HDD) / efficiency / Area. Present In 1 View: Used By
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HeatPumpModel_v31 | #215 A |
Massachusetts Annual Heat Pumps Subsidy (Dollar / Year) = Total Heat Pump Sales* MassSave Implemented Lump Sum Subsidy for Heat Pumps Description: The actual subsidy provided for purchase of heat pumps by Massachusetts, as opposed to what the subsidy expected by homeowners is. Present In 1 View: Used By
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HeatPumpModel_v31 | #216 A |
Massachusetts Annual Retrofit Subsidy (Dollar / Year) = SUM( Houses Retrofitting per Year[ Cohort!, Heating and Cooling System!]* Actual MassSave Subsidy for Retrofits[ Cohort!, Heating and Cooling System!]) Description: Amount of money Massachusetts spends on MassSave subsidies for retrofits, yearly. Present In 1 View: Used By
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HeatPumpModel_v31 | #217 SM,A |
MassSave Expected Lump Sum Subsidy for Heat Pumps (Dollar / House) = SMOOTH3( MassSave Implemented Lump Sum Subsidy for Heat Pumps, Delay in Changing Subsidy Expectations) Description: Expected lump sum subsidy that lowers subsidized retrofit costs from the state, taking into account information delays. Present In 1 View: Used By
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.housingagingchain v15 | #218 A |
MassSave Expected Subsidy for Retrofits (Dollar / House) MassSave Expected Subsidy for Retrofits[Cohort,Heating and Cooling System,Retrofitting Status] = MIN( Proportional Subsidy Switch for Retrofits* Expected MassSave Proportional Subsidy Rate for Retrofits* Unsubsidized Retrofit Cost Intensity[ Cohort, Heating and Cooling System]* Average Area[ Cohort, Retrofitting Status], Expected MassSave Maximum Subsidy for Retrofits) Description: The proportional subsidy offered against the retrofit cost intensity from MassSave, taking into account whether it has gone into effect. Present In 2 Views: Used By
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HeatPumpModel_v31 | #219 A |
MassSave Implemented Lump Sum Subsidy for Heat Pumps (Dollar / House) = MIN( Unsubsidized Cost of Heat Pumps,IF THEN ELSE( Time>= MassSave Lump Sum Subsidy Implementation Year for Heat Pumps:AND: Time<= MassSave Lump Sum Subsidy for Heat Pumps Final Year, MassSave Lump Sum Subsidy Amount for Heat Pumps,0)) Description: Lump sum subsidy from MassSave that is actually implemented. Equal to zero before implementation year and to lump sum subsidy after implementation year. Present In 2 Views: Used By
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HeatPumpModel_v31 | #224 A |
MassSave Subsidy for Retrofits Final Year (Year) = FINAL TIME Description: The year in which the subsidy is phased out. If final time, then has no ending data. Present In 1 View: Used By
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HeatPumpModel_v31 | #226 A |
Monthly Total Heat Pump Sales (Houses/ Month) = Total Heat Pump Sales/ Months per Year Description: The number of homes buying heat pumps, every year. Present In 1 View: Used By |
HeatPumpModel_v31 | #229 A |
Net Age Shift by System (Year * House / Year) Net Age Shift by System[Cohort,Heating and Cooling System] = IF THEN ELSE( Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System]>0, Average Age[ Cohort,Not Open to Retrofitting]* Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System], Average Age[ Cohort,Open to Retrofitting]* Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System]) Description: The shift in age from switching retrofit system, by cohort and by heating and cooling system. Present In 1 View: Used By
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HeatPumpModel_v31 | #230 F,A |
Net Age Shift from Retrofitting Status Shifting (House * Year / Year) Net Age Shift from Retrofitting Status Shifting[Cohort] = SUM( Net Age Shift by System[ Cohort, Heating and Cooling System!]) Description: Shift in age within each cohort due to houses becoming open or closed to retrofitting. Present In 1 View: Used By
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.housingagingchain v8 | #231 A |
Net Area Shift by System (sf / Year) Net Area Shift by System[Cohort,Heating and Cooling System] = IF THEN ELSE( Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System]>0, Average Area[ Cohort,Not Open to Retrofitting]* Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System], Average Area[ Cohort,Open to Retrofitting]* Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System]) Description: The shift in area from switching retrofit status, by heating and cooling system in addition to cohort. Present In 1 View: Used By
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HeatPumpModel_v31 | #232 F,A |
Net Area Shift due to Retrofit Status Switching (sf / Year) Net Area Shift due to Retrofit Status Switching[Cohort] = SUM( Net Area Shift by System[ Cohort, Heating and Cooling System!]) Description: Shift in area between energy sources due to houses switching sources. Present In 1 View: Used By
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HeatPumpModel_v31 | #233 F,A |
Net Change in Homes Retrofitting (Houses / Year) Net Change in Homes Retrofitting[Cohort,Heating and Cooling System] = ( Indicated Homes Retrofitting[ Cohort, Heating and Cooling System]- Housing[ Cohort, Heating and Cooling System,Open to Retrofitting])/ Time to Decide to Retrofit Description: Homes that are in the process of deciding to retrofit. Present In 3 Views: Used By
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HeatPumpModel_v31 | #234 F,A |
Net U Value Change from Retrofitting Home Shifts (House * kBTU / (Year * F * sf) / Year) Net U Value Change from Retrofitting Home Shifts[Cohort,Heating and Cooling System] = IF THEN ELSE( Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System]>0, U Value by Grouping[ Cohort, Heating and Cooling System,Not Open to Retrofitting]* Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System], U Value by Grouping[ Cohort, Heating and Cooling System,Open to Retrofitting]* Net Change in Homes Retrofitting[ Cohort, Heating and Cooling System]) Description: Net change in U value due to homes becoming open or not to retrofitting. If net change is positive, then homes are going from not being open to retrofitting to being open, meaning non-retrofitting homes' U value is flowing into the retrofitting homes' U value. If net change is negative, then houses becoming less likely to retrofit. Present In 1 View: Used By
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HeatPumpModel_v31 | #246 A |
Optimal Cooling Cost (Dollar / (Year * House)) Optimal Cooling Cost[Cohort,Heating and Cooling System,Retrofitting Status] = Expected Cooling Energy Price* Optimal Cooling Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status] Description: The average cost of cooling, if homes have the optimal U value. Present In 1 View: Used By
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HeatPumpModel_v31 | #247 C |
Optimal Cooling Energy Use (kBTU / (Year * House)) Optimal Cooling Energy Use[Cohort,Heating and Cooling System,Retrofitting Status] = Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System]* Average Area[ Cohort, Retrofitting Status]* Cooling Degree Days/ Cooling System Efficiency[ Heating and Cooling System] Optimal Cooling Energy Use[Cohort,No AC Cooling,Retrofitting Status] = 0 Description: The energy used for cooling, for the average household, if U is optimal. Calculated by setting efficiency times energy use equal to total cooling temperature differential(CDD), multiplied by optimal U, and solving for energy use. Present In 1 View: Used By
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HeatPumpModel_v31 | #248 A |
Optimal Energy Cost (Dollar / (Year * House)) Optimal Energy Cost[Cohort,Heating and Cooling System,Retrofitting Status] = Optimal Cooling Cost[ Cohort, Heating and Cooling System, Retrofitting Status]+ Optimal Heating Cost[ Cohort, Heating and Cooling System, Retrofitting Status] Description: Total energy cost if optimal U value is achieved. Present In 2 Views: Used By
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HeatPumpModel_v31 | #249 A |
Optimal Energy Use (kBTU / (House * Year)) Optimal Energy Use[Cohort,Heating and Cooling System,Retrofitting Status] = Optimal Cooling Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status]+ Optimal Heating Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status] Description: Average energy use to heat and cool per house if U is optimal. Present In 1 View: Used By |
HeatPumpModel_v31 | #250 A |
Optimal Heating Cost (Dollar / (Year * House)) Optimal Heating Cost[Cohort,Heating and Cooling System,Retrofitting Status] = Expected Heating Energy Price[ Heating and Cooling System]* Optimal Heating Energy Use[ Cohort, Heating and Cooling System, Retrofitting Status] Description: Average heating cost if U value is optimal. Present In 1 View: Used By
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HeatPumpModel_v31 | #251 A |
Optimal Heating Energy Use (kBTU / (House * Year)) Optimal Heating Energy Use[Cohort,Heating and Cooling System,Retrofitting Status] = Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System]* Average Area[ Cohort, Retrofitting Status]* Heating Degree Days/ Heating System Efficiency[ Heating and Cooling System] Description: The energy used for heating, for the average household, if U is optimal. Calculated by setting efficiency times energy use equal to total heating temperature differential, multiplied by optimal U, and solving for energy use. Present In 1 View: Used By
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HeatPumpModel_v31 | #252 A |
Optimal U Across All Housing (kBTU / (sf * F * Year)) = SUM( Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort!, Heating and Cooling System!]* Housing[ Cohort!, Heating and Cooling System!, Retrofitting Status!]/ Total Housing Stock) Description: The average optimal U value across all cohorts and all energy sources. Weigh optimal U by share of housing so that houses which haven't been built yet don't factor into the average. Present In 1 View: Used By |
.housingagingchain v18 | #253 A |
Optimal U for New Homes (kBTU / (sf * Year * F)) Optimal U for New Homes[Cohort,Heating and Cooling System] = (( Expected Reference Marginal Cost/( Marginal Cost Reductions from Retrofitting[ Cohort, Heating and Cooling System]/ Discount Rate))^(1/ Sensitivity of Marginal Cost to U Value))* Reference U Value*(1- Expected MassSave Proportional Subsidy Rate for Retrofits) Description: The optimal U for houses being built, taking into account energy savings and construction costs. Calculated in a similar manner to the optimal U for existing homes. Present In 2 Views: Used By
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HeatPumpModel_v31 | #255 A |
Optimal U Value for Existing Homes (kBTU / (sf * F * Year)) Optimal U Value for Existing Homes[Cohort,Heating and Cooling System] = IF THEN ELSE( U Value at Which EEHIC Cap Binds[ Cohort, Heating and Cooling System]< Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System], Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System],IF THEN ELSE( Lifetime Marginal Cost Reductions from Retrofitting[ Cohort, Heating and Cooling System]> Marginal Cost at Binding U Value without EEHIC[ Cohort, Heating and Cooling System], Optimal U Value with No EEHIC Proportional Subsidy[ Cohort, Heating and Cooling System], U Value at Which EEHIC Cap Binds[ Cohort, Heating and Cooling System])) Description: This is the optimal value at which homes will retrofit to. This is the value at which the marginal costs of retrofitting equal the marginal benefits.This strange formulation comes from the fact that there is a discontinuity in the marginal cost curve. The intuition can be seen in this graph: https://www.desmos.com/calculator/4esbngkovt. In the graph, X is the U value to which to retrofit and y is the marginal benefit or cost, and the curved line is the marginal cost curve and the horizontal is the marginal benefit. Y, the marginal benefit, can be adjusted. I set reference marginal cost and reference U to 1 for clarity in this graph.Because the Energy Efficiency Home Improvement Credit takes of 30% of the retrofit cost up to $1200, there is a U value (x_cap in the graph) at which, below it, marginal costs benefit from the EEHIC's 30% subsidy (the red line in the graph). After that, there is no such 30% subsidy, and the marginal cost curve is shifted up (blue line in the graph). What then is the optimal U? The first if then else statement captures the fact that if the marginal cost curve with the 30% subsidy intersects the marginal benefit line, then homes just retrofit to that point. The EEHIC cap is not binding. If the cap is binding, then the second if then else statement captures the fact that if the marginal benefit is still greater than the marginal costs after the cap in EEHIC -- that is, it's still worth to retrofit even without a 30% subsidy-- then homes retrofit to the point where the higher MC curve intersects the marginal benefit. If this is not true -- if the marginal cost at the discontinuity jumps above the marginal benefit-- then retrofitting beyond the discontinuity means marginal costs are greater than marginal benefits, and so they'll retrofit to the discontinuity. Present In 1 View: Used By
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.housingagingchain v4 testing | #254 A |
Optimal U Value for Existing Homes if no EEHIC Cap (kBTU / (sf * F * Year)) Optimal U Value for Existing Homes if no EEHIC Cap[Cohort,Heating and Cooling System] = Reference U Value*( Expected Reference Marginal Cost*(1- Expected MassSave Proportional Subsidy Rate for Retrofits)*(1- Expected EEHIC Proportional Subsidy Rate for Retrofits)/ Lifetime Marginal Cost Reductions from Retrofitting[ Cohort, Heating and Cooling System])^(1/ Sensitivity of Marginal Cost to U Value) Description: Optimal U Value to retrofit to should achieve if fixed costs are not taken into consideration (e.g., if fixed costs have already been paid) for existing houses). This takes into account the proportional subsidy but not the lump sum. Effect of proportional subsidies are multiplied instead of added, i.e., (1 - subsidy1)(1-subsidy2) instead of (1 - subsidy1 - subsidy2), because costs from state programs are subtracted when calculating federal subsidy in MA (https://www.masssave.com/inflation-reduction-act, "How do Mass Save rebates factor into the calculation of tax credits?")Expression is derived from the marginal energy savings from retrofitting being Energy Price and marginal cost of retrofitting being Reference MC * (1/(U/ Reference U))^Sensitivity and then solving for optimal retrofit when marginal savings equal marginal cost.This is the optimal U value if there were no cap on the Energy Efficiency Home Improvement Credit, i.e., no discontinuity the marginal cost curve. Present In 8 Views:
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HeatPumpModel_v31 | #256 A |
Optimal U Value with No EEHIC Proportional Subsidy (kBTU / (sf * F * Year)) Optimal U Value with No EEHIC Proportional Subsidy[Cohort,Heating and Cooling System] = Reference U Value*( Expected Reference Marginal Cost*(1- Expected MassSave Proportional Subsidy Rate for Retrofits)/ Lifetime Marginal Cost Reductions from Retrofitting[ Cohort, Heating and Cooling System])^(1/ Sensitivity of Marginal Cost to U Value) Description: Optimal U value if there is no proportional subsidy from the EEHIC at all. Present In 1 View: Used By
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HeatPumpModel_v31 | #257 A |
Peak Cooling Load on Grid (kWH / Day) = SUM( Peak Load from Heat Pumps on Hottest Days per Group[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: Annual load from heat pumps providing heating on the coldest day, across all groups. Present In 1 View: Used By |
HeatPumpModel_v31 | #258 A |
Peak Heating Load on Grid (kWH / Day) = SUM( Peak Load from Heat Pumps on Coldest Days per Group[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: Annual load from heat pumps providing heating on the coldest days, across all groups. Present In 1 View: Used By |
HeatPumpModel_v31 | #259 C |
Peak Load from Heat Pumps on Coldest Days per Group (kWH / Day) Peak Load from Heat Pumps on Coldest Days per Group[Cohort,Heat Pump Heating and Cooling,Retrofitting Status] = Housing[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status]* U Value by Grouping[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status]* Average Area[ Cohort, Retrofitting Status]* HDD on Coldest Day/ Heat Pump COP on Coldest Days/( kBTU per kWH* Days per Year) Peak Load from Heat Pumps on Coldest Days per Group[Cohort,Fossil Fuel Heating,Retrofitting Status] = 0 Description: The load that houses with heat pumps will put on the grid due to providing heating on the coldest day of the year, when heat pumps are less efficient and per cohort and retrofit status. Present In 1 View: Used By
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HeatPumpModel_v31 | #260 C |
Peak Load from Heat Pumps on Hottest Days per Group (kWH / Day) Peak Load from Heat Pumps on Hottest Days per Group[Cohort,Heating and Cooling System,Retrofitting Status] = Housing[ Cohort, Heating and Cooling System, Retrofitting Status]* U Value by Grouping[ Cohort, Heating and Cooling System, Retrofitting Status]* Average Area[ Cohort, Retrofitting Status]* CDD on Coldest Day/ Cooling System Efficiency[ Heating and Cooling System]/( kBTU per kWH* Days per Year) Peak Load from Heat Pumps on Hottest Days per Group[Cohort,No AC Cooling,Retrofitting Status] = 0 Description: The load that houses with heat pumps will put on the grid due to providing heating on the coldest day of the year, per year and per cohort and retrofit status. Present In 1 View: Used By
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HeatPumpModel_v31 | #262 A |
Perceived Cost of Not Retrofitting (Dollar / (House * Year)) Perceived Cost of Not Retrofitting[Cohort,Heating and Cooling System] = (1- Weight on Upfront Cost)* Total Cost of Ownership of Average Home[ Cohort, Heating and Cooling System] Description: Homeowners' perceived cost (or negation of the utility) for not retrofitting their home further, taking into homeowners weighupfront retrofit costs higher. Present In 1 View: Used By
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HeatPumpModel_v31 | #263 A |
Perceived Cost of Retrofitting (Dollar / (House * Year)) Perceived Cost of Retrofitting[Cohort,Heating and Cooling System] = (1- Weight on Upfront Cost)* Total Cost of Ownership of Retrofitted Homes[ Cohort, Heating and Cooling System]+ Weight on Upfront Cost* Amoritized Subsidized Retrofit Cost[ Cohort, Heating and Cooling System] Description: Homeowners' perceived costs (or negation of their utility) for retrofitting their home, taking into account higher costs have less utilty and homeowners weigh upfront retrofit costs higher. Present In 2 Views: Used By
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.housingagingchain v5 testing | #265 C |
Present Value of Cooling Operating Costs (Dollars / (House)) Present Value of Cooling Operating Costs[Cohort,Heat Pump Heating and Cooling,Retrofitting Status,Heating and Cooling System] = ( Expected Cooling Energy Price* Cooling Energy Use Under Alternatives[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]/ Discount Rate)*(1-exp(- Discount Rate* Average Lifetime of Cooling Technology[ Heating and Cooling System])) Present Value of Cooling Operating Costs[Cohort,Traditional Cooling,Retrofitting Status,Heating and Cooling System] = ( Expected Cooling Energy Price* Cooling Energy Use Under Alternatives[ Cohort, Traditional Cooling, Retrofitting Status, Heating and Cooling System]/ Discount Rate)*(1-exp(- Discount Rate* Average Lifetime of Cooling Technology[ Heating and Cooling System])) Present Value of Cooling Operating Costs[Cohort,Heating and Cooling System,Retrofitting Status,No AC Cooling] = 0 Description: The present value of cost to operate a cooling system, from the perspective of a house with one heating and cooling system (first H & C subscript) to another (the second). The operating cost is just the energy price times usage for cooling. Assumes constant operating costs and discount rate, with costs ending at the end of the average lifetime. Present In 1 View: Used By
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.housingagingchain v5 testing | #266 A |
Present Value of Heating Operating Costs (Dollar / (House)) Present Value of Heating Operating Costs[Cohort,Heat Pump Heating and Cooling,Retrofitting Status,Heating and Cooling System] = ( Expected Heating Energy Price[ Heating and Cooling System]* Heating Energy Use Under Alternatives[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]/ Discount Rate)*(1-exp(- Discount Rate* Average Lifetime of Heating Technology[ Heating and Cooling System])) Present Value of Heating Operating Costs[Cohort,Fossil Fuel Heating,Retrofitting Status,Heating and Cooling System] = ( Expected Heating Energy Price[ Heating and Cooling System]* Heating Energy Use Under Alternatives[ Cohort, Fossil Fuel Heating, Retrofitting Status, Heating and Cooling System]/ Discount Rate)*(1-exp(- Discount Rate* Average Lifetime of Heating Technology[ Heating and Cooling System])) Description: The present value of cost to operate a heating system, from the perspective of a house with one heating and cooling system (first H & C subscript) to another (the second). The operating cost is just the energy price times usage for cooling. Assumes constant operating costs and continuous discount rate, with costs ending at the end of the average lifetime. Present In 1 View: Used By
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HeatPumpModel_v31 | #267 A |
Present Value of Operating Costs (Dollar / (House) ) Present Value of Operating Costs[Cohort,Heat Pump Heating and Cooling,Retrofitting Status,Heating and Cooling System] = Present Value of Cooling Operating Costs[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]+ Present Value of Heating Operating Costs[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System] Present Value of Operating Costs[Cohort,Fossil Fuel Heating,Retrofitting Status,Heating and Cooling System] = Present Value of Cooling Operating Costs[ Cohort, Fossil Fuel Heating, Retrofitting Status, Heating and Cooling System]+ Present Value of Heating Operating Costs[ Cohort, Fossil Fuel Heating, Retrofitting Status, Heating and Cooling System] Description: Operating costs of each heating and cooling technology, in the order: heat pump only, central AC, window AC (two units), no AC, gas, oil.For window AC and no AC, this is includes the cost of the lack of comfort these technologies have. That is, it includes the amount of money that users of those technologies would pay each month to use central AC or heat pumps instead due to window ACs' noise or both technologies' inability to properly cool homes.Rough data from:Heat pump and central ac: https://carbonswitch.com/heat-pump-costs/Window AC ( 70/year): https://applianceanalysts.com/window-ac-running-costs/Gas: https://homeguide.com/costs/gas-furnace-pricesOil: https://homeguide.com/costs/oil-furnace-cost Present In 1 View: Used By
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HeatPumpModel_v31 | #268 C |
Present Value Replacement Cost (Dollar / House) Present Value Replacement Cost[Heating and Cooling System] = Cost of Cooling System Replacement[ Heating and Cooling System]/( Average Lifetime of Cooling Technology[ Heating and Cooling System]* Discount Rate)+ Cost of Heating System Replacement[ Heating and Cooling System]/( Average Lifetime of Heating Technology[ Heating and Cooling System]* Discount Rate) Present Value Replacement Cost[Heat Pump Heating and Cooling] = Cost of Cooling System Replacement[ Heat Pump Heating and Cooling]/( Average Lifetime of Cooling Technology[ Heat Pump Heating and Cooling]* Discount Rate) Present Value Replacement Cost[No AC Cooling] = 0 Description: Present value of replacement costs of both Heating and Cooling System given continuous discounting and where systems have a constant hazard rate of failure. On average, 1/L of the systems will break every year, because we assume failure rate is constant and where L is the lifetime of the system. Therefore, the average home will incur an average cost of R/L (R is replacement or upfront cost) every year. We assume that the household ignores the fact that after a finite time they'll leave the house or sell the system, because we assume they'll be able to sell the system at a price equal to the NPV at that time. Thus, selling the system or moving house does not change the NPV of the system when making the decision to switch.For houses that primarily use heat pumps, this formulation assures no double counting. Present In 1 View: Used By
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HeatPumpModel_v31 | #288 F,A |
Retrofitting (House * kBTU / (sf * F* Year) / Year) Retrofitting[Cohort,Heating and Cooling System] = MAX(0, Housing[ Cohort, Heating and Cooling System,Open to Retrofitting]*( U Value by Grouping[ Cohort, Heating and Cooling System,Open to Retrofitting]- Optimal U Value for Existing Homes if no EEHIC Cap[ Cohort, Heating and Cooling System])/ Retrofit Delay) Description: Energy use retrofitted away. If positive, this means that energy use is being retrofitted away. Present In 1 View: Used By
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HeatPumpModel_v31 | #287 A |
Retrofitting Across Cohorts and Systems (House * kBTU / ( Year * Year * sf * F)) = SUM( Retrofitting[ Cohort!, Heating and Cooling System!]) Description: The total amount of retrofits across all cohorts and heating/cooling systems. Present In 1 View: Used By |
HeatPumpModel_v31 | #299 A |
Soft Costs of Retrofitting (Dollar / Home) = Average Income* Homeowner Hours Spent Retrofitting Description: The "hassle cost" of retrofitting a home, that is not due to economic costs but rather from the time and hassle spent on a homeowner retrofitting (such as having to move out). This is calculated as the opportunity cost of all the time spent retrofitting, using the average hourly income for MA SFH homeowners. Present In 1 View: Used By
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HeatPumpModel_v31 | #303 A |
Subsidized Cost of Heat Pumps (Dollar / House) = MAX(0, Unsubsidized Cost of Heat Pumps- Expected Subsidy for Heat Pumps) Description: The upfront cost of heat pump once subsidies are taken into account. Present In 1 View: Used By
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.housingagingchain v15 | #304 A |
Subsidized Retrofit Cost (Dollar /House) Subsidized Retrofit Cost[Cohort,Heating and Cooling System] = Unsubsidized Retrofit Cost[ Cohort, Heating and Cooling System]- Expected Subsidy for Retrofits[ Cohort, Heating and Cooling System,Open to Retrofitting]+ Soft Costs of Retrofitting Description: The total retrofit cost, net of any subsidies for existing homes. Hassle costs are added here because subsidies cannot subsidize those directly. Present In 1 View: Used By
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HeatPumpModel_v31 | #310 A |
Total Area (sf) = SUM( Area[ Cohort!, Retrofitting Status!]) Description: The total area across all housing. Present In 1 View: Used By
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HeatPumpModel_v31 | #311 A |
Total Cooling Cost (Dollar / Year) = SUM( Average Cooling Cost[ Cohort!, Heating and Cooling System!, Retrofitting Status!]* Housing[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: The total amount of money spent on cooling homes, per year. Present In 1 View: Used By
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HeatPumpModel_v31 | #312 A |
Total Cooling Energy Use (kBTU/ Year) = SUM( Average Cooling Energy Use[ Cohort!, Heating and Cooling System!, Retrofitting Status!]* Housing[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: The total amount of energy spent on cooling homes. Present In 1 View: Used By
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HeatPumpModel_v31 | #313 A |
Total Cost of Ownership of Average Home (Dollar / (Year * House)) Total Cost of Ownership of Average Home[Cohort,Heating and Cooling System] = Average Energy Costs for Retrofitting Home[ Cohort, Heating and Cooling System] Description: Total cost of ownership of a house without any further retrofit costs, i.e., at current energy use. Equivalent to energy costs because no retrofit costs are incurred. Present In 2 Views: Used By
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HeatPumpModel_v31 | #314 A |
Total Cost of Ownership of Retrofitted Homes (Dollar / (House * Year)) Total Cost of Ownership of Retrofitted Homes[Cohort,Heating and Cooling System] = Amoritized Subsidized Retrofit Cost[ Cohort, Heating and Cooling System]+ Average Energy Costs if Retrofitted[ Cohort, Heating and Cooling System] Description: The total cost of ownership of owning a home that has been retrofitted to the optimal U. Present In 1 View: Used By
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HeatPumpModel_v31 | #315 A |
Total Energy Use (kBTU / Year) = SUM( Energy Use by Grouping[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: The total energy use for all homes in the model. Present In 1 View: Used By
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HeatPumpModel_v31 | #316 A |
Total Heat Pump Sales (House / Year) = SUM( Houses Switching Sources[ Cohort!, Heating and Cooling System!, Retrofitting Status!,Heat Pump Only]+ Houses Switching Sources[ Cohort!, Heating and Cooling System!, Retrofitting Status!,Heat Pump and Gas]+ Houses Switching Sources[ Cohort!, Heating and Cooling System!, Retrofitting Status!,Heat Pump and Oil]) Description: Number of houses buying heat pumps every year. Present In 3 Views: Used By
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HeatPumpModel_v31 | #317 A |
Total Heating Cost (Dollar / Year) = SUM( Average Heating Cost[ Cohort!, Heating and Cooling System!, Retrofitting Status!]* Housing[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: The total amount of money spent on heating homes. Present In 1 View: Used By
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HeatPumpModel_v31 | #318 A |
Total Heating Energy Use (kBTU/ Year) = SUM( Average Heating Energy Use[ Cohort!, Heating and Cooling System!, Retrofitting Status!]* Housing[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: The total amount of energy spent on heating per year. Present In 1 View: Used By
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HeatPumpModel_v31 | #319 A |
Total Housing Starts (House/ Year) = SUM( Housing Starts[ Cohort!, Heating and Cooling System!]) Description: The total housing starts across all cohorts and sources. Present In 1 View: Used By |
.housingagingchain v4 testing | #320 A |
Total Housing Stock (House) = SUM( Housing[ Cohort!, Heating and Cooling System!, Retrofitting Status!]) Description: Total number of houses across all cohorts, heating/cooling systems, and retrofitting status. Present In 2 Views: Used By
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HeatPumpModel_v31 | #323 A |
Total Present Value of Cost (Dollar / House) Total Present Value of Cost[Cohort,Heat Pump Heating and Cooling,Retrofitting Status,Heating and Cooling System] = Present Value of Operating Costs[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]+ Present Value Replacement Cost[ Heating and Cooling System]+ Cost of Bad Air Conditioning[ Heating and Cooling System] Total Present Value of Cost[Cohort,Fossil Fuel Heating,Retrofitting Status,Heating and Cooling System] = Present Value of Operating Costs[ Cohort, Fossil Fuel Heating, Retrofitting Status, Heating and Cooling System]+ Present Value Replacement Cost[ Heating and Cooling System]+ Cost of Bad Air Conditioning[ Heating and Cooling System] Description: Total net present value of each heating and cooling combination. Assume that for systems with fossil fuel backups, the backup system is used so sparingly that its operating costs are negligible. Present In 1 View: Used By
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HeatPumpModel_v31 | #324 A |
Total U Value Across All Groupings (House * kBTU / (sf * F * Year)) = SUM( Total U Value by Cohort[ Cohort!]) Description: Total U value across all groupings of households. Present In 1 View: Used By
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HeatPumpModel_v31 | #325 A |
Total U Value by Cohort (House * kBTU / (sf * F * Year)) Total U Value by Cohort[Cohort] = SUM( Total U Value[ Cohort, Heating and Cooling System!, Retrofitting Status!]) Description: Total U Value within each cohort. Present In 1 View: Used By
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HeatPumpModel_v31 | #326 A |
Total U Value by Heating and Cooling System (House * kBTU / (sf * F * Year)) Total U Value by Heating and Cooling System[Heating and Cooling System] = SUM( Total U Value[ Cohort!, Heating and Cooling System, Retrofitting Status!]) Description: The total U value by heating and cooling system Present In 1 View: Used By
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HeatPumpModel_v31 | #328 A |
U Value at Which EEHIC Cap Binds (kBTU / (F * sf * Year)) U Value at Which EEHIC Cap Binds[Cohort,Heating and Cooling System] = IF THEN ELSE( U Value of Retrofitting Homes[ Cohort, Heating and Cooling System]>1e-06:AND: Expected EEHIC Proportional Subsidy Rate for Retrofits>1e-06, Reference U Value*(( Sensitivity of Marginal Cost to U Value-1)*((( Expected EEHIC Maximum Subsidy for Retrofits- Expected EEHIC Proportional Subsidy Rate for Retrofits* Expected Fixed Cost)/( U Value of Retrofitting Homes[ Cohort, Heating and Cooling System]* Expected EEHIC Proportional Subsidy Rate for Retrofits* Expected Reference Marginal Cost* Average Area[ Cohort,Open to Retrofitting]))-(1/(- Sensitivity of Marginal Cost to U Value+1))*(( U Value of Retrofitting Homes[ Cohort, Heating and Cooling System]/ Reference U Value)^(- Sensitivity of Marginal Cost to U Value+1)))^(1/(- Sensitivity of Marginal Cost to U Value+1))),0) Description: This the U value at which the maximum subsidy from the Energy Efficiency Home Improvement Credit (from the IRA_ will occur. Because the EEHIC pays for 30% of a retrofit's costs up to $1200, once a home will retrofit beyond this point, IT will no longer receive an additional subsidy. Thus, this is the U value at which a discontinuity in the marginal cost curve will occur-- before it, a 30% subsidy on the marginal cost will cocur, and then afterwards were will be no proportional subsidy.Formulation is derived by setting 30% of the retrofit cost from current U value to this U value equal to the maximum subsidy, and then solving for this U value. The retrofit cost from the current U to this U is equal to the definite integral from the current U to this U of the marginal cost, which is equal to Reference MC * (Reference U / U) ^sensitivity Present In 1 View: Used By
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HeatPumpModel_v31 | #329 A |
U Value by Grouping (kBTU / (sf * F * Year)) U Value by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] = IF THEN ELSE( Housing[ Cohort, Heating and Cooling System, Retrofitting Status]>1e-12, Total U Value[ Cohort, Heating and Cooling System, Retrofitting Status]/ Housing[ Cohort, Heating and Cooling System, Retrofitting Status],0) Description: The average U value in each home by cohort, heating/cooling system, etc. Present In 8 Views:
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HeatPumpModel_v31 | #330 A |
U Value Increase from Source Switching (kBTU*House/(Year*Year*sf*F)) U Value Increase from Source Switching[Heating and Cooling System] = SUM( U Value Shift from Source Switching[ Cohort!, Heating and Cooling System!, Heating and Cooling System, Retrofitting Status!]) Description: The increase in total U value for each Heating and Cooling System from houses switching their heating and cooling systems. Present In 1 View: Used By
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HeatPumpModel_v31 | #331 F,A |
U Value Loss from Demolition (House * kBTU / (Year * F * sf) / Year) U Value Loss from Demolition[Cohort,Heating and Cooling System,Retrofitting Status] = U Value by Grouping[ Cohort, Heating and Cooling System, Retrofitting Status]* Demolitions[ Cohort, Heating and Cooling System, Retrofitting Status] Description: Homes' total energy use decrease from those homes being demolished. Present In 1 View: Used By
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.housingagingchain v18 | #332 A |
U Value of Housing Starts (kBTU / (Year * F * sf)) U Value of Housing Starts[Cohort,Heating and Cooling System] = IF THEN ELSE( Additional Cost of Building to U Value[ Cohort, Heating and Cooling System]<0:AND: Optimal U for New Homes[ Cohort, Heating and Cooling System]< Code U, Optimal U for New Homes[ Cohort, Heating and Cooling System], Code U) Description: Equal to optimal U Value if it is lower than code U value and it is cheaper to build to lower U value. Otherwise, developers just build to code. Present In 2 Views: Used By
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HeatPumpModel_v31 | #333 A |
U Value of Retrofitting Homes (kBTU / (sf * Year * F)) U Value of Retrofitting Homes[Cohort,Heating and Cooling System] = U Value by Grouping[ Cohort, Heating and Cooling System,Open to Retrofitting] Description: The Average U Value of each home that is open to retrofitting. Present In 1 View: Used By
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HeatPumpModel_v31 | #335 F,A |
U Value Shift from Source Switching (House * kBTU / (Year * F * sf) / Year) U Value Shift from Source Switching[Cohort,Heat Pump Heating and Cooling,Heating and Cooling System,Retrofitting Status] = Houses Switching Sources[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status, Heating and Cooling System]* U Value by Grouping[ Cohort, Heat Pump Heating and Cooling, Retrofitting Status] U Value Shift from Source Switching[Cohort,Fossil Fuel Heating,Heating and Cooling System,Retrofitting Status] = Houses Switching Sources[ Cohort, Fossil Fuel Heating, Retrofitting Status, Heating and Cooling System]* U Value by Grouping[ Cohort, Fossil Fuel Heating, Retrofitting Status] Description: The shift in total U value coming from switching sources. Present In 2 Views: Used By
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HeatPumpModel_v31 | #337 A |
Unsubsidized Cost of Heat Pumps (Dollar / House) = Unsubsidized Cost of Heat Pump Over Time TABLE( Time) Description: The unsubsidized cost of heat pumps, instantiated at each time. Present In 3 Views: Used By
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.housingagingchain v8 | #339 A |
Unsubsidized Retrofit Cost (Dollar / House) Unsubsidized Retrofit Cost[Cohort,Heating and Cooling System] = Unsubsidized Retrofit Cost Intensity[ Cohort, Heating and Cooling System]* Average Area[ Cohort,Open to Retrofitting] Description: Total retrofit cost without taking into account subsidies. Present In 4 Views:
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.housingagingchain v5 testing | #338 A |
Unsubsidized Retrofit Cost Intensity (Dollar / sf) Unsubsidized Retrofit Cost Intensity[Cohort,Heating and Cooling System] = MAX(IF THEN ELSE( U Value of Retrofitting Homes[ Cohort, Heating and Cooling System]>1e-06,( Expected Reference Marginal Cost* Reference U Value/(- Sensitivity of Marginal Cost to U Value+1))*((( Reference U Value/ U Value of Retrofitting Homes[ Cohort, Heating and Cooling System])^ Sensitivity of Marginal Cost to U Value-1)-(( Reference U Value/ Optimal U Value for Existing Homes[ Cohort, Heating and Cooling System])^( Sensitivity of Marginal Cost to U Value-1)))+ Fixed Cost per Unit Area[ Cohort],0),0) Description: Total cost of retrofit per square foot when the marginally optimal amount of U value is retrofitted away.Calculated as definite integral of marginal cost of retrofitting, which, at a given U, is Reference MC * (Ref. U / U Value) ^ Sensitivity. The total retrofit function is then found by taking the finite integral of the marginal cost function from the indicated optimal U value to the original U value and adding the fixed cost. This cost can be theoretically negative, but if so no retrofitting will take place as the retrofitting outflow is nonnegative.The "if" statement ensures there are no retrofit costs when there are no houses in a cohort. U value must be greater than 1e-6 as this is the threshold for ZIDZ used in calculating average U. Present In 4 Views:
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.housingagingchain v8 | #343 A |
White Noise (Dimensionless) = Noise Standard Deviation*((24* Noise Correlation Time/ TIME STEP)^0.5*(RANDOM 0 1()-0.5)) Description: White noise input to the pink noise process. Present In 1 View: Used By
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.housingagingchain v8 | #341 A |
White Noise 0 (Dimensionless) = Noise Standard Deviation 0*((24* Noise Correlation Time 0/ TIME STEP)^0.5*(RANDOM 0 1()-0.5)) Description: White noise input to the pink noise process. Present In 1 View: Used By
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HeatPumpModel_v31 | #342 A |
White Noise 1 (Dimensionless) = Noise Standard Deviation 1*((24* Noise Correlation Time 1/ TIME STEP)^0.5*(RANDOM 0 1()-0.5)) Description: White noise input to the pink noise process. Present In 1 View: Used By
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.Control | #289 A |
SAVEPER (Year ) = TIME STEP Description: The frequency with which output is stored. Present In 0 Views: |
Top | (Type) Subscripts (19 Variables) | ||
Variable Name And Description | HeatPumpModel_v31 | #-1 Sub |
Backup Heating () Backup Heating:Heat Pump and Gas, Heat Pump and Oil Present In 0 Views: |
HeatPumpModel_v31 | #-2 Sub |
Central AC Cooling () Central AC Cooling:Gas and Central AC, Oil and Central AC Present In 4 Views: Used By
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. | #-3 Sub |
Cohort () Cohort:Before 1950, From 1950 to 1959, From 1960 to 1969, From 1970 to 1979, From 1980 to 1989, From 1990 to 1999, From 2000 to 2009, From 2010 to 2020, From 2021 to 2030, From 2031 to 2040, From 2041 to 2050 Present In 13 Views:
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HeatPumpModel_v31 | #-4 Sub |
Fossil Fuel Heating () Fossil Fuel Heating:Gas and Central AC, Gas and Window AC, Gas and No AC, Oil and Central AC, Oil and Window AC, Oil and No AC Present In 10 Views:
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HeatPumpModel_v31 | #-5 Sub |
Gas and Window or No AC () Gas and Window or No AC:Gas and Window AC, Gas and No AC Present In 1 View: Used By
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HeatPumpModel_v31 | #-6 Sub |
Gas Heating () Gas Heating:Gas and Central AC, Gas and Window AC, Gas and No AC Present In 6 Views:
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HeatPumpModel_v31 | #-7 Sub |
Heat Pump Heating and Cooling () Heat Pump Heating and Cooling:Heat Pump Only, Heat Pump and Gas, Heat Pump and Oil Description: Houses that use heat pumps as their primary source for both heating and cooling. Present In 12 Views:
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HeatPumpModel_v31 | #-9 Sub |
Heating () Heating:Heat Pump, Gas, Oil Present In 0 Views: |
HeatPumpModel_v31 | #-8 Sub |
Heating and Cooling System () Heating and Cooling System:Heat Pump Only, Heat Pump and Gas, Heat Pump and Oil, Gas and Central AC, Gas and Window AC, Gas and No AC, Oil and Central AC, Oil and Window AC, Oil and No AC Present In 14 Views:
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HeatPumpModel_v31 | #-10 Sub |
New Cohorts () New Cohorts:From 2021 to 2030, From 2031 to 2040, From 2041 to 2050 Present In 0 Views: |
HeatPumpModel_v31 | #-11 Sub |
No AC Cooling () No AC Cooling:Gas and No AC, Oil and No AC Present In 6 Views:
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HeatPumpModel_v31 | #-12 Sub |
Oil and Window or No AC () Oil and Window or No AC:Oil and Window AC, Oil and No AC Present In 1 View: Used By
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HeatPumpModel_v31 | #-13 Sub |
Oil Heating () Oil Heating:Oil and Central AC, Oil and Window AC, Oil and No AC Present In 6 Views:
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.housingagingchain v8 | #-14 Sub |
Preexisting Cohorts () Preexisting Cohorts:Before 1950, From 1950 to 1959, From 1960 to 1969, From 1970 to 1979, From 1980 to 1989, From 1990 to 1999, From 2000 to 2009, From 2010 to 2020 Present In 8 Views:
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HeatPumpModel_v31 | #-15 Sub |
Retrofit Cost () Retrofit Cost:Existing Housing, New Housing Present In 1 View: Used By
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HeatPumpModel_v31 | #-16 Sub |
Retrofitting Status () Retrofitting Status:Not Open to Retrofitting, Open to Retrofitting Present In 12 Views:
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HeatPumpModel_v31 | #-17 Sub |
Technology () Technology:Heat Pump, Central AC, Window AC, No AC, Gas, Oil Description: The individual technologies used to heat or cool homes. Present In 0 Views: |
HeatPumpModel_v31 | #-18 Sub |
Traditional Cooling () Traditional Cooling:Gas and Central AC, Gas and Window AC, Gas and No AC, Oil and Central AC, Oil and Window AC, Oil and No AC Present In 8 Views:
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HeatPumpModel_v31 | #-19 Sub |
Window AC Cooling () Window AC Cooling:Gas and Window AC, Oil and Window AC Present In 4 Views: Used By
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Top | (Type) Data (0 Variables) | ||
Variable Name And Description |
Top | (Type) Game (0 Variables) | ||
Variable Name And Description |
Top | (Type) Lookup (5 Variables) | ||
Variable Name And Description | HeatPumpModel_v31 | #136 A,T |
Gas COP TABLE (dmnl) Gas COP TABLE([(2020,0)-(2050,1)],(2020,0.9),(2030,0.925),(2040,0.95),(2050,0.95)) ![]() Description: Efficiency of gas systems over time. Taken as the average of projected efficiency for reference gas boilers and gas furnaces, from MassDEP's Energy Pathways for Deep Decarbonization Report (pg. 97): https://www.mass.gov/doc/energy-pathways-for-deep-decarbonization-report/download Present In 1 View: Used By
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HeatPumpModel_v31 | #138 A,T |
Heat Pump Cooling COP TABLE (dmnl) Heat Pump Cooling COP TABLE([(2020,0)-(2050,10)],(2020,4.3),(2030,4.8),(2040,5.17),(2050,5.28)) ![]() Description: The COP of heat pumps when used for cooling. Calculated by assuming the ratio of heating and cooling COP is constant over time -- as heating COP improves the ability to cool improves proportionally-- finding cooling COP in 2020, finding the COP for cooling of heating in 2018, and then using the ratio between the two in 2020 to project future values. Data on this was difficult to find.Projected heating COP from pg. 97 of MassDEP's Energy Pathways for Deep Decarbonization: https://www.mass.gov/doc/energy-pathways-for-deep-decarbonization-report/downloadCooling COP in 2020 here: https://www.raleighheatingandair.com/blog/is-a-heat-pump-more-effective-at-cooling-or-heating/ Present In 1 View: Used By
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HeatPumpModel_v31 | #140 A,T |
Heat Pump Heating COP TABLE (dmnl) Heat Pump Heating COP TABLE([(2020,0)-(2050,10)],(2020,2.485),(2030,2.785),(2040,2.99),(2050,3.05)) ![]() Description: The efficiency of heat pumps for heating, over time. Taken as the average of projected COP for reference ASHP and ductless mini-splits from MassDEP's Energy Pathways Report (pg. 97): https://www.mass.gov/doc/energy-pathways-for-deep-decarbonization-report/download Present In 1 View: Used By
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HeatPumpModel_v31 | #245 A,T |
Oil COP TABLE (dmnl) Oil COP TABLE([(2020,0)-(2050,1)],(2020,0.835),(2030,0.84),(2050,0.84)) ![]() Description: Efficiency of oil systems over time. Taken as the average of projected efficiency for reference distillate boilers and furnaces, from MassDEP's Energy Pathways for Deep Decarbonization Report (pg. 97): https://www.mass.gov/doc/energy-pathways-for-deep-decarbonization-report/download Present In 1 View: Used By
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HeatPumpModel_v31 | #336 A,T |
Unsubsidized Cost of Heat Pump Over Time TABLE (Dollar/ House) Unsubsidized Cost of Heat Pump Over Time TABLE([(2020,5000)-(2050,10000)],(2020,22000),(2030,20483.7 ),(2040,18967.3),(2050,17448.6)) ![]() Description: The cost of installing and buying a heat pump over time. Initial value taken from: https://www.masssave.com/en/residential/rebates-and-incentives/heating-and-cooling/heat-pumps/air-source-heat-pumps, and then assume that ratio of future prices to initial is the same as average of reference and ductless heat pumps in MassDEP's Energy Pathways Report (pg. 97): https://www.mass.gov/doc/energy-pathways-for-deep-decarbonization-report/download. (That is, I took the ratio of the initial price to the initial price in that report, then I multiplied that ratio times all projections of future heat pump prices). I was unable to use the MassDEP report's prices directly, because they are based on national estimates from NREL, and MA is typically a more expensive state. In particular, the MassDEP projections say that heat pumps cost only $9K, but MassSave subsidy is $10K!Assumes rates of change are linear between projected points. Present In 1 View: Used By
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Quick Links: | A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z |
HeatPumpModel_v31 | InOutLinks | Housing (House) | 6 | 30 | 0.20 | 3| 1| 2 | 25| 4| 1 |
HeatPumpModel_v31 | InOutLinks | Average Area (sf / House) | 2 | 16 | 0.12 | 2| 0| 0 | 16| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Input 1 (Dimensionless) | 15 | 1 | 15.00 | 11| 0| 4 | 1| 0| 0 |
.housingagingchain v8 | InOutLinks | Input 0 (Dimensionless) | 15 | 1 | 15.00 | 11| 0| 4 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | U Value by Grouping (kBTU / (sf * F * Year)) | 2 | 13 | 0.15 | 1| 1| 0 | 12| 0| 1 |
.housingagingchain v4 testing | InOutLinks | Optimal U Value for Existing Homes if no EEHIC Cap (kBTU / (sf * F * Year)) | 6 | 9 | 0.67 | 3| 3| 0 | 7| 1| 1 |
.housingagingchain v8 | InOutLinks | Input (Dimensionless) | 15 | 0 | Infinite | 10| 1| 4 | 0| 0| 0 |
.housingagingchain v4 testing | InOutLinks | Total Housing Stock (House) | 1 | 11 | 0.09 | 1| 0| 0 | 7| 4| 0 |
HeatPumpModel_v31 | InOutLinks | U Value at Which EEHIC Cap Binds (kBTU / (F * sf * Year)) | 8 | 2 | 4.00 | 5| 3| 0 | 2| 0| 0 |
.housingagingchain v5 testing | InOutLinks | Unsubsidized Retrofit Cost Intensity (Dollar / sf) | 6 | 3 | 2.00 | 1| 4| 1 | 3| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Total U Value (House * kBTU / (Year * F * sf) ) | 6 | 3 | 2.00 | 2| 2| 2 | 3| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Housing Starts (Houses / Year) | 4 | 5 | 0.80 | 3| 1| 0 | 5| 0| 0 |
.housingagingchain v15 | InOutLinks | Expected Reference Marginal Cost ((Dollar / sf) / (kBTU / (sf * Year * F))) | 2 | 7 | 0.29 | 2| 0| 0 | 5| 2| 0 |
.housingagingchain v15 | InOutLinks | Delay in Changing Subsidy Expectations (Year ) | 0 | 9 | 0.00 | 0| 0| 0 | 9| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Cooling System Efficiency (dmnl) | 4 | 5 | 0.80 | 4| 0| 0 | 0| 5| 0 |
HeatPumpModel_v31 | InOutLinks | Peak Load from Heat Pumps on Hottest Days per Group (kWH / Day) | 7 | 1 | 7.00 | 4| 3| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Peak Load from Heat Pumps on Coldest Days per Group (kWH / Day) | 7 | 1 | 7.00 | 4| 3| 0 | 1| 0| 0 |
.housingagingchain v18 | InOutLinks | Optimal U for New Homes (kBTU / (sf * Year * F)) | 6 | 2 | 3.00 | 4| 2| 0 | 1| 1| 0 |
HeatPumpModel_v31 | InOutLinks | Heating System Efficiency (dmnl) | 4 | 4 | 1.00 | 4| 0| 0 | 0| 4| 0 |
.housingagingchain v15 | InOutLinks | Expected MassSave Proportional Subsidy Rate for Retrofits (dmnl) | 3 | 5 | 0.60 | 3| 0| 0 | 2| 3| 0 |
HeatPumpModel_v31 | InOutLinks | Energy Use by Grouping (kBTU / Year) | 2 | 6 | 0.33 | 2| 0| 0 | 6| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Average Heating Energy Use (kBTU / (Year * House)) | 4 | 4 | 1.00 | 3| 1| 0 | 4| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Average Cooling Energy Use (kBTU / (Year * House)) | 4 | 4 | 1.00 | 3| 1| 0 | 4| 0| 0 |
.housingagingchain v15 | InOutLinks | Additional Cost of Building to U Value (Dollar / sf) | 7 | 1 | 7.00 | 3| 4| 0 | 0| 0| 1 |
.housingagingchain v5 testing | InOutLinks | Sensitivity of Marginal Cost to U Value (dmnl ) | 0 | 7 | 0.00 | 0| 0| 0 | 4| 3| 0 |
HeatPumpModel_v31 | InOutLinks | Retrofitting (House * kBTU / (sf * F* Year) / Year) | 4 | 3 | 1.33 | 2| 2| 0 | 2| 1| 0 |
.housingagingchain v9 | InOutLinks | Reference U Value (kBTU / (sf * Year * F) ) | 0 | 7 | 0.00 | 0| 0| 0 | 4| 2| 1 |
HeatPumpModel_v31 | InOutLinks | Net Change in Homes Retrofitting (Houses / Year) | 3 | 4 | 0.75 | 2| 1| 0 | 3| 0| 1 |
HeatPumpModel_v31 | InOutLinks | MassSave Implemented Lump Sum Subsidy for Heat Pumps (Dollar / House) | 5 | 2 | 2.50 | 2| 0| 3 | 2| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Houses Switching Sources (House / Year) | 3 | 4 | 0.75 | 3| 0| 0 | 3| 0| 1 |
.housingagingchain v15 | InOutLinks | Expected Subsidy for Retrofits (Dollar / House) | 6 | 1 | 6.00 | 4| 0| 2 | 0| 1| 0 |
HeatPumpModel_v31 | InOutLinks | Demolitions (House / Year) | 3 | 4 | 0.75 | 2| 1| 0 | 3| 1| 0 |
.housingagingchain v8 | InOutLinks | Area (sf) | 5 | 2 | 2.50 | 4| 1| 0 | 2| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Unsubsidized Cost of Heat Pumps (Dollar / House) | 2 | 4 | 0.50 | 0| 2| 0 | 4| 0| 0 |
.housingagingchain v8 | InOutLinks | Total Age (House * Year) | 4 | 2 | 2.00 | 2| 1| 1 | 2| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Present Value Replacement Cost (Dollar / House) | 5 | 1 | 5.00 | 2| 3| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Optimal U Value with No EEHIC Proportional Subsidy (kBTU / (sf * F * Year)) | 5 | 1 | 5.00 | 3| 2| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Optimal U Value for Existing Homes (kBTU / (sf * F * Year)) | 5 | 1 | 5.00 | 3| 0| 2 | 0| 1| 0 |
HeatPumpModel_v31 | InOutLinks | Optimal Heating Energy Use (kBTU / (House * Year)) | 4 | 2 | 2.00 | 3| 1| 0 | 2| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Optimal Cooling Energy Use (kBTU / (Year * House)) | 4 | 2 | 2.00 | 3| 1| 0 | 2| 0| 0 |
.housingagingchain v15 | InOutLinks | MassSave Expected Subsidy for Retrofits (Dollar / House) | 5 | 1 | 5.00 | 5| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | IRA Implemented Subsidy Proportional Rate for Heat Pumps (dmnl) | 4 | 2 | 2.00 | 1| 0| 3 | 2| 0| 0 |
.housingagingchain v15 | InOutLinks | Implemented MassSave Subsidy Proportional Rate for Retrofits (dmnl) | 4 | 2 | 2.00 | 1| 0| 3 | 2| 0| 0 |
.housingagingchain v15 | InOutLinks | Implemented MassSave Maximum Subsidy for Retrofits (Dollar / House) | 4 | 2 | 2.00 | 1| 0| 3 | 2| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Implemented IRA Maximum Proportional Subsidy for Heat Pumps (Dollar / House) | 4 | 2 | 2.00 | 1| 0| 3 | 2| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Implemented EEHIC Subsidy Proportional Rate for Retrofits (dmnl) | 4 | 2 | 2.00 | 1| 0| 3 | 2| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Implemented EEHIC Maximum Subsidy for Retrofits (Dollar / House) | 4 | 2 | 2.00 | 1| 0| 3 | 2| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Houses Retrofitting per Year (House / Year) | 4 | 2 | 2.00 | 1| 1| 2 | 2| 0| 0 |
.housingagingchain v15 | InOutLinks | HOMES Implemented Lower Subsidy (Dollar / House) | 4 | 2 | 2.00 | 1| 0| 3 | 2| 0| 0 |
HeatPumpModel_v31 | InOutLinks | HOMES Implemented High Subsidy (Dollar / House) | 4 | 2 | 2.00 | 1| 0| 3 | 2| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Heating Energy Use Under Alternatives (kBTU / (House * Year)) | 5 | 1 | 5.00 | 4| 1| 0 | 1| 0| 0 |
.housingagingchain v15 | InOutLinks | Expected Heating Energy Price (Dollar / kBTU) | 2 | 4 | 0.50 | 2| 0| 0 | 4| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Expected EEHIC Proportional Subsidy Rate for Retrofits (dmnl) | 3 | 3 | 1.00 | 3| 0| 0 | 2| 1| 0 |
HeatPumpModel_v31 | InOutLinks | Expected Cooling Energy Price (Dollar / kBTU) | 2 | 4 | 0.50 | 2| 0| 0 | 4| 0| 0 |
HeatPumpModel_v31 | InOutLinks | EEHIC Expected Subsidy for Retrofits (Dollar / House) | 5 | 1 | 5.00 | 5| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Cooling Energy Use Under Alternatives (kBTU / (House * Year)) | 5 | 1 | 5.00 | 4| 1| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Average Area of Housing Starts (sf / House) | 4 | 2 | 2.00 | 2| 2| 0 | 1| 1| 0 |
.housingagingchain v8 | InOutLinks | Active Cohort Indicator (dmnl) | 5 | 1 | 5.00 | 0| 0| 5 | 1| 0| 0 |
.housingagingchain v8 | InOutLinks | Unsubsidized Retrofit Cost (Dollar / House) | 2 | 3 | 0.67 | 2| 0| 0 | 3| 0| 0 |
.housingagingchain v15 | InOutLinks | Subsidized Retrofit Cost (Dollar /House) | 3 | 2 | 1.50 | 2| 1| 0 | 2| 0| 0 |
.housingagingchain v5 testing | InOutLinks | Present Value of Heating Operating Costs (Dollar / (House)) | 4 | 1 | 4.00 | 3| 1| 0 | 1| 0| 0 |
.housingagingchain v5 testing | InOutLinks | Present Value of Cooling Operating Costs (Dollars / (House)) | 4 | 1 | 4.00 | 3| 1| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Marginal Cost at Binding U Value without EEHIC ((Dollar / sf) / (kBTU / (sf * F * Year))) | 4 | 1 | 4.00 | 3| 1| 0 | 0| 0| 1 |
HeatPumpModel_v31 | InOutLinks | Lifetime Marginal Cost Reductions from Retrofitting (Dollar * Year * F / kBTU) | 2 | 3 | 0.67 | 1| 1| 0 | 0| 2| 1 |
HeatPumpModel_v31 | InOutLinks | IRA Expected Proportional Subsidy for Heat Pumps (Dollar / House) | 4 | 1 | 4.00 | 4| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Housing by Heating and Cooling System (House) | 1 | 4 | 0.25 | 1| 0| 0 | 4| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Housing by Cohort and Retrofitting Status (House) | 1 | 4 | 0.25 | 1| 0| 0 | 3| 0| 1 |
HeatPumpModel_v31 | InOutLinks | Federal Annual Retrofit Subsidy (Dollar / Year) | 3 | 2 | 1.50 | 3| 0| 0 | 2| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Discount Rate (1 / Year ) | 0 | 5 | 0.00 | 0| 0| 0 | 1| 4| 0 |
.housingagingchain v18 | InOutLinks | Code U (kBTU / (sf * Year * F)) | 2 | 3 | 0.67 | 1| 1| 0 | 3| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Actual HOMES Subsidy for Retrofits (Dollar/ Home) | 4 | 1 | 4.00 | 2| 0| 2 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | White Noise 1 (Dimensionless) | 3 | 1 | 3.00 | 2| 1| 0 | 1| 0| 0 |
.housingagingchain v8 | InOutLinks | White Noise 0 (Dimensionless) | 3 | 1 | 3.00 | 2| 1| 0 | 1| 0| 0 |
.housingagingchain v8 | InOutLinks | White Noise (Dimensionless) | 3 | 1 | 3.00 | 2| 1| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | U Value Shift from Source Switching (House * kBTU / (Year * F * sf) / Year) | 2 | 2 | 1.00 | 2| 0| 0 | 1| 0| 1 |
.housingagingchain v18 | InOutLinks | U Value of Housing Starts (kBTU / (Year * F * sf)) | 3 | 1 | 3.00 | 2| 0| 1 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Total Present Value of Cost (Dollar / House) | 3 | 1 | 3.00 | 3| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Total Heat Pump Sales (House / Year) | 1 | 3 | 0.33 | 1| 0| 0 | 3| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Subsidized Cost of Heat Pumps (Dollar / House) | 2 | 2 | 1.00 | 1| 1| 0 | 2| 0| 0 |
.housingagingchain v15 | InOutLinks | Proportional Subsidy Switch for Retrofits (dmnl ) | 0 | 4 | 0.00 | 0| 0| 0 | 4| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Perceived Cost of Retrofitting (Dollar / (House * Year)) | 3 | 1 | 3.00 | 3| 0| 0 | 0| 1| 0 |
HeatPumpModel_v31 | InOutLinks | Massachusetts Annual Retrofit Subsidy (Dollar / Year) | 2 | 2 | 1.00 | 2| 0| 0 | 2| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Massachusetts Annual Heat Pumps Subsidy (Dollar / Year) | 2 | 2 | 1.00 | 2| 0| 0 | 2| 0| 0 |
.housingagingchain v5 testing | InOutLinks | Marginal Heating Cost Reduction from Retrofitting (Dollar * F / (kBTU)) | 3 | 1 | 3.00 | 2| 1| 0 | 1| 0| 0 |
.housingagingchain v15 | InOutLinks | Marginal Cost Reductions from Retrofitting (Dollar * F / kBTU) | 2 | 2 | 1.00 | 2| 0| 0 | 1| 1| 0 |
HeatPumpModel_v31 | InOutLinks | Marginal Cooling Cost Reduction from Retrofitting (Dollar * F / (kBTU)) | 3 | 1 | 3.00 | 2| 1| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | IRA Actual Subsidy for Heat Pumps (Dollar / House) | 3 | 1 | 3.00 | 3| 0| 0 | 1| 0| 0 |
.housingagingchain v8 | InOutLinks | Initial Age (House * Year) | 3 | 1 | 3.00 | 0| 0| 3 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Indicated Homes Retrofitting (House) | 2 | 2 | 1.00 | 2| 0| 0 | 2| 0| 0 |
.housingagingchain v15 | InOutLinks | HOMES Expected Lower Lump Sum Subsidy (Dollar / House) | 2 | 2 | 1.00 | 2| 0| 0 | 2| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Heating Degree Days (F ) | 0 | 4 | 0.00 | 0| 0| 0 | 4| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Federal Annual Heat Pump Subsidy (Dollar / Year) | 2 | 2 | 1.00 | 2| 0| 0 | 2| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Expected IRA Proportional Subsidy Rate for Heat Pumps (dmnl) | 3 | 1 | 3.00 | 3| 0| 0 | 1| 0| 0 |
.housingagingchain v15 | InOutLinks | Expected Fixed Cost (Dollar / House) | 2 | 2 | 1.00 | 2| 0| 0 | 2| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Expected EEHIC Maximum Subsidy for Retrofits (Dollar / House) | 2 | 2 | 1.00 | 2| 0| 0 | 1| 1| 0 |
HeatPumpModel_v31 | InOutLinks | Energy Savings (dmnl) | 2 | 2 | 1.00 | 2| 0| 0 | 0| 0| 2 |
HeatPumpModel_v31 | InOutLinks | Emissions by Grouping (tCO2 / Year) | 2 | 2 | 1.00 | 2| 0| 0 | 2| 0| 0 |
.housingagingchain v15 | InOutLinks | Cost of Switching Heating and Cooling Systems (Dollar / House) | 3 | 1 | 3.00 | 3| 0| 0 | 0| 1| 0 |
HeatPumpModel_v31 | InOutLinks | Cooling Degree Days (F ) | 0 | 4 | 0.00 | 0| 0| 0 | 4| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Change in AC Noise 1 (1/Year) | 3 | 1 | 3.00 | 2| 1| 0 | 1| 0| 0 |
.housingagingchain v8 | InOutLinks | Change in AC Noise 0 (1/Year) | 3 | 1 | 3.00 | 2| 1| 0 | 1| 0| 0 |
.housingagingchain v8 | InOutLinks | Change in AC Noise (1/Year) | 3 | 1 | 3.00 | 2| 1| 0 | 1| 0| 0 |
.housingagingchain v5 testing | InOutLinks | Average Heating Cost (Dollar / (Year * House)) | 2 | 2 | 1.00 | 2| 0| 0 | 2| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Average Energy Use (kBTU / (Year * House)) | 2 | 2 | 1.00 | 2| 0| 0 | 2| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Average Emissions from Heating by Grouping (tCO2 / (House * Year)) | 3 | 1 | 3.00 | 2| 1| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Average Emissions from Cooling by Grouping (tCO2 / (House * Year)) | 3 | 1 | 3.00 | 2| 1| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Average Cooling Cost (Dollar / (Year * House)) | 2 | 2 | 1.00 | 2| 0| 0 | 2| 0| 0 |
.housingagingchain v8 | InOutLinks | Average Age (Year) | 2 | 2 | 1.00 | 2| 0| 0 | 2| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Annual Retrofit Subsidy (Dollar / Year) | 2 | 2 | 1.00 | 2| 0| 0 | 2| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Annual Heat Pump Subsidy (Dollar / Year) | 2 | 2 | 1.00 | 2| 0| 0 | 2| 0| 0 |
.housingagingchain v15 | InOutLinks | Amoritized Subsidized Retrofit Cost (Dollar / (House * Year)) | 2 | 2 | 1.00 | 1| 1| 0 | 2| 0| 0 |
.housingagingchain v4 testing | InOutLinks | Affinity of Retrofitting (dmnl) | 3 | 1 | 3.00 | 1| 2| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Affinity of Not Retrofitting (dmnl) | 3 | 1 | 3.00 | 1| 2| 0 | 0| 1| 0 |
HeatPumpModel_v31 | InOutLinks | Affinity of Heating and Cooling Systems (dmnl) | 3 | 1 | 3.00 | 1| 2| 0 | 0| 0| 1 |
HeatPumpModel_v31 | InOutLinks | Actual MassSave Subsidy for Retrofits (Dollar / House) | 3 | 1 | 3.00 | 3| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Actual EEHIC Subsidy for Retrofits (Dollar / House) | 3 | 1 | 3.00 | 3| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | U Value of Retrofitting Homes (kBTU / (sf * Year * F)) | 1 | 2 | 0.50 | 1| 0| 0 | 1| 1| 0 |
HeatPumpModel_v31 | InOutLinks | U Value Loss from Demolition (House * kBTU / (Year * F * sf) / Year) | 2 | 1 | 2.00 | 2| 0| 0 | 0| 1| 0 |
HeatPumpModel_v31 | InOutLinks | Total Heating Energy Use (kBTU/ Year) | 2 | 1 | 2.00 | 2| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Total Heating Cost (Dollar / Year) | 2 | 1 | 2.00 | 2| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Total Cost of Ownership of Retrofitted Homes (Dollar / (House * Year)) | 2 | 1 | 2.00 | 2| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Total Cooling Energy Use (kBTU/ Year) | 2 | 1 | 2.00 | 2| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Total Cooling Cost (Dollar / Year) | 2 | 1 | 2.00 | 2| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Soft Costs of Retrofitting (Dollar / Home) | 2 | 1 | 2.00 | 2| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Present Value of Operating Costs (Dollar / (House) ) | 2 | 1 | 2.00 | 2| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Perceived Cost of Not Retrofitting (Dollar / (House * Year)) | 2 | 1 | 2.00 | 1| 1| 0 | 0| 1| 0 |
HeatPumpModel_v31 | InOutLinks | Optimal U Across All Housing (kBTU / (sf * F * Year)) | 3 | 0 | Infinite | 2| 1| 0 | 0| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Optimal Heating Cost (Dollar / (Year * House)) | 2 | 1 | 2.00 | 2| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Optimal Energy Cost (Dollar / (Year * House)) | 2 | 1 | 2.00 | 2| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Optimal Cooling Cost (Dollar / (Year * House)) | 2 | 1 | 2.00 | 2| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Net U Value Change from Retrofitting Home Shifts (House * kBTU / (Year * F * sf) / Year) | 2 | 1 | 2.00 | 2| 0| 0 | 0| 0| 1 |
.housingagingchain v8 | InOutLinks | Net Area Shift by System (sf / Year) | 2 | 1 | 2.00 | 2| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Net Age Shift by System (Year * House / Year) | 2 | 1 | 2.00 | 2| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | MassSave Subsidy for Retrofits Final Year (Year) | 1 | 2 | 0.50 | 1| 0| 0 | 0| 0| 2 |
HeatPumpModel_v31 | InOutLinks | MassSave Expected Lump Sum Subsidy for Heat Pumps (Dollar / House) | 2 | 1 | 2.00 | 2| 0| 0 | 1| 0| 0 |
.housingagingchain v15 | InOutLinks | Initial U Value (House * kBTU / (Year * F * sf)) | 2 | 1 | 2.00 | 2| 0| 0 | 1| 0| 0 |
.housingagingchain v5 testing | InOutLinks | Initial Homes Retrofitting (Houses) | 2 | 1 | 2.00 | 2| 0| 0 | 1| 0| 0 |
.housingagingchain v5 testing | InOutLinks | Initial Homes Not Retrofitting (House) | 2 | 1 | 2.00 | 1| 1| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Indicated Fraction of Homes Retrofitting (dmnl) | 2 | 1 | 2.00 | 1| 1| 0 | 1| 0| 0 |
.housingagingchain v18 | InOutLinks | Increase in U Value from Housing Starts (House * kBTU / (Year * F * sf) / Year) | 2 | 1 | 2.00 | 2| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Houses Considering Switching System (Houses / Year) | 2 | 1 | 2.00 | 1| 1| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | HOMES Expected Higher Subsidy (Dollar / House) | 2 | 1 | 2.00 | 2| 0| 0 | 1| 0| 0 |
.housingagingchain v5 testing | InOutLinks | Heating Energy Price (Dollar / (kBTU)) | 2 | 1 | 2.00 | 2| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Fraction of Houses in Each Heating and Cooling System (dmnl) | 3 | 0 | Infinite | 3| 0| 0 | 0| 0| 0 |
.housingagingchain v5 testing | InOutLinks | Fixed Cost per Unit Area (Dollar / sf) | 2 | 1 | 2.00 | 2| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Expected Subsidy for Heat Pumps (Dollar / House) | 2 | 1 | 2.00 | 2| 0| 0 | 0| 1| 0 |
HeatPumpModel_v31 | InOutLinks | Expected Maximum IRA Proportional Subsidy for Heat Pumps (Dollar / House) | 2 | 1 | 2.00 | 2| 0| 0 | 1| 0| 0 |
.housingagingchain v15 | InOutLinks | Expected MassSave Maximum Subsidy for Retrofits (Dollar / House) | 2 | 1 | 2.00 | 2| 0| 0 | 1| 0| 0 |
.housingagingchain v15 | InOutLinks | Expected Lump Sum Subsidy Intensity (Dollar / sf) | 2 | 1 | 2.00 | 1| 1| 0 | 0| 1| 0 |
HeatPumpModel_v31 | InOutLinks | Emissions (tCO2 / Year) | 1 | 2 | 0.50 | 1| 0| 0 | 2| 0| 0 |
.housingagingchain v18 | InOutLinks | Decrease in Code U (kBTU / (sf * Year * F) / Year) | 2 | 1 | 2.00 | 2| 0| 0 | 0| 1| 0 |
HeatPumpModel_v31 | InOutLinks | Days per Year (Day / Year ) | 0 | 3 | 0.00 | 0| 0| 0 | 0| 3| 0 |
HeatPumpModel_v31 | InOutLinks | Cost of Heating System Replacement (Dollar / House ) | 1 | 2 | 0.50 | 1| 0| 0 | 2| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Cost of Cooling System Replacement (Dollar / House) | 1 | 2 | 0.50 | 1| 0| 0 | 2| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Cooling Energy Price (Dollar / kBTU) | 2 | 1 | 2.00 | 2| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Average U Value of Houses Switching Into Sources (kBTU / (sf * F * Year)) | 3 | 0 | Infinite | 3| 0| 0 | 0| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Average Lifetime of Cooling Technology (Years) | 1 | 2 | 0.50 | 1| 0| 0 | 1| 1| 0 |
HeatPumpModel_v31 | InOutLinks | Average EUI by Grouping (kBTU / (sf * Year)) | 3 | 0 | Infinite | 3| 0| 0 | 0| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Average Energy Use in All Housing (kBTU / Year / House) | 2 | 1 | 2.00 | 1| 1| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Average Energy Cost (Dollar / (Year * House)) | 2 | 1 | 2.00 | 2| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Average Emissions by Grouping (tCO2 / (Year * House)) | 2 | 1 | 2.00 | 2| 0| 0 | 1| 0| 0 |
.housingagingchain v8 | InOutLinks | Average Area in All Housing (sf/ House) | 2 | 1 | 2.00 | 2| 0| 0 | 0| 1| 0 |
HeatPumpModel_v31 | InOutLinks | Autocorrelated Noise 1 (Dimensionless) | 1 | 2 | 0.50 | 1| 0| 0 | 1| 1| 0 |
.housingagingchain v8 | InOutLinks | Autocorrelated Noise 0 (Dimensionless) | 1 | 2 | 0.50 | 1| 0| 0 | 1| 1| 0 |
.housingagingchain v8 | InOutLinks | Autocorrelated Noise (Dimensionless) | 1 | 2 | 0.50 | 1| 0| 0 | 1| 1| 0 |
.housingagingchain v8 | InOutLinks | Area Removal (sf /Year) | 2 | 1 | 2.00 | 2| 0| 0 | 0| 1| 0 |
.housingagingchain v8 | InOutLinks | Area of New Homes (sf / Year) | 2 | 1 | 2.00 | 2| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Annual MA Subsidies (Dollar / Year) | 2 | 1 | 2.00 | 2| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Annual Federal Subsidies (Dollar / Year) | 2 | 1 | 2.00 | 2| 0| 0 | 1| 0| 0 |
.housingagingchain v8 | InOutLinks | Aging (House * Year / Year) | 2 | 1 | 2.00 | 2| 0| 0 | 1| 0| 0 |
.housingagingchain v8 | InOutLinks | Age Removal (House * Year /Year) | 2 | 1 | 2.00 | 2| 0| 0 | 0| 1| 0 |
HeatPumpModel_v31 | InOutLinks | Weight on Upfront Cost (dmnl ) | 0 | 2 | 0.00 | 0| 0| 0 | 1| 1| 0 |
HeatPumpModel_v31 | InOutLinks | U Value Increase from Source Switching (kBTU*House/(Year*Year*sf*F)) | 1 | 1 | 1.00 | 1| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Total U Value by Heating and Cooling System (House * kBTU / (sf * F * Year)) | 1 | 1 | 1.00 | 1| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Total U Value by Cohort (House * kBTU / (sf * F * Year)) | 1 | 1 | 1.00 | 1| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Total U Value Across All Groupings (House * kBTU / (sf * F * Year)) | 1 | 1 | 1.00 | 1| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Total Energy Use (kBTU / Year) | 1 | 1 | 1.00 | 1| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Total Cost of Ownership of Average Home (Dollar / (Year * House)) | 1 | 1 | 1.00 | 1| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Total Area (sf) | 1 | 1 | 1.00 | 1| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Sensitivity of Retrofits to Cost (dmnl ) | 0 | 2 | 0.00 | 0| 0| 0 | 0| 2| 0 |
HeatPumpModel_v31 | InOutLinks | Retrofit Delay (Year ) | 0 | 2 | 0.00 | 0| 0| 0 | 1| 1| 0 |
HeatPumpModel_v31 | InOutLinks | Reference Retrofit Cost (Dollar / (House * Year) ) | 0 | 2 | 0.00 | 0| 0| 0 | 2| 0| 0 |
.housingagingchain v15 | InOutLinks | Proportional MassSave Subsidy Implementation Year for Retrofits (Year ) | 0 | 2 | 0.00 | 0| 0| 0 | 0| 0| 2 |
HeatPumpModel_v31 | InOutLinks | Proportional IRA Subsidy Switch for Heat Pumps (dmnl ) | 0 | 2 | 0.00 | 0| 0| 0 | 2| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Proportional EEHIC Subsidy Implementation Year for Retrofits (Year ) | 0 | 2 | 0.00 | 0| 0| 0 | 0| 0| 2 |
HeatPumpModel_v31 | InOutLinks | Pounds per Ton (lb CO2 / tCO2) | 0 | 2 | 0.00 | 0| 0| 0 | 0| 2| 0 |
HeatPumpModel_v31 | InOutLinks | Optimal Energy Use (kBTU / (House * Year)) | 2 | 0 | Infinite | 2| 0| 0 | 0| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Noise Correlation Time 1 (Year) | 0 | 2 | 0.00 | 0| 0| 0 | 2| 0| 0 |
.housingagingchain v8 | InOutLinks | Noise Correlation Time 0 (Year) | 0 | 2 | 0.00 | 0| 0| 0 | 2| 0| 0 |
.housingagingchain v8 | InOutLinks | Noise Correlation Time (Year) | 0 | 2 | 0.00 | 0| 0| 0 | 2| 0| 0 |
HeatPumpModel_v31 | InOutLinks | No Turnover Switch (dmnl ) | 0 | 2 | 0.00 | 0| 0| 0 | 0| 2| 0 |
HeatPumpModel_v31 | InOutLinks | Net Area Shift due to Retrofit Status Switching (sf / Year) | 1 | 1 | 1.00 | 1| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Net Age Shift from Retrofitting Status Shifting (House * Year / Year) | 1 | 1 | 1.00 | 1| 0| 0 | 0| 0| 1 |
HeatPumpModel_v31 | InOutLinks | Monthly Total Heat Pump Sales (Houses/ Month) | 2 | 0 | Infinite | 1| 1| 0 | 0| 0| 0 |
HeatPumpModel_v31 | InOutLinks | kBTU per kWH (kBTU / kWH ) | 0 | 2 | 0.00 | 0| 0| 0 | 0| 2| 0 |
HeatPumpModel_v31 | InOutLinks | IRA Proportional Subsidy Implementation Year for Heat Pumps (Year ) | 0 | 2 | 0.00 | 0| 0| 0 | 0| 0| 2 |
HeatPumpModel_v31 | InOutLinks | IRA Lump Sum Subsidy for Heat Pumps Final Year (Year ) | 0 | 2 | 0.00 | 0| 0| 0 | 0| 0| 2 |
HeatPumpModel_v31 | InOutLinks | Initial Housing (House) | 0 | 2 | 0.00 | 0| 0| 0 | 2| 0| 0 |
. | InOutLinks | Initial Housing Starts (House/Year) | 2 | 0 | Infinite | 0| 0| 2 | 0| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Initial Fraction of Homes Retrofitting (dmnl ) | 0 | 2 | 0.00 | 0| 0| 0 | 1| 1| 0 |
HeatPumpModel_v31 | InOutLinks | Housing Starts In Each Cohort (House / Year) | 1 | 1 | 1.00 | 1| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Housing by Retrofitting Status (House) | 1 | 1 | 1.00 | 1| 0| 0 | 0| 0| 1 |
HeatPumpModel_v31 | InOutLinks | Housing by Cohort and Heating and Cooling System (Houses) | 1 | 1 | 1.00 | 1| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Houses Switching Into Sources (Houses / Year) | 1 | 1 | 1.00 | 1| 0| 0 | 1| 0| 0 |
.housingagingchain v15 | InOutLinks | HOMES Subsidy Implementation Year (Year ) | 0 | 2 | 0.00 | 0| 0| 0 | 0| 0| 2 |
HeatPumpModel_v31 | InOutLinks | HOMES Subsidy Final Year (Year) | 0 | 2 | 0.00 | 0| 0| 0 | 0| 0| 2 |
HeatPumpModel_v31 | InOutLinks | HOMES Cut Off for Savings (dmnl ) | 0 | 2 | 0.00 | 0| 0| 0 | 0| 0| 2 |
HeatPumpModel_v31 | InOutLinks | Fraction Retrofitting by Cohort (dmnl) | 1 | 1 | 1.00 | 1| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Fraction of Housing by Heating and Cooling System (dmnl) | 2 | 0 | Infinite | 1| 1| 0 | 0| 0| 0 |
.housingagingchain v5 testing | InOutLinks | Fraction of Houses Switching (dmnl) | 1 | 1 | 1.00 | 0| 0| 1 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Emissions by Heating and Cooling System (tCO2 / Year) | 1 | 1 | 1.00 | 1| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | EEHIC Subsidy for Retrofits Final Year (Year) | 0 | 2 | 0.00 | 0| 0| 0 | 0| 0| 2 |
.housingagingchain v15 | InOutLinks | Delay in Forming Expectations of Retrofit Costs (Year ) | 0 | 2 | 0.00 | 0| 0| 0 | 2| 0| 0 |
.housingagingchain v15 | InOutLinks | Delay in Forming Expectations of Energy Price (Year ) | 0 | 2 | 0.00 | 0| 0| 0 | 2| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Cumulative Subsidy for Retrofits (Dollar) | 1 | 1 | 1.00 | 1| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Cumulative Subsidies for Heat Pumps (Dollar) | 1 | 1 | 1.00 | 1| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Cumulative Subsidies (Dollar) | 2 | 0 | Infinite | 2| 0| 0 | 0| 0| 0 |
.housingagingchain v8 | InOutLinks | Cohort Duration (Year ) | 0 | 2 | 0.00 | 0| 0| 0 | 0| 0| 2 |
.housingagingchain v4 testing | InOutLinks | Average U Value in All Housing (kBTU / (sf * F * Year)) | 2 | 0 | Infinite | 2| 0| 0 | 0| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Average U Value by Heating and Cooling System (kBTU / (sf * F * Year)) | 2 | 0 | Infinite | 2| 0| 0 | 0| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Average Subsidized Retrofit Cost (Dollar / House) | 2 | 0 | Infinite | 1| 0| 1 | 0| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Average Lifetime of Heating Technology (Year) | 0 | 2 | 0.00 | 0| 0| 0 | 1| 1| 0 |
HeatPumpModel_v31 | InOutLinks | Average Indicated Fraction of Homes Retrofitting (dmnl) | 2 | 0 | Infinite | 1| 1| 0 | 0| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Average Heating Energy Use Across All Homes (kBTU / (Year * House)) | 2 | 0 | Infinite | 2| 0| 0 | 0| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Average Heating Cost Across All Homes (Dollar / Year / House) | 2 | 0 | Infinite | 2| 0| 0 | 0| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Average EUI in All Housing (kBTU / (sf * Year)) | 2 | 0 | Infinite | 1| 1| 0 | 0| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Average Energy Use by Heating and Cooling System (kBTU / (House * Year)) | 2 | 0 | Infinite | 2| 0| 0 | 0| 0| 0 |
.housingagingchain v8 | InOutLinks | Average Energy Costs if Retrofitted (Dollar/(Year*House)) | 1 | 1 | 1.00 | 1| 0| 0 | 1| 0| 0 |
.housingagingchain v15 | InOutLinks | Average Energy Costs for Retrofitting Home (Dollar / Year / House) | 1 | 1 | 1.00 | 1| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Average Emissions by Heating and Cooling System (tCO2 / Year / House) | 2 | 0 | Infinite | 2| 0| 0 | 0| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Average Emissions (tCO2 / House / Year) | 2 | 0 | Infinite | 2| 0| 0 | 0| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Average Daily Load from Heat Pumps (kBTU / Day) | 2 | 0 | Infinite | 1| 1| 0 | 0| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Average Cooling Energy Use Across All Homes (kBTU / Year / House) | 2 | 0 | Infinite | 2| 0| 0 | 0| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Average Cooling Cost Across All Homes (Dollar / House/ Year) | 2 | 0 | Infinite | 1| 1| 0 | 0| 0| 0 |
.housingagingchain v8 | InOutLinks | Average Age in All Housing (Year) | 2 | 0 | Infinite | 2| 0| 0 | 0| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Annual Subsidies (Dollar / Year) | 2 | 0 | Infinite | 2| 0| 0 | 0| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Annual Load from Heat Pumps (kBTU / Year) | 1 | 1 | 1.00 | 1| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Unsubsidized Cost of Heat Pump Over Time TABLE (Dollar/ House) | 0 | 1 | 0.00 | 0| 0| 0 | 0| 1| 0 |
HeatPumpModel_v31 | InOutLinks | U Value Retrofitted Away (House * kBTU / (Year * F * sf)) | 1 | 0 | Infinite | 1| 0| 0 | 0| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Total Initial Housing Starts (Houses / Year ) | 0 | 1 | 0.00 | 0| 0| 0 | 0| 0| 1 |
HeatPumpModel_v31 | InOutLinks | Total Housing Starts (House/ Year) | 1 | 0 | Infinite | 1| 0| 0 | 0| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Time to Decide to Retrofit (Year ) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | System Switching SWITCH (dmnl ) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Step Time 1 (Year) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
.housingagingchain v8 | InOutLinks | Step Time 0 (Year) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
.housingagingchain v8 | InOutLinks | Step Time (Year) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Sine Period 1 (Year) | 0 | 1 | 0.00 | 0| 0| 0 | 0| 0| 1 |
.housingagingchain v8 | InOutLinks | Sine Period 0 (Year) | 0 | 1 | 0.00 | 0| 0| 0 | 0| 0| 1 |
.housingagingchain v8 | InOutLinks | Sine Period (Year) | 0 | 1 | 0.00 | 0| 0| 0 | 0| 0| 1 |
HeatPumpModel_v31 | InOutLinks | Sine Amplitude 1 (Dimensionless) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
.housingagingchain v8 | InOutLinks | Sine Amplitude 0 (Dimensionless) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
.housingagingchain v8 | InOutLinks | Sine Amplitude (Dimensionless) | 0 | 1 | 0.00 | 0| 0| 0 | 0| 1| 0 |
HeatPumpModel_v31 | InOutLinks | Sensitivity of Affinity to Cost (dmnl ) | 0 | 1 | 0.00 | 0| 0| 0 | 0| 1| 0 |
HeatPumpModel_v31 | InOutLinks | Retrofitting Across Cohorts and Systems (House * kBTU / ( Year * Year * sf * F)) | 1 | 0 | Infinite | 1| 0| 0 | 0| 0| 0 |
.housingagingchain v5 testing | InOutLinks | Reference Marginal Cost (Dollar / sf / (kBTU / (sf * Year * F)) ) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Reference Lifetime Cost of Heating and Cooling Systems (Dollar / House ) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Ramp Start Time 1 (Year) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
.housingagingchain v8 | InOutLinks | Ramp Start Time 0 (Year) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
.housingagingchain v8 | InOutLinks | Ramp Start Time (Year) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Ramp End Time 1 (Year) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
.housingagingchain v8 | InOutLinks | Ramp End Time 0 (Year) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
.housingagingchain v8 | InOutLinks | Ramp End Time (Year) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Pulse Time 1 (Year) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
.housingagingchain v8 | InOutLinks | Pulse Time 0 (Year) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
.housingagingchain v8 | InOutLinks | Pulse Time (Year) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Peak Heating Load on Grid (kWH / Day) | 1 | 0 | Infinite | 1| 0| 0 | 0| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Peak Cooling Load on Grid (kWH / Day) | 1 | 0 | Infinite | 1| 0| 0 | 0| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Oil COP TABLE (dmnl) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Noise Start Time 1 (Year) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
.housingagingchain v8 | InOutLinks | Noise Start Time 0 (Year) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
.housingagingchain v8 | InOutLinks | Noise Start Time (Year) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Noise Standard Deviation 1 (Dimensionless) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
.housingagingchain v8 | InOutLinks | Noise Standard Deviation 0 (Dimensionless) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
.housingagingchain v8 | InOutLinks | Noise Standard Deviation (Dimensionless) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Months per Year (Month / Year ) | 0 | 1 | 0.00 | 0| 0| 0 | 0| 1| 0 |
.housingagingchain v15 | InOutLinks | MassSave Maximum Subsidy for Retrofits (Dollar / House ) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | MassSave Lump Sum Subsidy Implementation Year for Heat Pumps (Year ) | 0 | 1 | 0.00 | 0| 0| 0 | 0| 0| 1 |
HeatPumpModel_v31 | InOutLinks | MassSave Lump Sum Subsidy for Heat Pumps Final Year (Year) | 0 | 1 | 0.00 | 0| 0| 0 | 0| 0| 1 |
HeatPumpModel_v31 | InOutLinks | MassSave Lump Sum Subsidy Amount for Heat Pumps (Dollar / House ) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
.housingagingchain v15 | InOutLinks | Mass Save Proportional Subsidy Rate for Retrofits (dmnl ) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | IRA Proportional Subsidy Rate for Heat Pumps (dmnl ) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | IRA Maximum Proportional Subsidy for Heat Pumps (Dollar / House ) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
.housingagingchain v5 testing | InOutLinks | Initial Heating Energy Price (Dollar / (kBTU)) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Initial Cooling Energy Price (Dollar / kBTU) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Initial Code U Value (kBTU / (sf * F * Year)) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Initial Average U Value (kBTU/(Year*sf*F)) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Initial Average Area of Housing Starts (sf / House ) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Initial Area (sf) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Increase in Area per Year (sf / Year / House ) | 0 | 1 | 0.00 | 0| 0| 0 | 0| 1| 0 |
.housingagingchain v8 | InOutLinks | Housing Starts Step Height (Dimensionless ) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
.housingagingchain v8 | InOutLinks | Housing Starts Ramp Slope (1/Year ) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
.housingagingchain v8 | InOutLinks | Housing Starts Pulse Quantity (Dimensionless*Year) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
.housingagingchain v8 | InOutLinks | Housing Starts Exponential Growth Rate (1/Year ) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Housing Starts Across Cohorts () | 1 | 0 | Infinite | 1| 0| 0 | 0| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Housing Fractional Growth Rate (1 / Year ) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Housing by Cohort (House) | 1 | 0 | Infinite | 1| 0| 0 | 0| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Houses Retrofitting (Houses) | 1 | 0 | Infinite | 1| 0| 0 | 0| 0| 0 |
.housingagingchain v15 | InOutLinks | HOMES Lower Subsidy Amount (Dollar / House ) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | HOMES High Subsidy Amount (Dollar / House ) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Homeowner Hours Spent Retrofitting (Hour ) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Heating Emissions Factors (lb CO2 / kBTU) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Heat Pump Heating COP TABLE (dmnl) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Heat Pump COP on Coldest Days (dmnl ) | 0 | 1 | 0.00 | 0| 0| 0 | 0| 1| 0 |
HeatPumpModel_v31 | InOutLinks | Heat Pump Cooling COP TABLE (dmnl) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | HDD on Coldest Day (F ) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Gas COP TABLE (dmnl) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Fractional Decrease in Code U (1 / Year ) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Fraction Retrofitting by System and Cohort (dmnl) | 1 | 0 | Infinite | 1| 0| 0 | 0| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Fraction Retrofitting (dmnl) | 1 | 0 | Infinite | 0| 0| 1 | 0| 0| 0 |
.housingagingchain v5 testing | InOutLinks | Fixed Cost (Dollar / House ) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Energy Use by Oil Houses (kBTU / Year) | 1 | 0 | Infinite | 1| 0| 0 | 0| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Energy Use by Heat Pump Houses (kBTU / Year) | 1 | 0 | Infinite | 1| 0| 0 | 0| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Energy Use by Gas Houses (kBTU/ Year) | 1 | 0 | Infinite | 1| 0| 0 | 0| 0| 0 |
.housingagingchain v8 | InOutLinks | Energy Price Step Height (Dimensionless ) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Energy Price Ramp Slope 1 (1/Year ) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
.housingagingchain v8 | InOutLinks | Energy Price Ramp Slope (1/Year ) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Energy Price Pulse Quantity 1 (Dimensionless*Year) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
.housingagingchain v8 | InOutLinks | Energy Price Pulse Quantity (Dimensionless*Year) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Energy Price Exponential Growth Rate 1 (1/Year ) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
.housingagingchain v8 | InOutLinks | Energy Price Exponential Growth Rate (1/Year ) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Effect of Air Leakage from Window AC on Efficiency (dmnl) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | EEHIC Proportional Subsidy Rate for Retrofits (dmnl ) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | EEHIC Maximum Subsidy for Retrofits (Dollar / House ) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Demolition Hazard Rate (1 / Year ) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Cumulative MA Subsidy (Dollar) | 1 | 0 | Infinite | 1| 0| 0 | 0| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Cumulative Federal Subsidy (Dollar) | 1 | 0 | Infinite | 1| 0| 0 | 0| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Cumulative Emissions (tCO2) | 1 | 0 | Infinite | 1| 0| 0 | 0| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Cost of Bad Air Conditioning (Dollar / House ) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Cooling Energy Price Step Height 1 (Dimensionless ) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Cooling Emissions Factor (lb CO2 / kBTU) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | CDD on Coldest Day (F ) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Average Time To Consider Switching (Year ) | 0 | 1 | 0.00 | 0| 0| 0 | 0| 1| 0 |
HeatPumpModel_v31 | InOutLinks | Average Income (Dollar / Hour / House ) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Amoritization Period (Year ) | 0 | 1 | 0.00 | 0| 0| 0 | 0| 1| 0 |
.housingagingchain v8 | InOutLinks | Aging per Year (Year / Year) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Total Initial Homes (Houses ) | ( 0| 0) | Infinite | 0| 0| 0 | 0| 0| 0 |
HeatPumpModel_v31 | InOutLinks | Peak Load from Non Heating or Cooling Sources (kWH / Day ) | ( 0| 0) | Infinite | 0| 0| 0 | 0| 0| 0 |
.housingagingchain v8 | InOutLinks | Maximum Energy Price (Dollar / kBTU) | ( 0| 0) | Infinite | 0| 0| 0 | 0| 0| 0 |
.Control | InOutLinks | TIME STEP (Year ) | 0 | 7 | 0.00 | 0| 0| 0 | 1| 3| 3 |
.Control | InOutLinks | INITIAL TIME (Year) | 0 | 5 | 0.00 | 0| 0| 0 | 0| 1| 4 |
.Control | InOutLinks | SAVEPER (Year ) | 1 | 0 | Infinite | 1| 0| 0 | 0| 0| 0 |
.Control | InOutLinks | FINAL TIME (Year) | 0 | 1 | 0.00 | 0| 0| 0 | 1| 0| 0 |
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HeatPumpModel_v31 | Sub | Backup Heating () |
HeatPumpModel_v31 | Sub | Central AC Cooling () |
. | Sub | Cohort () |
HeatPumpModel_v31 | Sub | Fossil Fuel Heating () |
HeatPumpModel_v31 | Sub | Gas and Window or No AC () |
HeatPumpModel_v31 | Sub | Gas Heating () |
HeatPumpModel_v31 | Sub | Heating () |
HeatPumpModel_v31 | Sub | Heating and Cooling System () |
HeatPumpModel_v31 | C | kBTU per kWH (kBTU / kWH ) |
HeatPumpModel_v31 | Sub | New Cohorts () |
HeatPumpModel_v31 | Sub | No AC Cooling () |
HeatPumpModel_v31 | Sub | Oil and Window or No AC () |
HeatPumpModel_v31 | Sub | Oil Heating () |
.housingagingchain v8 | Sub | Preexisting Cohorts () |
HeatPumpModel_v31 | Sub | Retrofit Cost () |
HeatPumpModel_v31 | Sub | Retrofitting Status () |
HeatPumpModel_v31 | Sub | Traditional Cooling () |
HeatPumpModel_v31 | Sub | Window AC Cooling () |
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.housingagingchain v8 | L | Area[Preexisting Cohorts,Open to Retrofitting] (sf) |
.housingagingchain v8 | L | Autocorrelated Noise (Dimensionless) |
.housingagingchain v8 | L | Autocorrelated Noise 0 (Dimensionless) |
HeatPumpModel_v31 | L | Autocorrelated Noise 1 (Dimensionless) |
.housingagingchain v18 | L | Code U (kBTU / (sf * Year * F)) |
HeatPumpModel_v31 | L | Cumulative Emissions (tCO2) |
HeatPumpModel_v31 | L | Cumulative Federal Subsidy (Dollar) |
HeatPumpModel_v31 | L | Cumulative MA Subsidy (Dollar) |
HeatPumpModel_v31 | L | Cumulative Subsidies for Heat Pumps (Dollar) |
HeatPumpModel_v31 | L | Cumulative Subsidy for Retrofits (Dollar) |
HeatPumpModel_v31 | L | Housing[Cohort,Heating and Cooling System,Open to Retrofitting] (House) |
.housingagingchain v8 | L | Total Age[Cohort,Open to Retrofitting] (House * Year) |
HeatPumpModel_v31 | L | Total U Value[Cohort,Heating and Cooling System,Open to Retrofitting] (House * kBTU / (Year * F * sf) ) |
HeatPumpModel_v31 | L | U Value Retrofitted Away (House * kBTU / (Year * F * sf)) |
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.housingagingchain v8 | L | Autocorrelated Noise (Dimensionless) |
.housingagingchain v8 | L | Autocorrelated Noise 0 (Dimensionless) |
HeatPumpModel_v31 | L | Autocorrelated Noise 1 (Dimensionless) |
HeatPumpModel_v31 | L | Cumulative Emissions (tCO2) |
HeatPumpModel_v31 | L | Cumulative Federal Subsidy (Dollar) |
HeatPumpModel_v31 | L | Cumulative MA Subsidy (Dollar) |
HeatPumpModel_v31 | L | Cumulative Subsidies for Heat Pumps (Dollar) |
HeatPumpModel_v31 | L | Cumulative Subsidy for Retrofits (Dollar) |
.housingagingchain v8 | A | Input (Dimensionless) |
.housingagingchain v8 | A | Input 0 (Dimensionless) |
HeatPumpModel_v31 | A | Input 1 (Dimensionless) |
HeatPumpModel_v31 | A | U Value at Which EEHIC Cap Binds[Cohort,Heating and Cooling System] (kBTU / (F * sf * Year)) |
HeatPumpModel_v31 | A | U Value by Grouping[Cohort,Heating and Cooling System,Retrofitting Status] (kBTU / (sf * F * Year)) |
HeatPumpModel_v31 | L | U Value Retrofitted Away (House * kBTU / (Year * F * sf)) |
.housingagingchain v5 testing | A | Unsubsidized Retrofit Cost Intensity[Cohort,Heating and Cooling System] (Dollar / sf) |
.housingagingchain v8 | A | White Noise (Dimensionless) |
.housingagingchain v8 | A | White Noise 0 (Dimensionless) |
HeatPumpModel_v31 | A | White Noise 1 (Dimensionless) |
HeatPumpModel_v31 | Non-Zero | Gas COP TABLE (dmnl) | Left |
HeatPumpModel_v31 | Non-Zero | Heat Pump Cooling COP TABLE (dmnl) | Both |
HeatPumpModel_v31 | Non-Zero | Heat Pump Heating COP TABLE (dmnl) | Both |
HeatPumpModel_v31 | Non-Zero | Oil COP TABLE (dmnl) | Left |
HeatPumpModel_v31 | Non-Zero | Unsubsidized Cost of Heat Pump Over Time TABLE (Dollar/ House) | Both |
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.housingagingchain v8 | A | Input (Dimensionless) |
.housingagingchain v8 | A | Input 0 (Dimensionless) |
HeatPumpModel_v31 | A | Input 1 (Dimensionless) |
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.housingagingchain v8 | C | Maximum Energy Price (Dollar / kBTU) |
.Control | A | SAVEPER (Year ) |
HeatPumpModel_v31 | Units | Heating System Efficiency (dmnl) | Lhs Units: (Dmnl) Rhs Units: LOOKUP Used With Dimensioned Argument < (Year) > Complete Rhs Units: LOOKUP ( Dmnl , Year ) |
HeatPumpModel_v31 | Units | Housing Starts Across Cohorts () | Lhs Units: None Specified |
HeatPumpModel_v31 | Units | Peak Load from Non Heating or Cooling Sources (kWH / Day ) | Lhs Units: (kWH/Day) Rhs Units: (Dmnl) Complete Rhs Units: ( ( 18344.8 * 1000.0 ) * 0.461799 ) |
HeatPumpModel_v31 | Units | Unsubsidized Cost of Heat Pumps (Dollar / House) | Lhs Units: (Dollar/House) Rhs Units: LOOKUP Used With Dimensioned Argument < (Year) > Complete Rhs Units: LOOKUP ( Dollar/House , Year ) |
1/Year | Basic | |
Dmnl | Basic | [Dimensionless, dmnl, Year/Year] |
Dollar | Basic | |
F | Basic | |
Hour | Basic | |
House | Basic | [House * Year/Year, Houses, Year * House/Year] |
sf | Basic | |
tCO2 | Basic | |
Year | Basic | [Dimensionless*Year, Years] |
Day/Year | Combined | |
Dollar*F*Year/kBTU | Combined | [(Dollar/sf)/(kBTU/(sf * F * Year))] |
Dollar*F/kBTU | Combined | [Dollar * F/(kBTU), Dollar * F/kBTU] |
Dollar*Year*F/kBTU | Combined | [(Dollar/sf)/(kBTU/(sf * Year * F)), Dollar * Year * F/kBTU, Dollar/sf/(kBTU/(sf * Year * F))] |
Dollar/Hour*House | Combined | [Dollar/Hour/House] |
Dollar/House | Combined | [Dollar/(House), Dollar/Home, Dollars/(House)] |
Dollar/House*Year | Combined | [Dollar/(House * Year), Dollar/House/Year] |
Dollar/kBTU | Combined | [Dollar/(kBTU)] |
Dollar/sf | Combined | |
Dollar/Year | Combined | |
Dollar/Year*House | Combined | [Dollar/(Year * House), Dollar/(Year*House), Dollar/Year/House] |
House*kBTU/sf*F*Year | Combined | [House * kBTU/(sf * F * Year)] |
House*kBTU/sf*F*Year*Year | Combined | [House * kBTU/(sf * F* Year)/Year] |
House*kBTU/Year*F*sf | Combined | [House * kBTU/(Year * F * sf)] |
House*kBTU/Year*Year*F*sf | Combined | [House * kBTU/(Year * F * sf)/Year] |
House*kBTU/Year*Year*sf*F | Combined | [House * kBTU/( Year * Year * sf * F)] |
House*Year | Combined | [House * Year] |
House/Month | Combined | [Houses/Month] |
House/Year | Combined | [Houses/Year] |
kBTU*House/Year*Year*sf*F | Combined | [kBTU*House/(Year*Year*sf*F)] |
kBTU/Day | Combined | |
kBTU/F*sf*Year | Combined | [kBTU/(F * sf * Year)] |
kBTU/House*Year | Combined | [kBTU/(House * Year)] |
kBTU/kWH | Combined | |
kBTU/sf*F*Year | Combined | [kBTU/(sf * F * Year)] |
kBTU/sf*Year | Combined | [kBTU/(sf * Year)] |
kBTU/sf*Year*F | Combined | [kBTU/(sf * Year * F)] |
kBTU/sf*Year*Year*F | Combined | [kBTU/(sf * Year * F)/Year] |
kBTU/Year | Combined | |
kBTU/Year*F*sf | Combined | [kBTU/(Year * F * sf)] |
kBTU/Year*House | Combined | [kBTU/(Year * House), kBTU/Year/House] |
kBTU/Year*sf*F | Combined | [kBTU/(Year*sf*F)] |
kWH/Day | Combined | |
lb CO2/kBTU | Combined | |
lb CO2/tCO2 | Combined | |
Month/Year | Combined | |
sf/House | Combined | |
sf/Year | Combined | |
sf/Year*House | Combined | [sf/Year/House] |
tCO2/House*Year | Combined | [tCO2/(House * Year), tCO2/House/Year] |
tCO2/Year | Combined | |
tCO2/Year*House | Combined | [tCO2/(Year * House), tCO2/Year/House] |
HeatPumpModel_v31 | Feedback... | Housing (House) | 5 (29.4%) | 3 [ 2, 4] | 2 [ 2, 2] | 1.50 | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Total U Value (House * kBTU / (Year * F * sf) ) | 4 (23.5%) | 2 [ 3, 3] | 2 [ 3, 3] | 1.00 | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | U Value by Grouping (kBTU / (sf * F * Year)) | 4 (23.5%) | 2 [ 3, 3] | 2 [ 3, 3] | 1.00 | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Area (sf) | 2 (11.8%) | 1 [ 4, 4] | 1 [ 3, 3] | 1.00 | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Average Age (Year) | 2 (11.8%) | 1 [ 4, 4] | 1 [ 3, 3] | 1.00 | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Average Area (sf / House) | 2 (11.8%) | 1 [ 4, 4] | 1 [ 3, 3] | 1.00 | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Net Change in Homes Retrofitting (Houses / Year) | 2 (11.8%) | 1 [ 4, 4] | 1 [ 2, 2] | 1.00 | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Total Age (House * Year) | 2 (11.8%) | 1 [ 4, 4] | 1 [ 3, 3] | 1.00 | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Age Removal (House * Year /Year) | 1 (5.9%) | 0 [ 0, 0] | 1 [ 3, 3] | 0.00 | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Area Removal (sf /Year) | 1 (5.9%) | 0 [ 0, 0] | 1 [ 3, 3] | 0.00 | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Autocorrelated Noise (Dimensionless) | 1 (5.9%) | 0 [ 0, 0] | 1 [ 2, 2] | 0.00 | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Autocorrelated Noise 0 (Dimensionless) | 1 (5.9%) | 0 [ 0, 0] | 1 [ 2, 2] | 0.00 | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Autocorrelated Noise 1 (Dimensionless) | 1 (5.9%) | 0 [ 0, 0] | 1 [ 2, 2] | 0.00 | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Change in AC Noise (1/Year) | 1 (5.9%) | 0 [ 0, 0] | 1 [ 2, 2] | 0.00 | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Change in AC Noise 0 (1/Year) | 1 (5.9%) | 0 [ 0, 0] | 1 [ 2, 2] | 0.00 | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Change in AC Noise 1 (1/Year) | 1 (5.9%) | 0 [ 0, 0] | 1 [ 2, 2] | 0.00 | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v18 | Feedback... | Code U (kBTU / (sf * Year * F)) | 1 (5.9%) | 0 [ 0, 0] | 1 [ 2, 2] | 0.00 | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v18 | Feedback... | Decrease in Code U (kBTU / (sf * Year * F) / Year) | 1 (5.9%) | 0 [ 0, 0] | 1 [ 2, 2] | 0.00 | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Demolitions (House / Year) | 1 (5.9%) | 0 [ 0, 0] | 1 [ 2, 2] | 0.00 | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Houses Considering Switching System (Houses / Year) | 1 (5.9%) | 1 [ 3, 3] | 0 [ 0, 0] | Infinite | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Houses Switching Sources (House / Year) | 1 (5.9%) | 1 [ 3, 3] | 0 [ 0, 0] | Infinite | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Housing by Cohort and Heating and Cooling System (Houses) | 1 (5.9%) | 1 [ 4, 4] | 0 [ 0, 0] | Infinite | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Housing Starts (Houses / Year) | 1 (5.9%) | 1 [ 2, 2] | 0 [ 0, 0] | Infinite | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Indicated Homes Retrofitting (House) | 1 (5.9%) | 1 [ 4, 4] | 0 [ 0, 0] | Infinite | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Net Age Shift by System (Year * House / Year) | 1 (5.9%) | 1 [ 4, 4] | 0 [ 0, 0] | Infinite | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Net Age Shift from Retrofitting Status Shifting (House * Year / Year) | 1 (5.9%) | 1 [ 4, 4] | 0 [ 0, 0] | Infinite | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Net Area Shift by System (sf / Year) | 1 (5.9%) | 1 [ 4, 4] | 0 [ 0, 0] | Infinite | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Net Area Shift due to Retrofit Status Switching (sf / Year) | 1 (5.9%) | 1 [ 4, 4] | 0 [ 0, 0] | Infinite | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Net U Value Change from Retrofitting Home Shifts (House * kBTU / (Year * F * sf) / Year) | 1 (5.9%) | 1 [ 3, 3] | 0 [ 0, 0] | Infinite | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Retrofitting (House * kBTU / (sf * F* Year) / Year) | 1 (5.9%) | 0 [ 0, 0] | 1 [ 3, 3] | 0.00 | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | U Value Loss from Demolition (House * kBTU / (Year * F * sf) / Year) | 1 (5.9%) | 0 [ 0, 0] | 1 [ 3, 3] | 0.00 | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | U Value Shift from Source Switching (House * kBTU / (Year * F * sf) / Year) | 1 (5.9%) | 1 [ 3, 3] | 0 [ 0, 0] | Infinite | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Active Cohort Indicator (dmnl) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Actual EEHIC Subsidy for Retrofits (Dollar / House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Actual HOMES Subsidy for Retrofits (Dollar/ Home) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Actual MassSave Subsidy for Retrofits (Dollar / House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v15 | Feedback... | Additional Cost of Building to U Value (Dollar / sf) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Affinity of Heating and Cooling Systems (dmnl) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Affinity of Not Retrofitting (dmnl) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v4 testing | Feedback... | Affinity of Retrofitting (dmnl) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Aging per Year (Year / Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Aging (House * Year / Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Amoritization Period (Year ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v15 | Feedback... | Amoritized Subsidized Retrofit Cost (Dollar / (House * Year)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Annual Federal Subsidies (Dollar / Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Annual Heat Pump Subsidy (Dollar / Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Annual Load from Heat Pumps (kBTU / Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Annual MA Subsidies (Dollar / Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Annual Retrofit Subsidy (Dollar / Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Annual Subsidies (Dollar / Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Area of New Homes (sf / Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Average Age in All Housing (Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Average Area in All Housing (sf/ House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Average Area of Housing Starts (sf / House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Average Cooling Cost Across All Homes (Dollar / House/ Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Average Cooling Cost (Dollar / (Year * House)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Average Cooling Energy Use Across All Homes (kBTU / Year / House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Average Cooling Energy Use (kBTU / (Year * House)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Average Daily Load from Heat Pumps (kBTU / Day) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Average Emissions (tCO2 / House / Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Average Emissions by Grouping (tCO2 / (Year * House)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Average Emissions by Heating and Cooling System (tCO2 / Year / House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Average Emissions from Cooling by Grouping (tCO2 / (House * Year)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Average Emissions from Heating by Grouping (tCO2 / (House * Year)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Average Energy Cost (Dollar / (Year * House)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v15 | Feedback... | Average Energy Costs for Retrofitting Home (Dollar / Year / House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Average Energy Costs if Retrofitted (Dollar/(Year*House)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Average Energy Use by Heating and Cooling System (kBTU / (House * Year)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Average Energy Use in All Housing (kBTU / Year / House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Average Energy Use (kBTU / (Year * House)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Average EUI by Grouping (kBTU / (sf * Year)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Average EUI in All Housing (kBTU / (sf * Year)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Average Heating Cost Across All Homes (Dollar / Year / House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v5 testing | Feedback... | Average Heating Cost (Dollar / (Year * House)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Average Heating Energy Use Across All Homes (kBTU / (Year * House)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Average Heating Energy Use (kBTU / (Year * House)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Average Income (Dollar / Hour / House ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Average Indicated Fraction of Homes Retrofitting (dmnl) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Average Lifetime of Cooling Technology (Years) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Average Lifetime of Heating Technology (Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Average Subsidized Retrofit Cost (Dollar / House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Average Time To Consider Switching (Year ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Average U Value by Heating and Cooling System (kBTU / (sf * F * Year)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v4 testing | Feedback... | Average U Value in All Housing (kBTU / (sf * F * Year)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Average U Value of Houses Switching Into Sources (kBTU / (sf * F * Year)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | CDD on Coldest Day (F ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Cohort Duration (Year ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Cooling Degree Days (F ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Cooling Emissions Factor (lb CO2 / kBTU) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Cooling Energy Price (Dollar / kBTU) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Cooling Energy Price Step Height 1 (Dimensionless ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Cooling Energy Use Under Alternatives (kBTU / (House * Year)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Cooling System Efficiency (dmnl) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Cost of Bad Air Conditioning (Dollar / House ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Cost of Cooling System Replacement (Dollar / House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Cost of Heating System Replacement (Dollar / House ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v15 | Feedback... | Cost of Switching Heating and Cooling Systems (Dollar / House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Cumulative Emissions (tCO2) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Cumulative Federal Subsidy (Dollar) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Cumulative MA Subsidy (Dollar) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Cumulative Subsidies (Dollar) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Cumulative Subsidies for Heat Pumps (Dollar) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Cumulative Subsidy for Retrofits (Dollar) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Days per Year (Day / Year ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v15 | Feedback... | Delay in Changing Subsidy Expectations (Year ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v15 | Feedback... | Delay in Forming Expectations of Energy Price (Year ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v15 | Feedback... | Delay in Forming Expectations of Retrofit Costs (Year ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Demolition Hazard Rate (1 / Year ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Discount Rate (1 / Year ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | EEHIC Expected Subsidy for Retrofits (Dollar / House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | EEHIC Maximum Subsidy for Retrofits (Dollar / House ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | EEHIC Proportional Subsidy Rate for Retrofits (dmnl ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | EEHIC Subsidy for Retrofits Final Year (Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Effect of Air Leakage from Window AC on Efficiency (dmnl) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Emissions (tCO2 / Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Emissions by Grouping (tCO2 / Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Emissions by Heating and Cooling System (tCO2 / Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Energy Price Exponential Growth Rate (1/Year ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Energy Price Exponential Growth Rate 1 (1/Year ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Energy Price Pulse Quantity (Dimensionless*Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Energy Price Pulse Quantity 1 (Dimensionless*Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Energy Price Ramp Slope (1/Year ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Energy Price Ramp Slope 1 (1/Year ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Energy Price Step Height (Dimensionless ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Energy Savings (dmnl) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Energy Use by Gas Houses (kBTU/ Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Energy Use by Grouping (kBTU / Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Energy Use by Heat Pump Houses (kBTU / Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Energy Use by Oil Houses (kBTU / Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Expected Cooling Energy Price (Dollar / kBTU) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Expected EEHIC Maximum Subsidy for Retrofits (Dollar / House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Expected EEHIC Proportional Subsidy Rate for Retrofits (dmnl) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v15 | Feedback... | Expected Fixed Cost (Dollar / House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v15 | Feedback... | Expected Heating Energy Price (Dollar / kBTU) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Expected IRA Proportional Subsidy Rate for Heat Pumps (dmnl) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v15 | Feedback... | Expected Lump Sum Subsidy Intensity (Dollar / sf) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v15 | Feedback... | Expected MassSave Maximum Subsidy for Retrofits (Dollar / House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v15 | Feedback... | Expected MassSave Proportional Subsidy Rate for Retrofits (dmnl) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Expected Maximum IRA Proportional Subsidy for Heat Pumps (Dollar / House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v15 | Feedback... | Expected Reference Marginal Cost ((Dollar / sf) / (kBTU / (sf * Year * F))) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Expected Subsidy for Heat Pumps (Dollar / House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v15 | Feedback... | Expected Subsidy for Retrofits (Dollar / House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Federal Annual Heat Pump Subsidy (Dollar / Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Federal Annual Retrofit Subsidy (Dollar / Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v5 testing | Feedback... | Fixed Cost (Dollar / House ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v5 testing | Feedback... | Fixed Cost per Unit Area (Dollar / sf) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Fraction of Houses in Each Heating and Cooling System (dmnl) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v5 testing | Feedback... | Fraction of Houses Switching (dmnl) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Fraction of Housing by Heating and Cooling System (dmnl) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Fraction Retrofitting (dmnl) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Fraction Retrofitting by Cohort (dmnl) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Fraction Retrofitting by System and Cohort (dmnl) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Fractional Decrease in Code U (1 / Year ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Gas COP TABLE (dmnl) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | HDD on Coldest Day (F ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Heat Pump Cooling COP TABLE (dmnl) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Heat Pump COP on Coldest Days (dmnl ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Heat Pump Heating COP TABLE (dmnl) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Heating Degree Days (F ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Heating Emissions Factors (lb CO2 / kBTU) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v5 testing | Feedback... | Heating Energy Price (Dollar / (kBTU)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Heating Energy Use Under Alternatives (kBTU / (House * Year)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Heating System Efficiency (dmnl) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Homeowner Hours Spent Retrofitting (Hour ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | HOMES Cut Off for Savings (dmnl ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | HOMES Expected Higher Subsidy (Dollar / House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v15 | Feedback... | HOMES Expected Lower Lump Sum Subsidy (Dollar / House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | HOMES High Subsidy Amount (Dollar / House ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | HOMES Implemented High Subsidy (Dollar / House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v15 | Feedback... | HOMES Implemented Lower Subsidy (Dollar / House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v15 | Feedback... | HOMES Lower Subsidy Amount (Dollar / House ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | HOMES Subsidy Final Year (Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v15 | Feedback... | HOMES Subsidy Implementation Year (Year ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Houses Retrofitting per Year (House / Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Houses Retrofitting (Houses) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Houses Switching Into Sources (Houses / Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Housing by Cohort and Retrofitting Status (House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Housing by Cohort (House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Housing by Heating and Cooling System (House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Housing by Retrofitting Status (House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Housing Fractional Growth Rate (1 / Year ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Housing Starts Across Cohorts () | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Housing Starts Exponential Growth Rate (1/Year ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Housing Starts In Each Cohort (House / Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Housing Starts Pulse Quantity (Dimensionless*Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Housing Starts Ramp Slope (1/Year ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Housing Starts Step Height (Dimensionless ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Implemented EEHIC Maximum Subsidy for Retrofits (Dollar / House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Implemented EEHIC Subsidy Proportional Rate for Retrofits (dmnl) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Implemented IRA Maximum Proportional Subsidy for Heat Pumps (Dollar / House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v15 | Feedback... | Implemented MassSave Maximum Subsidy for Retrofits (Dollar / House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v15 | Feedback... | Implemented MassSave Subsidy Proportional Rate for Retrofits (dmnl) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Increase in Area per Year (sf / Year / House ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v18 | Feedback... | Increase in U Value from Housing Starts (House * kBTU / (Year * F * sf) / Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Indicated Fraction of Homes Retrofitting (dmnl) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Initial Age (House * Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Initial Area (sf) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Initial Average Area of Housing Starts (sf / House ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Initial Average U Value (kBTU/(Year*sf*F)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Initial Code U Value (kBTU / (sf * F * Year)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Initial Cooling Energy Price (Dollar / kBTU) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Initial Fraction of Homes Retrofitting (dmnl ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v5 testing | Feedback... | Initial Heating Energy Price (Dollar / (kBTU)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v5 testing | Feedback... | Initial Homes Not Retrofitting (House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v5 testing | Feedback... | Initial Homes Retrofitting (Houses) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
. | Feedback... | Initial Housing Starts (House/Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Initial Housing (House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v15 | Feedback... | Initial U Value (House * kBTU / (Year * F * sf)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Input (Dimensionless) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Input 0 (Dimensionless) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Input 1 (Dimensionless) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | IRA Actual Subsidy for Heat Pumps (Dollar / House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | IRA Expected Proportional Subsidy for Heat Pumps (Dollar / House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | IRA Implemented Subsidy Proportional Rate for Heat Pumps (dmnl) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | IRA Lump Sum Subsidy for Heat Pumps Final Year (Year ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | IRA Maximum Proportional Subsidy for Heat Pumps (Dollar / House ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | IRA Proportional Subsidy Implementation Year for Heat Pumps (Year ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | IRA Proportional Subsidy Rate for Heat Pumps (dmnl ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | kBTU per kWH (kBTU / kWH ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Lifetime Marginal Cost Reductions from Retrofitting (Dollar * Year * F / kBTU) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Marginal Cooling Cost Reduction from Retrofitting (Dollar * F / (kBTU)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Marginal Cost at Binding U Value without EEHIC ((Dollar / sf) / (kBTU / (sf * F * Year))) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v15 | Feedback... | Marginal Cost Reductions from Retrofitting (Dollar * F / kBTU) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v5 testing | Feedback... | Marginal Heating Cost Reduction from Retrofitting (Dollar * F / (kBTU)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v15 | Feedback... | Mass Save Proportional Subsidy Rate for Retrofits (dmnl ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Massachusetts Annual Heat Pumps Subsidy (Dollar / Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Massachusetts Annual Retrofit Subsidy (Dollar / Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | MassSave Expected Lump Sum Subsidy for Heat Pumps (Dollar / House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v15 | Feedback... | MassSave Expected Subsidy for Retrofits (Dollar / House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | MassSave Implemented Lump Sum Subsidy for Heat Pumps (Dollar / House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | MassSave Lump Sum Subsidy Amount for Heat Pumps (Dollar / House ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | MassSave Lump Sum Subsidy for Heat Pumps Final Year (Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | MassSave Lump Sum Subsidy Implementation Year for Heat Pumps (Year ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v15 | Feedback... | MassSave Maximum Subsidy for Retrofits (Dollar / House ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | MassSave Subsidy for Retrofits Final Year (Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Maximum Energy Price (Dollar / kBTU) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Monthly Total Heat Pump Sales (Houses/ Month) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Months per Year (Month / Year ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | No Turnover Switch (dmnl ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Noise Correlation Time (Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Noise Correlation Time 0 (Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Noise Correlation Time 1 (Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Noise Standard Deviation (Dimensionless) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Noise Standard Deviation 0 (Dimensionless) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Noise Standard Deviation 1 (Dimensionless) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Noise Start Time (Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Noise Start Time 0 (Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Noise Start Time 1 (Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Oil COP TABLE (dmnl) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Optimal Cooling Cost (Dollar / (Year * House)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Optimal Cooling Energy Use (kBTU / (Year * House)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Optimal Energy Cost (Dollar / (Year * House)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Optimal Energy Use (kBTU / (House * Year)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Optimal Heating Cost (Dollar / (Year * House)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Optimal Heating Energy Use (kBTU / (House * Year)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Optimal U Across All Housing (kBTU / (sf * F * Year)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v18 | Feedback... | Optimal U for New Homes (kBTU / (sf * Year * F)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v4 testing | Feedback... | Optimal U Value for Existing Homes if no EEHIC Cap (kBTU / (sf * F * Year)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Optimal U Value for Existing Homes (kBTU / (sf * F * Year)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Optimal U Value with No EEHIC Proportional Subsidy (kBTU / (sf * F * Year)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Peak Cooling Load on Grid (kWH / Day) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Peak Heating Load on Grid (kWH / Day) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Peak Load from Heat Pumps on Coldest Days per Group (kWH / Day) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Peak Load from Heat Pumps on Hottest Days per Group (kWH / Day) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Peak Load from Non Heating or Cooling Sources (kWH / Day ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Perceived Cost of Not Retrofitting (Dollar / (House * Year)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Perceived Cost of Retrofitting (Dollar / (House * Year)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Pounds per Ton (lb CO2 / tCO2) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v5 testing | Feedback... | Present Value of Cooling Operating Costs (Dollars / (House)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v5 testing | Feedback... | Present Value of Heating Operating Costs (Dollar / (House)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Present Value of Operating Costs (Dollar / (House) ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Present Value Replacement Cost (Dollar / House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Proportional EEHIC Subsidy Implementation Year for Retrofits (Year ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Proportional IRA Subsidy Switch for Heat Pumps (dmnl ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v15 | Feedback... | Proportional MassSave Subsidy Implementation Year for Retrofits (Year ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v15 | Feedback... | Proportional Subsidy Switch for Retrofits (dmnl ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Pulse Time (Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Pulse Time 0 (Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Pulse Time 1 (Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Ramp End Time (Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Ramp End Time 0 (Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Ramp End Time 1 (Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Ramp Start Time (Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Ramp Start Time 0 (Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Ramp Start Time 1 (Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Reference Lifetime Cost of Heating and Cooling Systems (Dollar / House ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v5 testing | Feedback... | Reference Marginal Cost (Dollar / sf / (kBTU / (sf * Year * F)) ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Reference Retrofit Cost (Dollar / (House * Year) ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v9 | Feedback... | Reference U Value (kBTU / (sf * Year * F) ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Retrofit Delay (Year ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Retrofitting Across Cohorts and Systems (House * kBTU / ( Year * Year * sf * F)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Sensitivity of Affinity to Cost (dmnl ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v5 testing | Feedback... | Sensitivity of Marginal Cost to U Value (dmnl ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Sensitivity of Retrofits to Cost (dmnl ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Sine Amplitude (Dimensionless) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Sine Amplitude 0 (Dimensionless) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Sine Amplitude 1 (Dimensionless) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Sine Period (Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Sine Period 0 (Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Sine Period 1 (Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Soft Costs of Retrofitting (Dollar / Home) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Step Time (Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Step Time 0 (Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Step Time 1 (Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Subsidized Cost of Heat Pumps (Dollar / House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v15 | Feedback... | Subsidized Retrofit Cost (Dollar /House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | System Switching SWITCH (dmnl ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Time to Decide to Retrofit (Year ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Total Area (sf) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Total Cooling Cost (Dollar / Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Total Cooling Energy Use (kBTU/ Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Total Cost of Ownership of Average Home (Dollar / (Year * House)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Total Cost of Ownership of Retrofitted Homes (Dollar / (House * Year)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Total Energy Use (kBTU / Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Total Heat Pump Sales (House / Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Total Heating Cost (Dollar / Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Total Heating Energy Use (kBTU/ Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Total Housing Starts (House/ Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v4 testing | Feedback... | Total Housing Stock (House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Total Initial Homes (Houses ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Total Initial Housing Starts (Houses / Year ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Total Present Value of Cost (Dollar / House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Total U Value Across All Groupings (House * kBTU / (sf * F * Year)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Total U Value by Cohort (House * kBTU / (sf * F * Year)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Total U Value by Heating and Cooling System (House * kBTU / (sf * F * Year)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | U Value at Which EEHIC Cap Binds (kBTU / (F * sf * Year)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | U Value Increase from Source Switching (kBTU*House/(Year*Year*sf*F)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v18 | Feedback... | U Value of Housing Starts (kBTU / (Year * F * sf)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | U Value of Retrofitting Homes (kBTU / (sf * Year * F)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | U Value Retrofitted Away (House * kBTU / (Year * F * sf)) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Unsubsidized Cost of Heat Pump Over Time TABLE (Dollar/ House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Unsubsidized Cost of Heat Pumps (Dollar / House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v5 testing | Feedback... | Unsubsidized Retrofit Cost Intensity (Dollar / sf) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | Unsubsidized Retrofit Cost (Dollar / House) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | Weight on Upfront Cost (dmnl ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | White Noise (Dimensionless) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Feedback... | White Noise 0 (Dimensionless) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
HeatPumpModel_v31 | Feedback... | White Noise 1 (Dimensionless) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.Control | Feedback... | FINAL TIME (Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.Control | Feedback... | INITIAL TIME (Year) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.Control | Feedback... | SAVEPER (Year ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.Control | Feedback... | TIME STEP (Year ) | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] | 0 ( 0%) | 0 [ 0, 0] | 0 [ 0, 0] | NA | 0 [ 0, 0] |
.housingagingchain v8 | Exogenous | Active Cohort Indicator (dmnl) | 1 | 3 Exogenous |
.housingagingchain v8 | Exogenous | Aging per Year (Year / Year) | 2 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Amoritization Period (Year ) | 3 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Average Area of Housing Starts (sf / House) | 4 | 4 Exogenous |
HeatPumpModel_v31 | Exogenous | Average Income (Dollar / Hour / House ) | 5 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Average Lifetime of Cooling Technology (Years) | 6 | 1 Exogenous |
HeatPumpModel_v31 | Exogenous | Average Lifetime of Heating Technology (Year) | 7 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Average Time To Consider Switching (Year ) | 8 | Hardcoded |
HeatPumpModel_v31 | Exogenous | CDD on Coldest Day (F ) | 9 | Hardcoded |
.housingagingchain v8 | Exogenous | Cohort Duration (Year ) | 10 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Cooling Degree Days (F ) | 11 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Cooling Emissions Factor (lb CO2 / kBTU) | 12 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Cooling Energy Price Step Height 1 (Dimensionless ) | 13 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Cooling System Efficiency (dmnl) | 14 | 4 Exogenous |
HeatPumpModel_v31 | Exogenous | Cost of Bad Air Conditioning (Dollar / House ) | 15 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Cost of Cooling System Replacement (Dollar / House) | 16 | 1 Exogenous |
HeatPumpModel_v31 | Exogenous | Cost of Heating System Replacement (Dollar / House ) | 17 | 1 Exogenous |
HeatPumpModel_v31 | Exogenous | Days per Year (Day / Year ) | 18 | Hardcoded |
.housingagingchain v15 | Exogenous | Delay in Changing Subsidy Expectations (Year ) | 19 | Hardcoded |
.housingagingchain v15 | Exogenous | Delay in Forming Expectations of Energy Price (Year ) | 20 | Hardcoded |
.housingagingchain v15 | Exogenous | Delay in Forming Expectations of Retrofit Costs (Year ) | 21 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Demolition Hazard Rate (1 / Year ) | 22 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Discount Rate (1 / Year ) | 23 | Hardcoded |
HeatPumpModel_v31 | Exogenous | EEHIC Maximum Subsidy for Retrofits (Dollar / House ) | 24 | Hardcoded |
HeatPumpModel_v31 | Exogenous | EEHIC Proportional Subsidy Rate for Retrofits (dmnl ) | 25 | Hardcoded |
HeatPumpModel_v31 | Exogenous | EEHIC Subsidy for Retrofits Final Year (Year) | 26 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Effect of Air Leakage from Window AC on Efficiency (dmnl) | 27 | Hardcoded |
.housingagingchain v8 | Exogenous | Energy Price Exponential Growth Rate (1/Year ) | 28 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Energy Price Exponential Growth Rate 1 (1/Year ) | 29 | Hardcoded |
.housingagingchain v8 | Exogenous | Energy Price Pulse Quantity (Dimensionless*Year) | 30 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Energy Price Pulse Quantity 1 (Dimensionless*Year) | 31 | Hardcoded |
.housingagingchain v8 | Exogenous | Energy Price Ramp Slope (1/Year ) | 32 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Energy Price Ramp Slope 1 (1/Year ) | 33 | Hardcoded |
.housingagingchain v8 | Exogenous | Energy Price Step Height (Dimensionless ) | 34 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Expected EEHIC Maximum Subsidy for Retrofits (Dollar / House) | 35 | 2 Exogenous |
HeatPumpModel_v31 | Exogenous | Expected EEHIC Proportional Subsidy Rate for Retrofits (dmnl) | 36 | 3 Exogenous |
.housingagingchain v15 | Exogenous | Expected Fixed Cost (Dollar / House) | 37 | 2 Exogenous |
HeatPumpModel_v31 | Exogenous | Expected IRA Proportional Subsidy Rate for Heat Pumps (dmnl) | 38 | 3 Exogenous |
.housingagingchain v15 | Exogenous | Expected Lump Sum Subsidy Intensity (Dollar / sf) | 39 | 2 Exogenous |
.housingagingchain v15 | Exogenous | Expected MassSave Maximum Subsidy for Retrofits (Dollar / House) | 40 | 2 Exogenous |
.housingagingchain v15 | Exogenous | Expected MassSave Proportional Subsidy Rate for Retrofits (dmnl) | 41 | 3 Exogenous |
HeatPumpModel_v31 | Exogenous | Expected Maximum IRA Proportional Subsidy for Heat Pumps (Dollar / House) | 42 | 2 Exogenous |
.housingagingchain v15 | Exogenous | Expected Reference Marginal Cost ((Dollar / sf) / (kBTU / (sf * Year * F))) | 43 | 2 Exogenous |
HeatPumpModel_v31 | Exogenous | Expected Subsidy for Heat Pumps (Dollar / House) | 44 | 2 Exogenous |
.housingagingchain v5 testing | Exogenous | Fixed Cost (Dollar / House ) | 45 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Fractional Decrease in Code U (1 / Year ) | 46 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Gas COP TABLE (dmnl) | 47 | Hardcoded |
HeatPumpModel_v31 | Exogenous | HDD on Coldest Day (F ) | 48 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Heat Pump Cooling COP TABLE (dmnl) | 49 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Heat Pump COP on Coldest Days (dmnl ) | 50 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Heat Pump Heating COP TABLE (dmnl) | 51 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Heating Degree Days (F ) | 52 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Heating Emissions Factors (lb CO2 / kBTU) | 53 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Heating System Efficiency (dmnl) | 54 | 4 Exogenous |
HeatPumpModel_v31 | Exogenous | Homeowner Hours Spent Retrofitting (Hour ) | 55 | Hardcoded |
HeatPumpModel_v31 | Exogenous | HOMES Cut Off for Savings (dmnl ) | 56 | Hardcoded |
HeatPumpModel_v31 | Exogenous | HOMES Expected Higher Subsidy (Dollar / House) | 57 | 2 Exogenous |
.housingagingchain v15 | Exogenous | HOMES Expected Lower Lump Sum Subsidy (Dollar / House) | 58 | 2 Exogenous |
HeatPumpModel_v31 | Exogenous | HOMES High Subsidy Amount (Dollar / House ) | 59 | Hardcoded |
HeatPumpModel_v31 | Exogenous | HOMES Implemented High Subsidy (Dollar / House) | 60 | 4 Exogenous |
.housingagingchain v15 | Exogenous | HOMES Implemented Lower Subsidy (Dollar / House) | 61 | 4 Exogenous |
.housingagingchain v15 | Exogenous | HOMES Lower Subsidy Amount (Dollar / House ) | 62 | Hardcoded |
HeatPumpModel_v31 | Exogenous | HOMES Subsidy Final Year (Year) | 63 | Hardcoded |
.housingagingchain v15 | Exogenous | HOMES Subsidy Implementation Year (Year ) | 64 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Housing Fractional Growth Rate (1 / Year ) | 65 | Hardcoded |
.housingagingchain v8 | Exogenous | Housing Starts Exponential Growth Rate (1/Year ) | 66 | Hardcoded |
.housingagingchain v8 | Exogenous | Housing Starts Pulse Quantity (Dimensionless*Year) | 67 | Hardcoded |
.housingagingchain v8 | Exogenous | Housing Starts Ramp Slope (1/Year ) | 68 | Hardcoded |
.housingagingchain v8 | Exogenous | Housing Starts Step Height (Dimensionless ) | 69 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Implemented EEHIC Maximum Subsidy for Retrofits (Dollar / House) | 70 | 4 Exogenous |
HeatPumpModel_v31 | Exogenous | Implemented EEHIC Subsidy Proportional Rate for Retrofits (dmnl) | 71 | 4 Exogenous |
HeatPumpModel_v31 | Exogenous | Implemented IRA Maximum Proportional Subsidy for Heat Pumps (Dollar / House) | 72 | 4 Exogenous |
.housingagingchain v15 | Exogenous | Implemented MassSave Maximum Subsidy for Retrofits (Dollar / House) | 73 | 4 Exogenous |
.housingagingchain v15 | Exogenous | Implemented MassSave Subsidy Proportional Rate for Retrofits (dmnl) | 74 | 4 Exogenous |
HeatPumpModel_v31 | Exogenous | Increase in Area per Year (sf / Year / House ) | 75 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Initial Area (sf) | 76 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Initial Average Area of Housing Starts (sf / House ) | 77 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Initial Average U Value (kBTU/(Year*sf*F)) | 78 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Initial Code U Value (kBTU / (sf * F * Year)) | 79 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Initial Cooling Energy Price (Dollar / kBTU) | 80 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Initial Fraction of Homes Retrofitting (dmnl ) | 81 | Hardcoded |
.housingagingchain v5 testing | Exogenous | Initial Heating Energy Price (Dollar / (kBTU)) | 82 | Hardcoded |
.housingagingchain v5 testing | Exogenous | Initial Homes Not Retrofitting (House) | 83 | 2 Exogenous |
.housingagingchain v5 testing | Exogenous | Initial Homes Retrofitting (Houses) | 84 | 2 Exogenous |
. | Exogenous | Initial Housing Starts (House/Year) | 85 | 1 Exogenous |
HeatPumpModel_v31 | Exogenous | Initial Housing (House) | 86 | Hardcoded |
HeatPumpModel_v31 | Exogenous | IRA Actual Subsidy for Heat Pumps (Dollar / House) | 87 | 3 Exogenous |
HeatPumpModel_v31 | Exogenous | IRA Expected Proportional Subsidy for Heat Pumps (Dollar / House) | 88 | 4 Exogenous |
HeatPumpModel_v31 | Exogenous | IRA Implemented Subsidy Proportional Rate for Heat Pumps (dmnl) | 89 | 4 Exogenous |
HeatPumpModel_v31 | Exogenous | IRA Lump Sum Subsidy for Heat Pumps Final Year (Year ) | 90 | Hardcoded |
HeatPumpModel_v31 | Exogenous | IRA Maximum Proportional Subsidy for Heat Pumps (Dollar / House ) | 91 | Hardcoded |
HeatPumpModel_v31 | Exogenous | IRA Proportional Subsidy Implementation Year for Heat Pumps (Year ) | 92 | Hardcoded |
HeatPumpModel_v31 | Exogenous | IRA Proportional Subsidy Rate for Heat Pumps (dmnl ) | 93 | Hardcoded |
HeatPumpModel_v31 | Exogenous | kBTU per kWH (kBTU / kWH ) | 94 | Hardcoded |
.housingagingchain v15 | Exogenous | Mass Save Proportional Subsidy Rate for Retrofits (dmnl ) | 95 | Hardcoded |
HeatPumpModel_v31 | Exogenous | MassSave Expected Lump Sum Subsidy for Heat Pumps (Dollar / House) | 96 | 2 Exogenous |
HeatPumpModel_v31 | Exogenous | MassSave Implemented Lump Sum Subsidy for Heat Pumps (Dollar / House) | 97 | 5 Exogenous |
HeatPumpModel_v31 | Exogenous | MassSave Lump Sum Subsidy Amount for Heat Pumps (Dollar / House ) | 98 | Hardcoded |
HeatPumpModel_v31 | Exogenous | MassSave Lump Sum Subsidy for Heat Pumps Final Year (Year) | 99 | Hardcoded |
HeatPumpModel_v31 | Exogenous | MassSave Lump Sum Subsidy Implementation Year for Heat Pumps (Year ) | 100 | Hardcoded |
.housingagingchain v15 | Exogenous | MassSave Maximum Subsidy for Retrofits (Dollar / House ) | 101 | Hardcoded |
HeatPumpModel_v31 | Exogenous | MassSave Subsidy for Retrofits Final Year (Year) | 102 | 1 Exogenous |
.housingagingchain v8 | Exogenous | Maximum Energy Price (Dollar / kBTU) | 103 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Months per Year (Month / Year ) | 104 | Hardcoded |
HeatPumpModel_v31 | Exogenous | No Turnover Switch (dmnl ) | 105 | Hardcoded |
.housingagingchain v8 | Exogenous | Noise Correlation Time (Year) | 106 | Hardcoded |
.housingagingchain v8 | Exogenous | Noise Correlation Time 0 (Year) | 107 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Noise Correlation Time 1 (Year) | 108 | Hardcoded |
.housingagingchain v8 | Exogenous | Noise Standard Deviation (Dimensionless) | 109 | Hardcoded |
.housingagingchain v8 | Exogenous | Noise Standard Deviation 0 (Dimensionless) | 110 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Noise Standard Deviation 1 (Dimensionless) | 111 | Hardcoded |
.housingagingchain v8 | Exogenous | Noise Start Time (Year) | 112 | Hardcoded |
.housingagingchain v8 | Exogenous | Noise Start Time 0 (Year) | 113 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Noise Start Time 1 (Year) | 114 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Oil COP TABLE (dmnl) | 115 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Peak Load from Non Heating or Cooling Sources (kWH / Day ) | 116 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Pounds per Ton (lb CO2 / tCO2) | 117 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Present Value Replacement Cost (Dollar / House) | 118 | 5 Exogenous |
HeatPumpModel_v31 | Exogenous | Proportional EEHIC Subsidy Implementation Year for Retrofits (Year ) | 119 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Proportional IRA Subsidy Switch for Heat Pumps (dmnl ) | 120 | Hardcoded |
.housingagingchain v15 | Exogenous | Proportional MassSave Subsidy Implementation Year for Retrofits (Year ) | 121 | Hardcoded |
.housingagingchain v15 | Exogenous | Proportional Subsidy Switch for Retrofits (dmnl ) | 122 | Hardcoded |
.housingagingchain v8 | Exogenous | Pulse Time (Year) | 123 | Hardcoded |
.housingagingchain v8 | Exogenous | Pulse Time 0 (Year) | 124 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Pulse Time 1 (Year) | 125 | Hardcoded |
.housingagingchain v8 | Exogenous | Ramp End Time (Year) | 126 | Hardcoded |
.housingagingchain v8 | Exogenous | Ramp End Time 0 (Year) | 127 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Ramp End Time 1 (Year) | 128 | Hardcoded |
.housingagingchain v8 | Exogenous | Ramp Start Time (Year) | 129 | Hardcoded |
.housingagingchain v8 | Exogenous | Ramp Start Time 0 (Year) | 130 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Ramp Start Time 1 (Year) | 131 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Reference Lifetime Cost of Heating and Cooling Systems (Dollar / House ) | 132 | Hardcoded |
.housingagingchain v5 testing | Exogenous | Reference Marginal Cost (Dollar / sf / (kBTU / (sf * Year * F)) ) | 133 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Reference Retrofit Cost (Dollar / (House * Year) ) | 134 | Hardcoded |
.housingagingchain v9 | Exogenous | Reference U Value (kBTU / (sf * Year * F) ) | 135 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Retrofit Delay (Year ) | 136 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Sensitivity of Affinity to Cost (dmnl ) | 137 | Hardcoded |
.housingagingchain v5 testing | Exogenous | Sensitivity of Marginal Cost to U Value (dmnl ) | 138 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Sensitivity of Retrofits to Cost (dmnl ) | 139 | Hardcoded |
.housingagingchain v8 | Exogenous | Sine Amplitude (Dimensionless) | 140 | Hardcoded |
.housingagingchain v8 | Exogenous | Sine Amplitude 0 (Dimensionless) | 141 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Sine Amplitude 1 (Dimensionless) | 142 | Hardcoded |
.housingagingchain v8 | Exogenous | Sine Period (Year) | 143 | Hardcoded |
.housingagingchain v8 | Exogenous | Sine Period 0 (Year) | 144 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Sine Period 1 (Year) | 145 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Soft Costs of Retrofitting (Dollar / Home) | 146 | 2 Exogenous |
.housingagingchain v8 | Exogenous | Step Time (Year) | 147 | Hardcoded |
.housingagingchain v8 | Exogenous | Step Time 0 (Year) | 148 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Step Time 1 (Year) | 149 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Subsidized Cost of Heat Pumps (Dollar / House) | 150 | 2 Exogenous |
HeatPumpModel_v31 | Exogenous | System Switching SWITCH (dmnl ) | 151 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Time to Decide to Retrofit (Year ) | 152 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Total Initial Homes (Houses ) | 153 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Total Initial Housing Starts (Houses / Year ) | 154 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Unsubsidized Cost of Heat Pump Over Time TABLE (Dollar/ House) | 155 | Hardcoded |
HeatPumpModel_v31 | Exogenous | Unsubsidized Cost of Heat Pumps (Dollar / House) | 156 | 2 Exogenous |
HeatPumpModel_v31 | Exogenous | Weight on Upfront Cost (dmnl ) | 157 | Hardcoded |
.housingagingchain v8 | Exogenous | White Noise (Dimensionless) | 158 | 3 Exogenous |
.housingagingchain v8 | Exogenous | White Noise 0 (Dimensionless) | 159 | 3 Exogenous |
HeatPumpModel_v31 | Exogenous | White Noise 1 (Dimensionless) | 160 | 3 Exogenous |
.Control | Exogenous | FINAL TIME (Year) | 161 | Hardcoded |
.Control | Exogenous | INITIAL TIME (Year) | 162 | Hardcoded |
.Control | Exogenous | SAVEPER (Year ) | 163 | 1 Exogenous |
.Control | Exogenous | TIME STEP (Year ) | 164 | Hardcoded |
.housingagingchain v8 | Endogenous | Input (Dimensionless) | 1 | 15 | 14 | 93.3 | 2 | 3 | 3.50 | 3.50 | 4 | 150 | 16 |
.housingagingchain v8 | Endogenous | Input 0 (Dimensionless) | 2 | 15 | 14 | 93.3 | 2 | 3 | 3.50 | 3.50 | 4 | 150 | 16 |
HeatPumpModel_v31 | Endogenous | Input 1 (Dimensionless) | 3 | 15 | 14 | 93.3 | 2 | 3 | 3.50 | 3.50 | 4 | 150 | 16 |
.housingagingchain v18 | Endogenous | Optimal U for New Homes (kBTU / (sf * Year * F)) | 4 | 6 | 5 | 83.3 | 17 | 2 | 3.41 | 4.00 | 5 | 144 | 22 |
.housingagingchain v4 testing | Endogenous | Optimal U Value for Existing Homes if no EEHIC Cap (kBTU / (sf * F * Year)) | 5 | 6 | 5 | 83.3 | 19 | 2 | 3.53 | 3.00 | 5 | 142 | 24 |
HeatPumpModel_v31 | Endogenous | Optimal U Value with No EEHIC Proportional Subsidy (kBTU / (sf * F * Year)) | 6 | 5 | 4 | 80.0 | 16 | 2 | 3.62 | 4.00 | 5 | 146 | 20 |
HeatPumpModel_v31 | Endogenous | Actual HOMES Subsidy for Retrofits (Dollar/ Home) | 7 | 4 | 3 | 75.0 | 25 | 2 | 4.16 | 5.00 | 5 | 138 | 28 |
HeatPumpModel_v31 | Endogenous | Housing Starts (Houses / Year) | 8 | 4 | 3 | 75.0 | 10 | 2 | 3.30 | 3.00 | 5 | 153 | 13 |
HeatPumpModel_v31 | Endogenous | Marginal Cost at Binding U Value without EEHIC ((Dollar / sf) / (kBTU / (sf * F * Year))) | 9 | 4 | 3 | 75.0 | 10 | 2 | 3.30 | 3.50 | 4 | 153 | 13 |
HeatPumpModel_v31 | Endogenous | U Value at Which EEHIC Cap Binds (kBTU / (F * sf * Year)) | 10 | 8 | 6 | 75.0 | 22 | 2 | 3.86 | 5.00 | 5 | 138 | 28 |
.housingagingchain v15 | Endogenous | Additional Cost of Building to U Value (Dollar / sf) | 11 | 7 | 5 | 71.4 | 24 | 2 | 3.50 | 3.50 | 5 | 137 | 29 |
HeatPumpModel_v31 | Endogenous | Actual EEHIC Subsidy for Retrofits (Dollar / House) | 12 | 3 | 2 | 66.7 | 11 | 2 | 3.27 | 3.00 | 5 | 153 | 13 |
HeatPumpModel_v31 | Endogenous | Actual MassSave Subsidy for Retrofits (Dollar / House) | 13 | 3 | 2 | 66.7 | 11 | 2 | 3.36 | 3.00 | 5 | 153 | 13 |
HeatPumpModel_v31 | Endogenous | Affinity of Heating and Cooling Systems (dmnl) | 14 | 3 | 2 | 66.7 | 4 | 3 | 4.00 | 4.00 | 5 | 160 | 6 |
HeatPumpModel_v31 | Endogenous | Affinity of Not Retrofitting (dmnl) | 15 | 3 | 2 | 66.7 | 1 | 2 | 2.00 | 2.00 | 2 | 163 | 3 |
.housingagingchain v4 testing | Endogenous | Affinity of Retrofitting (dmnl) | 16 | 3 | 2 | 66.7 | 5 | 2 | 4.00 | 5.00 | 5 | 159 | 7 |
HeatPumpModel_v31 | Endogenous | Average Emissions from Cooling by Grouping (tCO2 / (House * Year)) | 17 | 3 | 2 | 66.7 | 13 | 2 | 4.38 | 5.00 | 5 | 151 | 15 |
HeatPumpModel_v31 | Endogenous | Average Emissions from Heating by Grouping (tCO2 / (House * Year)) | 18 | 3 | 2 | 66.7 | 14 | 2 | 4.29 | 5.00 | 5 | 150 | 16 |
.housingagingchain v8 | Endogenous | Change in AC Noise (1/Year) | 19 | 3 | 2 | 66.7 | 2 | 2 | 2.00 | 2.00 | 2 | 162 | 4 |
.housingagingchain v8 | Endogenous | Change in AC Noise 0 (1/Year) | 20 | 3 | 2 | 66.7 | 2 | 2 | 2.00 | 2.00 | 2 | 162 | 4 |
HeatPumpModel_v31 | Endogenous | Change in AC Noise 1 (1/Year) | 21 | 3 | 2 | 66.7 | 2 | 2 | 2.00 | 2.00 | 2 | 162 | 4 |
.housingagingchain v15 | Endogenous | Cost of Switching Heating and Cooling Systems (Dollar / House) | 22 | 3 | 2 | 66.7 | 9 | 2 | 4.11 | 5.00 | 5 | 155 | 11 |
HeatPumpModel_v31 | Endogenous | Demolitions (House / Year) | 23 | 3 | 2 | 66.7 | 10 | 3 | 3.70 | 3.50 | 5 | 154 | 12 |
HeatPumpModel_v31 | Endogenous | Marginal Cooling Cost Reduction from Retrofitting (Dollar * F / (kBTU)) | 24 | 3 | 2 | 66.7 | 17 | 2 | 3.59 | 4.00 | 4 | 147 | 19 |
.housingagingchain v5 testing | Endogenous | Marginal Heating Cost Reduction from Retrofitting (Dollar * F / (kBTU)) | 25 | 3 | 2 | 66.7 | 18 | 2 | 3.50 | 4.00 | 4 | 146 | 20 |
HeatPumpModel_v31 | Endogenous | Total Present Value of Cost (Dollar / House) | 26 | 3 | 2 | 66.7 | 15 | 2 | 4.40 | 5.00 | 5 | 149 | 17 |
HeatPumpModel_v31 | Endogenous | EEHIC Expected Subsidy for Retrofits (Dollar / House) | 27 | 5 | 3 | 60.0 | 22 | 2 | 3.86 | 4.00 | 5 | 141 | 25 |
.housingagingchain v15 | Endogenous | MassSave Expected Subsidy for Retrofits (Dollar / House) | 28 | 5 | 3 | 60.0 | 22 | 2 | 3.91 | 4.00 | 5 | 141 | 25 |
HeatPumpModel_v31 | Endogenous | Peak Load from Heat Pumps on Coldest Days per Group (kWH / Day) | 29 | 7 | 4 | 57.1 | 19 | 3 | 3.89 | 4.00 | 5 | 143 | 23 |
HeatPumpModel_v31 | Endogenous | Peak Load from Heat Pumps on Hottest Days per Group (kWH / Day) | 30 | 7 | 4 | 57.1 | 21 | 2 | 3.71 | 4.00 | 5 | 141 | 25 |
.housingagingchain v8 | Endogenous | Aging (House * Year / Year) | 31 | 2 | 1 | 50.0 | 12 | 3 | 3.58 | 3.00 | 5 | 153 | 13 |
.housingagingchain v15 | Endogenous | Amoritized Subsidized Retrofit Cost (Dollar / (House * Year)) | 32 | 2 | 1 | 50.0 | 14 | 3 | 4.29 | 4.50 | 5 | 151 | 15 |
.housingagingchain v8 | Endogenous | Area of New Homes (sf / Year) | 33 | 2 | 1 | 50.0 | 12 | 2 | 3.17 | 3.50 | 5 | 153 | 13 |
HeatPumpModel_v31 | Endogenous | Average Cooling Energy Use (kBTU / (Year * House)) | 34 | 4 | 2 | 50.0 | 19 | 2 | 4.11 | 4.00 | 5 | 145 | 21 |
HeatPumpModel_v31 | Endogenous | Average Daily Load from Heat Pumps (kBTU / Day) | 35 | 2 | 1 | 50.0 | 9 | 5 | 5.00 | 5.00 | 5 | 156 | 10 |
HeatPumpModel_v31 | Endogenous | Average Heating Energy Use (kBTU / (Year * House)) | 36 | 4 | 2 | 50.0 | 20 | 2 | 4.00 | 4.00 | 5 | 144 | 22 |
.housingagingchain v18 | Endogenous | Code U (kBTU / (sf * Year * F)) | 37 | 2 | 1 | 50.0 | 1 | 2 | 2.00 | 2.00 | 2 | 164 | 2 |
HeatPumpModel_v31 | Endogenous | Cooling Energy Price (Dollar / kBTU) | 38 | 2 | 1 | 50.0 | 15 | 2 | 2.33 | 2.00 | 5 | 150 | 16 |
.housingagingchain v18 | Endogenous | Decrease in Code U (kBTU / (sf * Year * F) / Year) | 39 | 2 | 1 | 50.0 | 1 | 2 | 2.00 | 2.00 | 2 | 164 | 2 |
HeatPumpModel_v31 | Endogenous | Expected Cooling Energy Price (Dollar / kBTU) | 40 | 2 | 1 | 50.0 | 15 | 2 | 3.07 | 3.00 | 5 | 150 | 16 |
.housingagingchain v15 | Endogenous | Expected Heating Energy Price (Dollar / kBTU) | 41 | 2 | 1 | 50.0 | 15 | 2 | 3.07 | 3.00 | 5 | 150 | 16 |
.housingagingchain v15 | Endogenous | Expected Subsidy for Retrofits (Dollar / House) | 42 | 6 | 3 | 50.0 | 30 | 2 | 4.03 | 4.00 | 5 | 133 | 33 |
HeatPumpModel_v31 | Endogenous | Federal Annual Heat Pump Subsidy (Dollar / Year) | 43 | 2 | 1 | 50.0 | 9 | 3 | 3.56 | 3.00 | 5 | 156 | 10 |
.housingagingchain v5 testing | Endogenous | Fixed Cost per Unit Area (Dollar / sf) | 44 | 2 | 1 | 50.0 | 13 | 2 | 4.38 | 5.00 | 5 | 152 | 14 |
.housingagingchain v5 testing | Endogenous | Heating Energy Price (Dollar / (kBTU)) | 45 | 2 | 1 | 50.0 | 15 | 2 | 2.33 | 2.00 | 5 | 150 | 16 |
HeatPumpModel_v31 | Endogenous | Houses Considering Switching System (Houses / Year) | 46 | 2 | 1 | 50.0 | 11 | 3 | 3.55 | 3.00 | 5 | 154 | 12 |
.housingagingchain v8 | Endogenous | Initial Age (House * Year) | 47 | 2 | 1 | 50.0 | 9 | 4 | 4.22 | 4.00 | 5 | 156 | 10 |
.housingagingchain v15 | Endogenous | Initial U Value (House * kBTU / (Year * F * sf)) | 48 | 2 | 1 | 50.0 | 12 | 3 | 3.58 | 3.00 | 5 | 153 | 13 |
HeatPumpModel_v31 | Endogenous | Lifetime Marginal Cost Reductions from Retrofitting (Dollar * Year * F / kBTU) | 49 | 2 | 1 | 50.0 | 10 | 3 | 4.00 | 4.00 | 5 | 155 | 11 |
HeatPumpModel_v31 | Endogenous | Massachusetts Annual Heat Pumps Subsidy (Dollar / Year) | 50 | 2 | 1 | 50.0 | 8 | 2 | 3.25 | 3.00 | 5 | 157 | 9 |
HeatPumpModel_v31 | Endogenous | Monthly Total Heat Pump Sales (Houses/ Month) | 51 | 2 | 1 | 50.0 | 4 | 3 | 4.25 | 4.50 | 5 | 161 | 5 |
HeatPumpModel_v31 | Endogenous | Optimal Cooling Energy Use (kBTU / (Year * House)) | 52 | 4 | 2 | 50.0 | 27 | 2 | 3.93 | 4.00 | 5 | 137 | 29 |
HeatPumpModel_v31 | Endogenous | Optimal Heating Energy Use (kBTU / (House * Year)) | 53 | 4 | 2 | 50.0 | 28 | 2 | 3.86 | 4.00 | 5 | 136 | 30 |
HeatPumpModel_v31 | Endogenous | Perceived Cost of Not Retrofitting (Dollar / (House * Year)) | 54 | 2 | 1 | 50.0 | 0 | NA | NA | NA | NA | 165 | 1 |
.housingagingchain v5 testing | Endogenous | Present Value of Cooling Operating Costs (Dollars / (House)) | 55 | 4 | 2 | 50.0 | 39 | 2 | 4.13 | 4.00 | 5 | 125 | 41 |
.housingagingchain v5 testing | Endogenous | Present Value of Heating Operating Costs (Dollar / (House)) | 56 | 4 | 2 | 50.0 | 40 | 2 | 4.10 | 4.00 | 5 | 124 | 42 |
.housingagingchain v5 testing | Endogenous | Unsubsidized Retrofit Cost Intensity (Dollar / sf) | 57 | 6 | 3 | 50.0 | 24 | 2 | 4.46 | 5.00 | 5 | 139 | 27 |
HeatPumpModel_v31 | Endogenous | Cooling Energy Use Under Alternatives (kBTU / (House * Year)) | 58 | 5 | 2 | 40.0 | 31 | 2 | 3.77 | 4.00 | 5 | 133 | 33 |
HeatPumpModel_v31 | Endogenous | Heating Energy Use Under Alternatives (kBTU / (House * Year)) | 59 | 5 | 2 | 40.0 | 32 | 2 | 3.72 | 4.00 | 5 | 132 | 34 |
HeatPumpModel_v31 | Endogenous | Average EUI by Grouping (kBTU / (sf * Year)) | 60 | 3 | 1 | 33.3 | 18 | 3 | 4.39 | 5.00 | 5 | 147 | 19 |
HeatPumpModel_v31 | Endogenous | Average U Value of Houses Switching Into Sources (kBTU / (sf * F * Year)) | 61 | 3 | 1 | 33.3 | 4 | 3 | 4.25 | 4.50 | 5 | 161 | 5 |
HeatPumpModel_v31 | Endogenous | Fraction of Houses in Each Heating and Cooling System (dmnl) | 62 | 3 | 1 | 33.3 | 10 | 4 | 4.30 | 4.00 | 5 | 155 | 11 |
HeatPumpModel_v31 | Endogenous | Houses Switching Sources (House / Year) | 63 | 3 | 1 | 33.3 | 12 | 2 | 3.92 | 4.00 | 5 | 153 | 13 |
HeatPumpModel_v31 | Endogenous | Housing (House) | 64 | 6 | 2 | 33.3 | 14 | 2 | 2.93 | 2.50 | 5 | 150 | 16 |
HeatPumpModel_v31 | Endogenous | Net Change in Homes Retrofitting (Houses / Year) | 65 | 3 | 1 | 33.3 | 14 | 3 | 3.79 | 4.00 | 5 | 151 | 15 |
HeatPumpModel_v31 | Endogenous | Perceived Cost of Retrofitting (Dollar / (House * Year)) | 66 | 3 | 1 | 33.3 | 8 | 2 | 4.25 | 4.50 | 5 | 157 | 9 |
.housingagingchain v15 | Endogenous | Subsidized Retrofit Cost (Dollar /House) | 67 | 3 | 1 | 33.3 | 23 | 2 | 3.96 | 4.00 | 5 | 142 | 24 |
HeatPumpModel_v31 | Endogenous | Houses Retrofitting per Year (House / Year) | 68 | 4 | 1 | 25.0 | 28 | 2 | 3.61 | 3.50 | 5 | 137 | 29 |
HeatPumpModel_v31 | Endogenous | Retrofitting (House * kBTU / (sf * F* Year) / Year) | 69 | 4 | 1 | 25.0 | 28 | 2 | 3.61 | 3.50 | 5 | 137 | 29 |
.housingagingchain v8 | Endogenous | Area (sf) | 70 | 5 | 1 | 20.0 | 12 | 3 | 3.58 | 3.50 | 5 | 153 | 13 |
.housingagingchain v8 | Endogenous | Age Removal (House * Year /Year) | 71 | 2 | 0 | 0.0 | 11 | 2 | 3.82 | 4.00 | 5 | 155 | 11 |
HeatPumpModel_v31 | Endogenous | Annual Federal Subsidies (Dollar / Year) | 72 | 2 | 0 | 0.0 | 30 | 3 | 4.33 | 4.00 | 5 | 136 | 30 |
HeatPumpModel_v31 | Endogenous | Annual Heat Pump Subsidy (Dollar / Year) | 73 | 2 | 0 | 0.0 | 10 | 3 | 3.80 | 4.00 | 5 | 156 | 10 |
HeatPumpModel_v31 | Endogenous | Annual Load from Heat Pumps (kBTU / Year) | 74 | 1 | 0 | 0.0 | 17 | 4 | 4.47 | 4.00 | 5 | 149 | 17 |
HeatPumpModel_v31 | Endogenous | Annual MA Subsidies (Dollar / Year) | 75 | 2 | 0 | 0.0 | 24 | 3 | 4.38 | 5.00 | 5 | 142 | 24 |
HeatPumpModel_v31 | Endogenous | Annual Retrofit Subsidy (Dollar / Year) | 76 | 2 | 0 | 0.0 | 28 | 3 | 4.39 | 4.00 | 5 | 138 | 28 |
HeatPumpModel_v31 | Endogenous | Annual Subsidies (Dollar / Year) | 77 | 2 | 0 | 0.0 | 24 | 4 | 4.79 | 5.00 | 5 | 142 | 24 |
.housingagingchain v8 | Endogenous | Area Removal (sf /Year) | 78 | 2 | 0 | 0.0 | 13 | 2 | 4.00 | 4.00 | 5 | 153 | 13 |
.housingagingchain v8 | Endogenous | Autocorrelated Noise (Dimensionless) | 79 | 1 | 0 | 0.0 | 3 | 2 | 2.67 | 3.00 | 3 | 163 | 3 |
.housingagingchain v8 | Endogenous | Autocorrelated Noise 0 (Dimensionless) | 80 | 1 | 0 | 0.0 | 3 | 2 | 2.67 | 3.00 | 3 | 163 | 3 |
HeatPumpModel_v31 | Endogenous | Autocorrelated Noise 1 (Dimensionless) | 81 | 1 | 0 | 0.0 | 3 | 2 | 2.67 | 3.00 | 3 | 163 | 3 |
.housingagingchain v8 | Endogenous | Average Age in All Housing (Year) | 82 | 2 | 0 | 0.0 | 11 | 3 | 4.00 | 4.00 | 5 | 155 | 11 |
.housingagingchain v8 | Endogenous | Average Age (Year) | 83 | 2 | 0 | 0.0 | 11 | 3 | 4.00 | 4.00 | 5 | 155 | 11 |
.housingagingchain v8 | Endogenous | Average Area in All Housing (sf/ House) | 84 | 2 | 0 | 0.0 | 13 | 3 | 4.31 | 4.00 | 5 | 153 | 13 |
HeatPumpModel_v31 | Endogenous | Average Area (sf / House) | 85 | 2 | 0 | 0.0 | 13 | 2 | 4.00 | 4.00 | 5 | 153 | 13 |
HeatPumpModel_v31 | Endogenous | Average Cooling Cost Across All Homes (Dollar / House/ Year) | 86 | 2 | 0 | 0.0 | 17 | 3 | 3.88 | 4.00 | 5 | 149 | 17 |
HeatPumpModel_v31 | Endogenous | Average Cooling Cost (Dollar / (Year * House)) | 87 | 2 | 0 | 0.0 | 28 | 2 | 4.07 | 4.00 | 5 | 138 | 28 |
HeatPumpModel_v31 | Endogenous | Average Cooling Energy Use Across All Homes (kBTU / Year / House) | 88 | 2 | 0 | 0.0 | 14 | 3 | 4.21 | 4.00 | 5 | 152 | 14 |
HeatPumpModel_v31 | Endogenous | Average Emissions (tCO2 / House / Year) | 89 | 2 | 0 | 0.0 | 13 | 4 | 4.46 | 4.00 | 5 | 153 | 13 |
HeatPumpModel_v31 | Endogenous | Average Emissions by Grouping (tCO2 / (Year * House)) | 90 | 2 | 0 | 0.0 | 11 | 2 | 3.36 | 4.00 | 5 | 155 | 11 |
HeatPumpModel_v31 | Endogenous | Average Emissions by Heating and Cooling System (tCO2 / Year / House) | 91 | 2 | 0 | 0.0 | 13 | 4 | 4.46 | 4.00 | 5 | 153 | 13 |
HeatPumpModel_v31 | Endogenous | Average Energy Cost (Dollar / (Year * House)) | 92 | 2 | 0 | 0.0 | 35 | 3 | 4.63 | 5.00 | 5 | 131 | 35 |
.housingagingchain v15 | Endogenous | Average Energy Costs for Retrofitting Home (Dollar / Year / House) | 93 | 1 | 0 | 0.0 | 10 | 4 | 4.70 | 5.00 | 5 | 156 | 10 |
.housingagingchain v8 | Endogenous | Average Energy Costs if Retrofitted (Dollar/(Year*House)) | 94 | 1 | 0 | 0.0 | 12 | 4 | 4.75 | 5.00 | 5 | 154 | 12 |
HeatPumpModel_v31 | Endogenous | Average Energy Use by Heating and Cooling System (kBTU / (House * Year)) | 95 | 2 | 0 | 0.0 | 19 | 3 | 4.00 | 4.00 | 5 | 147 | 19 |
HeatPumpModel_v31 | Endogenous | Average Energy Use in All Housing (kBTU / Year / House) | 96 | 2 | 0 | 0.0 | 12 | 4 | 4.42 | 4.00 | 5 | 154 | 12 |
HeatPumpModel_v31 | Endogenous | Average Energy Use (kBTU / (Year * House)) | 97 | 2 | 0 | 0.0 | 17 | 2 | 4.00 | 5.00 | 5 | 149 | 17 |
HeatPumpModel_v31 | Endogenous | Average EUI in All Housing (kBTU / (sf * Year)) | 98 | 2 | 0 | 0.0 | 8 | 4 | 4.88 | 5.00 | 5 | 158 | 8 |
HeatPumpModel_v31 | Endogenous | Average Heating Cost Across All Homes (Dollar / Year / House) | 99 | 2 | 0 | 0.0 | 18 | 3 | 3.94 | 4.00 | 5 | 148 | 18 |
.housingagingchain v5 testing | Endogenous | Average Heating Cost (Dollar / (Year * House)) | 100 | 2 | 0 | 0.0 | 29 | 2 | 4.03 | 4.00 | 5 | 137 | 29 |
HeatPumpModel_v31 | Endogenous | Average Heating Energy Use Across All Homes (kBTU / (Year * House)) | 101 | 2 | 0 | 0.0 | 15 | 3 | 4.20 | 4.00 | 5 | 151 | 15 |
HeatPumpModel_v31 | Endogenous | Average Indicated Fraction of Homes Retrofitting (dmnl) | 102 | 2 | 0 | 0.0 | 13 | 4 | 4.31 | 4.00 | 5 | 153 | 13 |
HeatPumpModel_v31 | Endogenous | Average Subsidized Retrofit Cost (Dollar / House) | 103 | 2 | 0 | 0.0 | 26 | 3 | 3.96 | 4.00 | 5 | 140 | 26 |
HeatPumpModel_v31 | Endogenous | Average U Value by Heating and Cooling System (kBTU / (sf * F * Year)) | 104 | 2 | 0 | 0.0 | 14 | 4 | 4.36 | 4.00 | 5 | 152 | 14 |
.housingagingchain v4 testing | Endogenous | Average U Value in All Housing (kBTU / (sf * F * Year)) | 105 | 2 | 0 | 0.0 | 12 | 4 | 4.42 | 4.00 | 5 | 154 | 12 |
HeatPumpModel_v31 | Endogenous | Cumulative Emissions (tCO2) | 106 | 1 | 0 | 0.0 | 10 | 5 | 5.00 | 5.00 | 5 | 156 | 10 |
HeatPumpModel_v31 | Endogenous | Cumulative Federal Subsidy (Dollar) | 107 | 1 | 0 | 0.0 | 18 | 4 | 4.89 | 5.00 | 5 | 148 | 18 |
HeatPumpModel_v31 | Endogenous | Cumulative MA Subsidy (Dollar) | 108 | 1 | 0 | 0.0 | 11 | 4 | 4.64 | 5.00 | 5 | 155 | 11 |
HeatPumpModel_v31 | Endogenous | Cumulative Subsidies (Dollar) | 109 | 2 | 0 | 0.0 | 5 | 5 | 5.00 | 5.00 | 5 | 161 | 5 |
HeatPumpModel_v31 | Endogenous | Cumulative Subsidies for Heat Pumps (Dollar) | 110 | 1 | 0 | 0.0 | 9 | 4 | 4.67 | 5.00 | 5 | 157 | 9 |
HeatPumpModel_v31 | Endogenous | Cumulative Subsidy for Retrofits (Dollar) | 111 | 1 | 0 | 0.0 | 15 | 4 | 4.87 | 5.00 | 5 | 151 | 15 |
HeatPumpModel_v31 | Endogenous | Emissions (tCO2 / Year) | 112 | 1 | 0 | 0.0 | 15 | 4 | 4.33 | 4.00 | 5 | 151 | 15 |
HeatPumpModel_v31 | Endogenous | Emissions by Grouping (tCO2 / Year) | 113 | 2 | 0 | 0.0 | 22 | 3 | 3.86 | 4.00 | 5 | 144 | 22 |
HeatPumpModel_v31 | Endogenous | Emissions by Heating and Cooling System (tCO2 / Year) | 114 | 1 | 0 | 0.0 | 15 | 4 | 4.33 | 4.00 | 5 | 151 | 15 |
HeatPumpModel_v31 | Endogenous | Energy Savings (dmnl) | 115 | 2 | 0 | 0.0 | 27 | 2 | 3.89 | 4.00 | 5 | 139 | 27 |
HeatPumpModel_v31 | Endogenous | Energy Use by Gas Houses (kBTU/ Year) | 116 | 1 | 0 | 0.0 | 17 | 4 | 4.47 | 4.00 | 5 | 149 | 17 |
HeatPumpModel_v31 | Endogenous | Energy Use by Grouping (kBTU / Year) | 117 | 2 | 0 | 0.0 | 20 | 3 | 3.70 | 4.00 | 5 | 146 | 20 |
HeatPumpModel_v31 | Endogenous | Energy Use by Heat Pump Houses (kBTU / Year) | 118 | 1 | 0 | 0.0 | 17 | 4 | 4.47 | 4.00 | 5 | 149 | 17 |
HeatPumpModel_v31 | Endogenous | Energy Use by Oil Houses (kBTU / Year) | 119 | 1 | 0 | 0.0 | 17 | 4 | 4.47 | 4.00 | 5 | 149 | 17 |
HeatPumpModel_v31 | Endogenous | Federal Annual Retrofit Subsidy (Dollar / Year) | 120 | 3 | 0 | 0.0 | 31 | 2 | 3.77 | 4.00 | 5 | 135 | 31 |
.housingagingchain v5 testing | Endogenous | Fraction of Houses Switching (dmnl) | 121 | 1 | 0 | 0.0 | 5 | 2 | 3.60 | 4.00 | 5 | 161 | 5 |
HeatPumpModel_v31 | Endogenous | Fraction of Housing by Heating and Cooling System (dmnl) | 122 | 2 | 0 | 0.0 | 10 | 4 | 4.30 | 4.00 | 5 | 156 | 10 |
HeatPumpModel_v31 | Endogenous | Fraction Retrofitting (dmnl) | 123 | 1 | 0 | 0.0 | 7 | 5 | 5.00 | 5.00 | 5 | 159 | 7 |
HeatPumpModel_v31 | Endogenous | Fraction Retrofitting by Cohort (dmnl) | 124 | 1 | 0 | 0.0 | 12 | 3 | 3.58 | 3.00 | 5 | 154 | 12 |
HeatPumpModel_v31 | Endogenous | Fraction Retrofitting by System and Cohort (dmnl) | 125 | 1 | 0 | 0.0 | 12 | 3 | 3.58 | 3.00 | 5 | 154 | 12 |
HeatPumpModel_v31 | Endogenous | Houses Retrofitting (Houses) | 126 | 1 | 0 | 0.0 | 12 | 3 | 3.58 | 3.00 | 5 | 154 | 12 |
HeatPumpModel_v31 | Endogenous | Houses Switching Into Sources (Houses / Year) | 127 | 1 | 0 | 0.0 | 10 | 2 | 4.30 | 5.00 | 5 | 156 | 10 |
HeatPumpModel_v31 | Endogenous | Housing by Cohort and Heating and Cooling System (Houses) | 128 | 1 | 0 | 0.0 | 12 | 3 | 3.58 | 3.00 | 5 | 154 | 12 |
HeatPumpModel_v31 | Endogenous | Housing by Cohort and Retrofitting Status (House) | 129 | 1 | 0 | 0.0 | 12 | 3 | 3.58 | 3.00 | 5 | 154 | 12 |
HeatPumpModel_v31 | Endogenous | Housing by Cohort (House) | 130 | 1 | 0 | 0.0 | 12 | 3 | 3.58 | 3.00 | 5 | 154 | 12 |
HeatPumpModel_v31 | Endogenous | Housing by Heating and Cooling System (House) | 131 | 1 | 0 | 0.0 | 12 | 3 | 3.58 | 3.00 | 5 | 154 | 12 |
HeatPumpModel_v31 | Endogenous | Housing by Retrofitting Status (House) | 132 | 1 | 0 | 0.0 | 10 | 4 | 4.30 | 4.00 | 5 | 156 | 10 |
HeatPumpModel_v31 | Endogenous | Housing Starts Across Cohorts () | 133 | 1 | 0 | 0.0 | 9 | 3 | 4.33 | 5.00 | 5 | 157 | 9 |
HeatPumpModel_v31 | Endogenous | Housing Starts In Each Cohort (House / Year) | 134 | 1 | 0 | 0.0 | 10 | 2 | 3.50 | 4.00 | 5 | 156 | 10 |
.housingagingchain v18 | Endogenous | Increase in U Value from Housing Starts (House * kBTU / (Year * F * sf) / Year) | 135 | 2 | 0 | 0.0 | 25 | 2 | 3.88 | 4.00 | 5 | 141 | 25 |
HeatPumpModel_v31 | Endogenous | Indicated Fraction of Homes Retrofitting (dmnl) | 136 | 2 | 0 | 0.0 | 4 | 2 | 2.75 | 2.50 | 4 | 162 | 4 |
HeatPumpModel_v31 | Endogenous | Indicated Homes Retrofitting (House) | 137 | 2 | 0 | 0.0 | 14 | 3 | 4.14 | 4.00 | 5 | 152 | 14 |
.housingagingchain v15 | Endogenous | Marginal Cost Reductions from Retrofitting (Dollar * F / kBTU) | 138 | 2 | 0 | 0.0 | 34 | 2 | 4.41 | 5.00 | 5 | 132 | 34 |
HeatPumpModel_v31 | Endogenous | Massachusetts Annual Retrofit Subsidy (Dollar / Year) | 139 | 2 | 0 | 0.0 | 27 | 2 | 4.04 | 4.00 | 5 | 139 | 27 |
HeatPumpModel_v31 | Endogenous | Net Age Shift by System (Year * House / Year) | 140 | 2 | 0 | 0.0 | 13 | 2 | 4.15 | 4.00 | 5 | 153 | 13 |
HeatPumpModel_v31 | Endogenous | Net Age Shift from Retrofitting Status Shifting (House * Year / Year) | 141 | 1 | 0 | 0.0 | 9 | 3 | 4.78 | 5.00 | 5 | 157 | 9 |
.housingagingchain v8 | Endogenous | Net Area Shift by System (sf / Year) | 142 | 2 | 0 | 0.0 | 15 | 2 | 4.27 | 4.00 | 5 | 151 | 15 |
HeatPumpModel_v31 | Endogenous | Net Area Shift due to Retrofit Status Switching (sf / Year) | 143 | 1 | 0 | 0.0 | 8 | 3 | 4.62 | 5.00 | 5 | 158 | 8 |
HeatPumpModel_v31 | Endogenous | Net U Value Change from Retrofitting Home Shifts (House * kBTU / (Year * F * sf) / Year) | 144 | 2 | 0 | 0.0 | 16 | 2 | 4.31 | 4.00 | 5 | 150 | 16 |
HeatPumpModel_v31 | Endogenous | Optimal Cooling Cost (Dollar / (Year * House)) | 145 | 2 | 0 | 0.0 | 31 | 2 | 3.87 | 4.00 | 5 | 135 | 31 |
HeatPumpModel_v31 | Endogenous | Optimal Energy Cost (Dollar / (Year * House)) | 146 | 2 | 0 | 0.0 | 42 | 3 | 4.64 | 5.00 | 5 | 124 | 42 |
HeatPumpModel_v31 | Endogenous | Optimal Energy Use (kBTU / (House * Year)) | 147 | 2 | 0 | 0.0 | 20 | 2 | 3.70 | 4.00 | 5 | 146 | 20 |
HeatPumpModel_v31 | Endogenous | Optimal Heating Cost (Dollar / (Year * House)) | 148 | 2 | 0 | 0.0 | 32 | 2 | 3.84 | 4.00 | 5 | 134 | 32 |
HeatPumpModel_v31 | Endogenous | Optimal U Across All Housing (kBTU / (sf * F * Year)) | 149 | 3 | 0 | 0.0 | 27 | 2 | 3.59 | 3.00 | 5 | 139 | 27 |
HeatPumpModel_v31 | Endogenous | Optimal U Value for Existing Homes (kBTU / (sf * F * Year)) | 150 | 5 | 0 | 0.0 | 24 | 2 | 3.83 | 4.00 | 5 | 142 | 24 |
HeatPumpModel_v31 | Endogenous | Peak Cooling Load on Grid (kWH / Day) | 151 | 1 | 0 | 0.0 | 18 | 2 | 3.83 | 4.00 | 5 | 148 | 18 |
HeatPumpModel_v31 | Endogenous | Peak Heating Load on Grid (kWH / Day) | 152 | 1 | 0 | 0.0 | 17 | 2 | 3.82 | 4.00 | 5 | 149 | 17 |
HeatPumpModel_v31 | Endogenous | Present Value of Operating Costs (Dollar / (House) ) | 153 | 2 | 0 | 0.0 | 43 | 2 | 4.51 | 5.00 | 5 | 123 | 43 |
HeatPumpModel_v31 | Endogenous | Retrofitting Across Cohorts and Systems (House * kBTU / ( Year * Year * sf * F)) | 154 | 1 | 0 | 0.0 | 24 | 2 | 4.21 | 4.00 | 5 | 142 | 24 |
.housingagingchain v8 | Endogenous | Total Age (House * Year) | 155 | 4 | 0 | 0.0 | 11 | 2 | 3.64 | 4.00 | 5 | 155 | 11 |
HeatPumpModel_v31 | Endogenous | Total Area (sf) | 156 | 1 | 0 | 0.0 | 12 | 2 | 4.25 | 4.00 | 5 | 154 | 12 |
HeatPumpModel_v31 | Endogenous | Total Cooling Cost (Dollar / Year) | 157 | 2 | 0 | 0.0 | 30 | 3 | 4.20 | 4.50 | 5 | 136 | 30 |
HeatPumpModel_v31 | Endogenous | Total Cooling Energy Use (kBTU/ Year) | 158 | 2 | 0 | 0.0 | 18 | 2 | 3.61 | 3.00 | 5 | 148 | 18 |
HeatPumpModel_v31 | Endogenous | Total Cost of Ownership of Average Home (Dollar / (Year * House)) | 159 | 1 | 0 | 0.0 | 3 | 5 | 5.00 | 5.00 | 5 | 163 | 3 |
HeatPumpModel_v31 | Endogenous | Total Cost of Ownership of Retrofitted Homes (Dollar / (House * Year)) | 160 | 2 | 0 | 0.0 | 11 | 2 | 4.45 | 5.00 | 5 | 155 | 11 |
HeatPumpModel_v31 | Endogenous | Total Energy Use (kBTU / Year) | 161 | 1 | 0 | 0.0 | 17 | 4 | 4.47 | 4.00 | 5 | 149 | 17 |
HeatPumpModel_v31 | Endogenous | Total Heat Pump Sales (House / Year) | 162 | 1 | 0 | 0.0 | 10 | 2 | 4.30 | 5.00 | 5 | 156 | 10 |
HeatPumpModel_v31 | Endogenous | Total Heating Cost (Dollar / Year) | 163 | 2 | 0 | 0.0 | 31 | 3 | 4.19 | 4.00 | 5 | 135 | 31 |
HeatPumpModel_v31 | Endogenous | Total Heating Energy Use (kBTU/ Year) | 164 | 2 | 0 | 0.0 | 19 | 2 | 3.58 | 3.00 | 5 | 147 | 19 |
HeatPumpModel_v31 | Endogenous | Total Housing Starts (House/ Year) | 165 | 1 | 0 | 0.0 | 10 | 2 | 3.50 | 4.00 | 5 | 156 | 10 |
.housingagingchain v4 testing | Endogenous | Total Housing Stock (House) | 166 | 1 | 0 | 0.0 | 12 | 3 | 3.58 | 3.00 | 5 | 154 | 12 |
HeatPumpModel_v31 | Endogenous | Total U Value Across All Groupings (House * kBTU / (sf * F * Year)) | 167 | 1 | 0 | 0.0 | 9 | 4 | 4.78 | 5.00 | 5 | 157 | 9 |
HeatPumpModel_v31 | Endogenous | Total U Value by Cohort (House * kBTU / (sf * F * Year)) | 168 | 1 | 0 | 0.0 | 20 | 3 | 4.45 | 5.00 | 5 | 146 | 20 |
HeatPumpModel_v31 | Endogenous | Total U Value by Heating and Cooling System (House * kBTU / (sf * F * Year)) | 169 | 1 | 0 | 0.0 | 20 | 3 | 4.45 | 5.00 | 5 | 146 | 20 |
HeatPumpModel_v31 | Endogenous | Total U Value (House * kBTU / (Year * F * sf) ) | 170 | 6 | 0 | 0.0 | 28 | 2 | 3.89 | 4.00 | 5 | 138 | 28 |
HeatPumpModel_v31 | Endogenous | U Value by Grouping (kBTU / (sf * F * Year)) | 171 | 2 | 0 | 0.0 | 22 | 3 | 3.95 | 4.00 | 5 | 144 | 22 |
HeatPumpModel_v31 | Endogenous | U Value Increase from Source Switching (kBTU*House/(Year*Year*sf*F)) | 172 | 1 | 0 | 0.0 | 12 | 3 | 4.75 | 5.00 | 5 | 154 | 12 |
HeatPumpModel_v31 | Endogenous | U Value Loss from Demolition (House * kBTU / (Year * F * sf) / Year) | 173 | 2 | 0 | 0.0 | 14 | 2 | 4.07 | 4.00 | 5 | 152 | 14 |
.housingagingchain v18 | Endogenous | U Value of Housing Starts (kBTU / (Year * F * sf)) | 174 | 3 | 0 | 0.0 | 26 | 2 | 3.88 | 4.00 | 5 | 140 | 26 |
HeatPumpModel_v31 | Endogenous | U Value of Retrofitting Homes (kBTU / (sf * Year * F)) | 175 | 1 | 0 | 0.0 | 14 | 4 | 4.36 | 4.00 | 5 | 152 | 14 |
HeatPumpModel_v31 | Endogenous | U Value Retrofitted Away (House * kBTU / (Year * F * sf)) | 176 | 1 | 0 | 0.0 | 24 | 2 | 4.21 | 4.00 | 5 | 142 | 24 |
HeatPumpModel_v31 | Endogenous | U Value Shift from Source Switching (House * kBTU / (Year * F * sf) / Year) | 177 | 2 | 0 | 0.0 | 16 | 2 | 4.06 | 4.00 | 5 | 150 | 16 |
.housingagingchain v8 | Endogenous | Unsubsidized Retrofit Cost (Dollar / House) | 178 | 2 | 0 | 0.0 | 19 | 2 | 4.26 | 5.00 | 5 | 147 | 19 |
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Not in View | 2Variables (0.6%) |
Age | 14Variables (3.9%) |
Area | 18Variables (5%) |
Average Attributes | 64Variables (17.6%) |
Average and Peak Load | 17Variables (4.7%) |
Carbon Emissions | 13Variables (3.6%) |
Cumulative Subsidies | 39Variables (10.7%) |
Energy Use | 28Variables (7.7%) |
Housing Aging Chain & U Coflows | 68Variables (18.7%) |
Input Test | 59Variables (16.3%) |
Optimal U & Retrofit Costs | 42Variables (11.6%) |
Perceived Subsidies & Costs | 64Variables (17.6%) |
Retrofitting Decision Making | 23Variables (6.3%) |
Social Influence in Retrofitting Decisions | 1Variables (0.3%) |
Switching Systems | 34Variables (9.4%) |
U Value of Housing Starts | 18Variables (5%) |