Building Energy Simulation
Theory: adding up the heat-loss paths
Overview
How much does better insulation cut a house's heating bill?
First add up every path by which heat leaves. For walls, roof, floor and windows, multiply heat transmittance (U-value) by area, then add the heat carried off by ventilation air. That's the heat-loss coefficient H, in watts lost per kelvin of indoor–outdoor difference. Annual heating demand is roughly H times heating degree-days, the indoor–outdoor difference accumulated over the heating season. In reality sun, appliances and occupants help heat the house and thermal mass smooths temperature swings, so precise answers need hour-by-hour simulation.
Heat-loss coefficient
n is air changes per hour, V the interior volume and η_HR the heat-recovery efficiency.
Degree-days and peak load
HDD is heating degree-days (K·day) and ΔT_bp the drop in balance-point temperature due to internal gains Q_gain.
Programs born of the oil crisis
Hourly building-energy programs were developed in earnest after the 1970s oil crises. In the US, DOE-2 and BLAST were created and merged into EnergyPlus, released in 2001. Japan developed air-conditioning load programs such as HASP in the same era. All use hourly weather data and step through conduction within walls and solar gains in sequence.
Worked examples
Example 1: house heat-loss coefficient (walls 150, roof 60, floor 60, windows 25 m²; 300 m³; 0.5 ACH)
| Specification | U (wall, roof, floor, window) | H | Window share | Ventilation share |
|---|---|---|---|---|
| Older insulation | 0.9 / 0.6 / 0.8 / 4.65 | 386 W/K | 30% | 13% |
| Improved insulation | 0.3 / 0.15 / 0.3 / 1.6 | 163 W/K | 25% | 31% |
| Improved + 80% heat recovery | 0.3 / 0.15 / 0.3 / 1.6 | 122 W/K | 33% | 8% |
Example 2: annual and peak heating load (indoor 20 °C)
| Specification | 1,500 HDD | 3,500 HDD | Peak (−2 °C) | Peak (−15 °C) |
|---|---|---|---|---|
| Older insulation | 13,905 kWh | 32,445 kWh | 8.5 kW | 13.5 kW |
| Improved insulation | 5,868 kWh | 13,692 kWh | 3.6 kW | 5.7 kW |
| Improved + heat recovery | 4,399 kWh | 10,265 kWh | 2.7 kW | 4.3 kW |
With a heat pump of COP 3, electricity at 3,500 HDD is about 10,800, 4,600 and 3,400 kWh.
Better insulation makes ventilation's share bigger.
Ventilation loss (51 W/K) doesn't change with insulation, so it stands out as everything else shrinks — 13% in the older house, 31% after improvement. Then recovering exhaust heat with heat-recovery ventilation pays off. Cutting ventilation rates to reduce loss, though, harms indoor air quality and should be avoided. Internal gains matter too: with an average 400 W from appliances and people, the insulated house's balance point drops 2.5 K, shortening the heating season. Including this in the degree-day method requires lowering the base temperature. Solar gains behave similarly and matter more in well-insulated houses, so evaluate them with hourly simulation.
Simulation workflow
- Hand-calculate the heat-loss coefficient from envelope areas, U-values and ventilation as a benchmark.
- Prepare hourly weather data (temperature, solar) for the site.
- Enter wall layers (conductivity, density, specific heat) to capture thermal mass.
- Set internal gains from occupancy, lighting and equipment schedules.
- Compare annual results with the hand degree-day estimate for gross discrepancies.
“Heating costs double the estimate”
An insulation-upgraded house used nearly twice the simulated heating energy. The simulation assumed the design ventilation of 0.5 ACH, but leakage through gaps around window frames and pipe penetrations was large; an airtightness test showed effective air change above 1 per hour. In a well-insulated house ventilation is a large share of loss, so infiltration hit directly. Redoing the air sealing brought heating energy close to the calculation.
Common mistakes
Mistakes and fixes
| Mistake | Effect | Fix |
|---|---|---|
| Ignoring infiltration | Heating load underestimated | Include airtightness |
| Ignoring thermal bridges | Heat loss underestimated | Add linear transmittances |
| Fixed degree-day base | Overestimate for tight houses | Correct for gains |
| Wrong-site weather | Loads far off | Use site data |
| Cutting ventilation to save energy | Air quality suffers | Heat-recovery ventilation |
I'd like to learn related topics.
Related pages include thermal mass, passive cooling, thermal comfort (PMV), ASHRAE standards and radiant heating and cooling.
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