Building Energy Simulation

Category: Thermal Analysis – HVAC | Revised 2026-10-01
CAE visualization for building energy theory - technical simulation diagram
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

$$ H = \sum_i U_i A_i + \rho c_p\, n\, V\,(1 - \eta_{HR}),\qquad \rho c_p \approx 0.34\ \mathrm{Wh/(m^3K)} $$

n is air changes per hour, V the interior volume and η_HR the heat-recovery efficiency.

Degree-days and peak load

$$ Q_{year} = \frac{24\,H\cdot HDD}{1000}\ \mathrm{[kWh]},\qquad P_{peak} = H\,(T_i - T_{o,design}),\qquad \Delta T_{bp} = \frac{Q_{gain}}{H} $$

HDD is heating degree-days (K·day) and ΔT_bp the drop in balance-point temperature due to internal gains Q_gain.

Coffee Break Trivia

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)

SpecificationU (wall, roof, floor, window)HWindow shareVentilation share
Older insulation0.9 / 0.6 / 0.8 / 4.65386 W/K30%13%
Improved insulation0.3 / 0.15 / 0.3 / 1.6163 W/K25%31%
Improved + 80% heat recovery0.3 / 0.15 / 0.3 / 1.6122 W/K33%8%

Example 2: annual and peak heating load (indoor 20 °C)

Specification1,500 HDD3,500 HDDPeak (−2 °C)Peak (−15 °C)
Older insulation13,905 kWh32,445 kWh8.5 kW13.5 kW
Improved insulation5,868 kWh13,692 kWh3.6 kW5.7 kW
Improved + heat recovery4,399 kWh10,265 kWh2.7 kW4.3 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

  1. Hand-calculate the heat-loss coefficient from envelope areas, U-values and ventilation as a benchmark.
  2. Prepare hourly weather data (temperature, solar) for the site.
  3. Enter wall layers (conductivity, density, specific heat) to capture thermal mass.
  4. Set internal gains from occupancy, lighting and equipment schedules.
  5. Compare annual results with the hand degree-day estimate for gross discrepancies.
Coffee Break Trivia

“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

MistakeEffectFix
Ignoring infiltrationHeating load underestimatedInclude airtightness
Ignoring thermal bridgesHeat loss underestimatedAdd linear transmittances
Fixed degree-day baseOverestimate for tight housesCorrect for gains
Wrong-site weatherLoads far offUse site data
Cutting ventilation to save energyAir quality suffersHeat-recovery ventilation
🙋

I'd like to learn related topics.

Related Simulators

Experience the theory firsthand with the interactive simulator for this field

All Simulators

Related fields

Structural AnalysisFluid Analysis (CFD)Manufacturing & Process Simulation
Rate this article
Thank you for your feedback!
Helpful
More details
Report error
Helpful
0
More details
0
Report error
0