Battery thermal test heat balance calculator

Calculate final above-ambient temperature and temperature change with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use final above-ambient temperature and temperature change to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Electrical heat generation (W)
100
Heat capacity of thermal mass (J/K)
10000
Ambient thermal conductance (W/K)
5
Initial minus ambient temperature (K)
0
Test duration (seconds)
600
Final above-ambient temperature (K)
5.183636
Temperature change (K)
5.183636

Try another scenario

Electrical heat generation (W)
101
Heat capacity of thermal mass (J/K)
10000
Ambient thermal conductance (W/K)
5
Initial minus ambient temperature (K)
0
Test duration (seconds)
600
Final above-ambient temperature (K)
5.235472
Temperature change (K)
5.235472
Calculation method

Calculation method

Final above-ambient temperature (K)

Lumped constant heat capacity and Newton cooling: C dθ/dt=P−Hθ; adiabatic branch when H=0.

Temperature change (K)

Lumped constant heat capacity and Newton cooling: C dθ/dt=P−Hθ; adiabatic branch when H=0.

Symbols and units
a
Electrical heat generation (W)
b
Heat capacity of thermal mass (J/K)
c
Ambient thermal conductance (W/K)
d
Initial minus ambient temperature (K)
e
Test duration (seconds)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • User-supplied measurements and assumptions; Lumped constant heat capacity and Newton cooling: C dθ/dt=P−Hθ; adiabatic branch when H=0. Supported limits: Finite numeric values bounded to 1e9 magnitude; lists and tables contain 1–100 records unless a stricter bound is stated. Inputs use the units shown. Lists explicitly paired by a method must have matching lengths; independent polynomial coefficient vectors may differ. Respect stated physical, interpolation, policy and computational domain limits.
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