Battery usable-window energy calculator

Calculate usable integrated energy and usable charge with your own figures.

Your numbers

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

Use usable integrated energy and usable charge to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Charge coordinates along voltage curve (Ah)
0,10,20,30,40,50
Terminal voltages at coordinates (V)
3,3.4,3.6,3.7,3.8,4.1
Lower usable charge coordinate (Ah)
10
Upper usable charge coordinate (Ah)
40
Usable integrated energy (Wh)
109
Usable charge (Ah)
30
Mean voltage in usable window (V)
3.633333

Try another scenario

Charge coordinates along voltage curve (Ah)
[0, 11, 20, 30, 40, 50]
Terminal voltages at coordinates (V)
[3, 3.4, 3.6, 3.7, 3.8, 4.1]
Lower usable charge coordinate (Ah)
10
Upper usable charge coordinate (Ah)
40
Usable integrated energy (Wh)
108.881818
Usable charge (Ah)
30
Mean voltage in usable window (V)
3.629394
Calculation method

Calculation method

Usable integrated energy (Wh)

Integrate piecewise-linear terminal-voltage-versus-Ah curve over selected usable charge window; result is Wh, not voltage×percent shortcut.

Usable charge (Ah)

Integrate piecewise-linear terminal-voltage-versus-Ah curve over selected usable charge window; result is Wh, not voltage×percent shortcut.

Mean voltage in usable window (V)

Integrate piecewise-linear terminal-voltage-versus-Ah curve over selected usable charge window; result is Wh, not voltage×percent shortcut.

Symbols and units
a
Charge coordinates along voltage curve (Ah)
b
Terminal voltages at coordinates (V)
c
Lower usable charge coordinate (Ah)
d
Upper usable charge coordinate (Ah)

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; Integrate piecewise-linear terminal-voltage-versus-Ah curve over selected usable charge window; result is Wh, not voltage×percent shortcut. 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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