ClueLuma

Battery support duration calculator

Constant-load duration is usable delivered energy divided by the requested discharge power.

t=Enom×DoD×η100×100×Pt = \frac{E_{\text{nom}} \times \mathrm{DoD} \times \eta}{100 \times 100 \times P}

Calculator

Enter the values you know and leave one box empty. Calculate finds the empty one, the result or any input.

kWh
%
%
kW
h

Worked example

Given

  • EnomE_{\text{nom}} = 600 kWh
  • DoD\mathrm{DoD} = 75 %
  • η\eta = 92 %
  • PP = 150 kW
t=600×75×92100×100×150=2.76t = \frac{600 \times 75 \times 92}{100 \times 100 \times 150} = 2.76

Symbols and units

SymbolMeaningUnit
ttconstant-load support timeh
EnomE_{\text{nom}}nameplate DC energykWh
DoD\mathrm{DoD}permitted depth of discharge%
η\etadischarge conversion efficiency%
PPconstant AC discharge powerkW

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Results are estimates for study and screening. Check the inputs, units and assumptions before you use them for design, billing or contract decisions.