E = P·t

Battery runtime at a defined load

Runtime = usable energy / load power; efficiency and reserve reduce theoretical time.

MINTSI
01

Inputs

Theoretical supply duration at constant load.

Average voltage during discharge.

Rated capacity; usable fraction is represented by efficiency.

Electrical input power including continuous auxiliaries.

Share of nominal energy usable after converter and discharge losses.

02

Result

Select a target and calculate.

Technical principle schematic
U · Qstored energy
Calculation

t = U · Q · η / P

Runtime = usable energy / load power; efficiency and reserve reduce theoretical time.

Understand the inputs
  • Runtime tTheoretical supply duration at constant load.
  • Average battery voltage UAverage voltage during discharge.
  • Capacity QRated capacity; usable fraction is represented by efficiency.
  • Load power PElectrical input power including continuous auxiliaries.
  • Overall efficiency ηShare of nominal energy usable after converter and discharge losses.
Example

48 V · 50 Ah · 0.85 / 480 W ≈ 4.25 h.

Assumptions and limits

Constant load and average voltage; temperature, ageing and discharge curve are excluded.

Sources