Battery Backup Runtime Calculator

Runtime is the battery’s usable energy divided by the power the load draws. Usable energy is the rated capacity times the depth of discharge you allow, less inverter losses.

Also called: UPS runtime calculator · Inverter backup time calculator · Battery life calculator

  • Last updated
  • Formula tested against reference values

Your numbers

Capacity in

Nominal voltage, e.g. 12, 24 or 48 V. Used to convert Ah to Wh and for battery current.

Example value: lead-acid is often limited to about 50%; lithium batteries usually allow more. Check the maker’s figure.

From the inverter datasheet; use 100 for a DC load with no inverter.

Total watts of everything running on backup.

Result

Backup time
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Calculating…

Backup time in hours
—
Rated energy
—
Usable energy delivered
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Current drawn from the battery
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How to use this calculator

  1. Enter or choose battery capacity.
  2. Enter or choose capacity in.
  3. Enter or choose battery bank voltage.
  4. Enter or choose usable depth of discharge.
  5. Enter or choose inverter efficiency.
  6. The backup time updates as you type. Use Copy result or Share to keep it.

Method

Wh = Ah × V (or kWh × 1000); Runtime (h) = Wh × DoD × Inverter efficiency ÷ Load (W); Battery current = Load ÷ Efficiency ÷ V

Ah
rated amp-hour capacity
V
battery bank voltage
DoD
share of capacity you allow to be used
Load
power drawn by the connected devices

Worked example

  1. Rated energy = 200 Ah × 12 V = 2,400 Wh.
  2. Usable = 2,400 × 0.50 × 0.90 = 1,080 Wh.
  3. Runtime = 1,080 ÷ 300 W = 3.6 h = 3 h 36 min.

A 12 V 200 Ah battery used to 50% through a 90%-efficient inverter runs a 300 W load for about 3 hours 36 minutes.

What the result means

Treat the result as a best case. At high currents, in the cold, or with an older battery, real runtime is shorter, so allow a margin for anything critical.

Assumptions and limits

  • The load is constant for the whole runtime.
  • The battery delivers its rated capacity at this discharge rate.
  • Ignores the Peukert effect (lead-acid capacity drops at high currents), temperature and battery age.
  • Inverter standby consumption is not included.

Questions

Why not use 100% of the battery?

Deep discharges shorten battery life, especially for lead-acid. Most systems cut off before the battery is fully empty.

How do I find my load in watts?

Add up the rated watts of the devices on backup, or read the output power from the inverter display.