Battery Backup Calculator

ELECTRICAL & LIGHTING

Estimate battery runtime hours for a backup or off-grid load.

Battery Runtime & Sizing Calculator
Runtime, usable capacity, depth-of-discharge and inverter losses — or size the battery bank to run your gear for the hours you need.
Application
Battery type (sets depth of discharge)
Battery bank
Inverter efficiency
Appliance preset (sets load)
Estimated runtime
Runtime gauge
hours of runtime
System

Appliance runtime (this bank)

Energy breakdown

Runtime
hours
At the given load.

Usage Tip

Do not discharge lead-acid batteries below 50 percent; lithium tolerates deeper cycles, so size capacity to the chemistry.

THE MATH
watt-hours = amp-hours × voltage
usable Wh = Wh × efficiency ÷ 100
runtime = usable Wh ÷ load
A battery stores watt-hours equal to its amp-hours times its voltage. Real-world losses cut the usable amount, and runtime is the usable energy divided by the load.
Enter the load in watts, the battery capacity in amp-hours, the battery voltage, and a system efficiency (about 85 percent for an inverter setup).
The result is approximate runtime.

How long will my battery last — and what size do I need?

Battery runtime comes down to usable energy divided by the load. A battery stores energy in watt-hours: amp-hours times voltage. But you never get all of it — you only safely use part of the capacity (the depth of discharge), and an inverter loses some converting DC to AC. So the real runtime is the battery watt-hours, times the depth of discharge, times the inverter efficiency, divided by the load in watts. This calculator runs it both ways: tell it your battery and it gives the runtime, or tell it the runtime you need and it sizes the battery bank.

Battery runtime chart

Approximate runtime from a single 12V 100Ah battery (about 1,000 usable watt-hours after depth of discharge and inverter losses):

LoadRuntime (100Ah battery)
50 Wabout 20 hrs
100 Wabout 10 hrs
200 Wabout 5 hrs
500 Wabout 2 hrs

Watts vs amps

These trip everyone up. Watts measure power; amps measure current; volts tie them together: watts equal volts times amps. Batteries are rated in amp-hours at a voltage, while appliances are rated in watts, so you convert through watt-hours. A 100Ah battery at 12V holds 1,200 watt-hours. A 100W load draws about 8.3 amps at 12V (100 divided by 12). Always compare on watt-hours, not amp-hours, unless the voltages match.

Depth of discharge by battery type

How deeply you can drain a battery without harming it varies hugely by chemistry, and it directly changes usable capacity:

Battery typeRecommended depth of discharge
Lead acid (flooded)50%
AGM50 to 60%
Gel50 to 60%
Lithium ion80 to 85%
LiFePO480 to 90%

This is why a 100Ah lithium battery often outlasts a 100Ah lead-acid one: you can use far more of it.

Battery bank examples

Wiring batteries changes voltage and capacity, but the total energy is always the battery count times each battery's watt-hours:

BankResult
2 x 100Ah, 12V, parallel12V, 200Ah = 2,400 Wh
2 x 100Ah, 12V, series24V, 100Ah = 2,400 Wh
4 x 100Ah, 12V, series-parallel24V, 200Ah = 4,800 Wh

Series adds voltage; parallel adds capacity; series-parallel does both.

Inverter efficiency

If you run AC appliances, the inverter that converts the battery's DC to household AC wastes 5 to 20 percent of the energy as heat. A good pure sine inverter runs around 90 to 95 percent efficient; cheaper units nearer 80. That loss is real runtime, so this calculator includes it. DC loads (12V lights, fans) skip the inverter and avoid the loss.

Battery and solar

Many battery questions are really solar questions. In an off-grid or backup solar setup, the battery bank stores what the panels make during the day to run loads at night. Size the bank for the runtime you need between charges (often a full day or two of autonomy), then size the panels to refill that bank during available sun hours. Use this calculator for the battery side, then match panels and a charge controller to keep it topped up.

Frequently asked questions

How do I calculate battery runtime?

Battery watt-hours times depth of discharge times inverter efficiency, divided by the load in watts. A 1,200 Wh battery at 50% DoD and 90% inverter running a 100W load lasts about 5.4 hours.

What battery do I need to run something for 8 hours?

Multiply the load by 8 to get watt-hours, divide by the inverter efficiency and the depth of discharge, then size the bank to that. The sizing mode above does this for you.

How many watt-hours in a 100Ah battery?

1,200 Wh at 12V (100 times 12). Usable is less after depth of discharge.

Why does my battery die faster than the math says?

Depth of discharge and inverter losses, plus cold temperatures and age. Lead-acid also loses capacity at high discharge rates.

Series or parallel?

Series raises voltage (same Ah); parallel raises capacity (same voltage). Total energy is the same either way.

Can I run AC appliances off a battery?

Yes, with an inverter, but factor in its efficiency. DC appliances skip the inverter and last longer per watt-hour.

Related calculators:
LED Driver Calculator
Coming soon: Solar Battery, Generator Sizing, Power Consumption and Electrical Load calculators

Estimates are for planning. Real runtime depends on battery age, temperature, discharge rate, and inverter quality; lead-acid in particular delivers less at high loads (Peukert effect). Size with a margin and never routinely discharge below the recommended depth for your battery type.

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The calculators and tools on Formula Factory are provided for general guidance and informational purposes only. Results are estimates based on standard formulas and the values you enter — they do not constitute professional engineering, electrical, or architectural advice. Always verify calculations with a qualified professional before making decisions for any safety-critical, code-compliance, or commercial application. Formula Factory makes no representations or warranties as to the accuracy or completeness of any result, and accepts no liability for errors, omissions, or any outcomes arising from reliance on this information.