Home / Guides / How to Calculate Inverter Battery Backup Time (Formula + Worked Example)

Battery Buddy guide - formulas shown, nothing sold

How do you calculate inverter battery backup time?

Backup time = (Battery Ah x Battery Voltage x Inverter efficiency x Depth of discharge) / Load in watts. For a 150Ah 12V tubular battery at 70% efficiency and 50% depth of discharge running a 156W load, that is (150 x 12 x 0.7 x 0.5) / 156 = 630Wh / 156W = 4.0 hours.

The formula, and what each term is hiding

Backup hours = (Ah x V x efficiency x depth of discharge) / load in watts. Three of those four terms are where people go wrong. Voltage is the system voltage, not the mains voltage. Efficiency is the whole chain — inverter conversion, cable losses and battery age — not the number on the inverter's brochure. Depth of discharge is the fraction you are allowed to use, which for lead-acid tubular is about half.

Load is the fourth trap. Most calculators want one flat wattage. Real homes are not flat: a fridge cycles, a mixer runs in bursts, a pump fills and stops. Battery Buddy asks minutes per hour for each appliance and multiplies by that fraction.

Worked example: the app's own default setup
StepArithmeticResult
Average load2 x 70W fans + 3 x 9W bulbs, all 60 min/hr167W
Nominal energy150Ah x 12V1800Wh
Usable energy150 x 12 x 0.7 x 0.5630Wh
Backup time630Wh / 167W3 hours 46 minutes

Why the brochure number never matches the wall socket

Manufacturers quote nominal capacity at a slow, laboratory discharge rate and at 27 degrees. An inverter pulls far harder than that, which triggers the Peukert effect and returns less energy than the label promises. Add a battery two summers old and a charger that never finishes a cycle during a short grid window, and a 'nominal' 1800Wh routinely behaves like 600-700Wh.

This is exactly why Battery Buddy defaults to 70% efficiency rather than the 85-90% you see quoted elsewhere. A conservative default that matches reality is more useful than an optimistic one that makes you buy the wrong battery.

Do it once with real numbers instead of guessing

Measure your own efficiency factor with a single discharge test, put your actual appliance list in with real minutes-per-hour, and the answer stops being a rule of thumb. Both tools are free, need no account, and produce a shareable URL you can send to your electrician.

Frequently asked questions

What is the formula for inverter battery backup time?

Backup hours = (Battery Ah x Battery voltage x Inverter efficiency x Depth of discharge) / Load in watts. For a 150Ah 12V battery at 70% efficiency and 50% depth of discharge on a 156W load: (150 x 12 x 0.7 x 0.5) / 156 = 630 / 156 = 4.0 hours.

Why do other calculators give a longer time than Battery Buddy?

Most assume 85-90% efficiency and ignore depth of discharge or duty cycle. Battery Buddy defaults to 70% end-to-end efficiency and enforces the 50% lead-acid depth-of-discharge limit, which matches what Indian tubular batteries actually deliver after a year or two of use.

Should I use average load or peak load?

Average load for runtime, peak load for inverter sizing. They answer different questions: average hourly draw tells you how long the battery lasts, while continuous plus start-up surge tells you whether the inverter will trip.

Does battery voltage change the formula?

No, only the numbers. A 24V bank of two 12V batteries in series uses the same equation with V = 24, which is why a higher system voltage carries more power at the same current.

How accurate is this?

As accurate as your inputs. Nameplate wattages and an assumed efficiency give a useful estimate; a measured efficiency factor and real minutes-per-hour figures typically land within about 10% of what you observe.

Battery Buddy is free, needs no sign-up, sells no batteries and shows every formula it uses. It is built by Flocci Technologies, an India-first AI-native software studio behind 30+ apps that share one Flocci identity.