Off-Grid Battery Bank Capacity Calculator
Work out how large an off-grid battery bank needs to be from the energy your loads use in a day. Enter the daily load in watt-hours, the days of backup you want with no charging, the system voltage, the usable depth of discharge and the round-trip efficiency. The tool grows the raw storage so the slice you can actually draw still covers the load, and reports the answer in both watt-hours and amp-hours.
How to size a battery bank
- Add up your daily load in watt-hours (watts times hours for each device) and enter it in Daily load (Wh).
- Set Days of autonomy for how long the bank must run with no charging.
- Enter your System voltage (V), usually 12, 24 or 48.
- Set Depth of discharge (0-1) for the usable fraction and Efficiency (0-1) for round-trip losses.
- Read the required bank capacity in Ah in the headline card, with the watt-hour figure below.
- Use Copy result to save the sizing summary.
Examples
Default: 4000 Wh per day, 1 day, 12 V bank
4000 Wh/day, 1 day, 12 V, 0.5 depth of discharge, 0.85 efficiency
9,411.76 Wh, or 784.31 Ah at 12 V
Same load on a 48 V lithium bank
4000 Wh/day, 1 day, 48 V, 0.8 depth of discharge, 0.95 efficiency
5,263.16 Wh, or 109.65 Ah at 48 V
Two days of autonomy
4000 Wh/day, 2 days, 12 V, 0.5 depth of discharge, 0.85 efficiency
18,823.53 Wh, or 1,568.63 Ah at 12 V
Frequently asked questions
What is the exact formula used?
Required watt-hours equal daily load times days of autonomy, divided by depth of discharge times efficiency. Required amp-hours are that figure divided by system voltage. So 4000 Wh over 1 day at 0.5 depth and 0.85 efficiency is 4000 / 0.425, which is 9411.76 Wh, then divided by 12 V gives 784.31 Ah.
Why divide by depth of discharge and efficiency?
You cannot safely use every watt-hour stored, and some energy is lost charging and inverting. Dividing by the usable depth of discharge and the round-trip efficiency inflates the raw bank so the portion you actually draw still meets the daily load.
What depth of discharge should I use?
Lead-acid banks last far longer when cycled to about 0.5, meaning half the rated capacity. Lithium iron phosphate can run to 0.8 or higher. Use the figure your battery maker recommends, and note the field accepts values above 0 up to 1.
How do days of autonomy change the size?
Days of autonomy multiply the requirement directly. Two days of backup needs twice the bank of one day for the same daily load, as the second example shows at 18,823.53 Wh versus 9,411.76 Wh.
Should I size at 12, 24 or 48 volts?
The stored watt-hours stay the same at any voltage. A higher system voltage simply means fewer amp-hours and thinner cable for the same energy, which is why the 48 V example needs only about 110 Ah while the 12 V one needs 784 Ah.
What efficiency value is realistic?
The default 0.85 covers typical inverter and charge losses for a mixed AC and DC system. A well-matched lithium and high-efficiency inverter setup can reach 0.90 to 0.95. Lower it if you run older equipment or long cable runs.
Does this include the solar panels needed to recharge?
No. This sizes the storage only. Use a separate solar panel calculator to size the array and charge controller that refill the bank each day, then check the two results work together.
What if I enter a value out of range?
Daily load, days and voltage must be greater than 0, and depth of discharge and efficiency must be above 0 and at most 1. Anything outside those bounds shows a short hint instead of a result.
Is my input sent anywhere?
No. The calculation runs locally in your browser using plain arithmetic. None of your load figures leave your device, so the tool works offline once loaded.
Learn more
- From watt-hours to amp-hours for battery banks
How daily load, depth of discharge, efficiency and voltage combine to set battery bank size, and why the amp-hour number changes with voltage.
Related tools
Solar Panel Calculator
Estimate how much electricity a solar array makes. Enter system size or panel specs, sun hours and losses for daily, monthly and yearly kWh.
UPS Runtime Calculator
Estimate UPS battery runtime under load. Enter battery watt-hours or volts and amp-hours plus the load in watts to see minutes and hours.
Watt Hour Calculator
Convert volts and amp-hours, or watts and hours, into watt-hours. See energy in Wh, kWh and mAh for batteries and devices.
Appliance Energy Calculator
Find what an appliance costs to run from its wattage. Enter watts, hours per day and your rate to see kWh and cost per day, month and year.
Aquarium Volume Calculator
Calculate your fish tank volume in gallons and liters from inside dimensions in inches. Set a fill level to estimate the actual water it holds.
Baseboard Calculator
Estimate linear feet and pieces of baseboard or trim for a room. Enter length and width, subtract doorways, set piece length and add waste.