Estimate the battery capacity needed to cover your daily energy use for a chosen number of autonomy days, from the depth of discharge and efficiency you provide.
Your numbers
How many days with no charging the bank should cover
From your battery's datasheet — there is no default.
From your inverter's datasheet — there is no default.
Result
Required battery capacity
92.59 Ah
Multiply daily energy use by the number of days you want the battery to cover with no recharging — that's the usable energy you need. Since you can't discharge a battery all the way, and some energy is lost in conversion, divide by depth of discharge and efficiency to get the nominal (nameplate) capacity you actually need to buy. Divide by system voltage to convert that to amp-hours.
required usable Wh = daily energy Wh × days of autonomy
required nominal Wh = required usable Wh / (DoD / 100) / (efficiency / 100)
required Ah = required nominal Wh / system voltage
A home using 2,000 Wh/day, wanting 2 days of autonomy, on a 48 V system with 60% usable depth of discharge and 90% round-trip/inverter efficiency:
Depth of discharge and efficiency vary by chemistry, but FigureDesk doesn't have a sourced, citable default for each one yet — rather than show a number that might be wrong for your specific battery, this calculator asks for your battery's actual usable DoD directly. The sizing math is identical for every chemistry once you know that number.
It depends on your climate and how critical the load is. Off-grid systems in cloudy climates often plan for 2-3 days; grid-tied backup systems covering short outages might use 1 day or less. This is a design choice, not a calculated value.
Usable storage is the energy you actually need available. Nominal (nameplate) storage is the battery capacity you need to buy — larger, because you can't discharge a battery to 0% and some energy is lost in conversion.
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FigureDesk results are advisory and do not replace a licensed electrician, a qualified engineer, or the applicable local electrical code. Verify any electrical work against your local code and with a qualified professional before relying on it.