Solar battery calculator
Bank size is daily consumption times days of autonomy, divided by the usable depth of discharge. Five kilowatt-hours a day with two days of autonomy at 80% usable needs a 12.5 kWh bank — 260 Ah at 48 V.
How to size a battery bank
Days of autonomy is the expensive decision. Each extra day is a linear increase in battery cost, and batteries are usually the largest single line in an off-grid system. Going from two days to five nearly triples the spend, and in a northern winter even five days may not bridge a stubborn anticyclone. Most off-grid systems settle on two or three days of storage plus a generator, because the generator covers the rare deep gap far more cheaply than the batteries that would otherwise be needed.
Questions
Daily use times days of autonomy, divided by usable depth of discharge. Five kWh a day for two days at 80% needs 12.5 kWh.