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A common rule of thumb for sizing batteries to solar power relates nominal panel output in Watts to bank capacity in Ah. It is not gospel. It is not a commandment. It is a quick heuristic to understand how your system is biased.
1:1 == 200W solar + 200Ah battery bank. This generally considered the minimum, though it will likely work out fine in sunny areas with light loads. It may not be enough in the winter when the sun is low and daylight short. Power rationing may be necessary.
Working backwards, successfully fully charging lead-chemisties by solar means only requires about 8.45hrs of Full Sun Equivalent on MPPT, and about 9.7hrs FSE with PWM. There is nowhere in CONUS that has 8.45hrs of FSE even under ideal conditions.
2:1 == 200W solar + 100Ah of battery. This slightly overpaneled configuration brings in extra power for heavier loads or for use in areas without much sun.
Working backwards, successfully fully charging lead-chemisties by solar means only requires about 4.25hrs of Full Sun Equivalent on MPPT, and about 4.85hrs FSE with PWM.
On average, this would work in Little Rock, San Francisco, Phoenix, Birmingham, Atlanta, New Orleans, Albuquerque, Tulsa, Las Vegas, San Antonio, Houston, Salt Lake City, and Casper Wyoming. Winters will require power management.
3:1 == 300W solar + 100Ah of battery. This significantly overpaneled configuration generally yields an excess of power, useful in rain, low winter sun, overcast conditions, etc. 'Dwellers in the Pacific Northwest1) may need a 3:1 ratio to meet basic needs.
1:2 == 100W solar + 200Ah of battery. Also known as overbanking), this configuration can work fine in certain configurations:
Outside the above configurations, underpaneling can contribute to battery murder.
Different battery types have different charging requirements: