Battery bank sizing
How much battery capacity (Ah at your system voltage) you need to ride through cloudy days without the lights going out.
What you're sizing for
Off-grid battery banks have two jobs:
- Carry the system through nighttime (every day)
- Carry the system through bad weather (clouds, storms, snow)
The first is automatic, it's just one day's load. The second is "days of autonomy", how many no-sun days the bank can absorb before you have to start a generator or sit in the dark. Most off-gridders pick 2-3 days. Higher = much more battery cost.
The math
required_Ah = (daily_load_Wh × autonomy_days) / (system_voltage × depth_of_discharge × temperature_derate)
System voltage matters a lot. At 12V, a 2400 Wh/day system needs 600+ Ah of batteries which is a wall of lead-acid. At 48V the same system needs 150 Ah, far cheaper and easier to wire. Higher voltage = thinner wires, smaller losses, more battery options. Most modern off-grid builds run 48V unless they're tiny.
Depth of discharge is how deep you can pull the battery before it gets damaged. Lead-acid: 50%. AGM: 50-60%. LiFePO4: 80-90%. Going deeper kills cycle life. The calc divides by DoD because you size for usable capacity, not nameplate.
Temperature derate is the gut-punch nobody warns you about. Lead-acid loses ~25% capacity at 32°F (0°C). LiFePO4 won't charge below 32°F at all without internal heating. If your batteries live in an unheated garage or shed, derate hard or insulate them.
Lead-acid is dying
LiFePO4 (lithium iron phosphate) has gotten cheap enough that the old "lead is cheaper for off-grid" argument doesn't hold anymore. LiFePO4 lasts 3-5x as many cycles, handles 80-90% DoD instead of 50%, weighs a third as much, and the price per usable kWh is now competitive with new lead-acid. Recommend LiFePO4 unless you've already got lead.
What this calc doesn't cover
- Charge controller sizing (depends on panel array and battery voltage)
- BMS / battery management for lithium (always required)
- Series/parallel wiring layout for your specific battery model
- Grounding, fusing, and safety (consult an electrician for permanent installs)