Energy Storage & Batteries

Off-Grid Solar Battery Sizing & Autonomy Days (Holdover)

Core Question: How do you size a solar battery bank to maintain continuous power through 3 to 5 consecutive sunless or stormy days?

Governing Physics Formula / Design Rule
Battery Capacity (Ah) = (Daily_Wh_Demand * Holdover_Days) / (System_Voltage * Target_DOD) * 1.05

Executive Technical Summary

Autonomy days (holdover) define how long a standalone solar system can run exclusively on stored electrochemical energy without any solar input. Sizing requires combining daily load watt-hours with Peukert effect and temperature derating buffers.

Detailed First-Principles Explanation

For a remote dwelling using 2,000 Wh daily on a 24V bus with 4 days of required winter holdover, total stored energy needed is 8,000 Wh. Divided by 24V equals 333 Ah. If utilizing lead-carbon batteries limited to 50% max depth-of-discharge, the bank must be sized to at least 666 Ah (333 / 0.50). For LiFePO4 operating at 80% DOD, 416 Ah is sufficient.

Critical Field Pitfall & Safety Warning

Assuming a sunny 100 Ah battery delivers 100 Ah at high current; discharging a lead-acid battery in 2 hours instead of 20 hours reduces usable capacity by 25% due to the Peukert effect.

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