Solar + Battery System Sizing Calculator: Array, Storage & Inverter
Estimate planning sizes for solar array wattage, battery-bank capacity, and inverter continuous/surge ratings from daily consumption, peak sun hours, autonomy, and explicit derating assumptions.
Solar Array (W) = Daily Wh ÷ [Peak Sun Hours × System Efficiency × Derate Factor] Planning estimate. Verify equipment limits and site-specific requirements before final design. Note — Inverter surge rating is an estimated planning allowance. Always verify equipment nameplate startup current (LRA) and inverter surge-duration ratings.
Default generation model: 80% electrical/system planning factor × 80% PV/environment factor = 64% combined. These are conservative planning assumptions, not measured efficiencies for a specific installation.
Start with the estimate, then compare it with actual equipment specifications, environmental conditions and applicable electrical requirements.
Off-Grid Solar Dimensioning Methodology
Sizing an autonomous off-grid electrical system requires balancing three independent sub-systems: Generation (Photovoltaics), Energy Storage (Battery Bank), and Power Conversion (Inverter / Charger).
1. Battery Bank Sizing (Storage & Autonomy)
Storage capacity must buffer your daily consumption across consecutive days of poor weather without sunshine:
Usable Battery Wh = Daily Consumption (Wh) × Days of Autonomy
Nominal Battery Wh = Usable Wh ÷ Allowed Depth of Discharge (e.g. 0.80)
Battery Bank Capacity (Ah) = Nominal Wh ÷ System DC Voltage (e.g. 48V) 2. Photovoltaic Array Dimensioning
A solar array's nameplate rating is measured under Standard Test Conditions (STC: 1,000 W/m² irradiance and 25°C cell temperature). Real outdoor output varies with irradiance, module temperature, orientation, shading, soiling, wiring, mismatch, controller behavior, and battery charging conditions. The default model deliberately uses two conservative planning factors that multiply to 64%:
- Electrical / system planning factor (80%): A conservative allowance for charge-controller, battery-charging, wiring, conversion, and other unmodeled system losses. It is not the mathematical product of the nominal component examples; for example, 98% × 97% × 98% is about 93%, not 80%. The extra margin is intentional.
- PV / environmental planning factor (80%): A generic allowance for real operating temperature, soiling, orientation, mismatch, and other site effects. It is not a substitute for a location-specific irradiance and shading model or a module-specific temperature coefficient.
With the defaults, the calculator uses 0.80 × 0.80 = 0.64. These factors are planning assumptions rather than measured efficiencies for a particular installation.
Worked Engineering Example
Scenario: Sizing a four-season off-grid cabin consuming 4.0 kWh/day (4,000 Wh), with 2 days of autonomy and 4.0 peak sun hours in winter on a 48V LiFePO4 bus:
- Usable Storage: 4,000 Wh × 2 = 8,000 Usable Wh
- Nominal Bank: 8,000 Wh ÷ 0.80 DoD = 10,000 Wh (10 kWh)
- Bank Amp-Hours: 10,000 Wh ÷ 48V = 208 Ah @ 48V (approx. two 48V 100Ah server-rack batteries)
- Required Daily Generation: 4,000 Wh ÷ 0.64 Combined Eff = 6,250 Wh
- Solar Array Size: 6,250 Wh ÷ 4.0 PSH = 1,562.5W → 1,600 Watts (four 400W panels)
What this calculator does not model
- Hour-by-hour or month-by-month irradiance, terrain/horizon shading, snow cover, or detailed array orientation.
- Module-specific temperature coefficients, MPPT clipping/operating-window limits, charge-controller current limits, or equipment-specific efficiency curves.
- Battery aging, temperature-dependent capacity, BMS limits, charge/discharge power limits, or generator contribution.
- Site-specific electrical-code compliance, conductor/OCPD sizing, grounding, disconnects, or equipment listing requirements.