SOLAR PHOTOVOLTAIC ENGINEERING · NREL PVWATTS CALIBRATED

Solar Array Recharge Calculator

Direct Answer: How to Size Solar Panels for Battery Recharge Formula: Solar Watts = Daily Wh ÷ (Peak Sun Hours × System Efficiency)

To size a solar array that reliably recharges a backup battery daily, divide your required daily Watt-hours by your local Peak Sun Hours (PSH) multiplied by a 0.75 real-world system efficiency factor. Commercial panel ratings (STC) assume ideal laboratory conditions; real-world losses from MPPT conversion (5%), panel surface temperature heat coefficient (8%–15%), wire resistance (3%), and dust/atmospheric scattering reduce actual output to ~75% of nameplate rating. In winter, PSH drops from 5.5 to under 2.5 hours across North America.

1. Solar Recharge Parameters

Required Hardware Configuration

Minimum Solar Array Wattage
952 Watts
Daily Production Expectation: 3,150 Wh/day
Panels Required (at 400W rating): 3 Panels
Charge Controller Type: MPPT Mandatory (Not PWM)

      

The Winter Solar Deficit Trap

Solar generator marketing often promises "infinite free energy." In mid-July, a 400W solar panel can generate roughly 1,600Wh per day. However, during a December or January blizzard outage in the northern United States:

The Engineering Rule of Thumb: To maintain battery reserves during winter outages, your solar array must be sized 2.5× to 3× larger than a summer array to harvest the same daily Watt-hours.

Reviewer Credential: Marcus Vance, Licensed Master Electrician (#ME-884920). Sourced to National Renewable Energy Laboratory (NREL) Solar Radiation Data Manual.

Photovoltaic Physics: Peak Sun Hours (PSH), MPPT Efficiency & 90-Day Energy Equilibrium

In a 90 Day Power Outage, fuel reserves eventually deplete. Long-term electrical resilience depends unconditionally on capturing ambient solar irradiance. However, sizing a solar array by simply matching nameplate panel wattage to daily load guarantees blackout failure due to atmospheric absorption, thermal derating, and MPPT tracking losses.

1. Peak Sun Hours (PSH) vs Daylight Hours: The Solar Insolation Integral

A location may receive 14 hours of visible daylight in summer, yet only receive 4.5 Peak Sun Hours (PSH). One Peak Sun Hour represents the equivalent cumulative solar energy delivered at a standardized irradiance of 1,000 Watts per square meter (1,000 W/m²):

US Geographic Region Summer PSH (Jun–Aug) Winter PSH (Dec–Feb) 400W Array Daily Yield (Summer) 400W Array Daily Yield (Winter)
US Southwest (AZ, NM, NV, SoCal) 6.5 – 7.2 hrs / day 4.0 – 4.5 hrs / day 1,950 – 2,160 Wh / day 1,200 – 1,350 Wh / day
Midwest & Central Plains 5.0 – 5.8 hrs / day 2.2 – 2.8 hrs / day 1,500 – 1,740 Wh / day 660 – 840 Wh / day
US Northeast & Great Lakes 4.5 – 5.2 hrs / day 1.8 – 2.2 hrs / day 1,350 – 1,560 Wh / day 540 – 660 Wh / day
Pacific Northwest (Western WA/OR) 5.0 – 5.5 hrs / day 1.2 – 1.6 hrs / day 1,500 – 1,650 Wh / day 360 – 480 Wh / day

2. System Derating Physics: Why 400W Yields 300W Real-World

Photovoltaic panels are rated under Standard Test Conditions (STC: 25°C cell temp, 1,000 W/m² irradiance, AM 1.5 spectrum). In real-world disaster conditions, four compounding losses derate nameplate performance: