Solar Irradiance Calculator Formula

Understand the math behind the solar irradiance calculator. Each variable explained with a worked example.

Formulas Used

Daily Irradiance

daily_kwh_m2 = peak_sun_hours * orientation_factor

Daily Energy on Panel

daily_kwh_total = peak_sun_hours * orientation_factor * panel_area_m2

Annual Energy on Panel

annual_kwh_total = peak_sun_hours * orientation_factor * panel_area_m2 * 365

Variables

VariableDescriptionDefault
peak_sun_hoursPeak Sun Hours per Day(hours)5
panel_area_m2Panel Area()20
orientation_factorOrientation Factor (0-1)0.9

How It Works

Solar Irradiance and Energy Collection

Solar irradiance is the power of sunlight per unit area. Peak sun hours convert variable sunlight into an equivalent number of hours at 1,000 W/m².

Formula

Daily Energy (kWh/m²) = Peak Sun Hours x Orientation Factor

Total Daily Energy = Daily Energy x Panel Area

Peak sun hours vary by location: 3-4 in northern climates, 5-6 in temperate zones, and 6-8 in sunny regions.

Worked Example

A 20 m² array in a location with 5 peak sun hours and 90% orientation factor.

peak_sun_hours = 5panel_area_m2 = 20orientation_factor = 0.9
  1. 01Effective irradiance = 5 x 0.9 = 4.5 kWh/m²/day
  2. 02Daily energy = 4.5 x 20 = 90 kWh/day
  3. 03Annual energy = 90 x 365 = 32,850 kWh/year

Frequently Asked Questions

What are peak sun hours?

Peak sun hours represent the equivalent hours per day of sunlight at 1,000 W/m² intensity. Five peak sun hours means the total daily energy equals five hours of full noon sun.

How does panel angle affect irradiance?

Tilting panels to match your latitude maximizes annual energy capture. The orientation factor accounts for sub-optimal tilt or azimuth angles.

Where can I find peak sun hours for my area?

The NREL PVWatts tool and Global Solar Atlas provide location-specific solar resource data including peak sun hours.

Ready to run the numbers?

Open Solar Irradiance Calculator