Solar Panel Output Calculator Formula

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

Formulas Used

Total Array Size

array_size = total_watts / 1000

Estimated Daily Output

daily_kwh = total_watts * sun_hours * eta / 1000

Estimated Annual Output

annual_kwh = total_watts * sun_hours * eta / 1000 * 365

Variables

VariableDescriptionDefault
panel_wattsPanel Rating(W)400
num_panelsNumber of Panels10
sun_hoursPeak Sun Hours per Day(hours)5
system_efficiencySystem Efficiency (losses)(%)80
total_wattsDerived value= panel_watts * num_panelscalculated
etaDerived value= system_efficiency / 100calculated

How It Works

Solar Panel Energy Estimation

Daily energy output depends on panel capacity, sunlight availability, and system losses.

Formula

Daily kWh = Array size (kW) x Peak sun hours x System efficiency

Peak sun hours represent the equivalent hours of full-intensity (1000 W/m^2) sunlight per day, typically 3-6 hours depending on location and season. System efficiency accounts for inverter losses, wiring, temperature derating, dust, and shading.

Worked Example

10 panels of 400 W each, 5 peak sun hours, 80% system efficiency.

panel_watts = 400num_panels = 10sun_hours = 5system_efficiency = 80
  1. 01Array size = 400 x 10 = 4000 W = 4.0 kWp
  2. 02Daily output = 4.0 x 5 x 0.80 = 16.0 kWh/day
  3. 03Annual output = 16.0 x 365 = 5,840 kWh/year

Frequently Asked Questions

What are peak sun hours in my area?

Peak sun hours vary by location and season. Examples: Phoenix AZ: 6.5, London UK: 2.5, Sydney AU: 5.0, Dubai: 6.0, Berlin: 2.7. Solar resource databases like PVGIS or NREL TMY provide precise local data.

Why is system efficiency only 80%?

The 20% loss includes: inverter efficiency (3-5% loss), cable losses (1-3%), temperature derating (5-15% in hot climates), dust/soiling (2-5%), panel degradation, and mismatch between panels.

How do I size panels for battery charging?

Divide the daily battery energy needed (kWh) by (sun hours x system efficiency) to get the required array size in kW. Add margin for cloudy days and seasonal variation.

Ready to run the numbers?

Open Solar Panel Output Calculator