Environmental Science
Intermediate

Solar Panel Output

Energy output of a photovoltaic array.

Formula

P=A×r×H×PRP = A \times r \times H \times PR

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Variables

AArea
rEfficiency
HSolar irradiance
PRPerformance ratio

Example

Depends on sunlight, area, and efficiency

How it works

This formula estimates the electrical power a photovoltaic array can produce from the sunlight reaching it. It works by taking the collector area, multiplying by the fraction of sunlight converted to electricity, then scaling by the available solar irradiance and a performance ratio that accounts for real-world losses such as wiring, inverter inefficiency, heat, dirt, and shading. In other words, it combines the panel's physical size with how well it converts incoming solar energy into usable output.

When to use it

Use this when estimating the output of a solar panel system from its size, efficiency, and local sunlight conditions. It is useful for comparing system designs, checking whether an installation can meet an energy demand, or doing quick feasibility calculations in environmental science and renewable energy studies.

Worked example, step by step

A solar array has an area of 18 m², an efficiency of 0.20, solar irradiance of 850 W/m², and a performance ratio of 0.78. P = A × r × H × PR P = 18 × 0.20 × 850 × 0.78 P = 3.6 × 850 × 0.78 P = 3060 × 0.78 P = 2386.8 W Final answer: the array produces about 2.39 kW of power.

Common mistakes to avoid

  • Using panel area in square feet instead of square metres without converting units
  • Treating efficiency as a whole number like 20 instead of a decimal like 0.20
  • Forgetting that performance ratio reduces the ideal output to account for real-world system losses

Did You Know?

Typical performance ratios are around 0.75-0.85.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026