Solar Panel Power Output
P = G × η × A
Quick answer
This calculator solves P = G × η × A for Power Output. With Solar Irradiance 800 W/m², Panel Efficiency 50 %, Panel Area 100 cm², the result is 4 W. It solves in 4 directions, so you can enter the values you have and get the one you need.
Calculator
Formula
Description
The electrical power produced by a solar panel is the product of the incident solar irradiance, the panel conversion efficiency, and the panel area. Standard test conditions (STC) use 1000 W/m² irradiance at 25°C cell temperature with AM1.5 spectrum. Real-world output is typically 75-85% of the STC rating due to temperature derating, soiling, shading, and wiring losses. Panel efficiency ranges from 15-22% for commercial silicon panels, with premium monocrystalline cells reaching 24%.
Variables
- P — Electrical power output (W)
- G — Solar irradiance (W/m²)
- η — Panel conversion efficiency (0-1 or %)
- A — Panel area (m²)
Practical Notes
Panel output decreases about 0.3-0.5% per degree Celsius above 25°C for silicon cells. A 400W panel rated at STC might produce only 320W on a hot summer day. For system design, use location-specific irradiance data (peak sun hours) and apply a system derate factor of 0.75-0.85 to account for all real-world losses.
Symbols and units
| Symbol | Meaning | Default unit | Accepted units |
|---|---|---|---|
| P | Power Output | W | µW, mW, W, kW |
| G | Solar Irradiance | W/m² | W/m² |
| eta | Panel Efficiency | — | —, % |
| A | Panel Area | m² | mm², cm², m² |
Step by step
- 1. What you know: Solar Irradiance 800 W/m², Panel Efficiency 50 %, Panel Area 100 cm²
- 2. The relation: P = G × η × A
- 3. Substitute: G = 800 W/m², eta = 50 %, A = 100 cm²
- 4. Result: Power Output = 4 W
Worked examples
Minimum range
Given: Solar Irradiance 10 W/m², Panel Efficiency 2.5 %, Panel Area 10 mm²
Result: Power Output = 2.5 µW
Low range
Given: Solar Irradiance 100 W/m², Panel Efficiency 25 %, Panel Area 1 cm²
Result: Power Output = 2.5 mW
Typical
Given: Solar Irradiance 800 W/m², Panel Efficiency 50 %, Panel Area 100 cm²
Result: Power Output = 4 W
High range
Given: Solar Irradiance 1000 W/m², Panel Efficiency 0.8, Panel Area 1 m²
Result: Power Output = 0.8 kW
Maximum range
Given: Solar Irradiance 10000 W/m², Panel Efficiency 8, Panel Area 10 m²
Result: Power Output = 800 kW
Solving for each variable
Solve for Power Output
Solar Irradiance 10 W/m², Panel Efficiency 2.5 %, Panel Area 10 mm² → 2.5 µW
Solve for Solar Irradiance
Power Output 10 mW, Panel Efficiency 2.5 %, Panel Area 10 mm² → 40000 W/m²
Solve for Panel Efficiency
Power Output 10 mW, Solar Irradiance 10 W/m², Panel Area 10 mm² → 100
Solve for Panel Area
Power Output 10 mW, Solar Irradiance 10 W/m², Panel Efficiency 2.5 % → 400 cm²
How Power Output changes with Solar Irradiance
| Solar Irradiance (input) | Power Output (result) |
|---|---|
| 80 W/m² | 0.4 W |
| 200 W/m² | 1 W |
| 400 W/m² | 2 W |
| 600 W/m² | 3 W |
| 800 W/m² | 4 W |
| 1200 W/m² | 6 W |
| 1600 W/m² | 8 W |
| 3200 W/m² | 16 W |
| 5600 W/m² | 28 W |
| 8000 W/m² | 40 W |
The same result in other units
| Unit | Value |
|---|---|
| µW | 4000000 |
| mW | 4000 |
| W | 4 |
| kW | 0.004 |
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<p><a href="https://vbatpower.com/formulas/solar-panel-power/">Solar Panel Power Output</a> Calculator by vbatpower.com</p> Frequently asked questions
How do you calculate Solar Panel Power Output?
Use P = G × η × A. With Solar Irradiance 800 W/m², Panel Efficiency 50 %, Panel Area 100 cm², Power Output works out to 4 W.
What is the formula for Solar Panel Power Output?
The formula is P = G × η × A. The electrical power produced by a solar panel is the product of the incident solar irradiance, the panel conversion efficiency, and the panel area.
How do you find Solar Irradiance when you know the other values?
Rearrange for Solar Irradiance: with Power Output 10 mW, Panel Efficiency 2.5 %, Panel Area 10 mm², Solar Irradiance is 40000 W/m².
How do you find Panel Efficiency when you know the other values?
Rearrange for Panel Efficiency: with Power Output 10 mW, Solar Irradiance 10 W/m², Panel Area 10 mm², Panel Efficiency is 100.
What units does Solar Panel Power Output use?
Power Output is shown in µW, mW, W, kW. Values are held in SI base units internally, so you can mix prefixes without converting by hand.
Related Concepts
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