Calculadora de Turbina Eólica
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
P = 0,5 × ρ × π×r² × v³ × Cp; ρ = 1,225 kg/m³; limite Betz Cp = 0,593
About this calculator
This calculator estimates the electrical power generated by a wind turbine, based on the Betz equation. The calculation considers air density (ρ = 1.225 kg/m³), blade radius, wind speed, and power coefficient (Cp), which represents turbine efficiency. The theoretical maximum Cp is 0.593 (Betz limit), but practical values range from 0.35 to 0.50 for commercial turbines.
To use, enter blade radius (meters), wind speed (m/s), and desired Cp. The formula applied is P = 0.5 × ρ × π × r² × v³ × Cp. The result is power in watts. Remember that actual power may be lower due to mechanical, electrical losses, and environmental conditions.
This tool is useful for designers, students, and renewable energy enthusiasts wanting an initial estimate of a wind turbine's generating capacity. It does not replace detailed feasibility studies, which require site-specific data such as turbulence and seasonal air density.
Cautions: Cp must be between 0 and 0.593. Values above the Betz limit are physically impossible. Also, wind speed should be measured at hub height, and radius should be the actual blade length. Air density varies with altitude and temperature, but the default value is suitable for sea-level conditions.
Frequently asked questions
What does the Betz limit mean?
The Betz limit is the theoretical maximum efficiency a wind turbine can achieve, equal to 59.3%. No turbine can extract more than that fraction of the wind's kinetic energy.
What Cp value should I use?
For modern turbines, use Cp between 0.35 and 0.50. Higher values are rare, and never above 0.593. Check the manufacturer for a more precise value.
Does the calculator consider altitude?
Not directly. The default air density is for sea level. At higher altitudes, density is lower, reducing power. You can manually adjust density if you have the local value.
Can I use this calculator for vertical-axis turbines?
Yes, as long as you enter an equivalent radius and an appropriate Cp for that turbine type. The formula is the same, but efficiency may differ.