Free Wind Turbine Power Calculator
Estimate the power output of a wind turbine from wind speed, rotor diameter, and efficiency.
Turbine Power Output
630.5 kW
Turbine Power Output vs Wind Speed
Wind Turbine Power
Wind power depends on the cube of wind speed and the swept area of the rotor.
Formula
P_available = 0.5 rho A V^3 (total wind power)
P_output = 0.5 rho A V^3 Cp (extracted power)
where rho is air density, A is the swept area (pi D^2/4), V is wind speed, and Cp is the power coefficient. The Betz limit states maximum Cp = 16/27 = 59.3%. Practical turbines achieve 35-45%.
Example Calculation
An 80 m rotor diameter turbine in 8 m/s wind, Cp = 0.40.
- 01Swept area = pi x 40^2 = 5,027 m^2
- 02Available power = 0.5 x 1.225 x 5027 x 8^3 = 0.5 x 1.225 x 5027 x 512
- 03Available = 1,576,461 W = 1,576 kW
- 04Output = 1,576 x 0.40 = 630.6 kW
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