Calculadora de Potencia de Aerogenerador — Fórmula
## 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%.
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%.
Ejemplo Resuelto
An 80 m rotor diameter turbine in 8 m/s wind, Cp = 0.40.
- Swept area = pi x 40^2 = 5,027 m^2
- Available power = 0.5 x 1.225 x 5027 x 8^3 = 0.5 x 1.225 x 5027 x 512
- Available = 1,576,461 W = 1,576 kW
- Output = 1,576 x 0.40 = 630.6 kW