Wind Turbine Power Output Calculator — 公式
## Wind Turbine Power Physics
Wind turbines extract kinetic energy from moving air. The available power depends on the cube of wind speed, which is why small increases in wind speed produce large gains.
### Formula
**P = 0.5 x rho x A x V³ x Cp**
Where rho is air density (kg/m³), A is the rotor swept area (pi x r²), V is wind speed (m/s), and Cp is the power coefficient (efficiency). The Betz limit states that no turbine can capture more than 59.3% of the available wind energy.
Wind turbines extract kinetic energy from moving air. The available power depends on the cube of wind speed, which is why small increases in wind speed produce large gains.
### Formula
**P = 0.5 x rho x A x V³ x Cp**
Where rho is air density (kg/m³), A is the rotor swept area (pi x r²), V is wind speed (m/s), and Cp is the power coefficient (efficiency). The Betz limit states that no turbine can capture more than 59.3% of the available wind energy.
计算示例
A turbine with 80 m rotor diameter operates in 12 m/s wind at 40% efficiency.
- Swept area = pi x (80/2)² = pi x 1600 = 5,026.5 m²
- Wind power = 0.5 x 1.225 x 5,026.5 x 12³ = 5,316,045 W
- Turbine output = 5,316,045 x 0.40 = 2,126,418 W = 2,126.4 kW
- That is 2.126 MW of electrical output