风力涡轮机功率输出计算器
使用风力涡轮机功率输出计算器估算风电机组的实际发电功率。输入风速、叶片直径和效率系数，计算涡轮机输出功率kW，优化风电场规划和选型。
输出功率
2,128.0 kW
Power Output vs Wind Speed
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.
计算示例
A turbine with 80 m rotor diameter operates in 12 m/s wind at 40% efficiency.
- 01Swept area = pi x (80/2)² = pi x 1600 = 5,026.5 m²
- 02Wind power = 0.5 x 1.225 x 5,026.5 x 12³ = 5,316,045 W
- 03Turbine output = 5,316,045 x 0.40 = 2,126,418 W = 2,126.4 kW
- 04That is 2.126 MW of electrical output
常见问题
What is the Betz limit?
The Betz limit (59.3%) is the theoretical maximum fraction of wind energy a turbine can extract. Real turbines typically achieve 35-45% efficiency.
Why does power scale with the cube of wind speed?
Kinetic energy is proportional to velocity squared, but a faster wind also delivers more mass per second. Combined, power scales with V³.
What wind speed do turbines need?
Most turbines have a cut-in speed around 3-4 m/s, reach rated power at 12-15 m/s, and shut down above 25 m/s to prevent damage.