Question #248594

A horizontal axis wind turbine has a rotor diameter of 76 m and reaches its full load output at the generator terminals of 2 MW at a wind speed of 12 m/s. The overall efficiency of the gearbox and generator is 94 %. Assume the density of air is 1.2 kg/m3 and calculate the power coefficient (Cp) of the aerodynamic rotor [6]


1
Expert's answer
2021-10-10T09:32:03-0400

Power produced by wind turbine,P=12ρAv3Cpη\frac{1}{2}\rho Av^{3}C_p\eta

P=2*106 W

v=12m/s

η\eta =0.94

ρ\rho =1.2kg/m3

r=762=38m\frac{76}{2}=38m

2106=12(12)(π382)123Cp0.942*10^{6}=\frac{1}{2}(12)(π*38^{2})*12^{3}C_p*0.94

Cp=0.452C_p=0.452


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