Answer to Question #248594 in Mechanical Engineering for MDS

Question

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]

Answer 1

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

P=2*10⁶ W

v=12m/s

$\eta$ =0.94

$\rho$ =1.2kg/m³

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

$2*10^{6}=\frac{1}{2}(12)(π*38^{2})*12^{3}C_p*0.94$

$C_p=0.452$