The construction of a wind turbine with an efficiency of 40

The construction of a wind turbine with an efficiency of 40% is planned. It is anticipated that the turbine will produce 1 MW in a wind of 10 m/s. What is the diameter? Select one: 114.3 m 72.7 m 34.5 m 22.7 m

Solution

Given

Efficiency turbine eff = 40%

Power output P = 1 MW

Wind speed V = 10 m/s

Density of air Da = 1.225 kg/m³

Diameter of wind turbine blades D = ?

Power output from windturbine using the formulae is

P_out = 0.5 * (Swept Area) * Air Density * (Velocity)³ * eff

P_out = 0.5 * (pi*D²/4) * 1.225 * (10³) * 0.4

D² = (4*1*10⁶ ) / (0.5 * pi * 1.225 * 1000 * 0.4)

     D = 72.08 m

Diameter of wind turbine is D = 72.08 m

Option :- b