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A wind turbine is installed, the speed of the wind is 9.6 m/s, the pressure is 1 atm and the temperature is 15C. The wind

A wind turbine is installed, the speed of the wind is 9.6 m/s, the pressure is 1 atm and the temperature is 15°C. The wind turbine rotor diameter is 118 m.

The density of the air at 15°C is 1.234 kg/m3. The Belts limit is 0.593

  1. Determine the power density of the wind,
  2. Determine the maximum power of the wind-turbine,
  3. Determine the force exerted on the turbine when working at maximum power using alpha=1/3.

F=2*rho*A*(Vinf)2*alpha*(1-alpha)

  1. Determine the maximum power output of a real wind turbine which has a power coefficient equal to 0.45.
  2. Determine the real wind-turbine efficiency
  3. If we suppose that the maximum power had been produced all the month of April, calculate the electrical energy have been supplied in MWh during that month.
  4. For an electric power of 15 GWh per month how many wind turbines would you install of this type.

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