The average wind speed in a proposed wind farm with a horizontal axis wind turbine (HEWT) is 16.2 m/s. The power coefficient of each wind turbine is estimated at 0.462, and the combined efficiency of the gearbox and generator is 86.2%. When the wind velocity at a speed of 16.2 m/s, calculate the required diameter of the wind turbine (impeller or rotor) for each turbine, as it should produce 2.62 MW of electrical power from each turbine. Find the mass flow rate of the air passing over the wind turbine. Take the density of air 1.162 kg/m3. Since 30 turbines installed in the wind farm and a house in the area have an average electrical power consumption of about 1.62 kW, Calculate how many houses of the power requirement. that can be met? For calculation, take into account an additional efficiency of 96.2% for power transmission losses.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The average wind speed in a proposed wind farm with a horizontal axis wind turbine (HEWT) is 16.2 m/s. The power coefficient of each wind turbine is estimated at 0.462, and the combined efficiency of the gearbox and generator is 86.2%. When the wind velocity at a speed of 16.2 m/s, calculate the required diameter of the wind turbine (impeller or rotor) for each turbine, as it should produce 2.62 MW of electrical power from each turbine.

Find the mass flow rate of the air passing over the wind turbine. Take the density of air 1.162 kg/m3. Since 30 turbines installed in the wind farm and a house in the area have an average electrical power consumption of about 1.62 kW, Calculate how many houses of the power requirement. that can be met? For calculation, take into account an additional efficiency of 96.2% for power transmission losses.

Solve the problem by making the necessary assumptions and drawing the schematic figure.

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