Question 4 In a wind farm the wind turbines have a rotor diameter of 48 m...
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Question 4 In a wind farm the wind turbines have a rotor diameter of 48 m and a tower height of 50 m. Tower spacing along the rows and the spacing between rows are 4 and 7 times the rotor diameter respectively. The wind speed averages 5 m/s at 10 m height. Assume standard air density, Rayleigh statistics and class 1 ground surface roughness. a) Calculate the average specific wind power. b) Discuss the main limitations of the calculation in question a) above. c) Derive the theoretical limit of the rotor efficiency and discuss the main assumptions of your analysis. d) Assuming 30% overall wind turbine efficiency and an array efficiency of 80%, find the annual energy production per unit of land area. Discuss the factors that can affect the energy production. Question 4 In a wind farm the wind turbines have a rotor diameter of 48 m and a tower height of 50 m. Tower spacing along the rows and the spacing between rows are 4 and 7 times the rotor diameter respectively. The wind speed averages 5 m/s at 10 m height. Assume standard air density, Rayleigh statistics and class 1 ground surface roughness. a) Calculate the average specific wind power. b) Discuss the main limitations of the calculation in question a) above. c) Derive the theoretical limit of the rotor efficiency and discuss the main assumptions of your analysis. d) Assuming 30% overall wind turbine efficiency and an array efficiency of 80%, find the annual energy production per unit of land area. Discuss the factors that can affect the energy production.
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