A wind turbine with a rotor diameter of 55m is rated at 1MW at a hub height wind rated speed of 14 m/s. It has a cut-in speed of 4 m/s and a cut-out speed of 25 m/s. Assume that this machine is located at a site where the mean wind speed is 10 m/s and that a Rayleigh wind speed distribution can be used. Calculate the following: a) The number of hours per year that the wind is below the cut-in speed. b) The number of hours per year that the machine will be shut down due to wind speeds above the cut-out velocity. c) The energy production (kWh/year) when the wind turbine is running at rated power.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A wind turbine with a rotor diameter of 55m is rated at 1MW at a hub height wind
rated speed of 14 m/s. It has a cut-in speed of 4 m/s and a cut-out speed of 25 m/s.
Assume that this machine is located at a site where the mean wind speed is 10 m/s
and that a Rayleigh wind speed distribution can be used. Calculate the following:
a) The number of hours per year that the wind is below the cut-in speed.
b) The number of hours per year that the machine will be shut down due to wind
speeds above the cut-out velocity.
c) The energy production (kWh/year) when the wind turbine is running at rated
power.
Transcribed Image Text:A wind turbine with a rotor diameter of 55m is rated at 1MW at a hub height wind rated speed of 14 m/s. It has a cut-in speed of 4 m/s and a cut-out speed of 25 m/s. Assume that this machine is located at a site where the mean wind speed is 10 m/s and that a Rayleigh wind speed distribution can be used. Calculate the following: a) The number of hours per year that the wind is below the cut-in speed. b) The number of hours per year that the machine will be shut down due to wind speeds above the cut-out velocity. c) The energy production (kWh/year) when the wind turbine is running at rated power.
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