2. A wind turbine with a blade-length of 45 m is producing 3 GWh annually. It is located in an area with a mean temperature of 6.8°C. (a) Assuming the wind speed distribution is constant over the year, calculate the wind speed for a turbine efficiency of 70% with respect to the maximum theoretically possible efficiency.. (b) Consider now a realistic wind speed distribution following the Rayleigh distribution. Which average wind speed would lead to an equivalent average power output as in (a). Hint: The Rayleigh distribution is given by:

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
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Author:Kreith, Frank; Manglik, Raj M.
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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.29P: Air at 20C flows at 1 m/s between two parallel flat plates spaced 5 cm apart. Estimate the distance...
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2. A wind turbine with a blade-length of 45 m is producing 3 GWh annually. It is located in
an area with a mean temperature of 6.8°C.
(a) Assuming the wind speed distribution is constant over the year, calculate the wind
speed for a turbine efficiency of 70% with respect to the maximum theoretically possible
efficiency..
(b) Consider now a realistic wind speed distribution following the Rayleigh distribution.
Which average wind speed would lead to an equivalent average power output as in (a).
Hint: The Rayleigh distribution is given by:
Transcribed Image Text:2. A wind turbine with a blade-length of 45 m is producing 3 GWh annually. It is located in an area with a mean temperature of 6.8°C. (a) Assuming the wind speed distribution is constant over the year, calculate the wind speed for a turbine efficiency of 70% with respect to the maximum theoretically possible efficiency.. (b) Consider now a realistic wind speed distribution following the Rayleigh distribution. Which average wind speed would lead to an equivalent average power output as in (a). Hint: The Rayleigh distribution is given by:
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