4. A 4.5 MW, three-bladed horizontal axis wind turbine on Lake Erie shoreline has a tip diameter of 100 m and a rated wind speed of 12 m/s. Determine (a) the rated value of the power coefficient and compare this with the value at the Betz limit. Assume the air density is 1.2 kg/m³. (b) Using actuator disc theory, calculate the axial flow induction factor, a, and determine the static pressure difference across the disc at the rated wind speed.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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4. A 4.5 MW, three-bladed horizontal axis wind turbine on Lake Erie shoreline has a tip
diameter of 100 m and a rated wind speed of 12 m/s. Determine
(a) the rated value of the power coefficient and compare this with the value at the
Betz limit. Assume the air density is 1.2 kg/m³.
(b) Using actuator disc theory, calculate the axial flow induction factor, a, and
determine the static pressure difference across the disc at the rated wind speed.
Transcribed Image Text:4. A 4.5 MW, three-bladed horizontal axis wind turbine on Lake Erie shoreline has a tip diameter of 100 m and a rated wind speed of 12 m/s. Determine (a) the rated value of the power coefficient and compare this with the value at the Betz limit. Assume the air density is 1.2 kg/m³. (b) Using actuator disc theory, calculate the axial flow induction factor, a, and determine the static pressure difference across the disc at the rated wind speed.
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