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A generator driven by a wind turbine is required to deliver 12 MW of power at the generator terminals. The turbine is a two-blade propeller rotating about a horizontal axis and the maximum permitted shear stress of the turbine shaft is 55×106 N/m² The rotor is designed to operate at a rotational speed of 20 revolution per seconds .The stage efficiencies are Cp = 0.32, ngb = 0.90, ng = 0.92. . (1) If the turbine delivers its rated power at a wind average speed of 27 m/s, calculate the corresponding diameter of the propeller and its TSR assuming a typical value for the overall efficiency. The air density may be assumed to have a value 1.29

A generator driven by a wind turbine is required to deliver 12 MW of power at the generator terminals. The turbine is a two-blade propeller rotating about a horizontal axis and the maximum permitted shear stress of the turbine shaft is 55×106 N/m² The rotor is designed to operate at a rotational speed of 20 revolution per seconds .The stage efficiencies are Cp = 0.32, ngb = 0.90, ng = 0.92. . (1) If the turbine delivers its rated power at a wind average speed of 27 m/s, calculate the corresponding diameter of the propeller and its TSR assuming a typical value for the overall efficiency. The air density may be assumed to have a value 1.29

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A generator driven by a wind turbine is required to deliver 12 MW of power at the generator terminals. The turbine is a two-blade propeller rotating about a horizontal axis and the maximum permitted shear stress of the turbine shaft is 55×106 N/m2 The rotor is designed to operate at a rotational speed of 20 revolution per seconds .The stage efficiencies are Cp = 0.32, ngb = 0.90, ng = 0.92.. (i) If the turbine delivers its rated power at a wind average speed of 27 m/s, calculate the corresponding diameter of the propeller and its TSR, assuming a typical value for the overall efficiency. The air density may be assumed to have a value 1.29 kg/m³. (ii) Calculate the torque on the turbine shaft. Area = Radius= Tip speed ratio = shaft torque
Transcribed Image Text:A generator driven by a wind turbine is required to deliver 12 MW of power at the generator terminals. The turbine is a two-blade propeller rotating about a horizontal axis and the maximum permitted shear stress of the turbine shaft is 55×106 N/m2 The rotor is designed to operate at a rotational speed of 20 revolution per seconds .The stage efficiencies are Cp = 0.32, ngb = 0.90, ng = 0.92.. (i) If the turbine delivers its rated power at a wind average speed of 27 m/s, calculate the corresponding diameter of the propeller and its TSR, assuming a typical value for the overall efficiency. The air density may be assumed to have a value 1.29 kg/m³. (ii) Calculate the torque on the turbine shaft. Area = Radius= Tip speed ratio = shaft torque
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