A 40m diameter, 3-bladed wind turbine produces 700kW at a wind speed (hub height) of 14 m/s. The air density is 1.225 kg/m3. Determine: a) The rotational speed (rpm) of the rotor at a tip speed ratio of 5.0. b) What is the tip speed (m/s)? c) If the generator turns at 1800 rpm, what gear ratio is needed to match the rotor speed to the generator speed? d) What is the efficiency of the wind turbine system (including blades, transmission, shafts, and generator) under these conditions?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A 40m diameter, 3-bladed wind turbine produces 700kW at a wind speed (hub height)
of 14 m/s. The air density is 1.225 kg/m3. Determine:
a) The rotational speed (rpm) of the rotor at a tip speed ratio of 5.0.
b) What is the tip speed (m/s)?
c) If the generator turns at 1800 rpm, what gear ratio is needed to match the rotor
speed to the generator speed?
d) What is the efficiency of the wind turbine system (including blades, transmission,
shafts, and generator) under these conditions?
Transcribed Image Text:A 40m diameter, 3-bladed wind turbine produces 700kW at a wind speed (hub height) of 14 m/s. The air density is 1.225 kg/m3. Determine: a) The rotational speed (rpm) of the rotor at a tip speed ratio of 5.0. b) What is the tip speed (m/s)? c) If the generator turns at 1800 rpm, what gear ratio is needed to match the rotor speed to the generator speed? d) What is the efficiency of the wind turbine system (including blades, transmission, shafts, and generator) under these conditions?
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