A 40-m, three-bladed wind turbine produces 600 kW at a windspeed of 14 m/s. Air density is the standard 1.225 kg/m3. Under these conditions, a) At what rpm does the rotor turn when it operates with tip speed ratio of 4? b) What is the tip speed of the rotor? c) If the generator needs to turn at 1800 rpm, what gear ratio is needed to match the rotor speed to the generator speed? d) What is the efficiency of the complete wind turbine (blades, gear-box, generator) under these conditions?
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a) The tip speed ratio is defined as the ratio of the speed of the tip of the blade to the speed of the wind. Show more…
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Consider an 82-m (diameter), 1.65-MW wind turbine with a rated wind speed of 13 m/s. a. At what rpm does the rotor turn when it operates with a TSR of 4.8 in 13 m/s winds? How many seconds per rotation is that? b. What is the tip speed of the rotor in those winds (m/s and mph)? c. What gear ratio is needed to match the rotor speed to an 1800 rpm generator when the wind is blowing at the rated wind speed? d. What is the efficiency of the complete wind turbine (blades, gearbox, generator) in 13 m/s winds?
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