Question

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?

          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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Added by Denise G.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Madhur L

05/31/2023

Step 1

8 in 13 m/s winds. Given: TSR = 4.8 Wind speed (v) = 13 m/s Diameter (d) = 82 m Calculate RPM using the formula: RPM = TSR * 60 * v / (π * d) RPM = 4.8 * 60 * 13 / (π * 82) RPM ≈ 1414.54 revolutions per minute 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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