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(c) What is the maximum theoretical annual energy production of this wind turbine under the rated operating conditions?

(c) What is the maximum theoretical annual energy production of this wind turbine under the rated operating conditions?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Question
A 1.5 MW, 3-bladed DFIG wind turbine is fully loaded at a 12 m/s wind speed. The gearbox ratio is 75, and the air-density at the hub height is 1.2 kg/m3. The total moment of inertia of the rotational masses is 4.2 x 106 kgm². (a) Present a detailed configuration of such a wind energy conversion system clearly showing the main design components (including control blocks, feedback/measurement signals etc.) and stating three of its principal advantages and limitations (at least one of each). (b) Using the conventional wind power relationship and assuming a practical drive train efficiency of 40 %, estimate the blade length of this turbine. (c) What is the maximum theoretical annual energy production of this wind turbine under the rated operating conditions? (d) Calculate the empirical value of the optimum tip speed ratio, the tip speed (m/s), and the shaft speeds of the turbine and the generator (in rev/min) at 12 m/s wind speed. (e) The grid connection is suddenly lost and the brakes fail to apply. Providing there are no changes in the aerodynamic forces, and assuming that the electrical drive train components are ideal, how long does it take for the rotor speed found in part (d) to double?
Transcribed Image Text:A 1.5 MW, 3-bladed DFIG wind turbine is fully loaded at a 12 m/s wind speed. The gearbox ratio is 75, and the air-density at the hub height is 1.2 kg/m3. The total moment of inertia of the rotational masses is 4.2 x 106 kgm². (a) Present a detailed configuration of such a wind energy conversion system clearly showing the main design components (including control blocks, feedback/measurement signals etc.) and stating three of its principal advantages and limitations (at least one of each). (b) Using the conventional wind power relationship and assuming a practical drive train efficiency of 40 %, estimate the blade length of this turbine. (c) What is the maximum theoretical annual energy production of this wind turbine under the rated operating conditions? (d) Calculate the empirical value of the optimum tip speed ratio, the tip speed (m/s), and the shaft speeds of the turbine and the generator (in rev/min) at 12 m/s wind speed. (e) The grid connection is suddenly lost and the brakes fail to apply. Providing there are no changes in the aerodynamic forces, and assuming that the electrical drive train components are ideal, how long does it take for the rotor speed found in part (d) to double?
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