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 conversionsystem clearly showing the main design components (including controlblocks, feedback/measurement signals etc.) and stating three of itsprincipal advantages and limitations (at least one of each).(b) Using the conventional wind power relationship and assuming a practicaldrive train efficiency of 40 %, estimate the blade length of this turbine.(c) What is the maximum theoretical annual energy production of this windturbine under the rated operating conditions?(d) Calculate the empirical value of the optimum tip speed ratio, the tipspeed (m/s), and the shaft speeds of the turbine and the generator (inrev/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, andassuming that the electrical drive train components are ideal, how longdoes it take for the rotor speed found in part (d) to double?

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

Introductory Circuit Analysis (13th Edition)

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ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

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Concept explainers

HVDC

HVDC stands for high voltage direct current in the electric power transmission system. The high voltage direct current system uses direct current (DC) for the transmission of electrical power through transmission lines in contrast with the alternating current that is the AC system. The HVDC is used to transmit bulk power point-to-point through long distances transmission lines. Power is rapidly transferred because the efficiency of transmission lines is greatly increased over long distances due to HVDC lines.

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?

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