Question

A 4-pole, 2.3 MW, 690 V, 60 Hz squirrel cage induction generator is used in a fixed-speed wind energy conversion system. Generator parameters are given below:

R1=0.001102 Ω, X2’=0.0204 Ω

X1=0.0204 Ω, R2’=0.001497 Ω

RC=∞ Ω (or inexistent)

Xm=0.6706 Ω

At a given wind speed, the machine operates at the rated speed of 1820 rpm. Neglecting losses, determine the following:

a. The slip, and the rotor speed in mechanical rad/sec and in electrical rad/sec;

b. The stator (or grid) and rotor currents;

c. The developed power and torque;

d. The output power to the grid in MW (consider 690 Volts magnitude at 0 angle for reference)