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A 415 V, 50 Hz, 3-phase 6-pole, Y - connected induction motor has the following parameters: R1 = 0

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A 415 V, 50 Hz, 3-phase 6-pole, Y - connected induction motor has the following parameters:

R1 = 0.4 Ω, R'₂ = 0.2 Ω, X_eq = 12 ? and rotational loss is 150 W. The motor operates in regenerative braking mode as the wind energy generator. If the wind speed exerts 50Nm on the shaft of the rotor ( use small slip equation and approximation motor circuit), determine:

5.1     The speed of the motor

5.2      The mechanical power input to the motor

5.3      The rotor current (I'₂)