Calculate the mechanical output power, Mechanical Engineering

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A 415 V, 5 kW, 50 Hz, 4-pole, 3-phase wound-rotor induction motor has the following characteristics: 

  1. Stator winding resistance R1 = 2.1 Ω,
  2. Referred rotor winding resistance R'2 = 1.8 Ω,
  3. Stator leakage reactance X1 = 2.25 Ω.
  4. Referred rotor leakage reactance X'2 = 2.25 Ω.

The magnetising current, core losses and rotating losses can be neglected for this question.   

The motor is started direct on-line from a 415 V 50 Hz three phase supply. 

(a)  Calculate the starting current.

(b)  Calculate the starting torque.

(c)  Discuss how the starting current could be limited for this wound-rotor motor. 

(d)  If the motor is running at a speed of 1450 rpm, calculate the mechanical output power.


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