Q8 (16 Marks) Electric Machines (Motors & Generators) 🔥 Repeated 3x in exams
MET • Written Exam

(a) List the factors that determine the starting torque of the three-phase induction motor. How does this torque generally compare with the value of the rated torque?

(b) A three-phase induction motor is wound for four poles and is supplied from a 50 Hz system. Calculate:

(i) The synchronous speed.

(ii) The speed of the rotor when the slip is 4 per cent.

(iii) The rotor frequency when the speed of the rotor is 600 r/min.

Appeared In: Feb 2026Jul 2025Feb 2025

Verified Model Answer (Text Solution)

Structured for DG Shipping MEO Class II examination scoring criteria.

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Part (a)

Factors that determine the starting torque of a three-phase induction motor:

  • The applied voltage (starting torque is proportional to the square of the applied voltage, T proportional to V^2).
  • The rotor resistance (increasing rotor resistance increases the starting torque up to a maximum, and shifts the maximum-torque point towards standstill).
  • The rotor and stator reactances (leakage reactance) - higher leakage reactance reduces the starting torque.
  • The number of poles and the synchronous speed (torque depends on the air-gap power and synchronous speed).
  • The rotor and stator winding resistances and the turns ratio.
  • The supply frequency.
  • The air-gap flux.
  • Comparison with rated torque: the starting torque of a standard squirrel-cage motor is typically about 1.5 to 2 times the full-load (rated) torque. It is generally greater than the rated torque so that the motor can start the load, but not excessively high. For a slip-ring motor the starting torque can be increased up to the maximum torque by adding rotor resistance.
Part (b)

Three-phase induction motor, 4 poles, 50 Hz supply:

  • (i) Synchronous speed Ns = 120 f / P = 120 x 50 / 4 = 1500 rev/min.
  • (ii) Speed at 4% slip: N = Ns (1 - s) = 1500 x (1 - 0.04) = 1500 x 0.96 = 1440 rev/min.
  • (iii) Rotor frequency when rotor speed is 600 rev/min:
  • Slip s = (Ns - N)/Ns = (1500 - 600)/1500 = 900/1500 = 0.6.
  • Rotor frequency fr = s x f = 0.6 x 50 = 30 Hz.

So synchronous speed = 1500 rev/min, rotor speed at 4% slip = 1440 rev/min, rotor frequency at 600 rev/min = 30 Hz.

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