How to extract maximum torque in a single phase repulsion type motor?

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SSC JE EE Previous Paper 10 (Held on: 10 Dec 2020)
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  1. The angle between brush axis and stator field axis must be equal to 180°.
  2. The angle between brush axis and stator field axis must be equal to 0°.
  3. The angle between brush axis and stator field axis must be equal to 90°.
  4. The angle between brush axis and stator field axis must be equal to 45°.

Answer (Detailed Solution Below)

Option 4 : The angle between brush axis and stator field axis must be equal to 45°.
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Detailed Solution

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Repulsion Motor: It is a special kind of single-phase AC motor which works due to the repulsion of similar poles. The stator of this motor is supplied with a single-phase AC supply and the rotor circuit is shorted through a carbon brush.

The torque in the repulsion motor is given as

Te = 0.5k IsNs2 sin 2α 

Where Is and Ns are the stator filed-current and an effective number of stator turns.

α is the angle between the brush axis or rotor field axis to the stator field axis.

Since a constant stator field motor extract maximum torque when

sin 2α = 1 ⇒ 2α = 90°  ⇒ α = 45° 

Maximum torque in the repulsion motor is achieved when the stator and rotor field axis is 45° apart.

Important Points

Rotor current is maximum when the brush axis and direct axis coincide(α = 0°) Rotor current is zero when the brush occupies a position in quadrature with the direct axis(α = 90°)
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