A 8-kW, 4-pole, 220-V, 50-Hz reluctance motor has a torque angle of 30° when operating under rated load conditions. Calculate the load torque.

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SSC JE EE Previous Paper 10 (Held on: 10 Dec 2020)
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  1. 51 Nm
  2. 4.3 Nm
  3. 43 Nm
  4. 5.1 Nm

Answer (Detailed Solution Below)

Option 1 : 51 Nm
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Detailed Solution

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Concept:

A reluctance motor is a constant speed motor like a synchronous motor.

Speed (Ns) = 120 f / P

f = frequency, P = number of poles

Angular speed (ω) = (2 π Ns) / 60

Calculation:

Given

P = 4, f = 50 Hz, power = 8000 W

Ns = 120 × 50 / 4 = 1500 RPM

ω = (2 × π × 1500) / 60

ω = 157 rad/s

Torque = Power / ω

Torque = 8000 / 157

Torque = 51 N-m

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