A three-phase, 30 kW, 400 V, 50 Hz, six-pole, star-connected squirrel-cage induction motor. It drives a load characterized by the relation TL = k ω where TL is the shaft torque and ω is the motor speed. Operation is required to give rated torque at rated speed of 960 rpm and also to supply the appropriate load at speed of 640 rpm at which the power factor is dropped to 0.6. If the motor operates at full voltage at its upper speed, estimate roughly, the change of thyristor firing-angle necessary to achieve satisfactory operation of the motor at the lower speed. Assuming that the motor impedance is unchanged between the two speeds. Options: 1) 64˚≤ α ≤ 112˚ 2) 37˚≤ α ≤ 90˚ 3) 56˚≤ α ≤ 98˚ 4) 72˚≤ α ≤ 136˚

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A three-phase, 30 kW, 400 V, 50 Hz, six-pole, star-connected squirrel-cage induction motor. It drives a load characterized by the relation TL = k ω where TL is the shaft torque and ω is the motor speed. Operation is required to give rated torque at rated speed of 960 rpm and also to supply the appropriate load at speed of 640 rpm at which the power factor is dropped to 0.6. If the motor operates at full voltage at its upper speed, estimate roughly, the change of thyristor firing-angle necessary to achieve satisfactory operation of the motor at the lower speed. Assuming that the motor impedance is unchanged between the two speeds. Options:

1) 64˚≤ α ≤ 112˚
2) 37˚≤ α ≤ 90˚
3) 56˚≤ α ≤ 98˚
4) 72˚≤ α ≤ 136˚
 
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