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In a constant V/f induction motor drive, the slip at the maximum torque
  • a)
    is directly proportional to the synchronous speed.
  • b)
    remains constant with respect to the synchronous speed.
  • c)
    has an inverse relation with the synchronous speed.
  • d)
    has no relation with the synchronous speed.
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In a constant V/f induction motor drive, the slip at the maximum torqu...
In an induction motor operating at any voltage Vr, frequency f, slip for max torque = r2 / x2 where x2 = 2πL2 f.
Now; if frequency is changed (irrespective of whether v/f is constant or not) x2 changes proportionally. So slip for maximum torque is inversely proportional to frequency. Synchronous speed is directly proportional to frequency. Hence slip of maximum torque has an inverse relation with synchronous speed.
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Most Upvoted Answer
In a constant V/f induction motor drive, the slip at the maximum torqu...
Slip in a Constant V/f Induction Motor Drive

Slip is defined as the difference between the synchronous speed and the actual rotor speed of an induction motor. In a constant V/f induction motor drive, the frequency (f) of the stator voltage is kept constant while the voltage (V) is varied with the load. At the maximum torque, the slip has an inverse relation with the synchronous speed.

Explanation

As per the torque equation of an induction motor, the torque is directly proportional to the slip. At the maximum torque, the slip is also maximum. The maximum torque is achieved when the rotor impedance is equal to the rotor reactance. This condition is also known as the breakdown torque. At this point, the slip has an inverse relation with the synchronous speed.

The formula for slip is given by:

Slip = (Ns - Nr) / Ns

Where Ns is the synchronous speed and Nr is the actual rotor speed.

At the maximum torque, the rotor speed is less than the synchronous speed, hence the slip is positive. As the synchronous speed decreases, the slip increases. This is because the rotor impedance increases with decreasing speed, which causes an increase in slip. Therefore, the slip has an inverse relation with the synchronous speed at the maximum torque.

Conclusion

In conclusion, the slip at the maximum torque in a constant V/f induction motor drive has an inverse relation with the synchronous speed. This is because the rotor impedance increases with decreasing speed, causing an increase in slip.
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In a constant V/f induction motor drive, the slip at the maximum torquea)is directly proportional to the synchronous speed.b)remains constant with respect to the synchronous speed.c)has an inverse relation with the synchronous speed.d)has no relation with the synchronous speed.Correct answer is option 'C'. Can you explain this answer?
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In a constant V/f induction motor drive, the slip at the maximum torquea)is directly proportional to the synchronous speed.b)remains constant with respect to the synchronous speed.c)has an inverse relation with the synchronous speed.d)has no relation with the synchronous speed.Correct answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about In a constant V/f induction motor drive, the slip at the maximum torquea)is directly proportional to the synchronous speed.b)remains constant with respect to the synchronous speed.c)has an inverse relation with the synchronous speed.d)has no relation with the synchronous speed.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a constant V/f induction motor drive, the slip at the maximum torquea)is directly proportional to the synchronous speed.b)remains constant with respect to the synchronous speed.c)has an inverse relation with the synchronous speed.d)has no relation with the synchronous speed.Correct answer is option 'C'. Can you explain this answer?.
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