2. The star-connected rotor of an induction motor has a standstill impedance of (0.4+ j4) ohm per phase and the rheostat impedance per phase is (6+j2) ohm. The motor has an induced e.m.f. of 80 V between slip-rings at standstill when connected to its normal supply voltage. Find (a) rotor current at standstill with the rheostat in the circuit (b) when the slip-rings are short-circuited and the motor is running with a slip of 3%. [5.27 A ; 3.3 A]

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Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.21P: An industrial plant consisting primarily of induction motor loads absorbs 500 kW at 0.6 power factor...
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2. The star-connected rotor of an induction motor has a standstill impedance of (0.4+j4) ohm per phase
and the rheostat impedance per phase is (6+j2) ohm. The motor has an induced e.m.f. of 80 V
between slip-rings at standstill when connected to its normal supply voltage. Find (a) rotor current at
standstill with the rheostat in the circuit (b) when the slip-rings are short-circuited and the motor is
running with a slip of 3%.
3. A4-pole, 50-Hz induction motor has a full-load slip of 5%. Each rotor phase has a resistance of 0.3 Q
and a standstill reactance of 1.2 Q. Find the ratio of maximum torque to full-load torque and the speed
at which maximum torque occurs.
4. A 3-phase, 4-pole, 50-Hz induction motor has a star-connected rotor. The voltage of each rotor phase
at standstill and on open-circuit is 121 V. The rotor resistance per phase is 0.3 and the reactance at
standstill is 0.8 N. If the rotor current is 15 A, calculate the speed at which the motor is running.
Also, calculate the speed at which the torque is a maximum and the corresponding value of the input
power to the motor, assuming the flux to remain constant.
5. A 4-pole, 3-phase, 50 Hz induction motor has a voltage between slip-rings on open-circuit of 520 V.
The star-connected rotor has a standstill reactance and resistance of 2.0 and 0.4 Q per phase
respectively. Determine :
(a) the full-load torque if full-load speed is 1,425 r.p.m.
(b) the ratio of starting torque to full-load torque
(c) the additional rotor resistance required to give maximum torque at standstill
[5.27 A ; 3.3 A]
[2.6 ; 1125 г.p.m.]
[1444 г.р.m.; 937.5 г.р.m.]
[(a) 200 N-m (b) 0.82 (c) 1.6 N] (Elect. Machines-II, Vikram Univ. Ujjain 1977)
Transcribed Image Text:2. The star-connected rotor of an induction motor has a standstill impedance of (0.4+j4) ohm per phase and the rheostat impedance per phase is (6+j2) ohm. The motor has an induced e.m.f. of 80 V between slip-rings at standstill when connected to its normal supply voltage. Find (a) rotor current at standstill with the rheostat in the circuit (b) when the slip-rings are short-circuited and the motor is running with a slip of 3%. 3. A4-pole, 50-Hz induction motor has a full-load slip of 5%. Each rotor phase has a resistance of 0.3 Q and a standstill reactance of 1.2 Q. Find the ratio of maximum torque to full-load torque and the speed at which maximum torque occurs. 4. A 3-phase, 4-pole, 50-Hz induction motor has a star-connected rotor. The voltage of each rotor phase at standstill and on open-circuit is 121 V. The rotor resistance per phase is 0.3 and the reactance at standstill is 0.8 N. If the rotor current is 15 A, calculate the speed at which the motor is running. Also, calculate the speed at which the torque is a maximum and the corresponding value of the input power to the motor, assuming the flux to remain constant. 5. A 4-pole, 3-phase, 50 Hz induction motor has a voltage between slip-rings on open-circuit of 520 V. The star-connected rotor has a standstill reactance and resistance of 2.0 and 0.4 Q per phase respectively. Determine : (a) the full-load torque if full-load speed is 1,425 r.p.m. (b) the ratio of starting torque to full-load torque (c) the additional rotor resistance required to give maximum torque at standstill [5.27 A ; 3.3 A] [2.6 ; 1125 г.p.m.] [1444 г.р.m.; 937.5 г.р.m.] [(a) 200 N-m (b) 0.82 (c) 1.6 N] (Elect. Machines-II, Vikram Univ. Ujjain 1977)
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