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 2 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 [(a) 200 N-m (b) 0.82 (c) 1.6 Q] (Elect. Machines-II, Vikram Univ. Ujjain 1977)

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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 2 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
[(a) 200 N-m (b) 0.82 (c) 1.6 2] (Elect. Machines-II, Vikram Univ. Ujjain 1977)
A 50-Hz, 8-pole induction motor has a full-load slip of 4 per cent. The rotor resistance is 0.001 Q
per phase and standstill reactance is 0.005 2 per phase. Find the ratio of the maximum to the full-
load torque and the speed at which the maximum torque occurs.
[2.6; 600 r.p.m.] (City & Guilds, London)
A 3-0, 50-Hz induction motor with its rotor star-connected gives 500 V (r.m.s.) at standstill between
slip-rings on open circuit. Calculate the current and power factor in each phase of the rotor windings
at standstill when joined to a star-connected circuit, each limb of which has a resistance of 10 Q and
an inductance of 0.03 H. The resistance per phase of the rotor windings is 0.2 Q and inductance
0.03 H. Calculate also the current and power factor in each rotor phase when the rings are short-
circuited and the motor is running with a slip of 4 per cent.
[13.6 A, 0.48; 27.0 A, 0.47] (London University)
A 4-pole, 50-Hz, 3-phase induction motor has a slip-ring rotor with a resistance and standstill reactance
of 0.04 Q and 0.2 Q per phase respectively. Find the amount of resistance to be inserted in each rotor
phase to obtain full-load torque at starting. What will be the approximate power factor in the rotor at
this instant ? The slip at full-load is 3 per cent.
[0.084 2, 0.516 p.f.] (London University)
Transcribed Image Text: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 2 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 [(a) 200 N-m (b) 0.82 (c) 1.6 2] (Elect. Machines-II, Vikram Univ. Ujjain 1977) A 50-Hz, 8-pole induction motor has a full-load slip of 4 per cent. The rotor resistance is 0.001 Q per phase and standstill reactance is 0.005 2 per phase. Find the ratio of the maximum to the full- load torque and the speed at which the maximum torque occurs. [2.6; 600 r.p.m.] (City & Guilds, London) A 3-0, 50-Hz induction motor with its rotor star-connected gives 500 V (r.m.s.) at standstill between slip-rings on open circuit. Calculate the current and power factor in each phase of the rotor windings at standstill when joined to a star-connected circuit, each limb of which has a resistance of 10 Q and an inductance of 0.03 H. The resistance per phase of the rotor windings is 0.2 Q and inductance 0.03 H. Calculate also the current and power factor in each rotor phase when the rings are short- circuited and the motor is running with a slip of 4 per cent. [13.6 A, 0.48; 27.0 A, 0.47] (London University) A 4-pole, 50-Hz, 3-phase induction motor has a slip-ring rotor with a resistance and standstill reactance of 0.04 Q and 0.2 Q per phase respectively. Find the amount of resistance to be inserted in each rotor phase to obtain full-load torque at starting. What will be the approximate power factor in the rotor at this instant ? The slip at full-load is 3 per cent. [0.084 2, 0.516 p.f.] (London University)
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