(12) A 3-phase, 4-pole, 440-V, 50-Hz slip-ring induction motor is started at full voltage uncoupled from its load. When a fixed external rotor resistance of value four times the rotor resistance itself is inserted at starting, the starting current and power factor are respectively 200 A and 0-6. The motor runs up to speed and the slip rings are then short circuited. On steady conditions being achieved the current and power factor become 12-5 A and 0-2. Assuming R1 (a) Estimate the maximum torque and the total external resistance, expressed n terms of the rotor resistance, required to get this torque at standstill with full voltage applied. © How much external rotor resistance would be reguired to double the patural b) What would be the line current if started from full voltage without external R2, rotor resistance? starting torque?

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The subject is about Induction machines. Please, Solve the following question using circle diagram only.
(12) A 3-phase, 4-pole, 440-V, 50-Hz slip-ring induction motor is started at full
voltage uncoupled from its load. When a fixed external rotor resistance of value
four times the rotor resistance itself is inserted at starting, the starting current and
power factor are respectively 200 A and 0-6. The motor runs up to speed and the
slip rings are then short circuited. On steady conditions being achieved the current
and power factor become 12-5 A and 0-2. Assuming R1
(a) Estimate the maximum torque and the total external resistance, expressed
terms of the rotor resistance, required to get this torque at standstill with fun
voltage applied.
(b) What would be the line current if started from full voltage without external
rotor resistance?
Kiddr
(c) How much external rotor resistance would be required to double the natural
re
8
to
th
sp
R2',
2.
starting torque?
(11)
Transcribed Image Text:(12) A 3-phase, 4-pole, 440-V, 50-Hz slip-ring induction motor is started at full voltage uncoupled from its load. When a fixed external rotor resistance of value four times the rotor resistance itself is inserted at starting, the starting current and power factor are respectively 200 A and 0-6. The motor runs up to speed and the slip rings are then short circuited. On steady conditions being achieved the current and power factor become 12-5 A and 0-2. Assuming R1 (a) Estimate the maximum torque and the total external resistance, expressed terms of the rotor resistance, required to get this torque at standstill with fun voltage applied. (b) What would be the line current if started from full voltage without external rotor resistance? Kiddr (c) How much external rotor resistance would be required to double the natural re 8 to th sp R2', 2. starting torque? (11)
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