GATE EE 2019 Set 1 — Question 57
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Electrical Machines → Three-Phase Induction Machines → Slip & Equivalent Circuit
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Question
A delta-connected, 3.7 kW, 400 V(line), three-phase, 4-pole, 50-Hz squirrel-cage induction motor has the following equivalent circuit parameters per phase referred to the stator: , , . Neglect shunt branch in the equivalent circuit. The starting line current in amperes (round off to two decimal places) when it is connected to a 100 V (line), 10 Hz, three-phase AC source is _____.
Correct answer
13 to 16
Solution
At starting the slip is , so the rotor branch resistance is simply .Step 1: Scale the reactances to 10 Hz
The given reactances are at 50 Hz, and :Step 2: Equivalent impedance per phase at startingStep 3: Phase current
The winding is delta-connected, so the phase voltage equals the line voltage, :Step 4: Line currentAnswer: A
The given reactances are at 50 Hz, and :Step 2: Equivalent impedance per phase at startingStep 3: Phase current
The winding is delta-connected, so the phase voltage equals the line voltage, :Step 4: Line currentAnswer: A
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