GATE EE 2017 Set 2 — Question 43
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Electrical Machines → Three-Phase Induction Machines → Slip & Equivalent Circuit
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Question
A star-connected, , (line), 3-phase, squirrel cage induction motor has following equivalent circuit parameters per phase referred to the stator: , , , . Neglect shunt branch in the equivalent circuit. The starting current (in Ampere) for this motor when connected to an (line), , 3-phase AC source is ______.
Correct answer
69 to 71
Solution
The starting current of an induction motor is given by , where is the equivalent impedance at starting ().
1.Identify parameters at :
2.Calculate reactances at :
Reactance is proportional to frequency ().3.Calculate total equivalent impedance:
4.Calculate phase voltage at line:
Since the motor is star-connected:5.Calculate starting current:
Thus, the starting current is approximately , which falls within the range of 69 to 71.Continue learning with Success Tracker
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