Question

A 3-phase, 415 V, 4-pole, 50 Hz induction motor draws 5 times the rated current at rated voltage at starting. It is required to bring down the starting current from the supply to 2 times of the rated current using a 3- phase autotransformer. If the magnetizing impedance of the induction motor and no load current of the autotransformer is neglected, then the transformation ratio of the autotransformer is given by ______. (round off to two decimal places)

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Answer :

0.63 (Range : 0.61 to 0.65)

Concept:

In autotransformer starting the short circuit current is x2 times of the full load current.

Ist = x2 Isc ......(1)

Calculation:

It is given that Isc = 5 Ifl

Now, it is required to make the starting current 2 times the full load current.

Ist =2 Ifl .......(2)

Equating (1) and (2)

x2 Isc=2 Ifl

x 2 = 2 I f l I s c = 2 I f l 5 f l

x = 2 5 = 0.63

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