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ExamsGATETechnical

Common Data for Questions 71,72,73: A three phase squirrel cage induction motor has a starting current of seven times the full load current and full load slip of 5%. If an autotransformer is used for reduced voltage starting to provide 1.5 per unit starting torque, the autotransformer ratio (%) should be

  1. 57.77%
  2. 72.56%
  3. 78.25%
  4. 81.33%

Correct answer: 78.25%

Solution

Using Tst/Tfl = x^2 (Isc/Ifl)^2 * sfl with Isc/Ifl=7, sfl=0.05: 1.5 = x^2 * 49 * 0.05 = 2.45 x^2, so x^2=0.6122 and x=0.7825. The autotransformer ratio is 78.25%, not 72.56%.

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