GATE EE 2015 Set 1 — Question 60
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Electrical Machines → Three-Phase Transformers → Auto-Transformer
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Question
A , , two-winding transformer is rated at . Its windings are connected as an auto-transformer of rating . A resistive load of is connected to the high voltage () side of the auto-transformer. The value of equivalent load resistance (in Ohm) as seen from low voltage side is _______.
Correct answer
1.3 to 1.4
Solution
1.For an auto-transformer, the voltage ratio is .
2.Given and , the ratio is .
3.The impedance transformation from the high voltage side to the low voltage side is given by:
4.Substituting the given values:
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