GATE EE 2014 Set 2 — Question 49
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Electrical Machines → Single-Phase Transformers → Losses & Max Efficiency
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Question
For a single phase, two winding transformer, the supply frequency and voltage are both increased by 10%. The percentage changes in the hysteresis loss and eddy current loss, respectively, are
Correct answer
(A) 10 and 21
Solution
The induced voltage in a transformer is .
This implies .
Since both and are increased by 10%, the new values are and .
The new flux density is . Thus, the maximum flux density remains constant.Hysteresis Loss ():
. Since is constant, .
Percentage change in .Eddy Current Loss ():
. Since is constant, .
Percentage change in .
This implies .
Since both and are increased by 10%, the new values are and .
The new flux density is . Thus, the maximum flux density remains constant.Hysteresis Loss ():
. Since is constant, .
Percentage change in .Eddy Current Loss ():
. Since is constant, .
Percentage change in .
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