GATE EE 2014 Set 1 — Question 46
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Electrical Machines → Single-Phase Transformers → Losses & Max Efficiency
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Question
The core loss of a single phase, 230/115 V, 50 Hz power transformer is measured from 230 V side by feeding the primary (230 V side) from a variable voltage variable frequency source while keeping the secondary open circuited. The core loss is measured to be 1050 W for 230 V, 50 Hz input. The core loss is again measured to be 500 W for 138 V, 30 Hz input. The hysteresis and eddy current losses of the transformer for 230 V, 50 Hz input are respectively,
Correct answer
(A) 508 W and 542 W.
Solution
Core loss . When is constant, and .
Check ratio:
Case 1:
Case 2:
Since is constant, .
1)
2)
Subtracting (2) from (1):
Substitute into (1):
At 50 Hz:
W
W
The closest values are 508 W and 542 W.
Check ratio:
Case 1:
Case 2:
Since is constant, .
1)
2)
Subtracting (2) from (1):
Substitute into (1):
At 50 Hz:
W
W
The closest values are 508 W and 542 W.
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