GATE EE 2021 Set 1 — Question 43
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Electrical Machines → Single-Phase Transformers → Losses & Max Efficiency
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Question
In a single-phase transformer, the total iron loss is at nominal voltage of and frequency . The total iron loss is at and . Then, at nominal voltage and frequency, the hysteresis loss and eddy current loss respectively are
Correct answer
(B) 900 W and 1600 W
Solution
Iron loss consists of hysteresis loss and eddy current loss . When the ratio is constant, and .
Check ratio:
Case 1:
Case 2:
Since is constant, we can write .
For Case 1 (): --- (1)
For Case 2 (): --- (2)
Subtracting (2) from (1): .
Substituting in (1): .
At nominal frequency ():
Hysteresis loss .
Eddy current loss .
Check ratio:
Case 1:
Case 2:
Since is constant, we can write .
For Case 1 (): --- (1)
For Case 2 (): --- (2)
Subtracting (2) from (1): .
Substituting in (1): .
At nominal frequency ():
Hysteresis loss .
Eddy current loss .
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