In a single-phase transformer, the total iron loss is 2500 {W} at nominal voltage of 440 {V} and frequency 50 {Hz}. The total iron loss is 850 {W} at 220 {V} and 25 {Hz}. Then, at nominal voltage and frequency, the hysteresis loss and eddy current loss respectively are:

Correct Answer is : 900W and 1600W

GATE Electrical Engineering (EE) 2021 Solved Papers

Question : 58 of 65

Marks: +1, -0

In a single-phase transformer, the total iron loss is

2500 {W}

at nominal voltage of

440 {V}

and frequency

50 {Hz}

. The total iron loss is

850 {W}

220 {V}

and

25 {Hz}

. Then, at nominal voltage and frequency, the hysteresis loss and eddy current loss respectively are:

Solution:

{W}_{ {i}}= {W}_{ {h}}+ {W}_{ {e}}

{W}_{ {i}}= {A}_{ {f}}+ {Bf}^{2}

\;{ {V}_{2}}/{ {f}_{2}}=\;{ {V}_{1}}/{ {f}_{1}}=\;\text " constant "\;

{B}_{ {m} 2}= {B}_{ {m} 1}

\;{W_{i}}/{f}=A+B f

\;{2500}/{50}=A+B(50)

\;{850}/{250}=A+B(25)

-

-

-

──────────

16=25B

{B}=0.64

{A}=18

{W}_{ {h}}= {A} × {f}=18 × 50=900 {W}

{W}_{ {e}}= {B} × {f}^{2}=0.64 × 50^{2}=1600 {W}

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