Question

At 50 Hz operation, a single phase transformer has hysteresis loss of 200 W and eddy current loss of 100 W. Its core loss at 60 Hz operation at constant flux density will be_______W.

• A. 384

Answer 1

The correct option is A 384
Hysteresis loss is proportional to frequency and eddy current loss is proportional to the square of the frequency.
$\therefore \text{The core loss at 60 Hz}$
$P_{core}=k_{h}f+k_e{f}^2$
$(k_h$ = hysteresis loss constant,
$k_e$ = eddy current loss constant)

$=200\times \frac{60}{50}+100\times {\left(\frac{60}{50}\right)}^2$
$=200\times 1.2+100\times 1.44=384W$