A $50$kVA,$7200-240$Vsingle$-$phasetransformerhasanequivalentseriesimpedanceof $\frac{25}{{?}_{75}}$@$$ in terms of the high$-$voltage side. The transformer supplies a $45$ kVA load with a $0\mathrm{.}89$ lagging power factor at rated voltage.

Tasks:

Determine the base voltage and base impedance on the high$-$voltage side and the low$-$voltage side.

Calculate the per$-$unit equivalent impedance Zeq using the rated high$-$side voltage as the base voltage.

Calculate the per$-$unit equivalent impedance Zeq using the rated low$-$side voltage as the base voltage.

Compute the percentage voltage regulation $(\%$VR$)$ using the per$-$unit equivalent impedance values.

Comment on the performance of the transformer based on the voltage regulation.

Draw the equivalent circuit model of the transformer with the equivalent series impedances