Instructions:

Clearly show all your steps and calculations.

Provide final answers with appropriate units and significant figures.

Use proper per$-$unit system methodology and equivalent circuit models for solving the problems.

Submit your assignment in a clear and organized format with diagrams where applicable.

A $25$kVA,$7200-240V$ single$-$phase transformer has an equivalent series impedance of $\frac{20}{{?}_{60}}$@$$ in terms of the high$-$voltage side. The transformer supplies a $20$kVA load with a $0\mathrm{.}9$ 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