Question $2$ Results from tests performed on a single phase, $12$ kVA, $4400/220$ V$,50$ Hz transformer referred to the high$-$voltage side are given as: Open$-$Circuit Test Short$-$Circuit Test Voltmeter $4400$ V $154$ V Ammeter $0\mathrm{.}35$ A $2\mathrm{.}7$ A Wattmeter $150$ W $210$ W $($a$)$ List three functions that a transformer may perform in an electrical circuit. $[3$ marks$]($b$)$ Using the results above, derive parameters for the approximate equivalent circuit of the transformer referred to the high$-$voltage side. $[8$ marks$]($c$)$ Using the circuit model of part $($b$),$ determine the voltage regulation for $80\%$ of full load and $0\mathrm{.}65$ power factor lagging. $[5$ marks$]($d$)$ Calculate the transformer efficiency for the conditions of part $($c$).[4$ marks$]$ Question $2$

Results from tests performed on a single phase, $12$ kVA, $4400/\backslash (220\backslash$mathrm$\{$~V$\},50\backslash$mathrm$\{$~Hz$\}\backslash )$ transformer referred to the high$-$voltage side are given as:

$($a$)$ List three functions that a transformer may perform in an electrical circuit. $[3$ marks$]$

$($b$)$ Using the results above, derive parameters for the approximate equivalent circuit of the transformer referred to the high$-$voltage side.

$[8$ marks$]$

$($c$)$ Using the circuit model of part $($b$),$ determine the voltage regulation for $\backslash (80\backslash \%\backslash )$ of full load and $0\mathrm{.}65$ power factor lagging.

$($d$)$ Calculate the transformer efficiency for the conditions of part $($c$).$

$[4$ marks$]$