Problem $5\mathrm{.}5$: A $24-$kV feeder $($line$)$ supplies a $1$ phase load through a step$-$down transformer. The feeder impedance is $50+$ j $400$ ohm, the transformer voltage rating is $24/2\mathrm{.}4$kV$,$ and the $($series$)$ impedance is $0\mathrm{.}2+$ j$1\mathrm{.}0$ ohm referred to the low$-$voltage side. The feeder sending$-$end voltage, $|$V$\_$s$|$ is adjusted so that at full load, $200$ kW at $0\mathrm{.}9$ PF lagging is supllied to the load at a voltage $|$V$\_$L$|\_$full load $=2300$ V$/$

Find $|$V$\_$s$|$

Find $|$V$\_$R$|,$ the feeder receiving$-$end voltage$$

Find the overall transmission efficiency $($i$.$e$.,$ efficiency $=$ P$\_$load $/($P$\_$load $+$ P$\_$losses$)$

Suppose that the load is now removed while $|$V$\_$s$|$ remains unchanged at its value found in part $($a$).$ We then find $|$V$\_$L$|\_$no load $=0\mathrm{.}1|$V$\_$s$|.$ Find the $$percent voltage regulation,$$ where percent voltage regulation $=((|$V$\_$L$|\_$no load $-|$V$\_$L$|\_$full load$)/|$V$\_$L$|\_$full load$)*100$