QUESTION $6$

A single phase transformer $4\mathrm{.}16k\frac{V}{450}V($phase to phase quantities$),$ rated at $100$ kVA has the following parameters: $Rp=0\mathrm{.}001$Ohms; $Rs=0\mathrm{.}0003$Ohms;$xp=0\mathrm{.}01$ Ohms; $xs=0\mathrm{.}003$ Ohms $("p$ is primary winding of $4\mathrm{.}16$ kV $,s$ is secondary winding of $450V^{\text{'}\text{'}})Ro=1pu,xo=2pu.$

A $90$kVA load at $0\mathrm{.}90$ pf lagging, operating at rated voltage, is connected to the secondary winding.

Neglecting all magnetizing effects, find:

a$.$ The Referred Load Voltage on the Primary

b$.$ The Load Current

c$.$ The Primary Current

d$.$ Source Voltage

e$.$ Power supplied $(P+jQ)$

g$.$ Efficiency of the transformer