Solve it quickly please singlephase power system is shown Th

single-phase power system is shown. The power source feeds a 100 kvA, 50.0 kv /4.0 kv transformer through +j200 o. transformer\'s equivalent series i pedance referred to its a feeder i of 50 The low-voltage side is 0.1 +j1.o 2. The load on the transformer is o.9 power factor lag 0.1 2 j 1.0 n 80 kW, 0.9 pf lagging 50 2 j200 2 Load Transformer Feeder Source (transmission line) 1. What is the voltage at the load if the source voltage is 52.5 kV?

Solution

primary Side current I1=100/52.5=1.904 amps

we know tansformation ratio K=[I1/I2]=[V2/V1]=[N2/N1].

K=4/50=0.08

so, I1/I2=0.08

I2=(I1)/0.08=1.904/0.08=23.8 amps

load power =80*10^3 watts.

we know P=V*I*power factor

80*10^3=V*23.8*0.9

V=3734.8 Volts=3.7348 KV.