Find the complex power supplied by the source on the left Th

Find the complex power supplied by the source on the left. The correct value is shown in the blue box as: Ss(bar)= 70.25+ j72.24 KVA

Xpovr sypplit 24kW Vs() 36kW 0.78 rnS la agg\'nj VA S70.25TA

load 1:

p=24*10^3 watts.

VIcosq=24*10^3

220<0*I*0.85=24*10^3

I1=128.34 amps.

load 2:

p=36*10^3 watts.

VI*cosq=36*10^3

220<0*I*0.78=36*10^3

i2=209.79 amps.

vs=(0.09+j0.25)*(i1+i2)+220<0

vs=(0.09+j0.25)*(128.34+209.79)+220<0

vs=264.3<18.65 voltss.

complex power=vs*(I1+I2)

complex power=264.3<18.65*(128.34+209.79)=(84675.03+j28578.58) VA.