In Figure P16–64 the three buses are interconnected by transmission lines with wire impedances of ZW1 ¼

100 þ j600 V=phase and ZW2 ¼ 120 þ j800 V=phase. The source at bus 2 produces an apparent power of jS2j ¼

300 kVA at a lagging power factor of 0.85. The load at bus 3 draws an apparent power of jS3j ¼ 600 kVA at a lagging power factor of 0.8. The line voltage at bus 3 is VL3 ¼ 161 kVðrmsÞ. Find the apparent power produced by the source at bus 1, the source power factor, and the line voltages at bus 1 and bus 2.

Transcribed Image Text:

Bus 1 IL1 IL2 Zw2 Zwi Bus 3 Bus 2 -VL1 -VL2 VL3 S $2 $3 FIGURE P16-64