In Figure P16–66 the three buses are interconnected by transmission lines with wire impedances of ZW1 ¼ 100 þ

j850 V=phase and ZW2 ¼ 50 þ j250 V=phase. The load at bus 1 draws an apparent power of jS1j ¼ 400 kVA at a lagging power factor of 0.85. The line voltage at bus 1 is VL1 ¼ 138 kVðrmsÞ. The load at bus 3 draws an apparent power of jS3j ¼ 475 kVA at a lagging power factor of 0.95. The line current in line 2 is IL2 ¼ 2:0AðrmsÞ. Find the apparent power produced by the source at bus 2, the source power factor, and the line voltages at bus 2 and bus 3.

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IL1 Zwi Zw2 Bus 1 Bus 2 Bus 3 -VL1 VL2 VL3 $1 S2 S3 FIGURE P16-66