In Figure P16–67 the source at bus 1 supplies two load buses through transmission lines with wire impedances of ZW1 ¼ 6 þ j33 V=phase and ZW2 ¼ 3 þ j15 V=phase. The load at bus 2 draws an apparent power 4 MVA at a lagging power factor of 0.95. The load at bus 3 draws an apparent power of 3 MVA at a lagging power factor of 0.9. The line current in line 2 is IL2 ¼ 12:5AðrmsÞ. Find the apparent power produced by the source at bus 1, the source power factor, and the line voltages at bus 1, bus 2, and bus 3.

Transcribed Image Text:

Bus 1 112 IL1 Zwi Zw2 Bus 2 Bus 3 -VLI VL2 -VL3 S2 $3 S FIGURE P16-67