In Figure 16–27, the source at bus 1 supplies two load buses through transmission lines with ZW1 =45+j250 Ω=phase and ZW2 =50+j330 Ω=phase. Line 1 connects the source bus to a load at bus 2 that draws a complex power of S2 =1:5+j0:5 MVA. Line 2 connects bus 2 to a load at bus 3 that draws a complex power of S3 =2+j1:5 MVA.

Assuming that the line voltage at bus 3 is VL3 = 115 kVðrmsÞ, find the bus voltages VL1 and VL2, the line currents IL1 and IL2, and the source power output needed to produce the specified load powers S2 and S3.

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Zw Zw Bus 1 Bus 2 Bus 3 VLI V1.2 V3 $2 FIGURE 16-27