In Figure P16-53, the source at bus 1 supplies two load buses through transmission lines with wire impedances of \(Z_{\mathrm{W}_{1}}=6+j 33 \Omega /\) phase and \(Z_{\mathrm{W}_{2}}=3+j 15 \Omega /\) phase. The load at bus 2 draws an apparent power 4 MVA at a lagging power factor of 095. The load at bus 3 draws an apparent power of 3 MVA at a lagging power factor of 0.9. The line voltage at bus 3 is \(V_{\mathrm{L} 3}=\) \(138 \mathrm{kV}(\mathrm{rms})\). 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.

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Bus 1 ILI VLI S Zwi Bus 2 VL2 S Zw2 12 Bus 3 S3 VL3