For the Power System in Test Bank Problem 3 $18 \mathrm{kV}$

Essay

For the power system in Test Bank Problem 3.11, the synchronous motor absorbs 1200 MW at 0.8 power factor leading with the bus 3 voltage at $18 \mathrm{kV}$ . Determine the bus 1 and bus 2 voltages in $\mathrm{kV}$ . Assume that generators 1 and 2 deliver equal real powers and equal reactive powers. Also assume a balanced three-phase system with positive-sequence sources.