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For the power system shown on the bottom left, the synchronous motor absorbs 1500 MW at 0.8 power factor leading with the bus 3

For the power system shown on the bottom left, the synchronous motor absorbs 1500 MW at 0.8 power factor

For the power system shown on the bottom left, the synchronous motor absorbs 1500 MW at 0.8 power factor leading with the bus 3 voltage at 18 kV. Equipment ratings are ... Generator 1: Generator 2: 1000 MVA, 18 kV, X" = 0.2 per unit 1000 MVA, 18 kV, X" = 0.2 pu Synchronous motor 3: 1500 MVA, 20 kV, X"= 0.2 pu Three-phase A-Y transformers T, T, T3, T4: 1000 MVA, 500 kV Y/20 kV A, X = 0.1 pu 1500 MVA, 500 kV Y/20 kV Y, X = 0.1 pu Three-phase Y-Y transformer T5: Neglecting resistance, transformer phase shift, and magnetizing reactance AND using a base of 100 MVA and 500 kV for the 50-ohm line, we drew the equivalent per-unit circuit diagram on the lower right. Determine the bus 1 and bus 2 voltages in 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. The per-unit equivalent circuit is shown on the right. YO 1 J 08 T T3 J 10380 25 (2 Y 3 150 PHOTO j2 (2 XX 2. HBC 10380 T TA 2 2 j0.0162 + V jo.01 ree (3) j0.02 j0.0133 jo.01 jo.01 j0.0008 j0.01 reeree eerle 1/2 T j0.0067 j0.01 + j0.0162 82

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