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Consider the two power systems shown in Figure A, which are initially not interconnected and are operating in steady state at the same frequency. Separate load-flow solutions are computed individually for the two systems, and the bus voltage phasors obtained are indicated in Figure A. These two isolated systems are now interconnected by a short transmission line as shown in Figure B, and it is found that \(P_1=P_2=Q_1=Q_2=0\). The bus voltage phase angular difference between generator bus X and generator bus Y after the interconnection is:
- 10°
- 25°
- -30°
- 30°
Correct answer: 30°
Solution
When two synchronized systems are interconnected through a short line and the net active and reactive powers are zero, the operating point corresponds to equalized steady-state conditions across the tie. The phase difference between the generator buses is therefore the angle difference implied by the phasor relation in the figure, which is 30°.
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