Electrical Engineering > GATE 2024 > Power Flow
For the three-bus lossless power network shown in the figure, the voltage magnitudes at all the buses are equal to 1 per unit (pu), and the differences of the voltage phase angles are very small. The line reactances are marked in the figure, where α, β, γ, and x are strictly positive. The bus injections P1 and P2 are in pu. If P1=mP2, where m>0, and the real power flow from bus 1 to bus 2 is 0 pu, then which one of the following options is correct?
A
γ=mβ
B
β=mγ
C
α=mγ
D
α=mβ

Correct : a) γ=mβ

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Related Topics

power network analysis three bus system GATE Electrical Engineering 2024 electrical engineering gate power flow analysis bus injections real power flow voltage angles line reactance GATE 2024 power network equations

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