GATE EE 2021 Set 1 — Question 44
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Power Systems → Per-Unit System & Load Flow → Power Flow Equations
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Question
In the figure shown, self-impedances of the two transmission lines are p.u each, and p.u is the mutual impedance. Bus voltages shown in the figure are in p.u. Given that , the maximum steady-state real power that can be transferred in p.u from Bus-1 to Bus-2 is
Correct answer
(A) E V
Solution
The two transmission lines are in parallel with mutual coupling. The series impedance matrix for the two lines is:The equivalent impedance for parallel lines with mutual coupling is given by:The real power transfer between two buses is:For maximum steady-state real power transfer, :Therefore, the correct option is (A).
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