GATE EE 2020 Set 1 — Question 57
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Power Systems → Per-Unit System & Load Flow → Power Flow Equations
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Question
Bus 1 with voltage magnitude is sending reactive power towards bus 2 with voltage magnitude through a lossless transmission line of reactance . Keeping the voltage at bus 2 fixed at , magnitude of voltage at bus 1 is changed, so that the reactive power sent from bus 1 is increased by . Real power flow through the line under both the conditions is zero. The new value of the voltage magnitude, , in pu (rounded off to 2 decimal places), at bus 1 is __________.

Correct answer
1.11 to 1.13
Solution
1.Reactive Power Flow Equation:
2.Condition for Zero Real Power:
.Thus, .
3.Initial State:
.4.Final State:
..
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