GATE EE 2020 Set 1 — Question 57

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NAT+2 / -0MediumPower Flow EquationsPer-Unit System & Load FlowPower Systems

Power Systems → Per-Unit System & Load Flow → Power Flow Equations

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Question

Bus 1 with voltage magnitude V1=1.1 puV_1 = 1.1\text{ pu} is sending reactive power Q12Q_{12} towards bus 2 with voltage magnitude V2=1 puV_2 = 1\text{ pu} through a lossless transmission line of reactance XX. Keeping the voltage at bus 2 fixed at 1 pu1\text{ pu}, magnitude of voltage at bus 1 is changed, so that the reactive power Q12Q_{12} sent from bus 1 is increased by 20%20\%. Real power flow through the line under both the conditions is zero. The new value of the voltage magnitude, V1V_1, in pu (rounded off to 2 decimal places), at bus 1 is __________.
Transmission line diagram between Bus 1 and Bus 2
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