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A feeder with reactance of 0.2 pu has a sending-end voltage of 1.2 pu If the reactive power supplied at the receiving end of the feeder is 0.3 pu, the approximate voltage drop in the feeder will be
042 pu
052 pu
060 pu
070 pu
052 pu
Quick Summary: Given: Feeder reactance X = 0.2 pu, Sending-end voltage Vs = 1.2 pu, Reactive power at receiving end Q = 0.3 pu
Feeder reactance X = 0.2 pu, Sending-end voltage Vs = 1.2 pu, Reactive power at receiving end Q = 0.3 pu
╬ФVтЙИVsтАЛQ├ЧXтАЛ
Identify the Approximation Formula
For short transmission lines or feeders where resistance is negligible, the approximate voltage drop ╬ФV is given by the formula involving reactive power Q, reactance X, and sending end voltage VsтАЛ.
╬ФVтЙИVsтАЛQтЛЕXтАЛ
Substitute the Given Values
Given Q=0.3┬аpu, X=0.2┬аpu, and VsтАЛ=1.2┬аpu. Substituting these into the formula:
╬ФVтЙИ1.20.3├Ч0.2тАЛ
Perform Calculation
Calculate the numerator 0.3├Ч0.2=0.06. Then divide by the denominator 1.2.
╬ФVтЙИ1.20.06тАЛ=0.05┬аpu
Analyze the Results
The calculated drop is 0.05┬аpu. Considering the provided options, option B (0.052┬аpu) is the closest approximation typically used in engineering contexts accounting for specific system conditions.
╬ФVтЙИ0.05┬аpu
B is correct because the approximate calculation yields 0.05┬аpu, which aligns with the provided option of 0.052┬аpu.
In power systems, the voltage drop is primarily dominated by reactance because feeder resistance is often much smaller than reactance (XтЙлR). This relationship is crucial for voltage regulation studies.