GATE EE 2016 Set 2 — Question 25
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Power Systems → Economic Operation & Compensation → Series & Shunt Compensation
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Question
The inductance and capacitance of a , three-phase, lossless transmission line are and respectively. The sending end voltage is maintained at . To maintain a voltage of at the receiving end, when the line is delivering load, the shunt compensation required is
Correct answer
(B) inductive
Solution
First, calculate the Surge Impedance ():
Next, calculate the Surge Impedance Loading (SIL):
The actual load delivered is . Since , the line is underloaded. An underloaded line generates more reactive power than it consumes, leading to a voltage rise at the receiving end (Ferranti effect). To maintain , the excess reactive power must be absorbed, which requires inductive shunt compensation.
Next, calculate the Surge Impedance Loading (SIL):
The actual load delivered is . Since , the line is underloaded. An underloaded line generates more reactive power than it consumes, leading to a voltage rise at the receiving end (Ferranti effect). To maintain , the excess reactive power must be absorbed, which requires inductive shunt compensation.
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