GATE EE 2019 Set 1 — Question 59
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Power Systems → Transmission Line Performance → Ferranti Effect
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Question
A three-phase , transmission line is long. The line inductance is per phase, and the capacitance is per phase. The line is under open circuit condition at the receiving end and energized with at the sending end, the receiving end line voltage in kV (round off to two decimal places) will be ________.
Correct answer
414 to 423
Solution
For a long transmission line under open-circuit conditions at the receiving end, the receiving end voltage is related to the sending end voltage by:where is the phase constant and is the length of the line.
Given:
Assuming a lossless line, the phase constant is:The electrical length is:The receiving end voltage is:Rounding to two decimal places, we get .
Given:
Assuming a lossless line, the phase constant is:The electrical length is:The receiving end voltage is:Rounding to two decimal places, we get .
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