GATE EE 2016 Set 2 — Question 50
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Power Systems → Transmission Line Performance → Ferranti Effect
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Question
At no load condition, a 3-phase, 50 Hz, lossless power transmission line has sending-end and receiving-end voltages of 400 kV and 420 kV respectively. Assuming the velocity of traveling wave to be the velocity of light, the length of the line, in km, is ____________.
Correct answer
294 to 298
Solution
For a lossless transmission line, the sending-end voltage and receiving-end voltage are related by the Ferranti effect at no-load () as:
Given:
kV
kV
Hz
Velocity of light km/sStep 1: Calculate the phase constant .
rad/kmStep 2: Use the Ferranti effect formula to find the length .
rad
kmThe length of the line is approximately 295.64 km, which falls within the range [294.0, 298.0].
Given:
kV
kV
Hz
Velocity of light km/sStep 1: Calculate the phase constant .
rad/kmStep 2: Use the Ferranti effect formula to find the length .
rad
kmThe length of the line is approximately 295.64 km, which falls within the range [294.0, 298.0].
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