GATE EE 2017 Set 2 — Question 24
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Power Systems → Transmission Line Performance → Short, Medium & Long Line Models
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Question
The nominal- circuit of a transmission line is shown in the figure.
Impedance and reactance . The magnitude of the characteristic impedance of the transmission line, in , is ______. (Give the answer up to one decimal place.)
Correct answer
404 to 409
Solution
For a nominal- model of a transmission line, the series impedance is and the total shunt admittance is . The shunt arms in the model represent each.
1.Given the reactance of each shunt arm is , the admittance of each arm is .
2.Therefore, the total shunt admittance magnitude is .
3.The characteristic impedance is approximately given by .
4.The magnitude is .
5.Rounding to one decimal place, we get .
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