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GATE 2024 Power Systems Foundation Quiz 35

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Question 1

A step wave travelling on a line of surge impedance Zc = 200 Ω is terminated with a capacitor of 8 mF as shown in the figure below. Determine the transmitted voltage Vt.

Question 2

A travelling wave with an incident voltage ‘V’ travel through the overhead line of surge impedance of 400 Ω and enters a cable of surge impedance of 40 Ω. The transmitted voltage at the cable junction is______V.

Question 3

A travelling wave of magnitude 100 V in transmission line of surge impedance 400 Ω passes into a cable of surge impedance 50 Ω. What will be the magnitude of the wave while travelling in the cable?

Question 4

An inductance of 800 μH connects two sections of a transmission line each having a surge impedance of 200Ω. A 500 kV, 2μ see rectangular surge travels along the line towards the inductance. What is the maximum value of the transmitted wave?

Question 5

A 50 Hz, three-phase, 400 km transmission line has the following parameters.

inductance = 1.1 mH/km per phase

capacitance = 0.012 μF/km per phase

If the line is supplied at 275 kV under no-load condition.

(1) VR = 188.37 kV (line to line)

(2) VR = 188.37 kV/phase

(3) wave velocity = 2.75 × 108 m/sec

(4) voltage rise = 39.48 kV/phase

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Apr 16ESE & GATE EE