Transmission Lines

The capacitance between any two conductors of a three-phase, three- conductor cable is 2 μF. The cable operates at 11 kV line voltage and 50 Hz. What is the charging current through the cable capacitance?

The conductors of a three-phase transmission line are arranged in the form of an equilateral triangle with sides of 6 m each. If the conductors are 500 mils in diameter and the line is 25 km long, what is its inductance per phase?

A 10-km long, single-phase short transmission line has \(0.5\angle 60^\circ\) Ω/km impedance. The line supplies a 316.8 kW load at 0.8 power factor lagging. What is the voltage regulation if the receiving end voltage is 3.3 kV?

Determine the total inductance of a single-phase overhead transmission line 10 km long. The diameter of each conductor is 0.8 cm and the distance between them is 1.2 meters.

A 100 km transmission line has a 1,000 ohms shunt reactance. What is the per km shunt reactance?

A 115 kV three-phase transposed transmission line is composed of 2-ACSR 336,400 cmil, 30/7 Oriole conductor per phase with horizontal configuration: \(D_{12}\) = 7 ft, \(D_{23}\) = 7 ft, \(D_{13}\) =14 ft. The line spacing is measured from the center of the bundled conductors. The distance between the conductors of the bundle is 6 inches. The conductors have a diameter of 0.741 inch and a GMR of 0.02255 ft. Find the capacitance per phase for 20 km of the line in microfarads.

A string insulator has 6 units. The voltage across the bottom most unit is 20% of the total voltage. Its string efficiency is

A 345 kV transmission line has a series impedance of 4 + j60 Ω and a shunt admittance of \(j2 \times 10^{-3}\) S. Using 100 MVA and the line voltage as base values, calculate the per unit shunt admittance of the line.

The conductors of a three-phase transmission line are arranged in the form of an equilateral triangle with sides of 6 m each. If the conductors are 500 mils in diameter and the line is 25 km long, what is its inductance per phase?

The capacitance between any two conductors of a three-conductor cable, with the third conductor grounded, is 0.6 μF/km. Calculate the capacitance per phase (to neutral) of a 25-km length of the cable.

A 100-km transmission line has a 1,200 Ω shunt reactance. What is the per km shunt reactance?

A short 3Φ transmission line with an impedance of 6 + j8 Ω per phase has sending and receiving end voltages of 120 kV and 110 kV respectively for some receiving end load at a p.f. of 0.9 lagging. Determine the sending end power factor.

A 60 kV, three-phase short transmission line is 16 km long. The line has a per phase series impedance of 0.125 + j0.4375 ohm per km. Determine the transmission efficiency when the line delivers 70 MVA, 0.80 lagging power factor at 64 kV.

A three-phase 60 Hz transposed 230 kV transmission line has a horizontal configuration with \(D_{ab} = D\), \(D_{bc} = D\) and \(D_{ac} = 2D\). The line reactance is 0.486 ohm per km. The conductor GMR is 2.0 cm. What is the phase spacing D?

A single-phase, 10-km transmission line has a 16.65 mH total inductance. If the distance between the conductors is 1.0 m, what is the conductor radius?

A 3-phase, 60 Hz, 230 kV transposed transmission line is composed of two 1,272 MCM 54/19 conductors per phase with horizontal configuration. The bundle conductors are 50 cm apart, while the phase spacing between the centers of the bundles is 10 meters. If the GMR of the ACSR conductors is 0.0466 ft, find the inductive reactance in ohm/km/phase of the line.

A short 230 kV transmission line has an impedance of \(10\angle 80^\circ\) Ω. The sending end supplies 150 MW at 230 kV and 82% power factor. What is the voltage at the other end?

A three-phase 60 Hz line has flat horizontal spacing. The conductors have an outside diameter of 3.28 cm with 12 m between conductors. Determine the capacitive reactance of the line to neutral if its length is 125 miles.

The capacitive reactance of a transmission line is 90,000 ohms per kilometer. Find the total capacitive reactance if the transmission line is 50-km long.

In a 3 core cable, the capacitance between two conductors is 3 μF. What will be the capacitance per phase?