Transmission Lines

A 3 phase, 60 Hz transposed transmission line is arranged horizontally with distances \(D_{12} = 5\) ft, \(D_{23} = 5\) ft and \(D_{13} = 10\) ft. The outside diameter of the conductors is 0.721 inch and the GMR is 0.0243 ft. Determine the capacitance per phase of the line in microfarad per kilometer.

The capacitance per kilometer of a 3-phase belted cable is 0.3μF between the two cores with the third core connected to the lead sheath. Calculate the charging current taken by the five kilometers of this cable when connected to a 3-phase 50 Hz, 11kV supply.

Find the capacitive susceptance per mile to neutral of a single-phase line operating at 60 Hz. The conductor is Partridge with an outside diameter of 0.642 inch, and spacing is 20 ft between centers.

Estimate the distance over which a load of 150 MW at a power factor of 0.8 lagging can be delivered by a three phase transmission line having conductors each of resistance 0.1 ohm per kilometer. The voltage at the receiving end is to be 132 kV and the loss in the transmission is to be 5% of the power delivered.

A conductor has four identical strands arranged in diamond configuration. Find the GMR of the conductor in terms of the radius r of each strand.

A three phase, 60Hz, transmission line has its conductors arranged in a triangular configuration so that the two distances between conductors are 5m and the third is 8m. the conductors have an outside diameter of 250 mils. Find the inductive reactance in ohm per km per phase of the transmission line.

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 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 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 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 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.

A 170-mile, 230 kV, 60 Hz, three-phase single circuit transmission line uses a triangular arrangement with 20 ft, 20 ft, and 36 ft spacing. If the line conductors have a radius of 0.0217 ft, determine the capacitive susceptance to neutral per mile.

A single-phase transmission line having a length of 15 miles is composed of two copper conductors spaced 7 ft apart having a diameter of 0.575 inch. Determine the line to line capacitance in farad if the system frequency is 60 Hz.