Transmission Lines

A 3-phase line has a reactance of 4.32 ohms and a resistance of 4.15 ohms. The load at the receiving end is 3800 kW at 75% power factor lagging and the voltage at the sending end is 36 kV. Determine the voltage at the receiving end.

A transmission line has two aluminum conductors in bundle. The self GMD of each conductor is 8.90 mm and the distance between the conductors and phase is 40 cm and 9 m, respectively. What is the inductance of the line per phase?

A string of four insulators has a self-capacitance equal to 5 times of pin to earth capacitance. Find the string efficiency.

A uniform 2 wire dc distributor 500 meters long is loaded with 0.4 ampere/meter and is fed at one end. If the maximum permissible voltage drop per wire is not to exceed 10 V, find the cross-sectional area of the distributor. Take \(\rho = 1.7 \times 10^{-6}\) Ω-cm.

A 115 kV three-phase transposed transmission line is composed of 2-ACSR 336,400 cmil, 30/7 Oriole conductors per phase with horizontal configuration: \(D_{12}\) = 7 ft, \(D_{23}\) = 7 ft and \(D_{13}\) = 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 GMR of 0.02255 ft. Find the capacitance per phase for 20 km of the line in μF.

It is desired to deliver 4,000 kW, three-phase at a distance of 25 miles. The load voltage being 33 kV, 60 Hz and the power factor of the load being 85% lagging. The reactance of the line per phase is 0.692 ohm per mile. The line loss is 10% of the power delivered. What is the voltage regulation of the line?

A three-phase, 60 Hz, transmission line has its conductors arranged in a triangular configuration so that the two distances between conductors are 7.62 m and the third is 12.8 m. The conductors are Dove with GMR of 0.0314 ft. If the line is 60km long, what is the inductive reactance of the line?

An unconventional conductor consists of three strands arranged vertically. Find the GMR in terms of the radius r of an individual strand.

A 40 mile, 60 cycle single-phase line consists of two 000 conductors spaced 5 ft apart. Determine the charging current if the voltage between wires is 33 kV. The diameter of 000 conductors is 410 mils.

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 respectively. If the line conductors have a GMR of 0.0217 ft, determine the capacitive susceptance to neutral per mile.

A short 3-phase, 3-wire transmission line has an impedance of 3 + j4 ohms per wire. At the receiving end are connected a 3-phase inductive load drawing 3,500 kW at 0.8 power factor and line to line voltage of 13,200-volt and a capacitor bank drawing 150 amperes line current. Calculate the voltage at the sending end.

The terminal voltage of a Y-connected load consisting of three equal impedances of \(20\angle 30^\circ\ \Omega\) is 4.4 kV line to line. The impedance in each of the three lines connecting the load to a bus at a substation is \(Z_L = 1.4\angle 75^\circ\ \Omega\). Find the line to line voltage at the substation bus.

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, respectively. If the line conductors have a GMR of 0.0217 ft, determine the capacitive susceptance to neutral per mile.

A short 230 kV transmission line has an impedance of \(5\angle 78^\circ\) ohms. The sending end power is 100 MW at 230 kV and 85% power factor. What is the voltage at the other end?

A short 3Φ line with an impedance of 6 + j8 ohms per line has sending and receiving end line voltages of 120 and 110 kV, respectively, for some receiving end load at a p.f. of 0.9 lagging. The active power at the receiving end is nearest to

Each conductor of a horizontally arranged two- conductor bundle line is ACSR, 1,272 MCM Pheasant. The spacing between bundle centers is 8m, 8m and 16m and between bundle conductors is 45 cm. Find the inductive reactance of the line in ohms per km per phase if GMR of each conductor is 0.0466 ft.

Find the capacitive susceptance per mile of single-phase line operating at 60Hz. The conductor is partridge with an outside diameter of 0.642in and spacing is 20ft. between centers.

A three-phase transmission line of a two-conductor bundle is arranged horizontally with a spacing of 8 m between bundle centers. Each conductor is ACSR, 1,272,000 cmils Pheasant with GMR of 0.0466 ft. the spacing between conductors of bundle is 45 cm. Find the per unit series reactance of the line if its length is 160 km and base is 100 MVA, 345 KV.

Find the capacitive susceptance per mile of a single-phase line operating at 60 HZ. The conductor is Partridge with an outside diameter of 0.642 in, and spacing is 20 ff between centers.

The conductors of a 30 km long transmission line have a triangular configuration. The conductors are placed 4 ft apart. Each conductor has 336.4 MCM ACSR and its diameter is 0.75 inch. Find the capacitive reactance per phase?