Transmission Lines

A three-phase double circuit line has a horizontal spacing of 40 ft and a vertical spacing between adjacent levels of 25 ft. Determine the mutual GMD of the line.

A 230 kV transmission line is 100 miles long. The conductor is ACSR of 1,113,000 CM. The conductors are horizontally arranged with 20 ft spacing. The resistance per mile is 0.0969 ohm and its GMR is 0.0435 ft. What is the impedance of the line?

A 34.5 kV feeder line is 5 miles long. The conductors are space 4 feet horizontally. The conductor is 4/0 copper with GMR of 0.01668 ft. What is the reactance?

A 5 km long, three-phase line has a horizontal configuration of 4 ft spacing. The conductor is 336.4 MCM ACSR with GMR of 0.0244 ft and a resistance of 0.306 ohm per mile. What is the impedance?

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 single-circuit, 3-phase, 60 Hz transmission is using a horizontal arrangement with a spacing distance of 4 m between adjacent conductors. If each conductor has an outside diameter of 0.8 cm, determine the capacitance to neutral per meter.

A single-phase transmission line has total impedance of \(1.5 + j0.3\) ohms. It delivers 3 MW at 11 kV and at unity power factor. Determine the sending end voltage of the transmission lines.

A single-phase transmission line has total impedance of \(5 \angle 60^\circ\) ohms and supplies a total load of 120 A, 3.3 kV and at 0.8 power factor lagging. Calculate the sending end voltage.

A 3-phase, 3-wire, short transmission line has a resistance of 3 ohms and a reactance of 8 ohms per wire. At the receiving end, a balanced 3-phase load draws a line current of 60 A, at 13,500 volts line to line, 0.90 power factor lagging. Determine the voltage at the sending end.

A load of 12 MVA, 0.8 pf lagging, 22 kV is served by a transmission line which has a line resistance of 3 ohms and a line reactance of 10 ohms. Solve for the sending end voltage.

A short 3-phase, 3-wire line has a resistance of 5 ohms and reactance of 12 ohms per wire and transmit power to a 3-phase load drawing 1000 kW at 13,120 volts line to line, 0.8 pf lagging, 60 Hz. Solve for the sending end voltage.

Two No. 8 copper conductors are placed 15 cm apart with a GMR of \(1.27 \times 10^{-3}\) m. If the length of the line is 4 km, find the value of the line inductance.

A 15MW, 132 kV, 80%power factor three phase load is to be served by a transmission line having conductors whose resistance is 0.5 ohm/km. If the losses on the line shall not exceed 4.5%, how long must this line be?

A certain station in Luzon has 36 kV, 3-phase, is to supply 12 MW load at 30 kV and 0.8 p.f. lagging over a 3-phase transmission line. Find the resistance of the line if the length of the transmission line is 4,000 meters and the efficiency is 90%.

A transmission line has a total series impedance of 40 + j125 ohms and a total shunt admittance of \(10^{-3}\) mho. Determine the constant D of the line.

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?

A single-circuit three-phase line operated at 60 Hz is arranged in a triangular configuration with distances of 20 ft., 20ft. and 38 ft. between conductors, the conductors are ACSR Drake with GMR of 0.0373 ft. Find the inductive reactance per mile per phase.

A single phase transmission line has a total impedance of \(5\angle 60^\circ\) ohms and supplies a total load of 120 A at 3.3 kV and 0.8 power factor lagging. Calculate the sending end voltage.

A 3- phase overhead transmission line is being supported by three disc insulators. The potentials across top unit and middle unit are 8 KV and 11 KV, respectively. Calculate the ratio of capacitance between pin and earth to the self- capacitance between pin and earth to the self-capacitance of each unit.

A single-phase transmission line has a total resistance of 1.5 Ω and a loop reactance of 0.3 Ω. It delivers 2 MW at 11 kV at a power factor of 0.8 lagging. Calculate the line voltage at the sending end.