A 60-Hz, 230-km, three-phase overhead transmission line has a series impedance z = 0.8431/79.04° N/km and a shunt admittance y= 5.105 × 10-6/90° S/km. The load at the receiving end is 125 MW at unity power factor and at 215 kV. Determine the voltage, current, real and reactive power at the sending end and the percent voltage regulation of the line. Also find the wavelength and velocity of propagation of the line.

A 60-Hz, 230-km, three-phase overhead transmission line has a series impedance z = 0.8431/79.04° N/km and a shunt admittance y= 5.105 × 10-6/90° S/km. The load at the receiving end is 125 MW at unity power factor and at 215 kV. Determine the voltage, current, real and reactive power at the sending end and the percent voltage regulation of the line. Also find the wavelength and velocity of propagation of the line.

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter5: Transmission Lines: Steady-state Operation

Section: Chapter Questions

Problem 5.18P

See similar textbooks

Similar questions

Consider a long radial line terminated in its characteristic impedance Zc. Determine the following: (a) V1/I1, known as the driving point impedance. (b) | V2 |/V1|, known as the voltage gain, in terms of al. (c) | I2 |/| I1 |, known as the current gain, in terms of al. (d) The complex power gain, S21/S12, in terms of al. (e) The real power efficiency, (P21/P12)=, terms of al. Note: 1 refers to sending end and 2 refers to receiving end. (S21) is the complex power received at 2; S12 is sent from 1.
The 500-kV, 60-Hz, three-phase line in Problems 4.20 and 4.41 has a 180-km length and delivers 1600 M W at 475 kv and at 0.95 power factor leading to the receiving end at full load. Using the nominal circuit, calculate the (a) ABCD parameters, (b) sending-end voltage and current, (c) sending-end power and power factor, (d) full-load line losses and efficiency, and (e) percent voltage regulation. Assume a 50C. conductor temperature to determine the resistance of this line.
Calculate the capacitance-to-neutral in F/m and the admittance-to-neutral in S/km for the three-phase line in Problem 4.18. Also calculate the line-charging current in kA/phase if the line is 110 km in length and is operated at 230 kV. Neglect the effect of the earth plane.
Transmission line conductance is usually neglected in power system studies. True False
A 200-km, 230-kV, 60-Hz, three-phase line has a positive-sequence series impedance z=0.08+j0.48/km and a positive-sequence shunt admittance y=j3.33106S/km. At full load, the line delivers 250 MW at 0.99 p.f. lagging and at 220 k V. Using the nominal circuit, calculate: (a) the ABCD parameters, (b) the sending-end voltage and current, and (c) the percent voltage regulation.
A three-phase overhead transmission line is designed to deliver 190.5 M VA at 220 kV over a distance of 63 km, such that the total transmission line loss is not to exceed 2.5 of the rated line MVA. Given the resistivity of the conductor material to be 2.84108-m, determine the required conductor diameter and the conductor size in circular mils. Neglect power losses due to insulator leakage currents and corona.
A 30-km, 34.5-kV, 60-Hz, three-phase line has a positive-sequence series impedance z=0.19+j0.34/km. The load at the receiving end absorbs 10 MVA at 33 kV. Assuming a short line, calculate: (a) the ABCD parameters, (b) the sending-end voltage for a load power factor of 0.9 lagging, and (c) the sending-end voltage for a load power factor of 0.9 leading.
A small manufacturing plant is located 2 km down a transmission line, which has a series reactance of 0.5/km. The line resistance is negligible. The line voltage at the plant is 4800V(rms). and the plant consumes 120kW at 0.85 power factor lagging. Determine the voltage and power factor at the sending end of the transmission line by using (a) a complex power approach and (b) a circuit analysis approach.
The 500-kV, 60-Hz, three-phase line in Problems 4.20 and 4.41 has a 300-km length. Calculate: (a) Zc, (b) (l), and (c) the exact ABCD parameters for this line. Assume a 50C conductor temperature.
If the per-phase line loss in a 70-km-long transmission line is not to exceed 65 kW while it is delivering 100 A per phase, compute the required conductor diameter if the resistivity of the conductor material is 1.72108-m.
Three ACSR Drake conductors are used for a three-phase overhead transmission line operating at 60 Hz. The conductor configuration is in the form of an isosceles triangle with sides of 20, 20, and 38 ft. (a) Find the capacitance-to-neutral and capacitive reactance-to-neutral for each 1-mile length of line. (b) For a line length of 175 mi and a normal operating voltage of 220 kV, determine the capacitive reactance-to-neutral for the entire line length as well as the charging current per mile and total three-phase reactive power supplied by the line capacitance.