3. A 36, 345 kV, 60 Hz, 60 km transmission line has a series impedance z = 0.005 + j0.10 N/km. The load at the receiving end absorbs 54 MVA at 340.5 kV. Using the receiving end line-neutral voltage VR as the reference, calculate the following: (a) ABCD parameters (b) Sending end line-neutral voltage for a load power factor of 0.9 lagging (c) Sending end line-neutral voltage for a load power factor of 0.9 leading

3. A 36, 345 kV, 60 Hz, 60 km transmission line has a series impedance z = 0.005 + j0.10 N/km. The load at the receiving end absorbs 54 MVA at 340.5 kV. Using the receiving end line-neutral voltage VR as the reference, calculate the following: (a) ABCD parameters (b) Sending end line-neutral voltage for a load power factor of 0.9 lagging (c) Sending end line-neutral voltage for a load power factor of 0.9 leading

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 5.1P: A 30-km, 34.5-kV, 60-Hz, three-phase line has a positive-sequence series impedance z=0.19+j0.34/km....

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A 40-km, 220-kV, 60-Hz, three-phase overhead transmission line has a per-phase resistance of 0.15/km, a per-phase inductance of 1.3263 mH/km, and negligible shunt capacitance. Using the short line model, find the sending-end voltage, voltage regulation, sending-end power, and transmission line efficiency when the line is supplying a three-phase load of (a) 381 MVA at 0.8 power factor lagging and at 220 kV and (b) 381 MVA at 0.8 power factor leading and at 220 kV.
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.
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.
A 350-km, 500-kV, 60-Hz, three-phase uncompensated line has a positive-sequence series reactance x=0.34/km and a positive-sequence shunt admittance y=j4.5106S/km. Neglecting losses, calculate: (a) Zc,. (b) l, (c) the ABCD parameters, (d) the wavelength of the line in kilometers, and (e) the surge impedance loading in MW.
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 100-km, 230-kV, 60-Hz, three-phase line in Problems 4.18 and 4.39 delivers 300 M VA at 218 kv to the receiving end at full load. Using the nominal circuit, calculate the ABCD parameters, sending-end voltage, and percent voltage regulation when the receiving-end power factor is (a) 0.9 lagging, (b) unity, and (c) 0.9 leading. Assume a 50C conductor temperature to determine the resistance of this line.
The following parameters are based on a preliminary line design: per unitVS=1.0, VR=0.9 per unit, =5000km,Zc=320,=36.8. A three-phase power of 700 MW is to be transmitted to a substation located 315 km from the source of power. (a) Determine a nominal voltage level for the three-phase transmission line, based on the practical line-loadability equation. (b) For the voltage level obtained in part (a), determine the theoretical maximum power that can be transferred by the line.
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.
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.
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.
A three-phase power of 460 MW is transmitted to a substation located 500 km from the source of power. With VS=1. per unit, VR=0.9 per unit, =5000 km, Zc=500, and =36.87, determine a nominal voltage level for the lossless transmission line based on Eq. (5.4.29) of the text. Using this result, find the theoretical three-phase maximum power that can be transferred by the lossless transmission line.
A 40-km, 220-kV, 60-Hz three-phase overhead transmission line has a per-phase resistanceof 0.15 W/km, a per-phase inductance of 1.3263 mH/km, and negligible shunt capacitance.Using the short line model, find the ABCD parameters. The sending-end voltage, voltageregulation, sending-end power, and transmission line efficiency when the line is supplyinga three-phase load of: (a) 381 MVA at 0.8 power factor lagging and at 220 kV, (b) 381MVAat 0.8 power factor leading and at 220 kV. How does the load type (capacitive or inductive)affect the sending voltage magnitude, voltage regulation and efficiency?