Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN: 9781305632134
Author: J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher: Cengage Learning
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Chapter 5, Problem 5.1P
A 30-km, 34.5-kV, 60-Hz, three-phase line has a positive-sequence series impedance
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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?
A 3 phase, 50 Hz, 150 km line has a resistance, inductive reactance and capacitive shunt admittance of 0.1Ω, 0.5Ω, and 3 x 10-6 S per km per phase. If the line delivers 50 MW at 110 kV and 0.8 pf lagging,
Using nominal "T" method, determine:
a. Sending end current
b. Line value of the sending end voltage
c. Transmission efficiency
d. Voltage regulation
e. Sending end power factor
The 100-km,230-kV, 60Hz. three-phase line in Problems 4.18 and 4.39 delivers 300MVA at 218kV to the receiving end at full load. Using the nominal Π 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 50°C conductor temperature to determine the resistance of this line.
Chapter 5 Solutions
Power System Analysis and Design (MindTap Course List)
Ch. 5 - Representing a transmission line by the two-port...Ch. 5 - The maximum power flow for a lossy line is...Ch. 5 - Prob. 5.21MCQCh. 5 - A 30-km, 34.5-kV, 60-Hz, three-phase line has a...Ch. 5 - A 200-km, 230-kV, 60-Hz, three-phase line has a...Ch. 5 - The 100-km, 230-kV, 60-Hz, three-phase line in...Ch. 5 - The 500-kV, 60-Hz, three-phase line in Problems...Ch. 5 - A 40-km, 220-kV, 60-Hz, three-phase overhead...Ch. 5 - A 500-km, 500-kV, 60-Hz, uncompensated three-phase...Ch. 5 - The 500-kV, 60-Hz, three-phase line in Problems...
Ch. 5 - A 350-km, 500-kV, 60-Hz, three-phase uncompensated...Ch. 5 - Rated line voltage is applied to the sending end...Ch. 5 - A 500-kV, 300-km, 6()-Hz, three-phase overhead...Ch. 5 - The following parameters are based on a...Ch. 5 - Consider a long radial line terminated in its...Ch. 5 - For a lossless open-circuited line, express the...Ch. 5 - A three-phase power of 460 MW is transmitted to a...Ch. 5 - Prob. 5.55PCh. 5 - Consider the transmission line of Problem 5.18....Ch. 5 - Given the uncompensated line of Problem 5.18, let...
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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.arrow_forwardA 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.arrow_forwardA 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.arrow_forward
- 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.arrow_forwardThe 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.arrow_forwardConsider 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.arrow_forward
- 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.arrow_forwardCalculate 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.arrow_forwardConsider the transmission line of Problem 5.18. (a) Find the ABCD parameters of the line when uncompensated. (b) For a series capacitive compensation of 70 (35 at the sending end and 35 at the receiving end), determine the ABCD parameters. Comment on the relative change in the magnitude of the B parameter with respect to the relative changes in the magnitudes of the A, C, and D parameters Also comment on the maximum power that can be transmitted when series compensated.arrow_forward
- A conventional nominal T transmission line is composed of the following: a lumped shunt (parallel) impedance of 92 ohms at the center of the line and a lumped sending and receiving series impedance of 496 ohms for both ends. In a two-port network analysis, determine the Z12 parameter of the circuit described.arrow_forwardQuestion 1. The impedance of a 150 km long transmission line is ? = 0.06 + ?0.48 ?/??, and the shunt admittance value is given as ? = ?3.33?10−6 ?/??. Under 250 kV voltage at the end of the line A power of 250 MW is drawn with a reverse power factor cos ? = 0.95. Nominal π equivalent using the circuit; a) Find the ABCD parameters. b) Find the voltage, current and power factor per line.arrow_forwardA single circuit 60 Hz transmission line. the conductors are Linnet type with flat horizontal spacing of 17.46 feet between conductors. Determine: (a) Assume that the line is short with a length of 50 miles, calculate the parameters of the line and draw the equivalent circuit. (b) Assume that the line is average with length of 150 miles (Pi-nominal model). draw the pi-nominal circuit for the transmission line and calculate its parameters (Z and Y/2 values, where Z is the series impedance of the transmission line and Y is the shunt admittance).arrow_forward
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