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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Textbook Question
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 three-phase tranmission line is 300 Km long and serves a load of 400 MVA,
0.8 lagging power factor at 345 kV. The ABCD constants of the line are
A = D = 0.8180/1.3°
B = 172.2/84.2°
C = 0.001933/90.4° S
a) Determine the sending-end line-to-neutral voltage, the sending-end current
and the percent voltage drop at full load.
b)
Determine the receiving-end line-to-neutral voltage at no load, the sending-
end current at no load and the voltage regulation.
Problem 1
a- Explain the meaning of the term "bundle conductor transmission line" and discuss the effects of its use on the
electrical performance of a high voltage electric transmission line.
b- Consider an experimental 1800 kV three phase bundle-conductor line with parameters A= 0.95 and B=j 70.
Determine the value of the parameter C of the line.
Assume that the line is delivering 2,000 MVA at receiving end whose voltage of 1750 kV and unity power
factor. Determine the sending end voltage of the line.
d-
C-
Determine the sending end current of the line.
1) A 60-Hz, ...-km, three-phase overhead transmission line has a series impedance z = 0.8431L79.04 ohm/km and
a shunt admittance y = 5.105 × 106 L90 S/km. The load at the receiving end is 125 MW at unity power factor
and at 215 KVLL. Determine the voltage, current, real and reactive power at the sending end and the percent voltage
regulation of the line for nominal pi network.
(Please determine the length of the transmission line within the specified limits: 150-220 km. By considering the length
value you determined yourself, solve the question.)
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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- Transmission line conductance is usually neglected in power system studies. True Falsearrow_forwardA 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 60-Hz, 230-mile, three-phase overhead transmission line has a series impedance z = 0.8431279.04° 0/mi and a shunt admittance y = 5.105 x 10-6290° S/mi. The load at the receiving end is 174 MW at unity power factor and at 215 kV. Using per-unit calculations, determine the sending-end line-to-line voltage (in kV) and line current (in A). (Enter the magnitudes. Use a base of 174 MVA and 215 kV.) voltage 154.2 current x kv Aarrow_forward
- A three phase 50 Hz transmission line has impedance of (25.3+ j66.5) ohms and a shunt admittance of 4.42 x 104 mho per phase. If it delivers a load of 50 MW at 220 kV at 0.8 power factor lagging, determine the sending end voltage (a) by short line approximation (b) nominal II method (c) exact transmission line equations.arrow_forwardA 3 phase, 50 HZ, transmission line represented by TI-model and having the following parameters, A= 0.95L 1° and B = 100L 80°. The line supplies a full load of 80 MW at 220 KV and 0.8 lagging power factor. Determine the following (w a. The elements of the tra. ssion line matrix C and D. b. The values of the line parameters R, L, Rsh and Csh- c. The sending end complex power and power factor. d. The voltage regulation. e. The equivalent transmission line matrix if another line with parameters Z = 7+j70 O/phase and Y = j0.00 S/nhase is connected in parallel with the existing line. h 4 decimal places):arrow_forward0.20 + j0.50 /km. The load at the receiving end absorbs 10 MVA at 33 kV. 9.29 A three-phase, 34.5-kV, 60-Hz, 40-km transmission line has a series impedance z = 0.20 + j0.500/km. The load at the receiving end absorbs 10 MVA at 29 Calculate the following: %3D a. ABCD parameters b. Sending-end voltage at a power factor of 0.9 lagging c. Sending-end voltage at a power factor of 0.9 leadingarrow_forward
- Consider the following statements: Surge impedance loading of a transmission line can be increased by 1. increasing its voltage level 2. addition of lumped inductance in parallel 3. addition of lumped capacitance in series 4. reducing the length of the line Which of these statements are correct? (a) 1 and 3 (b) 1 and 4 (c) 2 and 4 (d) 3 and 4arrow_forwardA 3-phase, 132 kV, 50 Hz, and 200 km line has a resistance of 0.0765 ohm per km per phase, inductance of 0.605 mH per km per phase, and shunt admittance is 4.79 nF per km per phase. It delivers 40 MVA at 0.8 power factor lagging. Find the voltage regulation and transmission efficiency. Use nominal n circuit. --------arrow_forward2. A balanced load of 30 MW is supplied at 132 kV, 50 Hz and 0-85 p.f. lagging by means of a transmission line. The series impedance of a single conductor is (20 +j52) ohms and the total phases-neutral admit- tance is 315 mnicrosiemens. Shunt leakage may be neglected. Using the nominal T approximation, calculate the line voltage at the sending end of the line. If the load is removed and the sending end voltage remains constant, find the percentage rise in voltage at the receiving end. [143 kV; 9%]arrow_forward
- A balanced load of 30 MW is supplied at 132 kV, 50 Hz and 0.85 p.f. lagging by means of a transmission line. The series impedance of a single conductor is (20+ j52) ohms and the total phases-neutral admittance is 315 micro-siemens. Shunt leakage may be neglected. Using the nominal T approximation, calculate the line voltage at the sending end of the line. 133 kV 145 kV 149 KV 147 kV 140 kV 143 kV 138 kV 135 kVarrow_forward2. A balanced load of 30 MW is supplied at 132 kV, 50 Hz and 0-85 p.f. lagging by means of a transmission line. The series impedance of a single conductor is (20 + j52) ohms and the total phases-neutral admit- tance is 315 microsiemens. Shunt leakage may be neglected. Using the nominalT approximation, calculate the line voltage at the sending end of the line. If the load is removed and the sending end voltage remains constant, find the percentage rise in voltage at the receiving end.arrow_forward2. A balanced load of 30 MW is supplied at 132 kV, 50 Hz and 0-85 p.f. lagging by means of a transmission line. The series impedance of a single conductor is (20 + j52) ohms and the total phases-neutral admit- tance is 315 microsiemens. Shunt leakage may be neglected. Using the nominal T approximation, calculate the line voltage at the sending end of the line. If the load is removed and the sending end voltage remains constant, find the percentage rise in voltage at the receiving end.arrow_forward
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