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 5.26P
A 350-km, 500-kV, 60-Hz, three-phase uncompensated line has a positive-sequence series reactance
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One circuit of a single-phase transmission line is composed of three solid 0.5 cm radius wires. The
return circuit is composed of two solid 2.5 cm radius wires. The arrangement of conductors is as shown
in the following figure. Applying the concept of GMD and GMR, find the inductance of the complete
line in mH per km.
5 m
5 m
10 m
5 m
Conductor X
Conductor Y
One circuit of a single-phase transmission line is
composed of three solid 0.12" radius wires. The
return circuit is composed of two 0.15" radius wires.
Find the inductance of the complete line in mH/mi.
The distance between wires are 40" horizontally and
25" vertically.
A. 2.54 mH/mi
B. 2.478 mH/mi
C. 2.488 mH/mi
D. 2.567 mH/mi
Provide Clear Explaination
17.) A single-circuit three-phase transposed transmission line is composed of four
bundled ACSR Falcon as shown in the figure below. The bundle spacing is 30 cm.
30 cm+
-D12 = 15 m-
D23
= 15 m
D13 = 30 m
A.) Calculate the inductance per phase per kilometer
B.) Calculate the capacitance per phase per kilometer of the line.
C.) If the conductor is replaced with a two bundled conductor and the inductance
per phase is 60% of the inductance from Part A, what would be the new self-
GMR of the conductor.
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 single-phase overhead transmission line consists of two solid aluminum conductors having a radius of 3 cm with a spacing 3.5 m between centers. (a) Determine the total line inductance in mH/m. (b) Given the operating frequency to be 60 Hz, find the total inductive reactance of the line in /km and in/mi. (c) If the spacing is doubled to 7 m, how does the reactance change?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_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_forward
- In terms of line-to-line capacitance, the line-to-neutral capacitance of a single-phase transmission line is Same Twice One-halfarrow_forwardA single-phase transmission line consisting of two conductors, the radius of each conductor is 0.4 cm, the distance between the conductors is three and half meters and the height above ground is eight meter. Determine 1)The capacitance in uF/km without effect of ground 2)The capacitance in uF/km with effect of groundarrow_forwardA 220 kV, 50 Hz, three-phase transmission line is 60 km long. The resistance per phase is 0.15 ohms/km and the inductance per phase is 1.3 mH per km and the shunt capacitance is negligible. Use the short line model to determine; i) the voltage and power at the sending end ii) voltage regulation and efficiency when the line is supplying a three-phase load of 350 MVA, 220 kV at a power factor of 0.85 lagging.arrow_forward
- 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.arrow_forwardb) 100 km, 132 kV, 50 Hz transmission line has per phase resistance R=0.036 (Q/km). The conductors of this line are arranged as shown in the Figure 4, determine: 13 т 13 m di 9. a di di di ri=2 cm dı = 40 cm Figure 4 i. Geometric Mean Distance (GMD), Geometric Mean Radius (GMR1) and Geometric Mean Radius (GMRC) ii. Inductance and Capacitance of the line Series Impedance (Z) and Shunt Admittance (Y) of the line iv. Transmission line equivalent circuit. V. ABCD valuesarrow_forwardProblem 2. A three-phase transmission line at 60 Hz has its conductors in an asymmetrical triangular arrangement triangular asymmetrical arrangement, where the distances between conductors are 25, 25, and 42 ft. Determine the capacitance to neutral in μF/mi and the capacitive reactance to neutral in ohms-miles. If the line is 150 miles long, find the total reactance in ohms. The conductor diameter is 0.879arrow_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 three phase 50 Hz transmission line with a length of 150 km is connected to a load of 1.5 MW with 0.85 lagging power factor at 132 kV. The line conductor has series parameter of 0.25 + j0.48 Q/km and shunt parameter of 3.25 x 10° mho/km. Given that the conductors of the line are arranged symmetrically, calculate (i) the sending end current and voltage using pi-circuit representations for the line. (ii) line efficiency.arrow_forwardProblem 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.arrow_forward
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