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 5.14P
A 500-km, 500-kV, 60-Hz, uncompensated three-phase line has a positive-sequence series impedance
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A-3-phase transmission line is shown in figure:
.AV:
ΔV,
AVb
AV
-AV₂-
=
-AV
I₁
a
Ib
Voltage drop across the transmission line is given
by the following equation :
I
Z₂ Zm Zm
Zm Zs Zm
Zm Zm Zs
][
Ia
Ib
Ic
Shunt capacitance of the line can be neglect. If
the line has positive sequence impedance of 15
and zero sequence impedance of 48 , then the
values of Z, and Zm will be
S
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
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.
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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- For a single-phase two-conductor line with composite conductors x and y, express the inductance of conductor x in terms of GMD and its GMR.arrow_forwardA 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_forward
- 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.)arrow_forwardOne 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 Yarrow_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_forwardA 132 kV, 60 Hz double circuit 3-phase overhead line with specific spacing valucs shown in the figure below. The phase sequence is ABC with conductor's radius in 0.74 cm. Assume that the total length of line is 1000 meters. Calculate the following parameters; a) Inductance in H/phase/kilometer. b) The inductive reactance in ohm/km. A B C O20cm O 30cm 40cm 6m 6marrow_forwardA-3-phase transmission line is shown in figure: AV₂ AV b AVC -AV₂- 1- = -AV- a I Voltage drop across the transmission line is given by the following equation: I Z₂ Zm Zm Zm Zs Zm Zm Zm Zs ][ Ia Ib C Shunt capacitance of the line can be neglect. If the line has positive sequence impedance of 15 N and zero sequence impedance of 48 , then the values of Z, and Zm will bearrow_forward
- A three phase transposed line is composed of three conductor bundle. The conductors have a diameter of 2.1793 cm and a GMR (r) of 0.8839 cm. The spacing between the conductors in the bundle is 45 cm, and the GMD-18.8988 m. a b 0,0 45- O 0,0 I D D H 2D and the capacitance per phase is C then the GMRC of the line isarrow_forwardIn short transmission line calculations, the effects of the line capacitance are neglected because such lines have smaller lengths and transmit power at relatively low voltages (< 20 kV). Select one: a. True O b. False O c. None of the abovearrow_forwardSolve this math : A 210-km, 192-KV, 60 Hz three-phase line has a positive-sequence series impedance z= 0.06+j0.4 Ω/km and a positive-sequence shunt admittance y= j4.33 X 10-6 S/km. At full load, the line delivers 200 MW at 0.92 p.f. lagging and at 185 KV. Using the nominal π circuit, calculate: (a) the ABCD parameters, (b) the sending end voltage and current, and(c) the percent of voltage regulation. Also explain, in which case the voltage regulation would be negative and why. Note: In the below i have added similer type of math and its ans.In the above math, there is just changes of values. Now solve the math according to the given way solve the math. A 200-km, 230-KV, 60 Hz three-phase line has a positive-sequence series impedance z= 0.08+j0.48 Ω/km and a positive-sequence shunt admittance y= j3.33 X 10-6 S/km. At full load, the line delivers 250 MW at 0.99 p.f. lagging and at 220 KV. Using the nominal π circuit, calculate: (a) the ABCD parameters, (b) the sending-end voltage and…arrow_forward
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