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 4, Problem 4.20P
Calculate the inductive reactance in
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2.5 A 3-phase single circuit bundled conductor line with two sub-conductors per phase has horizontal
spacing with 6.1 m between the centre lines of adjacent phases. The distance between the sub-
conductors of each phase is 30.5 cm and each sub-conductor has a diameter of 2.54 cm. Find the
inductance per phase per km.
[0.988 mH]
(a) A three phase transposed transmission tower comprises of three-bundled conductor and
double-circuit configured in vertical position as shown in Figure 2. Each sub-conductor in
each circuit and each phase is an ACSR type, size 477,000 cmil and stranding 26/7.
Given the GMR of each sub-conductor is 0.8809 cm and diameter is 2.1793 cm, analyze:
i. Inductance in mH/km
ii. Capacitance in µF/km
0.75m
7.5m
b'
4m
4m
45cm
Figure 2
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Three conductors of a 3-phase overhead line are arranged in a horizontal plane in the order a-b-c, distance
between a and b is 6 m, b and c is spaced 6 m apart. The diameter of each line conductor is 2.5 cm. Calculate
the Capacitance per phase per km (L1) for this arrangement. Calculate Capacitance per phase per km(L2) if the
spacing between the conductors are reduced by half. Calculate the Ratio of C2 with respect to C1.
Capacitance in nF per Phase per Km for Arrangement 1 (C1)
Capacitance in nF per phase per km for Arrangement 2 (C2)
Ratio of C2 to C1
A 3-phase, 50 Hz, 60 km long overhead line supplies 1400 kW at 11 kV, 0.7 p.f. lagging. The line resistance is
0.025 Q per phase per km and line inductance is 0.8 mH per phase per km. Calculate the sending end voltage
voltage regulation and efficiency of transmission.
Sending End Voltage
Chapter 4 Solutions
Power System Analysis and Design (MindTap Course List)
Ch. 4 - ACSR stands for Aluminum-clad steel conductor...Ch. 4 - Overhead transmission-line conductors are bare...Ch. 4 - Alumoweld is an aluminum-clad steel conductor....Ch. 4 - EHV lines often have more than one conductor per...Ch. 4 - Shield wires located above the phase conductors...Ch. 4 - Conductor spacings, types, and sizes do have an...Ch. 4 - A circle with diameter Din.=1000Dmil=dmil has an...Ch. 4 - An ac resistance is higher than a dc resistance....Ch. 4 - Prob. 4.9MCQCh. 4 - Transmission line conductance is usually neglected...
Ch. 4 - Prob. 4.11MCQCh. 4 - Prob. 4.12MCQCh. 4 - For a single-phase, two-wire line consisting of...Ch. 4 - For a three-phase three-wire line consisting of...Ch. 4 - For a balanced three-phase positive-sequence...Ch. 4 - A stranded conductor is an example of a composite...Ch. 4 - lnAk=lnAk True FalseCh. 4 - Prob. 4.18MCQCh. 4 - Expand 6k=13m=12Dkm.Ch. 4 - Prob. 4.20MCQCh. 4 - For a single-phase two-conductor line with...Ch. 4 - In a three-phase line, in order to avoid unequal...Ch. 4 - For a completely transposed three-phase line...Ch. 4 - Prob. 4.24MCQCh. 4 - Does bundling reduce the series reactance of the...Ch. 4 - Does r=e14r=0.788r, which comes in calculation of...Ch. 4 - In terms of line-to-line capacitance, the...Ch. 4 - For either single-phase two-wire line or balanced...Ch. 4 - Prob. 4.29MCQCh. 4 - Prob. 4.30MCQCh. 4 - Prob. 4.31MCQCh. 4 - Prob. 4.32MCQCh. 4 - Prob. 4.33MCQCh. 4 - Prob. 4.34MCQCh. 4 - The affect of the earth plane is to slightly...Ch. 4 - When the electric field strength at a conductor...Ch. 4 - Prob. 4.37MCQCh. 4 - Prob. 4.38MCQCh. 4 - Considering two parallel three-phase circuits that...Ch. 4 - The Aluminum Electrical Conductor Handbook lists a...Ch. 4 - The temperature dependence of resistance is also...Ch. 4 - A transmission-line cable with a length of 2 km...Ch. 4 - One thousand circular mils or 1 kcmil is sometimes...Ch. 4 - A 60-Hz, 765-kV, three-phase overhead transmission...Ch. 4 - A three-phase overhead transmission line is...Ch. 4 - If the per-phase line loss in a 70-km-long...Ch. 4 - A 60-Hz, single-phase two-wire overhead line has...Ch. 4 - Prob. 4.9PCh. 4 - A 60-Hz, three-phase three-wire overhead line has...Ch. 4 - Prob. 4.11PCh. 4 - Find the inductive reactance per mile of a...Ch. 4 - A single-phase overhead transmission line consists...Ch. 4 - Prob. 4.14PCh. 4 - Find the GMR of a stranded conductor consisting of...Ch. 4 - Prob. 4.16PCh. 4 - Determine the GMR of each of the unconventional...Ch. 4 - A 230-kV, 60-Hz, three-phase completely transposed...Ch. 4 - Prob. 4.19PCh. 4 - Calculate the inductive reactance in /km of a...Ch. 4 - Rework Problem 4.20 if the bundled line has (a)...Ch. 4 - Prob. 4.22PCh. 4 - Prob. 4.23PCh. 4 - Prob. 4.24PCh. 4 - For the overhead line of configuration shown in...Ch. 4 - Prob. 4.26PCh. 4 - Figure 4.34 shows double-circuit conductors'...Ch. 4 - For the case of double-circuit, bundle-conductor...Ch. 4 - Prob. 4.29PCh. 4 - Figure 4.37 shows the conductor configuration of a...Ch. 4 - Prob. 4.32PCh. 4 - Prob. 4.33PCh. 4 - Prob. 4.34PCh. 4 - Prob. 4.35PCh. 4 - Prob. 4.36PCh. 4 - Prob. 4.38PCh. 4 - Calculate the capacitance-to-neutral in F/m and...Ch. 4 - Prob. 4.40PCh. 4 - Prob. 4.41PCh. 4 - Prob. 4.42PCh. 4 - Three ACSR Drake conductors are used for a...Ch. 4 - Consider the line of Problem 4.25. Calculate the...Ch. 4 - Prob. 4.45PCh. 4 - Prob. 4.46PCh. 4 - Prob. 4.47PCh. 4 - The capacitance of a single-circuit, three-phase...Ch. 4 - Prob. 4.49PCh. 4 - Prob. 4.50PCh. 4 - Prob. 4.51PCh. 4 - Approximately how many physical transmission...Ch. 4 - Prob. BCSQCh. 4 - Prob. CCSQCh. 4 - Prob. DCSQ
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- A 230-kV, 60-Hz, three-phase completely transposed overhead line has one ACSR 954 kcmil conductor per phase and flat horizontal phase spacing, with 7 m between adjacent conductors Determine the inductance in H/m and the inductive reactance in /km.arrow_forwardA 60-Hz, single-phase two-wire overhead line has solid cylindrical copper conductors with a 1.5 cm diameter. The conductors are arranged in a horizontal configuration with 0.5 m spacing. Calculate in mH/km (a) the inductance of each conductor due to internal flux linkages only, (b) the inductance of each conductor due to both internal and external flux linkages, and (c) the total inductance of the line.arrow_forwardA 60-Hz, three-phase three-wire overhead line has solid cylindrical conductors arranged in the form of an equilateral triangle with 4-ft conductor spacing. The conductor diameter is 0.5 in. Calculate the positive-sequence inductance in Wm and the positive-sequence inductive reactance in /km.arrow_forward
- Shield wires located above the phase conductors protect the phase conductors against lightning. True Falsearrow_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_forwardAlumoweld is an aluminum-clad steel conductor. True Falsearrow_forward
- A 60 Hz, three-phase, transposed transmission line, is designed with three bobolink conductors per phase, in horizontal arrangement as shown in the figure below. Distance between consecutive phases is D = 6.2 m and distance among bundle conductors is h =0.5m. Each conductor has a radius of 18 mm and a GMR of 14.39mm. The per phase resistance is 1.677x10-5 2/m. r= 18 mm GMR= 14.39 mm a b h D D The per phase shunt admittance assuming zero conductance in µO/km is: О a., 5.4347 O b. j5.3316 О с /4.2266 O d. j4.0973 O e. 59630.2922 + j10.9770arrow_forwardA three-phase transposed line is composed of one ACSR Bobolink conductor per phase with a horizontal spacing of 11 meters as shown in the figure. phase with a horizontal spacing of 11 meters as shown in the figure. The conductors have a diameter of 3.625 cm and a RMG of 1.439 cm. Calculate the inductance and capacitance to the neutral of the line.arrow_forward3-phase single circuit bundled conductor line with two sub-conductors per phase has horizontalspacing with 6.1 m between the centre lines of adjacent phases. The distance between the subconductorsof each phase is 30.5 cm and each sub-conductor has a diameter of 2.54 cm. Find theinductance per phase per km. [0.988 mh]arrow_forward
- 12. There are 6 conductors in a double circuit line. Each conductor has a radius of 12 mm. The 6conductors are arranged horizontally. The center to center distance between the conductor is 2m. The sequence of conductors are from left to right as follows: a,b.c,a', b', c'. Calculate the inductance per km per phase of system. the a' 2 m 2 m 2 m 2 m 2 marrow_forwardQ1. Figure 1 shows the conductor configuration of a completely transposed three-phase overhead transmission line with bundled phase conductors. All conductors have a radius of 0.74 cm with a 30 cm bundle spacing. a) Determine the inductance per phase in mH/km b) Find the inductive line reactance per phase in 22/mi at 60 Hz. c) Determine the line to neutral capacitance per phase in µF/km A B -30 cm -30 cm 6 m 6m Figure 1: Conductor configuration. 30 cmarrow_forwardA single phase 2 conductor operates at 50Hz, the diameter of each condcutor is 60mm and spacing between condcutor is 5m, find the loop inductance of the line.arrow_forward
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