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 4.6P
A three-phase overhead transmission line is designed to deliver 190.5 M VA at 220 kV over a distance of 63 km, such that the total transmission line loss is not to exceed
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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 + j10.9770
Q2. A 3-phase, 132 KV, 50 Hz, 100 Km, single circuit bundle
conductor transmission line as shown in the figure below. If the
diameter of each strand is1 cm, and the conductors are
regularly transposed. Determine, the capacitance to neutral per
phase per Km .
6 m
5 m
0.18 m
(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
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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- Transmission line conductance is usually neglected in power system studies. True Falsearrow_forwardA stranded conductor is an example of a composite conductor. True Falsearrow_forwardA 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_forward
- 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_forwardThe conductor of a single-phase 60-Hz line is a solid round aluminum wire having a diameter of 0.412 cm. The conductor spacing is 3 m. Determiņe the inductance of the line in millihenrys per mile. How much of the inductance is due to internal flux linkages? Assume skin effect is negligible.arrow_forwardConsider the 500 kV, three phase bundled conductor line as shown in the figure below. Find the line to neutral capacitance. 0.5 m 30 mm (0) (O to Ine 15 m 15 marrow_forward
- Three conductors for a 3-phase 60 Hz transmission line are placed in a horizontal plane with a separation between two conductors is D meters. The conductor geometrical mean distance is 2.0 cm. The line reactance is 0.486 ohm/kilometer. Find the phase conductor separation Darrow_forwardA three phase transmission line has its conductors arranged in a triangular formation so that two of the distances between the conductors are 9 m and the third distance is 15 m. The conductor radius is 6.37 cm. If the length of the line is 39.2 km and the normal operating voltage is 308 kV determine the total charging reactive power in MVAR at 50 Hz, given that o = 8.85419 x 10-12 F/m.arrow_forwardDerive the equation of Capacitance per phase for the 3-phase double circuit line with hexagonal spacing. (transposition of conductors is not required)arrow_forward
- A 3-phase 80 km long single circuit 66 kV transposed overhead line has horizontal spacing with 5 m between adjacent conductors and 6 m between outer conductors. The conductor diameter is 2.5 cm. Find the Inductance per phasearrow_forward2. Figure below shows the conductor configuration of a completely transposed overhead transmission line with bundled phase conductors. All conductors have a radius of 0.74 cm with a 30-cm bundle spacing. (n) Determine the inductance per phase in mH/km. (b) Find the inductive line reactance per phase in 2/km at60 Hz. - 30 cm 30 cm 30 cm E Gm Gmarrow_forwardEx: A 500-kv three-phase transposed line is composed for one ACSR 1,270,000 (mil, 45/7 Bittern conductor per phase with horizantal Conductor configuration as shown in Figure a diameter of 1.345 in 4.19. The The conductors have and a GMR OF 0.5328 in. find the inductance and capacitance perphase per kilometer of the line с b a = 35 = 35' - D23 35'— 12 D₁3 13 = 70arrow_forward
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