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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Question
Chapter 4, Problem 4.23P
To determine
(a)
Inductance per phase in mH/km and mH/mi.
To determine
(b)
Inductive reactance per phase in ohm/mi at 60 Hz.
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Q1:
a) Discuss the effect of earth on the capacitance of a line :
b) Derive in expression for the capacitance to neutral per phase per Km of a single phase overhead transmission line, taking into account the effect of earth.
c) Derive in expression for the capacitance to neutral per phase per Km of a 3- phase overhead transmission line when conductors are of equilateral spacing.
Q2: A 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.
(1) The capacitance in µF/km without effect of ground?
(2) The capacitance in µF/km with effect of ground?
Determine the loop inductance, and the capacitance of a 1 km length of single-phase twin line having conductors of diameter 10 mm and spaced 800 mm apart in air.
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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Similar questions
- Calculate 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 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_forwardIn terms of line-to-line capacitance, the line-to-neutral capacitance of a single-phase transmission line is Same Twice One-halfarrow_forward
- A 55 -km long, 50 Hz, single-phase, 2-wire, transmission line is composed of 26 -mm diameter solid conductors. If the separation between conductors is 2.8 m., What is the inductance per conductor per unit length in (mH/km)?arrow_forwardThe conductor configuration of a bundled single-phase overhead transmission line is shown in Figure 4.31. Line X has its three conductors situated at the corners of an equilateral triangle with 10-cm spacing. Line Y has its three conductors arranged in a horizontal configuration with 10-cm spacing. All conductors are identical, solidcylindrical conductors, each with a radius of 2 cm. (a) Find the equivalent representation in terms of the geometric mean radius of each bundle and a separation that is the geometric mean distance.arrow_forwardWhat do you understand by impedance matching? Also write the formula of characteristic impedance for a loss less line? A piece of parallel wire line has a nominal capacitance of 30 Farad/mm, and 9 Henry inductance per meter. Assume the radius of the conductor is 0.005 meter then find the distance between the two parallel wire lines in millimeter.arrow_forward
- An 8000 V, 60 Hz, single-phase, transmission line consists of two hard-drawn aluminumconductors with a radius of 2 cm spaced 1.2 m apart. If the transmission line is 30 km longand the temperature of the conductors is 200C,a. What is the series resistance per kilometer of this line?b. What is the series inductance per kilometer of this line?c. What is the shunt capacitance per kilometer of this line?arrow_forwardFor a lossless trabsmisison line, the characteristic impedance is 80 ohm. If the capacitance per unit length is 1.5 mh/m then what will be the inductance per unit length.arrow_forwardA 50 -km long, 30 Hz, single-phase, 2-wire, transmission line is composed of 49 -mm diameter solid conductors. If the inductance per conductor of the line is 1.011 in mH/km, what is the separation distance between conductors in meter?arrow_forward
- The diameter of the overhead lines in the form of cylindrical conductors in a 300 kV three-phase transmission system is 20 mm.a) - How much distance should there be between two conductors using the maximum area calculation equations?Calculate. (Puncture peak strength of air is 30kV / cm.)b) - In this configuration, if the distance between phase conductors is 0m, at what voltage levelCalculate the discharge occurs?c) - Maximum electric field in the same configuration, for electrode distances to be 0mCalculate the value. If needed in calculations Ꜫ0 = 8.854x10-12 F / m)arrow_forwardA 11 -mile long, 58 Hz, single-phase, 2-wire, transmission line is composed of 0.84 -inch diameter solid conductors. If the separation between conductors is 3 ft., What is inductance per conductor per unit length in (mH/mi)?arrow_forwardA 3-phase bundled transmission line of 200 km length consists of three ACSR conductors as shown. Determine the inductance per meter and the inductive reactance if the size of the conductor is 109mm².arrow_forward
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