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 4.32P
To determine
Line to neutral capacitance per phase in F/km and admittance to neutral in S/km.
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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.
What 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.
For 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.
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_forwardIn terms of line-to-line capacitance, the line-to-neutral capacitance of a single-phase transmission line is Same Twice One-halfarrow_forwardThe capacitance of a single-circuit, three-phase transposed line with the configuration shown in Figure 4.38, including ground effect, and with conductors not equilaterally spaced is given by C20lnDeqrlnHmH8 F/m line-to-neutral where Deq=D12D23D133=GMD r= conductors outside radiusHm=(H12H23H13)1/3HS=(H1H2H3)1/3 Now consider Figure 4.39 in which the configuration of a three-phase, single circuit, 345-kV line with conductors having an outside diameter of 1.065 in. is shown. Determine the capacitance to neutral in F/m, including the ground effect. Next, neglecting the effect of ground, see how the value changes.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_forwardFor the case of double-circuit, bundle-conductor lines, the same method indicated in Problem 4.27 applies with r' replaced by the bundles GMR in the calculation of the overall GMR. Now consider a double-circuit configuration shown in Figure 4.36 that belongs to a 500-kV, three-phase line with bundle conductors of three subconductors at 21 in. spacing. The GMR of each subconductor is given to be 0.0485 ft. Determine the inductive reactance of the line in ohms per mile per phase. You may use XL=0.2794logGMDGMR/mi/phasearrow_forwardSolve this math : A three-phase 60-hz transmission line has its conductors arranged in a triangular formation so that two of the distances between conductors are 20ft and the third is 40 ft. The conductors are ACSR Rook. Determine the capacitance to neutral in microfarads per mile and the capacitive reactance to neutral in ohm-miles. If the line is 115 mi long, find the capacitance to neutral and capacitive reactance of the line. Note: In the below i have added similer type of math and its ans.In the above math, there is just changes of values and Main Change is ACSR ROOK which is given to then question and in the below question which is solved it was ask ACSR Parakeet. So notice that. Follow This Book for help"POWER SYSTEM ANALYSISAND DESIGN;FIFTH EDITION, SI;J. DUNCAN GLOVER" Now solve the math according to the given way solve the math. "A three-phase 60-hz transmission line has its conductors arranged in a triangular formation so that two of the distances between conductors are 25…arrow_forward
- What 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 31.5 F/m, and 9 H inductance per meter. Assume the radius of the conductor is 0.008 meter then find the distance between the two parallel wire lines in milimeter. Note: Please do not handwritingarrow_forwardQ2: 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?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 31.5 F/m, and 9 H inductance per meter. Assume the radius of the conductor is 0.008 meter then find the distance between the two parallel wire lines in milimeter.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_forwardDetermine 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.arrow_forwardThe arrangement of conductors of a single-phase transmission line is shown in Figure wherein the forward circuit is composed of three solid wires 2.5 mm in radius and the return circuit of two-wires of radius 5 mm placed symmetrically with respect to the forward circuit. Find the inductance of each side of the line and that of the complete line. Calculate inductive reactance of the line.arrow_forward
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