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 4, Problem 4.3P
A transmission-line cable with a length of 2 km consists of 19 strands of identical copper conductors, each 1.5 mm in diameter. Because of the twist of the strands, the actual length of each conductor is increased by
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the loss in a cable’s dielectric represented by?
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d) R
A transmission line cable consists of 19 strands of identical copper conductors, each 1.5 mm in diameter. The length of the cable is 2 km but because of the twist of the strands, the actual length of each conductor is increased by 5 percent. What is resistance of the cable ? Take the resistivity of the copper to be 1.78 ×10^–8 m.
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 single core 66 kVolts cable has a conductor diameter of 2 cm and a sheath of inside diameter 5.3 cm. The cable has an inner layer of 1 cm thick of rubber of dielectric constant of 4.5 and the rest impregnated paper of dielectric constant 3.6. Find the maximum stress in the rubber and in the paper.arrow_forwardDetermine the resistance of a 1.25 km long cable composed of 14 strands ofsimilar copper wire conductor; each strand is 1.3 mm in diameter. Allow a 5.4% increase in length for the twist of each strand in completed cable. The specific resistance of copper is 1.72 x 10 – 8 Ω-m.arrow_forwardThe diameter of an ACSR conductor is 1.162 inches. The steel core has 7 strands of diameter 0.1291 inches each. If Aluminum strands have the same diameter as that of a steel strand, the number of Aluminum strands is: O A. None of choices are correct O B. 36 O C. 74 O D. 54 O E. 45arrow_forward
- Each conductor of a 3-0 overhead line is suspended from a cross arm of a steel tower by a string of 4 suspension insulators. The voltage across the third 33 kV. The shunt capacitance between each insulator and the earth is 1/8th of the capacitance of the insulator itself. Find the voltage across string and string efficiency. D-128 Lod Faarrow_forwardIn a stranded conductor, if the number of layer is 4, then the number of individual wires are O 61 O 59 62 60arrow_forwardThe figure shows a conductor with four strands. Compute the GMR in terms of the radius r. Round-off your answer to 3 decimal places. Answer:arrow_forward
- q10arrow_forwardThe diameter of an ACSR conductor is 1.1116 inches. The steel core has strands of diameters of 0.1291 inches each. If 54 Aluminum strands have the diameters of 0.1351 inches each, the number of Steel strands is: O A. 15 O B. None of choices are correct O C. 19 O D.7 O E. 27arrow_forwardAn ACSR conductor has 54 aluminum stands with each strand diameter of 0.1628 inches. The steel core has 19 strands with a strand diameter of 0.0977 inches. The overall diameter will be: O A. 1.0731 inches O B. 1.5116 inches O C. 2.26 inches O D. None of choices are correct O E. 1.2699 inchesarrow_forward
- 10/ Sag increases when the conductor ages due to this effect. A. THERMAL EXPANSION B. ELASTIC STRETCH C. METALLURGICAL CREEP D. STAY RELAXATIONarrow_forwardAs the length of the conductor increases the resistance of the conductor decreases. Select one: True O Falsearrow_forwardQUESTION 2 a) The total AAC cross sectional area is 544.7522 x 106 m2. Each strands having a radius of 0.34 cm and length of conductor is 2 m. Assume that the increase in resistance due to spiraling is 1.4 %. Given the resistivity of AAC at 20 °C is 2.83 x 10* Qm and T = 228 °C. Determine the total composed strands and DC resistance at 30 °C. b) Figure 2 shows the configuration of a single-phase two-conductor in the transmission line. Calculate the total inductance "Ltotal" of the line. (Given, rx = 0.02 m and ry-0.03 m) 3' 1.20 m 0.22 m 2.09 m 0.44 m 2" Conductor 'x' Conductor 'y' Figure 2arrow_forward
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