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 4.5P
A 60-Hz, 765-kV, three-phase overhead transmission line has four ACSR 900 kcmil
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Consider 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 m
For transferring electrical power at 220 kV, six conductors of ACSR Drake constitute a 60Hz double circuit three phase line arranged as shown below. The vertical spacing between consecutive conductors is 14ft; the longer horizontal distance is 32ft whereas the shorter horizontal distance is 25ft.
a. Find the inductance per phase per mile and the inductive reactance per phase in ohms per mile.
b. Find the capacitive reactance to neutral in ohm-miles.
c. Find the resistance per phase per mile in ohms per miles.
d. If the length of the line is 90 miles then draw an equivalent circuit of the line and analyse the open circuit and short circuit performance of the line.
e. Find the maximum power we can transmit over the line.
f. If the line is delivering power to a load of 20MW at 0.8 power factor lagging then find the voltage at the receiving end of the line. Also, Determine the voltage regulation, losses and efficiency of the line.
g. If a fixed shunt compensation of 3 MVAr is attached at…
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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 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_forwardTransmission line conductance is usually neglected in power system studies. True Falsearrow_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_forward
- 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_forwardThree ACSR Drake conductors are used for a three-phase overhead transmission line operating at 60 Hz. The conductor configuration is in the form of an isosceles triangle with sides of 20, 20, and 38 ft. (a) Find the capacitance-to-neutral and capacitive reactance-to-neutral for each 1-mile length of line. (b) For a line length of 175 mi and a normal operating voltage of 220 kV, determine the capacitive reactance-to-neutral for the entire line length as well as the charging current per mile and total three-phase reactive power supplied by the line capacitance.arrow_forwardAlumoweld is an aluminum-clad steel conductor. True Falsearrow_forward
- A 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_forward2. A three-phase 60-hz transmission line has its conductors arranged in a triangular formation so that two of the distances between conductors are 20 ft 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.arrow_forward(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 2arrow_forward
- A 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_forwardDiscuss the desirable properties of insulators. Explain the causes of insulator failure due to electrical breakdown. Each line of a three-phase system is suspended by a string of three identical insulators of self-capacitance C farad. The shunt capacitance of connecting metal work of each insulator to earth is 20.7 % of C while for line it is 13.8 % of C. Calculate the string efficiency of the system if a guard ring increases the capacitance to the line of metal work of the lowest insulator to 0.25 C.arrow_forwardA transmission line is composed of ACSR conductors consiting of eight aluminum strands and two steel strand as seen in Figure 1. Each aluminum strand and steel strand has a diameter of 2 cm. Assuming a 3 phase line with horizontal phase spacing 8 meters between the phases which is composed of this conductor each phase is carried by given single ACSR conductor. Calculate the Inductance of each phase. Assuming a single phase circuit what would be the Loop inductance Note: Neg ect the effect of steel strand!!!!!!!!. Steel Strands Figure 1arrow_forward
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