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 5, Problem 5.16P
The 500-kV, 60-Hz, three-phase line in Problems 4.20 and 4.41 has a 300-km length. Calculate: (a)
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4.8 A 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 link-
ages, and (c) the total inductance of the line.
Q4(b) The equivalent circuit of a single phase short transmission line is shown
in Figure Q4(b). Here, the total line resistance and inductance are shown
as lumped instead of being distributed.
i) Sketch the phasor diagram and assess with by labeling the details for
the A.C. series circuit shown in Figure Q4(b) for the lagging power factor
at load point (Vn).
ii) Summarize, what if the load change from low value to high value
shown in Figure Q4(b).
R
XL
el
Vs
Vn
Figure Q4(b)
Load
4.18 A 230-kV, 60-Hz, three-phase completely transposed overhead line has
one ACSR 954 kcmil conductor per phase and flat horizontal phase spac-
ing, with 7 m between adjacent conductors. Determine the inductance in
H/m and the inductive reactance in Q/km.
Chapter 5 Solutions
Power System Analysis and Design (MindTap Course List)
Ch. 5 - Representing a transmission line by the two-port...Ch. 5 - The maximum power flow for a lossy line is...Ch. 5 - Prob. 5.21MCQCh. 5 - A 30-km, 34.5-kV, 60-Hz, three-phase line has a...Ch. 5 - A 200-km, 230-kV, 60-Hz, three-phase line has a...Ch. 5 - The 100-km, 230-kV, 60-Hz, three-phase line in...Ch. 5 - The 500-kV, 60-Hz, three-phase line in Problems...Ch. 5 - A 40-km, 220-kV, 60-Hz, three-phase overhead...Ch. 5 - A 500-km, 500-kV, 60-Hz, uncompensated three-phase...Ch. 5 - The 500-kV, 60-Hz, three-phase line in Problems...
Ch. 5 - A 350-km, 500-kV, 60-Hz, three-phase uncompensated...Ch. 5 - Rated line voltage is applied to the sending end...Ch. 5 - A 500-kV, 300-km, 6()-Hz, three-phase overhead...Ch. 5 - The following parameters are based on a...Ch. 5 - Consider a long radial line terminated in its...Ch. 5 - For a lossless open-circuited line, express the...Ch. 5 - A three-phase power of 460 MW is transmitted to a...Ch. 5 - Prob. 5.55PCh. 5 - Consider the transmission line of Problem 5.18....Ch. 5 - Given the uncompensated line of Problem 5.18, let...
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- Figure 4.34 shows double-circuit conductors' relative positions in segment I of transposition of a completely transposed three-phase overhead transmission line. The inductance is given by L=2107lnGMDGMRH/m/phase Where GMD=(DABeqDBCeqDACeq)1/3 With mean distances defined by equivalent spacings DABeq=(D12D12D12D12)1/4DBCeq=(D23D23D23D13)1/4DACeq=(D13D13D13)1/4 And GMR=[ (GMR)A(GMR)B(GMR)C ]1/3 with phase GMRs defined by (GMR)A=[ rD11 ]1/2;(GMR)B=[ rD22 ]1/2;(GMR)C=[ rD33 ]1/2 and r is the GMR of phase conductors. Now consider a 345-kV, three-phase, double-circuit line with phase-conductors GMR of 0.0588 ft and the horizontal conductor configuration shown in Figure 4.35. Determine the inductance per meter per phase in Henries (H). Calculate the inductance of just one circuit and then divide by 2 to obtain the inductance of the double circuit.arrow_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_forwardFor either single-phase two-wire line or balanced three-phase three-wire line with equal phase spacing D and with conductor radius r, the capacitance (line-to-neutral) in F/m is given by Can=.arrow_forward
- For 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_forwardExpand 6k=13m=12Dkm.arrow_forwardA 60-Hz, three-phase three-wire overhead line has solid cylindrical conductors arranged in the form of an equilateral triangle with 4-ft conductor spacing. The conductor diameter is 0.5 in. Calculate the positive-sequence inductance in Wm and the positive-sequence inductive reactance in /km.arrow_forward
- Three 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_forwardFor a single-phase two-conductor line with composite conductors x and y, express the inductance of conductor x in terms of GMD and its GMR.arrow_forwardFor a single-phase, two-wire line consisting of two solid cylindrical conductors of same radius, r, the total circuit inductance, also called loop inductance, is given by (in H/m) 2107ln(Dr) 4107ln(Dr) where r=e14r=0.778rarrow_forward
- Considering two parallel three-phase circuits that are close together, when calculating the equivalent series-impedance and shunt-admittance matrices, mutual inductive and capacitive couplings between the two circuits can be neglected. True Falsearrow_forwardProblem. Problem 1. A 280-km, 380-kV, 50-Hz three-phase line has resistance of 0.06 Ohm/km, radius of each conductor of 18.7 mm. At full load, this line delivers 250 MW at 0.95 p.f. lagging and at 350 kV. Using nominal T circuit, find: 7.5 m 4 m 9.0 m 4 m Oa'- a) Inductance per km of the system.] b) Capacitance per km with respect to neutral. c) Find the values of ABCD matrices of the system. d) The sending-end voltage and current. e) Find values for a) and b) in per-unit values. f) Find the overall voltage drop over the transmission distance of the system. 5 g) Calculate efficiency of the line from the sender to the receiver ends. h) Plot power triangles for the system and analvse power factor of the system.arrow_forwardA DC generator of voltage Vg and internal resistance Rg is connected to a lossy transmission line characterised by a resistance per unit length R and a conductance per unit length G. a.)Write the governing voltage and current transmission line eequations. b.)Find the general solutions for v(z) and I(z). c.)Specialise the solutions in part(b) to those for an infinte line. d.)Specialize the solutions in part(b) to those for a finite line of length l that is terminated in a load resistance Rl.arrow_forward
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