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 4.31P
Figure 4.37 shows the conductor configuration of a three-phase transmission line and a telephone line supported on the same towers. The power line carries a balanced current of 250 A/phase at 60 Hz, while the telephone line is directly located below phase b Assume balanced three-phase currents in the power line. Calculate the voltage per kilometer induced in the telephone line.
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Problem #1
• An overhead line has span of 260m. The
tension in the line is 1200kg while the
conductor weighs 650 kg per 100 meters.
Calculate the maximum SAG in the conductor.
If the height of the tower is 13 meters,
estimate the clearance of conductor to the
ground. Draw a figure and mark values of sag,
clearance, span, height of conductor etc.
4.2 The voltage generated in phase a of an unloaded three-phase synchronous
generator is of the form va (t) = /2 Va cos (ot). (i) Write expressions for the
voltage in the remaining two phases a and b. (ii) Write an expression for the
line-line voltage Vab(t).
Each line of a 3-phase system given in figure is suspended by a string of 5 identical disks and the ratio of C1/C=0.1 (Shunt capacitance per self-capacitance) is given. If the string is connected to line of voltage 33kV.
a) What is the voltage distribution over the unit of string and what is the string efficiency?
b) When the string is supplied by a Guard Ring and this lead to add a two air capacitance of value 0.2C, 0.1C respectively to the nearest to the conductor. Find the new voltage distribution and the new efficiency.
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.Why does power plants have high amounts of voltages? Explain. b.Is it safe for transmission lines to have high current instead of high voltage? Why? c.What phenomenon is avoided by having separations between three conductor phases? Explain this phenomenon.arrow_forwardFigure Q2 (a) shows the spacing of a double circuit 3-phase overhead line. The phase sequence is RYB and the line is completely transposed. i) Critically assess the significance of transposition in a 3-phase overhead line. ii) Calculate the inductance per phase for 500 meter length of line using Table 2(a) data for the Figure Q2(a). Table 2(a) GMR of the line Distance a-b' 0.01m 6.6m Distance a-a' 8.5m Figure Q2(a)arrow_forwardQ4: Each conductor of a 3-phase high-voltage transmission line is suspended by a string of 4 suspension type disc insulators. If the potential difference across the second unit from top is 13-2 kV and across the third from top is 18 kV, determine the voltage between conductors. Suppose Xc 19.arrow_forward
- Write a conclusion about voltage drop and power loss calculations for Ring d.c distribution system.arrow_forwardProblem: A three phase transmission line is being supported by 3 disc insulators. The potential across top unit (near the tower) and middle unit are 8 kV and 11 kV respectively. Determine; i) ratio of capacitance between pin and earth to self capacitance of each unit, ii) the line valtage and iii) string efficiency.arrow_forwardDiscuss why a. Complex power in an AC circuit is more than the DC resistance. b. Receiving end voltage of an unloaded long line may be more than sending end voltage. c. Inductance of the three phase of a transmission line are generally not equal. d. It is necessary to use the geometric means radius in the formula for the inductance calculation whereas the formula for the capacitance calculation uses the actual radius.arrow_forward
- please solve for nodal stress method. (if it is possible to apply supernodes)arrow_forwardINSULATORS A string of suspension consists of four (4) units. The Voltage between each pin and earth is 0.14 of the Self-Capacitance of the unit. The Voltage between the Line Conductor and earth is 135 KV. Find the Voltage distribution across each unit. Draw the diagram.arrow_forwardThe 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, the impact of voltage regulation and efficiency, if the line resistance and line increases are doubled Figure Q4(b). R XL Vs Vn Figure Q4(b) Loadarrow_forward
- 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) Loadarrow_forwardQ2(a) Figure Q2(a) shows the spacing of a double circuit 3-phase overhead line. The phase sequence is UVW and the line is completely transposed. i) Critically assess the advantages of double circuit line over single circuit line Calculate the inductance per phase for 500 meter length of line using Table 2(a) data for the Figure Q2(a). Table 2(a) GMR of the line 0.01m Distance a-b' 6.m Distance c-c' 8.3m a b Figure Q2(a)arrow_forwardQ4: A transmission line has the following characteristics: (3-phase, 50 Hz, 132 KV, and stranded conductors) with the figure shown below. Find the capacitance to neutral per phase per Km.arrow_forward
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