Power System Analysis & Design
6th Edition
ISBN: 9781305636187
Author: Glover, J. Duncan, Overbye, Thomas J. (thomas Jeffrey), Sarma, Mulukutla S.
Publisher: Cengage Learning,
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Textbook Question
Chapter 5, Problem 5.35P
For a lossless open-circuited line, express the sending-end voltage,
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A lossless transmission line has 100 ? characteristic impedance. The line is terminated in a load impedance of 70-j100 ?. The maximum voltage measured on the line is 200V. Find;1. The minimum current and minimum voltage on the line2. Explain how location of voltage maximum can be determined by using load reflection coefficient from the forward and backward wave.3. Using load reflection coefficient in ii., calculate the distance from the load that produce the maximum voltage and current.
(c)
Evaluate the voltage regulation of a short line, a medium line (T-model) and lossless
long line under light or no load conditions. Use appropriate equations to inform your
evaluation; comment on the relative magnitudes of the voltages at both ends of the
line and clearly state any assumptions made to support your analysis.
Steel Wire
Aluminum Wire
(R-H Lay)
Figure Q1 Steel core ACSR.
Example 5
For the lossless TL shown in below with length 1
and characterístic impedance Zo, let Zg = Zo and ZR = Zo. The line
in connected another lossless TL with with length and characteristic
impedance 2Z and an impedance of Zo is connected between the two
line as well. Use Zig-zag diagram to show the incident and reflected
signals for 8T, then draw the time-spacing diagram for the sending end
Es and receiving end ER and at the point the two lines are connected
Emid.
E
+1
Hint:
K→ (3Zo||2Zo)-Zo
mid
(3Zo||2Zo)+Zo
=
ន
ZO
Kt.
mid
3Z0
(3Z0||Zo)-2Zo
(3Zo||Zo)+2Zo
2Z0
ZL
Chapter 5 Solutions
Power System Analysis & Design
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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- R C G Z A schematic representation of a transmission line is given above. a. What would be the impedance formula/equation of this transmission line, if it's lossless line.? b. If the width of the transmission line track width is increased how would the impedance on line change?arrow_forwardA load impedance of (140+j70)2 is connected to a 702 lossless line of length 0.752. Find the following parameters by using smith chart? (a) Reflection Coefficient (b) VSWR (c) Load admittance (d) Input Impedance (e) Locations of Vmax and Vmn from the load.arrow_forwardThe magnitude of the A parameter of a short transmission line is smaller than that of medium line. Select one: O True O False s page Next page o search General (Power Sys... O Powerarrow_forward
- A lossless transmission with characteristic impedance of ?0 = 100Ω and length = 52cmThe line was terminated with a load of ?? = 30 + ?50Ω. According to what is given, a) The reflection coefficient in the load and the voltage standing wave ratio on the line (GDDO)Find out.b) Find the impedance and admittance at the line input. (for ? = 750???)c) For ? = 750???, the impedance and admittance values 2cm away from the load.(It will be assumed that = ?0.)arrow_forwardA three-phase, 60-Hz, 500-kV transmission line has an inductance of 1.0424 mH/Km per phase and a capacitance of 0.0105 F/Km per phase. The line is 350 km long, and for the purpose of this problem, a lossless line is assumed. Determine the transmission line constant. Select one: a. 0.906 b. 0.999 c. 0.181 d. 0.399 e. None of thesearrow_forwardElectrical Engineering A losless line assumed to be infinitely long and of unknown characteristic impedance Z,, when connected to a lossless line of characteristic impedance 10092, produces a standing wave ratio of value 2 in the 1002 line. The same line (of unknown impedance) when connected to a line with the characteristic impedance 202 produces a standing wave ratio of value 2.5 in the 2012 line. Find: 1) possible values of the reflection coefficient from the connection between the 10092 and Z, lines; 2) possible values of the reflection coefficient from the connection between the 20 and Z.arrow_forward
- A lossless TL with if the voltage a cross a load connected to lossless TL is 20 Vyms and reflection coefficient is equal to KR = 0.7470°. 1. Find VSWR (S) for this TL. 2. Find the voltage and current scales. 3. Find the voltage and current at d= 0, 1/8, 2/4, 32/8 and 2/2 using Crank diagram and tabulate the results, including the distances and the values for maximum and minimum voltage, current, i.e. Emax and Emin at dmax and dmin, respectively. 4. From Crank diagram confirm that S has the same value found theoretically already in (1) above. 5. Use Crank diagram to evaluate the transmitted power. 6. Draw clearly the SWR pattern from d= 0 to d=12 showing the maximum and minimum positions in your plot. 7. If the load is changed to ZR= Z0 how would the SWR pattern look like? Why? Draw it clearly.arrow_forwardFor a lossless line, which of the following is true? a) y=jß b) y=a c) y=a+jß d) y=a*jßarrow_forwardA three-phase, 60-Hz. 765-kv transmission line has an inductance of 1.0071 mH/Km per phase and a capacitance of 0.0099 uF/Km per phase. The line is 500 Km long, and for the purpose of this problem, a lossless line is assumed. Determine the transmission line constant A Select one: a 0.199 0.828 c. 0.165 d 0.999 De None of these A three-phase transmission transposed line is composed of four ACSR 272000 mil conductor per phase with horizontal configuration as shown in the figure below. Each conductor has a leis 45 cm and the GMD) # 17-638 m of 14173 cm. Thearrow_forward
- Express the velocity of wave on a lossless line in terms of c and z0 with proper derivative. C is capacitance of transmission linearrow_forwardStuck on this practice study question. How do solve this transmission problem? A lossless 50-ohm transmission line is terminated in a short circuit. Use the Smith chart to determine: a. The input impedance at a distance 2.3λ from the load. b. The distance from the load at which the input admittance is Yin= -j0.04 Sarrow_forwardExample 5 (Hw): For the lossless TL shown in below with length and characteristic impedance Z,, let Zg = 2, and ZR = Z0. The line in connected anot her lossless TL with with length i and characteristic impedance 2Z, and an impedance of Zo is connected between the two line as well. Use Zig-zag diagram te show the incident and reflectesd signals for 8T, then draw the timme-spacing diagram for the sending end Es and receiving end Eg and at the point the two lines are connected Emtd - E 20 220 ZL 20arrow_forward
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