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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For a transmission line:
a) Draw the lumped-element circuit model.
b) State what each element of the model (R, L, G, C) physically represents.
c) For lossy and lossless media, express the characteristic impedance and phase velocity of the transmission line in terms of R, L, G, C.
Write down the importance of transmission line constants.
The VSWR on a loss-free line of 50-ohm characteristic impedance is 4.2. Determine the value of the purely resistive load impedance which is known to be larger than 50 ohms.
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- For a lossless open-circuited line, express the sending-end voltage, V1, in terms of the receiving-end voltage, V2, for the three cases of short-line model, medium-length line model, and long-line model. Is it true that the voltage at the open receiving end of a long line is higher than that at the sending end, for small 1?arrow_forwardThe maximum power flow for a lossy line is somewhat less than that for a lossless line. True Falsearrow_forwardA three-phase power of 460 MW is transmitted to a substation located 500 km from the source of power. With VS=1. per unit, VR=0.9 per unit, =5000 km, Zc=500, and =36.87, determine a nominal voltage level for the lossless transmission line based on Eq. (5.4.29) of the text. Using this result, find the theoretical three-phase maximum power that can be transferred by the lossless transmission line.arrow_forward
- A 500-kV, 300-km, 6()-Hz, three-phase overhead transmission line, assumed to be lossless, has a series inductance of 0.97 mH/krn per phase and a shunt capacitance of 0.0115F/km. per phase. (a) Determine the phase constant p, the surge impedance Zc, velocity of propagation v, and the wavelength of the line (b) Determine the voltage, current, real and reactive power at the sending end, and the percent voltage regulation of the line if the receiving-end load is 800 MW at 0.8 power factor lagging and at 500 kV.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_forwardTransmission line conductance is usually neglected in power system studies. True Falsearrow_forward
- 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.arrow_forwardWhich Transmission Line Parameter is neglected or ignored in most classifications of Transmission Line Equivalent Circuits? A. The Line Inductance B. The Line Resistance C. The Shunt Conductance D. The Shunt Capacitancearrow_forwardA 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_forward
- Explain the carrier current protection scheme for a long transmission line. What are the important elements/components of this type of protection schemearrow_forwardA three-phase, 765-kV, 60-Hz transposed line is composed of four ACSR, l,431,000-cmil, 45/7 Bobolink conductors per phase with flat horizontal spacing of 14 m. The conductors have a diameter of 3.625 cm and a GMR of 1.439 cm. The bundle spacing is 45 cm. The line is 400 km long, and for the purpose of this problem, a lossless line is assumed. (a) Determine the transmission line surge impedance Zc, phase constant ß, Wavelength λ, the surge impedance loading SIL, and the ABCD constant. b) The line delivers 2000 MVA at 0.8 lagging power factor at 735 kV. Determine the sending end quantities and voltage regulation. c) Determine the receiving end quantities when 1920 MW and 600 Mvar are being transmitted at 765 kV at the sending end. (d) The line is terminated in a purely resistive load. Determine the sending end quantities and voltage regulation when the receiving end load resistance is 264.5 Ω at 735 kV.arrow_forwardA three-phase power of 460 MW is transmitted to a substation located 500 km from the source of power. With VS=1 per unit, VR=0.9 per unit, λ =5000 km, Zc =500 V, and δ=36.878, determine a nominal voltagen level for the lossless transmission line based on Eq. (5.4.29) of the text. Using this result, find the theoretical three-phase maximum power that can be transferred by the lossless transmission line.arrow_forward
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