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 5, Problem 5.31P
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
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An 8000 V, 60 Hz, single-phase, transmission line consists of two hard-drawn aluminumconductors with a radius of 2 cm spaced 1.2 m apart. If the transmission line is 30 km longand the temperature of the conductors is 200C,a. What is the series resistance per kilometer of this line?b. What is the series inductance per kilometer of this line?c. What is the shunt capacitance per kilometer of this line?
A 500kV,300km,60Hz500kV,300km,60Hz, three-phase overhead transmission line, assumed to be lossless, has a series inductance of 0.97mH/km0.97mH/km per phase and a shunt capacitance of 0.0115mF/km0.0115mF/km per phase. Determine the phase constant ββ, the surge impedance ZcZc, velocity of propagation vv, and the wavelength λλ of the line.
a.
β=0.001259rad/km,Zc=290.43Ω,v=2.994×105km/s,λ=4990kmβ=0.001259rad/km,Zc=290.43Ω,v=2.994×105km/s,λ=4990km
b.
β=0.001259rad/km,Zc=290.43Ω,v=2.599×105km/s,λ=4990kmβ=0.001259rad/km,Zc=290.43Ω,v=2.599×105km/s,λ=4990km
c.
β=0.000629rad/km,Zc=290.43Ω,v=1.533×105km/s,λ=4990kmβ=0.000629rad/km,Zc=290.43Ω,v=1.533×105km/s,λ=4990km
d.
β=0.001049rad/km,Zc=290.43Ω,v=2.994×105km/s,λ=5998km
Estimate the corona loss for a 3-phase, 110 kV, 50 Hz, 150-km-long transmission line consisting of three conductors, each of 10 mm diameter and spaced 2.5 m apart in an equilateral triangle formation. The temperature of the air is 30oC and the atmospheric pressure is 750 mm of mercury. Take the irregularity factor as 0.85. Ionisation of the air may be assumed to take place at a max voltage gradient of 30 kV/cm.
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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- A 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_forwardA 132 kV, three-phase, 50Hz transmission line uses 18 mm diameter, equally spaced conductors. Determine the spacing between these conductors, if it is to be designed such that the corona inception voltage is 5% higher than the normal operating voltage of the line at 40oC. (You may assume the expression relating the electric field and the voltage of the line as a starting point, m=0.9)arrow_forward1. What is the necessary condition for matching transmission lines? In addition, what is a micro strip line? 2. For a distortion less line α = 0.02dB/m, Z0 (R0) = 60Ω and C = 0.2nF/m. Find the resistance and velocity of wave propagation. [Do not forget the units.] 3. For a finite lossless transmission line with open-circuit termination, sketch Xio vs l. Indicate where the sketch is inductive and capacitive.arrow_forward
- In a three-phase transmission line with a length of 150 km, a voltage of 250 kV and a frequency of 50 Hz, the diameter of the steel-cored aluminum conductors is 18 mm, the roughness coefficient of the conductors is 0.6, and the spacing between the conductors is 6 m. Since the average air temperature is 27˚ C and the air pressure is 762 mmHg along the line, find the corona voltage around the conductor and the total loss of the line according to the Peek formula.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_forwardHIGH VOLTAGE . A 132 kV, three-phase, 50Hz transmission line uses 18 mm diameter, equally spaced ACSR conductors. Determine the spacing between these conductors, if it is to be designed such that the corona inception voltage is 5% higher than the normal operating voltage of the line at 40o You may assume the expression relating the electric field and the voltage of the line as a starting point.arrow_forward
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