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 5.9P
The 100-km, 230-kV, 60-Hz, three-phase line in Problems 4.18 and 4.39 delivers 300 M VA at 218 kv to the receiving end at full load. Using the nominal
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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
A bipolar HVDC link is delivering 1000 MW at ±400 kV at the receiving end. Calculate the losses in
the line, assuming the resistance per conductor as 1 2.
Also estimate the sending end power, sending end voltage, power in the middle of the line, and line
losses.
Ans:=PLosses = 3.75 MW, P,= 1003.75 MW, V401.25 kV, P=1001.562 MW
Which 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 Capacitance
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_forwardone circuit of a sinlge phase transmission line is composed of three solid 0.5 cm radius wires. the return circuit is the composed of two solid 2.5 cm radius wire . the arrangement of conductors is as shwon in figure below. applying the concept of GMD and GMR , find the inductance of the complete line in millihenry per kilometerarrow_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
- A 45-km, 220-kV, 60-Hz three-phase overhead transmission line has a per-phase resistance of 0.2 ohm/km, a per-phase inductance of 1.4263 mH/km, and negligible shunt capacitance. Using the short line model, find the sending-end voltage, voltage regulation, sending-end power, and transmission line efficiency when the line is supplying a three-phase load of: (a) 371 MVA at 0.8 power factor lagging and at 220 kV, (b) 371 MVA at 0.8 power factor leading and at 220 kVarrow_forwardOne circuit of a single-phase transmission line is composed of three solid 0.5 cm radius wires. The return circuit is composed of two solid 2.5 cm radius wires. The arrangement of conductors is as shown in the following figure. Applying the concept of GMD and GMR, find the inductance of the complete line in mH per km. 5 m 5 m 10 m 5 m Conductor X Conductor Yarrow_forwardQ4/A three-phase. 60-Hz, completely transposed 345-kV, 200-km line has two 795,000-cmil 26/2 ACSR conductors per bundle and the following positive sequence line constants: z = 0.032 + j0.35 Ω/km y=j4.2*10 S/km Full load at the receiving end of the line is 700 MW at 0.99 p.f. leading and at 95% of rated voltage. Assuming a medium-length line, determine the following: a. ABCD parameters of the nominal circuit b. Sending-end voltage VS. current IS, and real power PS c. Percent voltage regulation d. Transmission-line efficiency at full loadarrow_forward
- A 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_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_forwardConsider the 500 kV, three phase bundled conductor line as shown in the figure below. Find the line to neutral capacitance. 0.5 m 30 mm (0) (O to Ine 15 m 15 marrow_forward
- A 60-Hz, 230-mile, three-phase overhead transmission line has a series impedance z = 0.8431279.04° 0/mi and a shunt admittance y = 5.105 x 10-6290° S/mi. The load at the receiving end is 174 MW at unity power factor and at 215 kV. Using per-unit calculations, determine the sending-end line-to-line voltage (in kV) and line current (in A). (Enter the magnitudes. Use a base of 174 MVA and 215 kV.) voltage 154.2 current x kv Aarrow_forwardConsider the following statements: Surge impedance loading of a transmission line can be increased by 1. increasing its voltage level 2. addition of lumped inductance in parallel 3. addition of lumped capacitance in series 4. reducing the length of the line Which of these statements are correct? (a) 1 and 3 (b) 1 and 4 (c) 2 and 4 (d) 3 and 4arrow_forwardQ4/A three-phase. 60-Hz, completely transposed 345-kV, 200-km line has two 795,000-cmil 26/2 ACSR conductors per bundle and the following positive sequence line-constants: z = 0,032 + j0.35 Ω/km y=j4.2*10 S/km Full load at the receiving end of the line is 700 MW at 0.99 p.f. leading and at 95% of rated voltage. Assuming a medium-length line, determine the following: a. ABCD parameters of the nominal # circuit b. Sending-end voltage VS. current IS, and real power PS c. Percent voltage regulation d. Transmission-line efficiency at full loadarrow_forward
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