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 5.10P
The 500-kV, 60-Hz, three-phase line in Problems 4.20 and 4.41 has a 180-km length and delivers 1600 M W at 475 kv and at 0.95 power factor leading to the receiving end at full load. Using the nominal
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There are conductor x (number of conductors = 3) and conductor y (number ofconductors = 2’) for a 50 Hz single phase two-conductor line as shown in Figure below. The linelength is 20 miles.
a. Calculate GMRx, GMRy and GMD b. Calculate Lx, Ly and total L in H/m. c. Calculate XL in /m per circuit.
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
Calculate the limit of TL length at the full-load for
three-phase, 450 MVA, 400 kV, 50 Hz, 400 mm² overhead line
with equivalent phase spacing 6.93 m. Note: consider only the
dominant parameter of the line.
(a) single-conductor
per phase,
(b) two-conductor bundle per phase of 35 cm spacing.
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_forwardWhat is The effect of increasing VS in power transmission line performance study?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_forwardi. Some reasons for adopting high transmission line voltages are to improve ------and the enhancement of. ii. The per phase power transmitted under surge impedance loading of a transmission line is given by: iii. Power transmission lines are limited in their power handling capability by the andarrow_forwardThe figure shows a common spacing for a 345 kV line using ACSR Drake conductors in bundles of two conductors with a bundle spacing d = 18 in and distances as shown. Calculate: (a) the line-to-neutral capacitance per mile, (b) the line-to-neutral capacitive susceptance per mile, (c) the per phase inductance per mile, and (d) the per phase inductive reactance per mile. 18" 7' 18" 18" 24' 24'arrow_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 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_forwardProblem. Problem 1. A 280-km, 380-kV, 50-Hz three-phase line has resistance of 0.06 Ohm/km, radius of each conductor of 18.7 mm. At full load, this line delivers 250 MW at 0.95 p.f. lagging and at 350 kV. Using nominal T circuit, find: 7.5 m 4 m 9.0 m 4 m Oa'- a) Inductance per km of the system.] b) Capacitance per km with respect to neutral. c) Find the values of ABCD matrices of the system. d) The sending-end voltage and current. e) Find values for a) and b) in per-unit values. f) Find the overall voltage drop over the transmission distance of the system. 5 g) Calculate efficiency of the line from the sender to the receiver ends. h) Plot power triangles for the system and analvse power factor of the system.arrow_forward
- The 100-km,230-kV, 60Hz. three-phase line in Problems 4.18 and 4.39 delivers 300MVA at 218kV to the receiving end at full load. Using the nominal Π circuit, calculate the ABCD parameters, sending-end voltage, and percent voltage regulation when the receiving-end power factor is (a) 0.9 lagging, (b) unity, and (c) 0.9 leading, Assume a 50°C conductor temperature to determine the resistance of this line.arrow_forwardExplain the difference between AC versus DC transmission line design, reliability, applications and benifits.arrow_forwardDescribe the effect of resistive load on sending and receiving end voltages, Power transferred and Power factor.arrow_forward
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