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A 500-km, 500-kV, 60-Hz, uncompensated three-phase line has a positive-sequence series impedance
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Chapter 5 Solutions
Power System Analysis and Design (MindTap Course List)
- For a single-phase two-conductor line with composite conductors x and y, express the inductance of conductor x in terms of GMD and its GMR.arrow_forwardA single-phase overhead transmission line consists of two solid aluminum conductors having a radius of 3 cm with a spacing 3.5 m between centers. (a) Determine the total line inductance in mH/m. (b) Given the operating frequency to be 60 Hz, find the total inductive reactance of the line in /km and in/mi. (c) If the spacing is doubled to 7 m, how does the reactance change?arrow_forwardCalculate the capacitance-to-neutral in F/m and the admittance-to-neutral in S/km for the three-phase line in Problem 4.18. Also calculate the line-charging current in kA/phase if the line is 110 km in length and is operated at 230 kV. Neglect the effect of the earth plane.arrow_forward
- 1) A 60-Hz, ...-km, three-phase overhead transmission line has a series impedance z = 0.8431L79.04 ohm/km and a shunt admittance y = 5.105 × 106 L90 S/km. The load at the receiving end is 125 MW at unity power factor and at 215 KVLL. Determine the voltage, current, real and reactive power at the sending end and the percent voltage regulation of the line for nominal pi network. (Please determine the length of the transmission line within the specified limits: 150-220 km. By considering the length value you determined yourself, solve the question.)arrow_forwardA three-phase tranmission line is 300 Km long and serves a load of 400 MVA, 0.8 lagging power factor at 345 kV. The ABCD constants of the line are A = D = 0.8180/1.3° B = 172.2/84.2° C = 0.001933/90.4° S a) Determine the sending-end line-to-neutral voltage, the sending-end current and the percent voltage drop at full load. b) Determine the receiving-end line-to-neutral voltage at no load, the sending- end current at no load and the voltage regulation.arrow_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_forward
- A 220 kV, 50 Hz, three-phase transmission line is 60 km long. The resistance per phase is 0.15 ohms/km and the inductance per phase is 1.3 mH per km and the shunt capacitance is negligible. Use the short line model to determine; i) the voltage and power at the sending end ii) voltage regulation and efficiency when the line is supplying a three-phase load of 350 MVA, 220 kV at a power factor of 0.85 lagging.arrow_forwardA 132 kV, 60 Hz double circuit 3-phase overhead line with specific spacing valucs shown in the figure below. The phase sequence is ABC with conductor's radius in 0.74 cm. Assume that the total length of line is 1000 meters. Calculate the following parameters; a) Inductance in H/phase/kilometer. b) The inductive reactance in ohm/km. A B C O20cm O 30cm 40cm 6m 6marrow_forwardA-3-phase transmission line is shown in figure: AV₂ AV b AVC -AV₂- 1- = -AV- a I Voltage drop across the transmission line is given by the following equation: I Z₂ Zm Zm Zm Zs Zm Zm Zm Zs ][ Ia Ib C Shunt capacitance of the line can be neglect. If the line has positive sequence impedance of 15 N and zero sequence impedance of 48 , then the values of Z, and Zm will bearrow_forward
- A three phase transposed line is composed of three conductor bundle. The conductors have a diameter of 2.1793 cm and a GMR (r) of 0.8839 cm. The spacing between the conductors in the bundle is 45 cm, and the GMD-18.8988 m. a b 0,0 45- O 0,0 I D D H 2D and the capacitance per phase is C then the GMRC of the line isarrow_forwardIn short transmission line calculations, the effects of the line capacitance are neglected because such lines have smaller lengths and transmit power at relatively low voltages (< 20 kV). Select one: a. True O b. False O c. None of the abovearrow_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
- Power System Analysis and Design (MindTap Course ...Electrical EngineeringISBN:9781305632134Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. SarmaPublisher:Cengage Learning