Can you explain Question 1 please 1. Given a single phase, 138 kV, 60-Hz, 50 km-long transmission line consisting of two aluminumconductors with a 5 cm diameter separated by a spacing of 2 meters, calculate the following:• Total series inductive reactance of the line in ohms. Recall, µo = 47 x 10-7H/m.2. Using the line data in the previous problem, assume that the AC resistance of the line is 5%greater than its DC resistance and calculate the following:• Total series impedance of the line in ohms. Note that aluminum has a resistivity ofp = 2.83 x 10-82 – m.

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1. Given a single phase, 138 kV, 60-Hz, 50 km-long transmission line consisting of two aluminum conductors with a 5 cm diameter separated by a spacing of 2 meters, calculate the following: • Total series inductive reactance of the line in ohms. Recall, µo = 47 x 10-7H/m.

1. Given a single phase, 138 kV, 60-Hz, 50 km-long transmission line consisting of two aluminum conductors with a 5 cm diameter separated by a spacing of 2 meters, calculate the following: • Total series inductive reactance of the line in ohms. Recall, µo = 47 x 10-7H/m.

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter4: Transmission Line Parameters

Section: Chapter Questions

Problem 4.13P: A single-phase overhead transmission line consists of two solid aluminum conductors having a radius...

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A 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?
A three-phase overhead transmission line is designed to deliver 190.5 M VA at 220 kV over a distance of 63 km, such that the total transmission line loss is not to exceed 2.5 of the rated line MVA. Given the resistivity of the conductor material to be 2.84108-m, determine the required conductor diameter and the conductor size in circular mils. Neglect power losses due to insulator leakage currents and corona.
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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.
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A 60-Hz, single-phase two-wire overhead line has solid cylindrical copper conductors with a 1.5 cm diameter. The conductors are arranged in a horizontal configuration with 0.5 m spacing. Calculate in mH/km (a) the inductance of each conductor due to internal flux linkages only, (b) the inductance of each conductor due to both internal and external flux linkages, and (c) the total inductance of the line.
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The 500-kV, 60-Hz, three-phase line in Problems 4.20 and 4.41 has a 300-km length. Calculate: (a) Zc, (b) (l), and (c) the exact ABCD parameters for this line. Assume a 50C conductor temperature.
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