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.

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.

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 4.10MCQ: Transmission line conductance is usually neglected in power system studies. True False

See similar textbooks

Similar questions

Consider 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 m
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
Ideally, a dc load line is a straight line drawn on collector characteristic curves between which of the following? Please select one: a. Q Point and shear b. Q Point and saturation c. V_CE (interrupt) and I_C (sat) d. I_b = 0 and I_B = I_C/ß_DC
In nominal-T method of medium transmission line what is the assumption about the capacitance
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, 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) Load
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
Discuss why a. Complex power in an AC circuit is more than the DC resistance. b. Receiving end voltage of an unloaded long line may be more than sending end voltage. c. Inductance of the three phase of a transmission line are generally not equal. d. It is necessary to use the geometric means radius in the formula for the inductance calculation whereas the formula for the capacitance calculation uses the actual radius.
Problem: 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.
Q2. Figure Q2 shows the single-line diagram. The scheduled loads at buses 2 and 3 are as marked on the diagram. Line impedances are marked in per unit on 100 MVA base and the line charging susceptances are neglected. a) Using Gauss-Seidel Method, determine the phasor values of the voltage at load bus 2 and 3 according to second iteration results. b) Find slack bus real and reactive power according to second iteration results. c) Determine line flows and line losses according to second iteration results. d) Construct a power flow according to second iteration results. Slack Bus = 1.04.20° 0.025+j0.045 0.015+j0.035 0.012+j0,03 3 |2 134.8 MW 251.9 MW 42.5 MVAR 108.6 MVAR
The conductor of a single-phase 60-Hz line is a solid round aluminum wire having a diameter of 0.412 cm. The conductor spacing is 3 m. Determine the inductance of the line in millinery’s per mile. How much of the inductance is due to internal flux linkages? Assume skin effect is negligible.
How will you ensure minimum cost for the generation of required power for a given load? You may neglect transmission line losses. Support with mathematical formulations
The capacitance of a single phase two-wire transmission line depends on: Select one: a. All the above O b. the material of cables c. the radius of cables d. the distance between the cables O e. None of above