Sketch the lumped circuit model of a transmission line and show that 8²V ÷ = y²V, and ♂ª½ = y²I¸ where y² = (R+ jøL)(G+ jøC) Write the equation for Voltage and Current waveforms as a function of z and t. Obtain the expression for the characteristic impedance of the line.

Sketch the lumped circuit model of a transmission line and show that 8²V ÷ = y²V, and ♂ª½ = y²I¸ where y² = (R+ jøL)(G+ jøC) Write the equation for Voltage and Current waveforms as a function of z and t. Obtain the expression for the characteristic impedance of the 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

Chapter5: Transmission Lines: Steady-state Operation

Section: Chapter Questions

Problem 5.18P

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Question

Sketch the lumped circuit model of a transmission line and show that
8²V
÷ = y²V, and ♂ª½ = y²I¸ where y² = (R+ jøL)(G+ jøC)
Write the equation for Voltage and Current waveforms as a function of z
and t. Obtain the expression for the characteristic impedance of the line.

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Step 1: Lumped equivalent circuit for a incremental length of a transmission line

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Step 2: Determining the time domain Voltage equation

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Step 3: Determining the time domain current equation

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Step 4: Determining the sinusoidal steady state equations of transmission line

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Step 5: Determining the final equations and it's solutions of a transmission line

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