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Session 2526

Using the LC-Lumped Element Model for Transmission Line Experiments

F. Jalali Electronic Engineering Technology Department Fort Valley State University

Introduction

An array of cascaded lumped-element LC sections is an effective substitute for a real transmission line to carry out experiments on the basic characteristics of wave propagation along lines. The advantage of such a model over an actual line is the low cost of the test setups, since the operational frequencies, instead of being in GHz range, can be in kHz, for which the measurement equipment are readily available, even in small EET programs. The details of construction and how to determine the number of sections and values of the components were given earlier.1 The model is based on the traditional analysis of wave

Figure 1. Lumped-Element Transmission Line Circuit

propagation along uniform lines, which considers the line as a large number of differential- valued RLGC components, connected in a cascade, as shown in Figure 1.

The analysis leads to the solution of voltage and current as functions of time and distance, as well to the relations for the characteristic impedance and the propagation constant. If R and G are omitted (R=G=0), the model represents a loss-less line in which the frequency, wavelength, and the distributed parameters L and C are related by λf = [LC]1/2. The distributed parameters in these lines are given in per section rather than per-unit length, and therefore the wavelength will have units of sections.

With appropriate values of L and C, the model can be operated in kHz frequencies and at the same time have wavelengths that are smaller than the total number of sections. This

“Proceedings of the 2001 American Society for Engineering Education Annual Conference & Exposition Copyright Ó 2001, American Society for Engineering Education”

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Jalali, F. (2001, June), Using The Lc Lumped Element Model For Transmission Line Experiments Paper presented at 2001 Annual Conference, Albuquerque, New Mexico. 10.18260/1-2--9981