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- Title
ANALYSIS OF NON-UNIFORM TRANSMISSION LINE USING THE DISCRETIZATION THEORY.
- Authors
Kumar, L.; Parathasarathy, H.; Upadhyay, D.
- Abstract
In this paper, the analysis of voltage waves that propagate along a nonuniform transmission line is presented. For this analysis, the primary constants of non-uniform transmission lines are assumed to be slowly varying function of the distance (z) along the line from the source end. Now the first order linear partial differential equation for the voltage waves along the line is obtained by using KVL and KCL equations for the infinitesimal length ?z of the line. Further it is also seen that this pair of equations is a linear time invariant system but not shift invariant system w.r.t the distance (z) along the non-uniform transmission line. In order to solve this pair of system equations, we eliminate the current variable thereby obtaining a second order differential equation in z with variables coefficients. The partial derivatives are simply replaced by multiplication with j? for going over to the Fourier domain w.r.t time. The final problem thus reduces to solving a linear, second order ordinary difference equation with non-constant coefficients and also boundary conditions determined at the source end and load end. Now the equation is approximated by a second order differential equation by the discretization approach w.r.t distance (z). Finally the effectiveness of the proposed analysis is simulated for different cases in MATLAB.
- Subjects
NON-uniform motion; ELECTRIC lines; DISCRETIZATION methods; ELECTRIC waves; ELECTRIC potential; THEORY of wave motion; PARTIAL differential equations; MATLAB (Computer software)
- Publication
Journal of Applied Electromagnetism, 2013, Vol 15, Issue 1, p1
- ISSN
1109-1606
- Publication type
Article