Abstract
The paper is devoted to the comparison of two approaches for the simulation of hybrid systems which contain parts with both lumped and distributed parameters. A distributed part is represented by a multiconductor transmission line (MTL), nonuniform in general. As a framework for the solution a modified nodal analysis (MNA) is utilized to get initial equations. The first approach is based on a composition of a backward Euler scheme to solve differential-algebraic equations (DAE), resulting from the lumped part description, and Wendroff method to solve telegraphic partial differential equations (PDE), resulting from the MTL description. The second approach is based on a Laplace transformation which converts telegraphic PDEs to ordinary differential equations (ODE), and DAEs to purely algebraic ones. Then, after incorporation of boundary conditions a numerical inversion of Laplace transforms (NILT) is applied. Both approaches are compared from a point of view of computational efficiency and general applicability.
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