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The paper describes a method of modelling lossy transmission lines with frequency dependent parameters in the fractional-order domain. It is shown that in high frequency systems the frequency dependence of the transmission line (TL) and other related losses are essential to be considered in the model. In this paper fractional-order domain is used to model the lossy transmission line, which compensates...
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...
Continuous space-time systems, such as transmission lines (TL) with distributed parameters, are normally described by linear 2D partial differential equations, and hence in these cases it is very difficult or even impossible to obtain the space-time response analytically, which brings out the importance of utilizing numerical techniques [1, 2]. In this paper three 2D numerical inverse Laplace transform...
This paper is focused on the development of a method to determine variances of the stochastic responses in transmission line models with random excitations. It is based on the theory of stochastic differential equations (SDE), namely a system of vector linear SDEs with additive noise is formulated to be prepared to simulate respective stochastic trajectories. One possibility to get the moments of...
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