2008
DOI: 10.1002/etep.268
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FEM analysis of electromagnetic transients in linear networks

Abstract: SUMMARYThis paper describes a new general solution method when modeling electromagnetic transients in single networks with linear lossy transmission lines in the time domain using the finite element method. Based on FEM and the generalized trapezoidal rule a novel numerical procedure for the system of the telegraph equations is presented. The presented technique enables to make a simple algorithm for the analysis of electrical network with linear lossy transmission lines. The proposed method for electrical net… Show more

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Cited by 7 publications
(12 citation statements)
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“…These works propose the use of different numerical methods for solving the differential equation. Like using π-circuits [10], the modal method [11], the finite difference method (FDTD) [12], the finite element method [13], the time-step integration method [14], and others [4]. All these works bring useful transmission lines models, but all these resolution methods require, in a greater or lesser extent, numerical approximations to solve the differential equation.…”
Section: Line Model Foundationsmentioning
confidence: 99%
“…These works propose the use of different numerical methods for solving the differential equation. Like using π-circuits [10], the modal method [11], the finite difference method (FDTD) [12], the finite element method [13], the time-step integration method [14], and others [4]. All these works bring useful transmission lines models, but all these resolution methods require, in a greater or lesser extent, numerical approximations to solve the differential equation.…”
Section: Line Model Foundationsmentioning
confidence: 99%
“…So far the procedure for the nonlinear analysis of TL problem was identical to the procedure applied to the linear case [8]. As it was mentioned previously, some method for nonlinear analysis has to be applied in order to define the local FE system of equations to be assembled into the global system.…”
Section: Nonlinear Transmission Line Finite Elementmentioning
confidence: 99%
“…In Reference [8] it was shown how to apply the FEM to the linear networks with frequency independent distributed and/or lumped parameters. In a case when lumped and/or TL FEs are nonlinear it is necessary to apply a certain method for nonlinear analysis in order to define the local FE system of equations.…”
Section: Fem Proceduresmentioning
confidence: 99%
See 1 more Smart Citation
“…These methods are based on the expansion of some describing functions with unknown amplitudes, i.e. expansion of Taylor's series [14], expansion of Fourier series [15], and application of numerical computations, such as method of moment [16] and finite element method [17].…”
Section: Introductionmentioning
confidence: 99%