Publication

Stable Simulation of Multiport Passive Distributed Networks Using Time Marching Method

Farhad Rachidi-Haeri, Akiyoshi Tatematsu
2017
Journal Articles

Abstract

In this paper, we present a stable method for simulating passive distributed networks connected to linear and nonlinear devices using the time marching (TM) method. The method is based on the use of the Z-transform for analyzing and obtaining the TM equations, and the application of cepstrum for preventing the apparition of unstable poles in the Z-domain counterparts of the TM equations. The efficiency of the proposed method is demonstrated by comparing its results with simulations obtained using the following: 1) a full-wave FDTD approach, and 2) CST Cable Studio.

Official source

https://infoscience.epfl.ch/entities/publication/6c301721-3d9a-4e7a-8043-5b9421f8d258

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Farhad Rachidi-Haeri, Akiyoshi Tatematsu
2017
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/6c301721-3d9a-4e7a-8043-5b9421f8d258

About this result

Related concepts (19)

Numerical methods for ordinary differential equations

Numerical methods for ordinary differential equations are methods used to find numerical approximations to the solutions of ordinary differential equations (ODEs). Their use is also known as "numerical integration", although this term can also refer to the computation of integrals. Many differential equations cannot be solved exactly. For practical purposes, however – such as in engineering – a numeric approximation to the solution is often sufficient. The algorithms studied here can be used to compute such an approximation.

Runge–Kutta methods

In numerical analysis, the Runge–Kutta methods (ˈrʊŋəˈkʊtɑː ) are a family of implicit and explicit iterative methods, which include the Euler method, used in temporal discretization for the approximate solutions of simultaneous nonlinear equations. These methods were developed around 1900 by the German mathematicians Carl Runge and Wilhelm Kutta. The most widely known member of the Runge–Kutta family is generally referred to as "RK4", the "classic Runge–Kutta method" or simply as "the Runge–Kutta method".

Euler method

In mathematics and computational science, the Euler method (also called the forward Euler method) is a first-order numerical procedure for solving ordinary differential equations (ODEs) with a given initial value. It is the most basic explicit method for numerical integration of ordinary differential equations and is the simplest Runge–Kutta method. The Euler method is named after Leonhard Euler, who first proposed it in his book Institutionum calculi integralis (published 1768–1870).

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