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BRANČÍK, L.
Original Title
Simulation of Hybrid MTL Systems with Random Parameters based on Stochastic DAEs
Type
conference paper
Language
English
Original Abstract
The paper deals with a method for the simulation of hybrid systems containing multiconductor transmission lines (MTL) with randomly varying primary parameters. A core of the method lies on a theory of stochastic differential equations (SDE) considering the system responses as stochastic processes. In fact, due to a hybrid nature of the system containing also parts with lumped parameters, a system of stochastic differential-algebraic equations (SDAE) is obtained. The responses are formed by the sets of stochastic trajectories completed by corresponding sample means and confidence intervals. The MTL model is based on a cascade connection of generalized RLCG T-networks and a state-variable method is used to formulate its equations. The boundary conditions are folded in by a modified nodal analysis (MNA) enabling to include the MTLs as parts of arbitrary lumped-parameter circuits. Finally, a backward differentiation formula consistent with the Itô stochastic calculus is used for numerical solutions. All the computer simulations were performed using the Matlab language.
Keywords
hybrid system; multiconductor transmission line; modified nodal analysis; stochastic differential-algebraic equation
Authors
RIV year
2013
Released
8. 9. 2013
Publisher
Technische Universität Dresden
Location
Dresden, Germany
ISBN
978-3-00-043430-3
Book
ECCTD 2013 Proceedings (21st European Conference on Circuit Theory and Design)
Pages from
1
Pages to
4
Pages count
URL
http://www.iee.et.tu-dresden.de/ecctd2013/
BibTex
@inproceedings{BUT100436, author="Lubomír {Brančík}", title="Simulation of Hybrid MTL Systems with Random Parameters based on Stochastic DAEs", booktitle="ECCTD 2013 Proceedings (21st European Conference on Circuit Theory and Design)", year="2013", pages="1--4", publisher="Technische Universität Dresden", address="Dresden, Germany", isbn="978-3-00-043430-3", url="http://www.iee.et.tu-dresden.de/ecctd2013/" }