Detail publikačního výsledku

Simulation of Hybrid MTL Systems with Random Parameters based on Stochastic DAEs

BRANČÍK, L.

Originální název

Simulation of Hybrid MTL Systems with Random Parameters based on Stochastic DAEs

Anglický název

Simulation of Hybrid MTL Systems with Random Parameters based on Stochastic DAEs

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

hybrid system; multiconductor transmission line; modified nodal analysis; stochastic differential-algebraic equation

Klíčová slova v angličtině

hybrid system; multiconductor transmission line; modified nodal analysis; stochastic differential-algebraic equation

Autoři

BRANČÍK, L.

Rok RIV

2014

Vydáno

08.09.2013

Nakladatel

Technische Universität Dresden

Místo

Dresden, Germany

ISBN

978-3-00-043430-3

Kniha

ECCTD 2013 Proceedings (21st European Conference on Circuit Theory and Design)

Strany od

1

Strany do

4

Strany počet

4

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/"
}