Detail publikace

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

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

Jazyk

en

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.

BibTex


@inproceedings{BUT100436,
  author="Lubomír {Brančík}",
  title="Simulation of Hybrid MTL Systems with Random Parameters based on Stochastic DAEs",
  annote="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.",
  address="Technische Universität Dresden",
  booktitle="ECCTD 2013 Proceedings (21st European Conference on Circuit Theory and Design)",
  chapter="100436",
  howpublished="electronic, physical medium",
  institution="Technische Universität Dresden",
  year="2013",
  month="september",
  pages="1--4",
  publisher="Technische Universität Dresden",
  type="conference paper"
}