Publication result detail

Characteristics of Stochastic Responses in MTL Hybrid Systems by using SDAE Formulation

BRANČÍK, L.; KOLÁŘOVÁ, E.; SIGMUND, M.

Original Title

Characteristics of Stochastic Responses in MTL Hybrid Systems by using SDAE Formulation

English Title

Characteristics of Stochastic Responses in MTL Hybrid Systems by using SDAE Formulation

Type

Paper in proceedings (conference paper)

Original Abstract

The paper deals with the method for evaluating variability of stochastic responses at hybrid systems with both lumped and distributed parts. The latter is represented by a multiconductor transmission line (MTL) whose parameters can vary randomly. The computation is based on theory of stochastic differential equations (SDE), or rather stochastic differential-algebraic equations (SDAE), just due to presence of lumped-parameter part of a general form. The MTL itself is modeled by a cascade connection of generalized LRCG cells and is described via a state-variable method. Boundary conditions are included via the modified nodal analysis (MNA) which enables to cover arbitrarily complex systems. The main idea is to transform the resultant SDAE to be able to formulate Lyapunov-like ODE for computation of a covariance matrix carrying information about responses variability. To verify the results a statistical processing of stochastic trajectories is also considered. The method can by nature be suitable for solving electromagnetic interference (EMI) issues when stochastic disturbances are to be characterized.

English abstract

The paper deals with the method for evaluating variability of stochastic responses at hybrid systems with both lumped and distributed parts. The latter is represented by a multiconductor transmission line (MTL) whose parameters can vary randomly. The computation is based on theory of stochastic differential equations (SDE), or rather stochastic differential-algebraic equations (SDAE), just due to presence of lumped-parameter part of a general form. The MTL itself is modeled by a cascade connection of generalized LRCG cells and is described via a state-variable method. Boundary conditions are included via the modified nodal analysis (MNA) which enables to cover arbitrarily complex systems. The main idea is to transform the resultant SDAE to be able to formulate Lyapunov-like ODE for computation of a covariance matrix carrying information about responses variability. To verify the results a statistical processing of stochastic trajectories is also considered. The method can by nature be suitable for solving electromagnetic interference (EMI) issues when stochastic disturbances are to be characterized.

Keywords

hybrid system; multiconductor transmission line; stochastic differential-algebraic equation; stochastic response; covariance matrix

Key words in English

hybrid system; multiconductor transmission line; stochastic differential-algebraic equation; stochastic response; covariance matrix

Authors

BRANČÍK, L.; KOLÁŘOVÁ, E.; SIGMUND, M.

RIV year

2018

Released

08.10.2017

Publisher

European Microwave Association

Location

Nuremburg, Germany

ISBN

978-2-87487-046-0

Book

European Microwave Week 2017, Conference Proceedings

Pages from

367

Pages to

370

Pages count

4

BibTex

@inproceedings{BUT141072,
  author="Lubomír {Brančík} and Edita {Kolářová} and Milan {Sigmund}",
  title="Characteristics of Stochastic Responses in MTL Hybrid Systems by using SDAE Formulation",
  booktitle="European Microwave Week 2017, Conference Proceedings",
  year="2017",
  pages="367--370",
  publisher="European Microwave Association",
  address="Nuremburg, Germany",
  isbn="978-2-87487-046-0"
}

Documents

MC170995