Detail publikace

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

BRANČÍK, L. KOLÁŘOVÁ, E. SIGMUND, M.

Originální název

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

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

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

Autoři

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

Vydáno

8. 10. 2017

Nakladatel

European Microwave Association

Místo

Nuremburg, Germany

ISBN

978-2-87487-046-0

Kniha

European Microwave Week 2017, Conference Proceedings

Strany od

367

Strany do

370

Strany počet

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"
}