Publication detail

Simulation of Stochastic Responses at Multiconductor Transmission Lines with Fluctuating Parameters

BRANČÍK, L. KOLÁŘOVÁ, E.

Original Title

Simulation of Stochastic Responses at Multiconductor Transmission Lines with Fluctuating Parameters

Type

conference paper

Language

English

Original Abstract

The paper deals with a method for the simulation of stochastic responses at multiconductor transmission lines (MTL) with fluctuating parameters via theory of stochastic differential equations (SDE). The MTL 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 networks and a state-variable method is used to formulate basic MTLs model equations. The boundary conditions are folded in via a modified nodal analysis (MNA) enabling to consider an MTL as a part of arbitrarily complex lumped-parameter circuits. Finally, a vector stochastic differential-algebraic equation (SDAE) is formulated, and the implicit Euler numerical scheme consistent with the Itô stochastic calculus used. To partly verify the results deterministic responses were stated via other methods and compared with mean values of stochastic ones. All simulations were performed in Matlab.

Keywords

multiconductor transmission line; state variable; modified nodal analysis; stochastic differential-algebraic equation

Authors

BRANČÍK, L.; KOLÁŘOVÁ, E.

RIV year

2013

Released

16. 4. 2013

Publisher

University of Pardubice

Location

Pardubice, Czech Republic

ISBN

978-1-4673-5517-9

Book

Proceedings of 23th International Conference RADIOELEKTRONIKA 2013

Edition number

1

Pages from

61

Pages to

64

Pages count

4

URL

http://marew.upce.cz/

BibTex

@inproceedings{BUT99222,
  author="Lubomír {Brančík} and Edita {Kolářová}",
  title="Simulation of Stochastic Responses at Multiconductor Transmission Lines with Fluctuating Parameters",
  booktitle="Proceedings of 23th International Conference RADIOELEKTRONIKA 2013",
  year="2013",
  number="1",
  pages="61--64",
  publisher="University of Pardubice",
  address="Pardubice, Czech Republic",
  isbn="978-1-4673-5517-9",
  url="http://marew.upce.cz/"
}