Publication detail

Simulation of Random Effects in Transmission Line Models via Stochastic Differential Equations

BRANČÍK, L. KOLÁŘOVÁ, E. PROKEŠ, A.

Original Title

Simulation of Random Effects in Transmission Line Models via Stochastic Differential Equations

Type

conference paper

Language

English

Original Abstract

The paper deals with a method for the simulation of transmission line (TL) models with randomly varied parameters, based on the theory of stochastic differential equations (SDE). The random changes of both excitation sources and TL model parameters can be considered. Voltage and/or current responses are represented in the form of the sample means and proper confidence intervals to provide reliable estimates. The TL models are based on a cascade connection of RLGC networks enabling to model nonuniform TLs in general. To develop model equations a state-variable method is used, and afterwards a corresponding vector SDE is formulated. A stochastic implicit Euler numerical scheme is used while using the MATLAB language environment for all the computations. To verify the results the deterministic responses are also computed by the help of a numerical inversion of Laplace transforms procedure.

Keywords

transmission line, stochastic differential equation, random effect, Itô integral, Matlab

Authors

BRANČÍK, L.; KOLÁŘOVÁ, E.; PROKEŠ, A.

RIV year

2012

Released

12. 12. 2012

Publisher

Notre Dame University

Location

Zouk Mosbeh, Lebanon

ISBN

978-1-4673-2489-2

Book

Proceedings of The 2nd International Conference on Advances in Computational Tools for Engineering Applications ACTEA2012

Edition

1

Edition number

1

Pages from

308

Pages to

312

Pages count

5

BibTex

@inproceedings{BUT94997,
  author="Lubomír {Brančík} and Edita {Kolářová} and Aleš {Prokeš}",
  title="Simulation of Random Effects in Transmission Line Models via Stochastic Differential Equations",
  booktitle="Proceedings of The 2nd International Conference on Advances in Computational Tools for Engineering Applications ACTEA2012",
  year="2012",
  series="1",
  number="1",
  pages="308--312",
  publisher="Notre Dame University",
  address="Zouk Mosbeh, Lebanon",
  isbn="978-1-4673-2489-2"
}