Detail publikačního výsledku

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

BRANČÍK, L.; KOLÁŘOVÁ, E.; PROKEŠ, A.

Originální název

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

Anglický název

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

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

BRANČÍK, L.; KOLÁŘOVÁ, E.; PROKEŠ, A.

Rok RIV

2013

Vydáno

12.12.2012

Nakladatel

Notre Dame University

Místo

Zouk Mosbeh, Lebanon

ISBN

978-1-4673-2489-2

Kniha

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

Edice

1

Strany od

308

Strany do

312

Strany počet

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"
}