Detail publikace

Application of Stochastic Differential-Algebraic Equations in Hybrid MTL Systems Analysis

BRANČÍK, L. KOLÁŘOVÁ, E.

Originální název

Application of Stochastic Differential-Algebraic Equations in Hybrid MTL Systems Analysis

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

The paper deals with the application of stochastic differential-algebraic equations (SDAE) in the field of the time-domain simulation of hybrid (lumped/distributed) systems with randomly varying parameters. A core of the method lies on the theory of stochastic differential equations (SDE) considering the system responses as stochastic processes. However, due to a hybrid nature of the system, namely its lumped parameter part, non-differential (algebraic) parts arise generally in the solution. Herein, multiconductor transmission lines (MTL) play a role of the distributed-parameter parts of the hybrid system. The MTL model is designed as a cascade connection of generalized RLCG T-networks, while the state-variable method is applied for its description. The MTL boundary conditions are incorporated through a modified nodal analysis (MNA) to cover arbitrarily complex circuits. System responses are formed by the sets of stochastic trajectories completed by corresponding sample means and respective confidence intervals. To get the results a weak stochastic backward Euler scheme is used, consistent with the Itô stochastic calculus. All the computer simulations have been performed in the Matlab language environment.

Klíčová slova

computer simulation; stochastic processes; time-domain analysis; transmission lines

Autoři

BRANČÍK, L.; KOLÁŘOVÁ, E.

Rok RIV

2014

Vydáno

1. 5. 2014

Nakladatel

Kaunas University of Technology

Místo

Kaunas, Lithuania

ISSN

1392-1215

Periodikum

Elektronika Ir Elektrotechnika

Ročník

20

Číslo

5

Stát

Litevská republika

Strany od

41

Strany do

45

Strany počet

5

URL

http://eejournal.ktu.lt/index.php/elt/article/view/7098

Plný text v Digitální knihovně

http://hdl.handle.net/11012/201682

BibTex

@article{BUT107739,
  author="Lubomír {Brančík} and Edita {Kolářová}",
  title="Application of Stochastic Differential-Algebraic Equations in Hybrid MTL Systems Analysis",
  journal="Elektronika Ir Elektrotechnika",
  year="2014",
  volume="20",
  number="5",
  pages="41--45",
  doi="10.5755/j01.eee.20.5.7098",
  issn="1392-1215",
  url="http://eejournal.ktu.lt/index.php/elt/article/view/7098"
}