Detail publikace

Simulation of Higher-Order Electrical Circuits with Stochastic Parameters via SDEs

BRANČÍK, L. KOLÁŘOVÁ, E.

Originální název

Simulation of Higher-Order Electrical Circuits with Stochastic Parameters via SDEs

Typ

článek v časopise - ostatní, Jost

Jazyk

angličtina

Originální abstrakt

The paper deals with a technique for the simulation of higher-order electrical circuits with parameters varying randomly. The principle consists in the utilization of the theory of stochastic differential equations (SDE), namely the vector form of the ordinary SDEs. Random changes of both excitation voltage and some parameters of passive circuit elements are considered, and circuit responses are analyzed. The voltage and/or current responses are computed and represented in the form of the sample means accompained by their confidence intervals to provide reliable estimates. The method is applied to analyze responses of the circuit models of optional orders, specially those consisting of a cascade connection of the RLGC networks. To develop the model equations the state-variable method is used, afterwards a corresponding vector SDE is formulated and a stochastic Euler numerical method applied. To verify the results the deterministic responses are also computed by the help of the PSpice simulator or the numerical inverse Laplace transforms (NILT) procedure in MATLAB, while removing random terms from the circuit model.

Klíčová slova

circuit simulation, differential equations, stochastic processes, stochastic systems

Autoři

BRANČÍK, L.; KOLÁŘOVÁ, E.

Rok RIV

2013

Vydáno

28. 2. 2013

Nakladatel

Stefan cel Mare University of Suceava

Místo

Rumunsko

ISSN

1582-7445

Periodikum

ADV ELECTR COMPUT EN

Ročník

13

Číslo

1

Stát

Rumunsko

Strany od

17

Strany do

22

Strany počet

6

URL

http://www.aece.ro

BibTex

@article{BUT98291,
  author="Lubomír {Brančík} and Edita {Kolářová}",
  title="Simulation of Higher-Order Electrical Circuits with Stochastic Parameters via SDEs",
  journal="ADV ELECTR COMPUT EN",
  year="2013",
  volume="13",
  number="1",
  pages="17--22",
  issn="1582-7445",
  url="http://www.aece.ro"
}