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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F14%3APU109211" target="_blank" >RIV/00216305:26220/14:PU109211 - isvavai.cz</a>

Výsledek na webu

<a href="http://eejournal.ktu.lt/index.php/elt/article/view/7098" target="_blank" >http://eejournal.ktu.lt/index.php/elt/article/view/7098</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.5755/j01.eee.20.5.7098" target="_blank" >10.5755/j01.eee.20.5.7098</a>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20201 - Electrical and electronic engineering

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2014

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Elektronika Ir Elektrotechnika

ISSN

1392-1215

e-ISSN

—

Svazek periodika

20

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

LT - Litevská republika

Počet stran výsledku

5

Strana od-do

41-45

Kód UT WoS článku

000340681800008

EID výsledku v databázi Scopus

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