Stochastic Differential Equations Approach in the Analysis of MTLs with Randomly Varied Parameters

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Stochastic Differential Equations Approach in the Analysis of MTLs with Randomly Varied Parameters

Popis výsledku v původním jazyce

The paper deals with a technique for the analysis of multiconductor transmission lines (MTL) with randomly varied parameters, which is based on a theory of stochastic differential equations (SDE). Sets of stochastic trajectories are computed as voltage or current responses, accompanied by relevant sample means and confidence intervals. The MTL model is based on a cascade connection of generalized RLGC networks, terminating circuits are replaced by their generalized Thévenin equivalents. To develop model equations a state-variable method is applied, and then a corresponding vector SDE is formulated. Finally, a stochastic implicit Euler numerical technique is used for the numerical solution being consistent with Itô stochastic calculus. All the computation were done in the MATLAB language, and deterministic responses are also stated via a numerical inverse Laplace transforms (NILT) procedure to verify the results.

Název v anglickém jazyce

Stochastic Differential Equations Approach in the Analysis of MTLs with Randomly Varied Parameters

Popis výsledku anglicky

The paper deals with a technique for the analysis of multiconductor transmission lines (MTL) with randomly varied parameters, which is based on a theory of stochastic differential equations (SDE). Sets of stochastic trajectories are computed as voltage or current responses, accompanied by relevant sample means and confidence intervals. The MTL model is based on a cascade connection of generalized RLGC networks, terminating circuits are replaced by their generalized Thévenin equivalents. To develop model equations a state-variable method is applied, and then a corresponding vector SDE is formulated. Finally, a stochastic implicit Euler numerical technique is used for the numerical solution being consistent with Itô stochastic calculus. All the computation were done in the MATLAB language, and deterministic responses are also stated via a numerical inverse Laplace transforms (NILT) procedure to verify the results.

Druh

D - Stať ve sborníku

CEP obor

JA - Elektronika a optoelektronika, elektrotechnika

OECD FORD obor

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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

2012

Kód důvěrnosti údajů

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

Název statě ve sborníku

Proceedings of 19th IEEE International Conference on Electronics, Circuits, and Systems ICECS2012

ISBN

978-1-4673-1259-2

ISSN

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e-ISSN

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Počet stran výsledku

4

Strana od-do

725-728

Název nakladatele

IEEE CAS

Místo vydání

Sevilla, Spain

Místo konání akce

Seville

Datum konání akce

9. 12. 2012

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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