Variance Assesment at Transmission Lines with Randomly Varying Parameters via SDE Theory

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F15%3APU115293" target="_blank" >RIV/00216305:26220/15:PU115293 - isvavai.cz</a>

Výsledek na webu

<a href="http://eurocon2015.usal.es/" target="_blank" >http://eurocon2015.usal.es/</a>

DOI - Digital Object Identifier

—

Jazyk výsledku

angličtina

Název v původním jazyce

Variance Assesment at Transmission Lines with Randomly Varying Parameters via SDE Theory

Popis výsledku v původním jazyce

The paper addresses a method for the assesment of variances of responses at transmission lines (TL) with randomly varying primary parameters, based on the theory of stochastic differential equations (SDE). In contrast to previous works where stochastic trajectories were statistically processed to get sample means and sample standard deviations, herein the statistical characteristics are solved directly through ordinary differential equations (ODE) prepared. The TL model is formed by cascade connection of the RLGC-based П-sections enabling to model also nonuniform TLs if necessary. To develop the model equations a state-variable method is applied, and then a corresponding vector SDE is formulated. To verify the novel approach the SDEs are solved to obtain batches of individual stochastic trajectories, and then sample statistics and corresponding confidence intervals are computed. A stochastic implicit Euler numerical scheme is used for this purpose while utilizing the Matlab language.

Název v anglickém jazyce

Variance Assesment at Transmission Lines with Randomly Varying Parameters via SDE Theory

Popis výsledku anglicky

The paper addresses a method for the assesment of variances of responses at transmission lines (TL) with randomly varying primary parameters, based on the theory of stochastic differential equations (SDE). In contrast to previous works where stochastic trajectories were statistically processed to get sample means and sample standard deviations, herein the statistical characteristics are solved directly through ordinary differential equations (ODE) prepared. The TL model is formed by cascade connection of the RLGC-based П-sections enabling to model also nonuniform TLs if necessary. To develop the model equations a state-variable method is applied, and then a corresponding vector SDE is formulated. To verify the novel approach the SDEs are solved to obtain batches of individual stochastic trajectories, and then sample statistics and corresponding confidence intervals are computed. A stochastic implicit Euler numerical scheme is used for this purpose while utilizing the Matlab language.

Druh

D - Stať ve sborníku

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

2015

Kód důvěrnosti údajů

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

Název statě ve sborníku

Proceedings EUROCON 2015, 16th International Conference on Computer as a Tool

ISBN

978-1-4799-8569-2

ISSN

—

e-ISSN

—

Počet stran výsledku

5

Strana od-do

287-291

Název nakladatele

University of Salamanca, Spain

Místo vydání

Salamanca, Spain

Místo konání akce

Salamanka

Datum konání akce

8. 9. 2015

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

000380463400122