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BRANČÍK, L. KOLÁŘOVÁ, E.
Originální název
Variance Assesment at Transmission Lines with Randomly Varying Parameters via SDE Theory
Typ
článek ve sborníku ve WoS nebo Scopus
Jazyk
angličtina
Originální abstrakt
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.
Klíčová slova
confidence interval; Matlab; stochastic differential equation; transmission line; variance
Autoři
BRANČÍK, L.; KOLÁŘOVÁ, E.
Rok RIV
2015
Vydáno
8. 9. 2015
Nakladatel
University of Salamanca, Spain
Místo
Salamanca, Spain
ISBN
978-1-4799-8569-2
Kniha
Proceedings EUROCON 2015, 16th International Conference on Computer as a Tool
Strany od
287
Strany do
291
Strany počet
5
URL
http://eurocon2015.usal.es/
BibTex
@inproceedings{BUT116221, author="Lubomír {Brančík} and Edita {Kolářová}", title="Variance Assesment at Transmission Lines with Randomly Varying Parameters via SDE Theory", booktitle="Proceedings EUROCON 2015, 16th International Conference on Computer as a Tool", year="2015", pages="287--291", publisher="University of Salamanca, Spain", address="Salamanca, Spain", isbn="978-1-4799-8569-2", url="http://eurocon2015.usal.es/" }