Publication detail

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

BRANČÍK, L. KOLÁŘOVÁ, E.

Original Title

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

Type

conference paper

Language

English

Original Abstract

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.

Keywords

confidence interval; Matlab; stochastic differential equation; transmission line; variance

Authors

BRANČÍK, L.; KOLÁŘOVÁ, E.

RIV year

2015

Released

8. 9. 2015

Publisher

University of Salamanca, Spain

Location

Salamanca, Spain

ISBN

978-1-4799-8569-2

Book

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

Pages from

287

Pages to

291

Pages count

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/"
}