The aim of this article is to provide an overview of polynomial chaos (PC) based methods for the statistical analysis of transmission lines. The underlying idea of PC is to represent stochastic line voltages and currents as expansions of predefined orthogonal polynomials. The determination of the expansion coefficients allows obtaining pertinent statistical information and is generally much faster than running, e.g., a Monte Carlo (MC) analysis. There exist several approaches to calculate the PC expansion coefficients. The article briefly reviews virtually all existing methods, whilst focusing on the popular and accurate stochastic Galerkin (SG) method as well as on the recent, more efficient and non-intrusive formulation of the so-called stochastic testing (ST) method. These two techniques are introduced by way of a simple illustrative example, i.e., a single-wire line running above a ground plane. Numerical comparisons in terms of accuracy and efficiency are also provided for a four-wire line with nonlinear terminations. Index Terms - Multiconductor transmission lines, polynomial chaos, statistical analysis, stochastic Galerkin method, stochastic testing, uncertainty, variability analysis.

Stochastic transmission line analysis via polynomial chaos methods: an overview / Manfredi, Paolo; Ginste, Dries Vande; Stievano, Igor S.; De Zutter, Daniël; Canavero, Flavio G.. - In: IEEE ELECTROMAGNETIC COMPATIBILITY MAGAZINE. - ISSN 2162-2264. - STAMPA. - 6:3(2017), pp. 77-84. [10.1109/MEMC.0.8093844]

Stochastic transmission line analysis via polynomial chaos methods: an overview

Manfredi, Paolo;Stievano, Igor S.;Canavero, Flavio G.
2017

Abstract

The aim of this article is to provide an overview of polynomial chaos (PC) based methods for the statistical analysis of transmission lines. The underlying idea of PC is to represent stochastic line voltages and currents as expansions of predefined orthogonal polynomials. The determination of the expansion coefficients allows obtaining pertinent statistical information and is generally much faster than running, e.g., a Monte Carlo (MC) analysis. There exist several approaches to calculate the PC expansion coefficients. The article briefly reviews virtually all existing methods, whilst focusing on the popular and accurate stochastic Galerkin (SG) method as well as on the recent, more efficient and non-intrusive formulation of the so-called stochastic testing (ST) method. These two techniques are introduced by way of a simple illustrative example, i.e., a single-wire line running above a ground plane. Numerical comparisons in terms of accuracy and efficiency are also provided for a four-wire line with nonlinear terminations. Index Terms - Multiconductor transmission lines, polynomial chaos, statistical analysis, stochastic Galerkin method, stochastic testing, uncertainty, variability analysis.
File in questo prodotto:
File Dimensione Formato  
jnl-2017-EMCMag-PC.pdf

accesso aperto

Descrizione: jnl-2017-EMCMag-PC.pdf
Tipologia: 2. Post-print / Author's Accepted Manuscript
Licenza: PUBBLICO - Tutti i diritti riservati
Dimensione 1.64 MB
Formato Adobe PDF
1.64 MB Adobe PDF Visualizza/Apri
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2689965
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo