HAL : hal-00312904, version 1

DOI : 10.1109/TPWRD.2007.909050

Fiche détaillée

Récupérer au format BibTeX - EndNote - TEI - RefWorks -

IEEE Transactions on Power Delivery 23, 3 (2008) 1527-1534

A quasi-Monte Carlo integration method applied to the computation of the Pollaczek integral

Xavier Legrand 1, Alain Xémard 1, Gérard Fleury 2, Philippe Auriol (  Auteur correspondant ) 3, Carlo Alberto Nucci 4

(08/2008)

This paper presents an effective numeric method to compute Pollaczek integral. This integral is widely used in transmission-line theory when computing the mutual impedance between an overhead conductor and another overhead or underground conductor and the earth-return impedance of an underground cable. At first, we present mutual expressions proposed by Pollaczek and underline the numerical complexities that often lead to the adoption of alternative simplified methods. Then a brief review of the so called "quasi-Monte Carlo" integration method along with its advantages is given. Such an approach is then applied to compute numerically Pollaczek expressions. Comparison between our numerical procedure and an algorithm that has already been published proves both the procedure accuracy, one of its main advantages along with its ease of implementation, and its relatively low time consumption, independent of the input parameters. Finally, as an application example, quasi-Monte Carlo method is used to assess the adequacy, for several study cases, of the simplified formula by Lucca, which is a widely used approximate expression of interest.

1 :	EDF R&D
	EDF
2 :	Laboratoire de Mathématiques
	CNRS : UMR6620 – Université Blaise Pascal - Clermont-Ferrand II
3 :	Ampère
	CNRS : UMR5005 – Université Claude Bernard - Lyon I – Institut National des Sciences Appliquées (INSA) - Lyon – Ecole Centrale de Lyon
4 :	Department of Electrical Engineering
	University of Bologna

Domaine

:

Sciences de l'ingénieur/Energie électrique

Mots Clés : coupled transmission lines – mutual coupling – power cables – power system transients

hal-00312904, version 1

http://hal.archives-ouvertes.fr/hal-00312904

oai:hal.archives-ouvertes.fr:hal-00312904

Contributeur : Publications Ampère <>

Soumis le : Mardi 26 Août 2008, 20:37:41

Dernière modification le : Jeudi 10 Décembre 2009, 15:15:52