Relationship between the Fractal Dimension of Creeping Discharges Propagating at Solid/Gas Interfaces and the Characteristics Parameters of Interfaces

A. Beroual(1*), M-L. Coulibaly(2), A. Girodet(3), O. Aitken(4)

(1) Ecole Centrale de Lyon, University of Lyon, Ampere CNRS UMR 5005, 36 avenue Guy de Collongue, 69134 Ecully, France
(2) ALSTOM Grid Power Transformers, TICC – 129, Avenue de Paris, 91300 Massy, France
(3) ALSTOM Grid – 130, Rue Léon Blum, BP 1321, 69611 Villeurbanne Cedex, France
(4) ALSTOM Grid – 130, Rue Léon Blum, BP 1321, 69611 Villeurbanne Cedex, France
(*) Corresponding author


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Abstract


This paper is aimed at the fractal analysis of surfaces discharges propagating over insulators immersed in gas and the relationship between the physical parameters influencing these discharges and the fractal dimension of these latter. It is shown that: (1) the observed experimentally discharges propagating at the surface of high voltage insulators made of different materials in presence of gas submitted to standard lightning impulse voltage in divergent electric field have a fractal dimension; and (2) there is a relationship between the fractal dimension of these discharges and the physical and geometrical characteristic parameters of solid/gas insulating system that are the thickness (e) and the dielectric constant of insulator (εr) as well as the gas and its pressure
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Keywords


Surface Discharges; Solid/Gas Insulating System; Gas Pressure; Fractal Dimension

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