Fractal dimensions analysis of branching streamers propagating in mineral oil

This article deals with the analysis of the fractal dimension of streamers propagating in mineral oil, under lightning impulse voltage, using the box counting method; the method and technique of calculation are described therein. In the considered experimental conditions, the average velocities of r...

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Main Authors: Viet-Hung Dang, Abderrahmane Beroual, Pawel Rozga
Format: Article
Language:English
Published: Polish Academy of Sciences 2022-08-01
Series:Archives of Electrical Engineering
Subjects:
Online Access:https://journals.pan.pl/Content/124100/PDF/art08_i.pdf
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author Viet-Hung Dang
Abderrahmane Beroual
Pawel Rozga
author_facet Viet-Hung Dang
Abderrahmane Beroual
Pawel Rozga
author_sort Viet-Hung Dang
collection DOAJ
description This article deals with the analysis of the fractal dimension of streamers propagating in mineral oil, under lightning impulse voltage, using the box counting method; the method and technique of calculation are described therein. In the considered experimental conditions, the average velocities of recorded streamers are of 2.4 km/s and 1.8 km/s for positive and negative streamers, respectively; these velocities correspond to the 2nd mode of streamers propagation. It is shown that the streamers present the fractal dimension D ; and the higher D is the bushier are the streamers (i.e. with high branch density). The positive streamers can have higher D than the negative ones, if they are bushier.
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spelling doaj.art-3874359591cf4707b08a0052fe06148e2022-12-22T03:08:27ZengPolish Academy of SciencesArchives of Electrical Engineering2300-25062022-08-01vol. 71No 3659669https://doi.org/10.24425/aee.2022.141677Fractal dimensions analysis of branching streamers propagating in mineral oilViet-Hung Dang0https://orcid.org/0000-0002-3400-1808Abderrahmane Beroual1https://orcid.org/0000-0002-1489-0986Pawel Rozga2https://orcid.org/0000-0001-8838-072XElectric Power University, VietnamUniversity of Lyon, Ecole Centrale de Lyon, FranceLodz University of Technology, PolandThis article deals with the analysis of the fractal dimension of streamers propagating in mineral oil, under lightning impulse voltage, using the box counting method; the method and technique of calculation are described therein. In the considered experimental conditions, the average velocities of recorded streamers are of 2.4 km/s and 1.8 km/s for positive and negative streamers, respectively; these velocities correspond to the 2nd mode of streamers propagation. It is shown that the streamers present the fractal dimension D ; and the higher D is the bushier are the streamers (i.e. with high branch density). The positive streamers can have higher D than the negative ones, if they are bushier.https://journals.pan.pl/Content/124100/PDF/art08_i.pdffractal analysislightning impulse voltagemineral oilstreamers
spellingShingle Viet-Hung Dang
Abderrahmane Beroual
Pawel Rozga
Fractal dimensions analysis of branching streamers propagating in mineral oil
Archives of Electrical Engineering
fractal analysis
lightning impulse voltage
mineral oil
streamers
title Fractal dimensions analysis of branching streamers propagating in mineral oil
title_full Fractal dimensions analysis of branching streamers propagating in mineral oil
title_fullStr Fractal dimensions analysis of branching streamers propagating in mineral oil
title_full_unstemmed Fractal dimensions analysis of branching streamers propagating in mineral oil
title_short Fractal dimensions analysis of branching streamers propagating in mineral oil
title_sort fractal dimensions analysis of branching streamers propagating in mineral oil
topic fractal analysis
lightning impulse voltage
mineral oil
streamers
url https://journals.pan.pl/Content/124100/PDF/art08_i.pdf
work_keys_str_mv AT viethungdang fractaldimensionsanalysisofbranchingstreamerspropagatinginmineraloil
AT abderrahmaneberoual fractaldimensionsanalysisofbranchingstreamerspropagatinginmineraloil
AT pawelrozga fractaldimensionsanalysisofbranchingstreamerspropagatinginmineraloil