A. YOUSFI, B. ZEGNINI
Abstract. This paper presents the variation of fractal dimension with final stopping lengths and different applied voltage. This investigation deals mainly with the fractal properties of 2D (Dimension) patterns of real propagating streamers obtained in insulating vegetable oil. The streamer patterns are generated experimentally under impulse voltages. Simulation program is used to calculate the fractal dimension for experimentally obtained sequence of initiation and propagation of streamers in vegetable oil by using box counting method. It is found that fractal dimension is a function of magnitude of the voltage, polarity of the voltage. Fractal analysis is a good and suitable tool for the analysis of streamers initiation and propagation in insulating vegetable oil used in transformers.
Fractal Dimension, Box Counting Method, Pattern, Insulating Vegetable Oil, Power Transformer, Impulse Voltage
Published online 12/10/2016, 4 pages
Copyright © 2016 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA
Citation: A. YOUSFI, B. ZEGNINI, ‘Characterization of streamer patterns in insulating vegetable oil subjected under impulse voltages by fractal analysis’, Materials Research Proceedings, Vol. 1, pp 110-113, 2016
The article was published as article 28 of the book Dielectric Materials and Applications
 Essam A. Al-Ammar, Optical observation of streamer propagation and breakdown in seed based insulating oil under impulse voltages international Journal of physical science, Vol 9 (13)pp 292-301, 16 July 2014.(2014)
 P. Rain and O. Lesaint, “Prebreakdown phenomena in mineral oil understep and ac voltage in large-gap divergent fields”, IEEE Trans. Dielectr. Electr. Insul., Vol. 1, pp. 692-701, (1994). http://dx.doi.org/10.1109/94.311712
 S. Otsuki, K. Yamazawa, K. Sugiura, and H. Yamashita, “A study of three-dimensional measurement of pre-breakdown streamer in dielectric liquids”, IEEE Conf. Electr. Insul.and Dielectr. Phenom., Vol. 2, pp. 644-647, (1997). http://dx.doi.org/10.1109/ceidp.1997.641157
 K. Kudo, “Fractal analysis of electrical trees,” IEEE Transactions on Dielectrics and Electrical Insulation, vol. 5, pp. 713-727 (1998). http://dx.doi.org/10.1109/94.729694
 Kebbabi and A. Beroual, “Fractal analysis of creeping discharge patterns propagating at solid/liquid interfaces-influence of the nature and geometry of solid insulators,” Annual Report Conference on in Electrical Insulation and Dielectric Phenomena (CEIDP ’05), pp. 132-135.(2005).
 W. Lu, X. F. Wang and Q. Liu, Fractal Index of Streamer Patterns in Insulating Liquids under Lightning Impulse Voltages, 2014 IEEE International Conference on Liquid Dielectrics, Bled, Slovenia, June 30 – July 3, 2014 ,pp.1-4.(2014). http://dx.doi.org/10.1109/icdl.2014.6893158
[7 ]Viet-Hung Dang, A. Beroual and C. Perrier, Investigations on Streamers Phenomena in Mineral, Synthetic and Natural Ester Oils under Lightning Impulse Voltage, IEEE Transactions on Dielectrics and Electrical Insulation Vol. 19, No. 5; October 2012, pp1521-1527 (2012).
 K.J Anoop ,K.Kanchana, Characterization of electrical trees in Bakelite insulator by fractal analysis, Int. Trans. Electr. Energ. Syst. (2014)