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Simulation on Surface Tracking Pattern using the Dielectric Breakdown Model
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 Title & Authors
Simulation on Surface Tracking Pattern using the Dielectric Breakdown Model
Kim, Jun-Won; Roh, Young-Su;
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The tracking pattern formed on the dielectric surface due to a surface electrical discharge exhibits fractal structure. In order to quantitatively investigate the fractal characteristics of the surface tracking pattern, the dielectric breakdown model has been employed to numerically generate the surface tracking pattern. In dielectric breakdown model, the pattern growth is determined stochastically by a probability function depending on the local electric potential difference. For the computation of the electric potential for all points of the lattice, a two-dimensional discrete Laplace equation is solved by mean of the successive over-relaxation method combined to the Gauss-Seidel method. The box counting method has been used to calculate the fractal dimensions of the simulated patterns with various exponent and breakdown voltage . As a result of the simulation, it is found that the fractal nature of the surface tracking pattern depends strongly on and .
Surface tracking;Fractal;Dielectric breakdown model;Successive over-relaxation method;Box counting method;
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Investigation of Degradative Signals on Outdoor Solid Insulators Using Continuous Wavelet Transform, Journal of Electrical Engineering and Technology, 2016, 11, 3, 683  crossref(new windwow)
N. Yoshimura, M. Nishida and F. Noto, "Influence of electrolyte on tracking breakdown of organic insulation materials", Trans. IEEE. EI, vol. 16. pp. 510-519, 1981.

K. M. Song, Y. Roh, and H. R. Kwak, “Surface Discharge Characteristics of Phenolic Resin Treated by Heat and Its Structure Analysis”, J. KIIEE vol.20, no.8, pp. 71-79 Sep. 2006. crossref(new window)

S. T. Park and Y. Roh, “A Study on the Characteristics of Organic Insulating Materials Carbonized by a Leakage Current”, J. KIIEE vol. 23, no.2, pp. 161-167 Feb. 2009. crossref(new window)

Kebbabi and Beroual, “Fractal analysis of creeping discharge patterns propagating at solid/liquid interfaces: influence of the nature and geometry of solid insulators”, J. Phys. D: Appl. Phys. 39 (2006) 177-183 crossref(new window)

V Rajini and K Udaya Kumar, “Surface tracking in polymers: a pattern discrimination technique using fractals”, J. Phys. D: Appl. Phys. 39 (2006) 3695-3701 crossref(new window)

Candela R, Mirolli G and Schifani R, “PD recognition by means of statistical and fractal parameters and a neural network” IEEE Trans. Electr. Insul. 7 (2000) 87-94K. crossref(new window)

Kudo, “Fractal Analysis of Electrical Trees”, IEEE Transactions on Dielectrics and Electrical Insulation 5, (1998) 713-727 crossref(new window)

T. A. Witten, Jr. and L. M. Sander, “Diffusion-Limited Aggregation, a Kinetic Critical Phenomenon”, Physical Review Letters, vol.47, no.10, pp. 1400-1403, Nov. 1981. crossref(new window)

L. Niemeyer, L. Pietronero, and H. J. Wiesmann, "Fractal Dimension of Dielectric Breakdown", Physical Review Letters, vol.52, no.12, pp.1033-1036, March 1984 crossref(new window)

N. Femia, L. Niemeyer and V. Tucci, “Fractal characteristics of electrical discharges: experiments and simulation”, J. Phys. D: Appl. Phys., vol. 26, pp.619-627, 1993. crossref(new window)

J. H. Mathews and K. D. Fink, “Numerical Methods using Matlab”, Pearson Prentice Hall, 2004