Electrical Tree Simulation Based on the Self-Organization Criticality


So far much effort has been made to understand the development of electrical treeing. For the simulation based study of electrical treeing, the most common method is to apply DBM stochastic model to simulate the growing of electrical treeing patterns. Previous simulation results showed that this stochastic model is capable of simulating the real electrical treeing patterns in a point-to-plane electrode system. However, this model only allows the tree channels to propagate on equipotential lines proportional to local electrical field. Therefore, it is necessary to develop a novel stochastic model to simulate the electrical patterns in order to get a good agreement with experimental results.

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H. M. Hu, Y. Yang, W. Lu and G. Zhao, "Electrical Tree Simulation Based on the Self-Organization Criticality," Energy and Power Engineering, Vol. 5 No. 4B, 2013, pp. 1273-1276. doi: 10.4236/epe.2013.54B241.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] L. Niemeyer, L. Pietronero and H. J. Wiesmann, "Fractal Dimension of Dielectric Breakdown", Physical Review Lett., Vol. 52, No. 12, 1984, pp. 1033-1036. doi:0.1103/PhysRevLett.52.1033
[2] S. P. Frankel (1950). Convergence rates of interactive treatments of partial differential equations. Mathematical Tables and Other Aids to Computation 4, pp. 65-75. doi:10.2307/2002770
[3] P. Bak, C. Tang and K. Wiesenfeld 1987 Phys. Rev. Lett. 59.381-384
[4] P. Bak, C. Tang and K. Wiesenfeld, “Self-organized Criticality,” Physical Review A, Vol. 38, 1988, pp. 364-374.doi:10.1103/PhysRevA.38.364
[5] J. M. Cooper and G. C. Stevens, “The Influence of Physical Properties on Electrical Treeing in a Cross-linked Synthetic Resin,” Journal of Phys. D: Appl. Phys., Vol. 23, 1990, pp. 1528-1535.
[6] H. J. Wiesmann and H. R. Zeller, “A Fractal Model of Dielectric Breakdown and Prebreakdown in Solid Dielectrics,” Journal of Applied Physics, Vol. 60, No. 5, 1986, pp. 1770-1773. doi:10.1063/1.337219
[7] L. Kebbabi and A. Beroual, “Fractal Analysis of Creeping Discharge Patterns Propagating at Solid/liquid Interfaces: Influence of the Nature and Geometry of Solid Insulators,” Journal of the Physics D: Applied Physics, Vol. 39, 2006, pp. 177-183. doi:10.1088/0022-3727/39/1/026
[8] P. Wlezek, A. Odgaard and M. Sernetz, “Fractal 3D Analysis of Blood Vessels and Bones,” Fractal Geometry and Computer Graphics, Springer-Verlag, Berlin, pp. 240-248, 1992.
[9] K. Kudo, “Fractal Analysis of Electrical Trees,” IEEE Transactions on Dielectrics and Electrical Insulation, Vol. 5 No. 5, October 1998, PP. 713-727. doi:10.1109/94.729694

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