1996
DOI: 10.1541/ieejfms1990.116.7_651
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Abstract: Many complex patterns in nature such as discharge phenomena are known as fractal objects. With the development of computer system, their spatial structures of discharge patterns have been analyzed using a computer simulation.In this paper, we developed the 3-dimensional numerical simulation model of the electrical tree pattern considering growing probability and local electric field under a Laplace field. Using this numerical simulation model, we obtained the various shapes of electrical tree, such as tree-lik… Show more

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Cited by 7 publications
(4 citation statements)
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“…On the other hand, the case of η = 1 agrees with the DLA (Diffusion-Limited Aggregation) model [17], producing fractal shapes reminiscent of the Lichtenberg figures observed in creeping discharge. In this study, we used η = 1 in the simulations [13,14]. (4) The grid is applied on the tip of the developing tree so that the potential inside the tree discharge portion is decreased by V d .…”
Section: Simulation Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…On the other hand, the case of η = 1 agrees with the DLA (Diffusion-Limited Aggregation) model [17], producing fractal shapes reminiscent of the Lichtenberg figures observed in creeping discharge. In this study, we used η = 1 in the simulations [13,14]. (4) The grid is applied on the tip of the developing tree so that the potential inside the tree discharge portion is decreased by V d .…”
Section: Simulation Methodsmentioning
confidence: 99%
“…We studied a three-dimensional tree simulation on a single insulator in a needle-plate electrode system to investigate the growth probability introduced by Niemeyer's group [13]. In addition to the growth probability, we also considered the critical electric field for tree occurrence and potential drop along a tree discharge path as the most appropriate measures of the actual physical conditions of tree propagation [14].…”
Section: Introductionmentioning
confidence: 99%
“…We have also been studying a three-dimensional (3D) tree simulation that considers interfaces perpendicular or parallel to the electric force line [12]- [15]. However, a 3D tree simulation that considers interfaces having various angles of inclination to the electric force line has not yet been fully investigated.…”
Section: Introductionmentioning
confidence: 99%
“…We have been performing threedimensional tree simulations for an interface perpendicular to the electric force line [11]- [13]. However, three-dimensional tree simulations for an interface parallel to the electric force line have not been performed yet.…”
Section: Introductionmentioning
confidence: 99%