2001 Annual Report Conference on Electrical Insulation and Dielectric Phenomena (Cat. No.01CH37225)
DOI: 10.1109/ceidp.2001.963635
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A new deterministic model for tree growth in polymers with barriers

Abstract: The growth of electrical trees in heterogeneous solid dielectrics was investigated by means of two-dimensional numerical simulations. In contrast to conventional approaches the introduced newly developed algorithm is based on a deterministic model together with a spatial distn'bution of the electrical breakdown strength. With standard needle plane geometries, two main types of treeing, bush-like and branch-like trees were simulated correctly in respect to their shape and the general voltage dependency. The tre… Show more

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Cited by 23 publications
(14 citation statements)
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“…along the barrier rather than along the film surface normal. [13][14][15][16][17] Evidence of interfacial propagation of trees due to barrier effect was observed by Vogelsang et.al in epoxy systems with mica barriers. 17 Wolak et.al observed breakdown damage and layer delamination a few microns away from the position of the top electrode in the cross-sections of co-extruded multilayered films; effects not observed in single component films, thus suggesting interfacial phenomena.…”
Section: Morphology Of Bcp Filmsmentioning
confidence: 79%
“…along the barrier rather than along the film surface normal. [13][14][15][16][17] Evidence of interfacial propagation of trees due to barrier effect was observed by Vogelsang et.al in epoxy systems with mica barriers. 17 Wolak et.al observed breakdown damage and layer delamination a few microns away from the position of the top electrode in the cross-sections of co-extruded multilayered films; effects not observed in single component films, thus suggesting interfacial phenomena.…”
Section: Morphology Of Bcp Filmsmentioning
confidence: 79%
“…In this model, it is considered that the tree structure grows discretely and the propagation probability in a given direction depends on the magnitude of the local electric field strength raised to a power η , that allows controlling the fractal dimension of the tree structure. This model has been used for various studies such as statistical and probabilistic analyses [ 28 , 29 , 30 ], the evaluation of the effect of dielectric barriers [ 5 , 31 ] or the space charge on tree propagation [ 3 ], and tree propagation in inhomogeneous media or including space charge [ 25 ]. The main disadvantages of this model are that the power η does not have a physical relationship with the tree propagation phenomenon and the time is not included as a physical variable in the model.…”
Section: Brief Review Of Current Models For Simulating the Propagamentioning
confidence: 99%
“…The applied voltage in test-(b) is lower than the tree inception voltage. Therefore, it is considered that electrical treeing of the base epoxy resin is comparatively straight (14) . However, electrical treeing with many branches is observed in both Nano-composite with silane treatment 0.81 9.0 x 10 -4 (9.2%) b) 7.3 x 10 -9…”
Section: Estimate Of Treeing and Crack Propagation In Nano-mentioning
confidence: 99%