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Fractal stochastic-deterministic approach to modeling of electric discharge development in liquid dielectrics

The physical-mathematical models of prebreakdown phenomena in solid dielectrics have been created in the framework of the fractal stochastic-deterministic approach. The models use the stochastic rules to describe the growth of the discharge channels. Deterministic laws are used to describe the electric field, the charge and energy dynamics within the discharge channels and the dielectric. Application programs for the computer simulation of discharge development have been worked out on the base of the models. Computer investigations of temporal-spatial, current and field characteristics of discharge structures development have been carried out for liquid insulators.