A discharge-avalanche theory for the propagation of electrical trees. A physical basis for their voltage dependence

摘要

The voltage dependence of electrical tree propagation from both recessed voids and embedded needle electrodes is described in terms of a quantitatively expressed physical model. Voltage dependent changes in the fractal dimension of the trees are used to explain the nonmonotonic behavior observed in the embedded needle geometry. The relationship of the model to inverse power law and 'Z' lifeline characteristics is briefly discussed.