A mathematical model to study the influence of space charges in a needle-plane-arrangement in a polymer

Abstract

In polymeric insulating materials, tree-initiated breakdown is supported by space charge. A mathematical model is developed to study the influence of space charge on the field strength of a needle-plane arrangement. The model examines carrier injection at the metal-polymer contact. The movement of the charge carriers is dependent on field strength, temperature, and carrier mobility. The effects of electrons and holes were neglected. The effectiveness of the method is illustrated by examples of thermally stimulated currents.<>