AN ELECTROCHEMICAL REACTION MODEL TO DESCRIBE DIELECTRIC AGING AND FRACTAL BEHAVIOR

An electro-chemical reaction model is proposed in this paper to descri be electrical ageing of solid dielectrics under ac voltage. The presen t model has the ability to predict not only the scale-invariance prope rty of the electrical ageing function, but also the classical electric al ageing law, i.e. the electric field strength-lifetime inverse power law relationship. The micromechanisms inherent in the model enable a direct physical interpretation of the macroscopic electrical ageing be haviour in terms of the microscopic processes. We argue that the fract al behaviour of electrical ageing and breakdown processes in solid die lectrics are by essence determined by the scale-invariance of the elec trical ageing evolution equation.