Partial discharges and the problem of initial conditions

The mathematical model of the PD process in the lonely inclusion can be described as a series of discharges at the period of the operation voltage. Distribution of the separate discharge times depends on breakdown correlation, extinction and initial condition voltages and the operation voltage. These factors are deterministic as physical phenomena and are stochastic as a result of their influence on many indefinite stochastic coefficients. It is necessary to conduct the deep analysis of the initial conditions influencing the PD process. The surface PD can arise in the several nearby points that also can be interacted. They can change the initial conditions of each other and change time parameters of the relaxation PD process. Some issues of the several PD arising are investigated. The problem of the several PD interaction is discussed. The modeling results are given.