Modelling of the streamer in dielectric liquids with an equivalent electrical network

This paper is devoted to the modelling of the streamer using an equivalent electrical network. Each branch of the streamer is assumed to a cylindrical channel represented by an RC cell (R and C are respectively the resistance and the capacitance associated to each branch). By introducing different values of R and velocity, we determine the shape and amplitude of the streamer current and the electrical charge for a given voltage. Then, by identifying these simulated characteristics to that ones obtained experimentally for a given streamer, we deduce the resistance and then the conductivity sigma. We also discuss the mechanisms which could intervene in the propagation of the streamer according to the sigma values.