Multi-branches modeling of an electric discharge on slightly conductive surfaces under DC

This work concerns the modeling of electric flashover on polluted insulators. We return the results of the survey of a discharge that established on slightly conductive surfaces under DC. To raise the previous model fragility, we proposed a new mathematical electric equation development governing the discharges parallel in view of a dynamic survey. Electric parameters of current and potential recorded in different points of the path of the discharge have been determined. To validate the results, a comparison with the similar parameters recorded on an experimental model has been made, and the acceptable agreement reinforces our given hypotheses and support our survey.