A transmission line theory of surface flashover arcs

Summary Form only given, as follows. The dynamics of flashover arc discharges is studied using a transmission line model in which the resistance per unit length, R, and the current, I, are assumed to satisfy the local arc welder´s ansatz R mod I mod =E*, where E* is a constant that has the dimensions of an electronic field. The model predicts a local threshold condition for onset of current flow: mod delta V/ delta x mod >E*, where V(x,t) is the electric potential across the transmission line at position x and time t. This condition can be interpreted as a condition for stripping of charge by electric fields parallel to the arc path. The model also predicts abrupt termination of arc current in some parts of the transmission line, while other parts remain active. In general, passive regions where current flow has terminated remain electrically charged. Current in the active regions can either quench or generate restart of current in a neighboring passive region.<>