Mathematical models of the electric arc of variable geometrical parameters and various heat dissipation methods

摘要

The paper deals with three mathematical models of the electric arc of variable geometrical parameters, in which the dissipated power depends respectively on the arc lateral area (the Voronin model), on its volume or on these two parameters simultaneously (two variants proposed in this study). Simulations were carried out to verify the applicability of these models. At the first stage of the simulation it was assumed that variation in arc length was significantly slower than variation in current and an arc variant was tested with a constant cross-section area. At the second stage a constant length arc with the cross-section area varying in a quasi-steep manner was investigated. The effectiveness of these mathematical models is presented in the form of dynamic voltage-current characteristics, for various prescribed values of parameters.