Mathematical models of the electric arc of variable geometrical parameters based on static voltage-current characteristics

Abstract

The paper presents the Schellhase and Pentegov models utilizing static voltage-current characteristics for representing processes occurring in the electric arc. In the approximations of these characteristics variation in geometrical parameters, i.e. arc length and cross-section is taken into account. A modification of the Voronin-type models is also proposed, introducing a static voltage-current characteristic. In this way, it is possible to take into account distortions of the arc geometrical parameters of the static and dynamic character.

Classical and Modified Mathematical Models of Electric Arc

“…For this reason, the simplification of differential formulas is applied (e.g. the Schellhase model) [3,4] at the expense of the negligence of energy balance conditions in the plasma chamber. Publications [5][6][7][8] present the tests of the Pentegov model, where appropriate static characteristics were applied.…”