The Mayr-Pentegov Model of Electric Arc with Selected Static Current-Voltage Characteristics

Abstract

The basic properties of the Mayr-Pentegov mathematical model of the electric arc were described. A set of generalized functions has been selected to approximate static voltage-current characteristics. On their basis, derivatives of the conductance function relative to the squared current, which are used to calculate the non-linear damping function, were determined. Families of static characteristics dependent on parameters of approximating functions are presented. As a result of the simulations of processes in the circuit with the electric arc model, the family obtained dynamic voltage-current characteristics. By using wide ranges of parameter changes, the usability of the developed model using various approximations of static characteristics was demonstrated.