Modified Voronin models of electric arc with disturbed geometric dimensions and increased energy dissipation

Mathematical models of electric an arc with disturbed geometric sizes were created based on initial assumptions adopted from the Mayr and Cassie models. Two cases of approximation of arc characteristics were considered separately. The Mayr–Voronin model was created in the low-current range with an exponential dependence of conductance on plasma enthalpy. However, the Cassie–Voronin model created is valid in the high-currentrange with a linear dependence of conductance on plasma enthalpy. In addition, the effect of two different assumptions about the method of energy dissipation, proportional to the lateral surface of the column or proportional to the volume of the column, on the parameters of both mathematical models was compared. It has been shown that under constant geometrical parameter values, created models can be reduced to classic Mayr and Cassie models. Then, these models were modified by taking into account the additional increase in heat dissipationas the current increases. Increasing voltage and current characteristics correspond to suchan arc. Using the computer simulations, the effectiveness of using developed mathematical models in mapping the dynamic characteristics of the electric arc has been shown.