Mathematical Model of Electric Arc Column Taking into Account the Thermodynamic Processes in the Current-Carrying Parts of Damaged Equipment

Abstract

The report considered the model of the electrical network using the refined models of the transition resistance of the electric arc, taking into account its nonlinear nature and other physical characteristics of the arc burning in a limited space installations. Calculates the volt-ampere characteristics of the electric arc column length of 2 cm between the graphite electrodes connected to a power source voltage of 220 V and an internal resistance of 13 Ohms. The calculation results of current-voltage characteristics very close to the experimental one. Account the live parts of the damaged equipment in the proposed model can reflect the process of «accumulation» of heat energy in these elements, which increases the inertia of the combustion process of the electric arc column, and smooths the calculated current-voltage characteristics. Recording data for processes important in the simulation of short arcs. Based on the analysis of the experimental and calculated waveforms can be concluded about the applicability of the proposed mathematical model and possibilities of its application in the calculations of the modes arc short circuits for the needs of relay protection.