Effect of Arc Ignition Voltage on Vibration Generated in Autonomous RLC circuits. Part 1: Mathematical Models of Circuits and Criteriafor Classifying Their Solutions

The article discusses reasons for the occurrence of non-linear vibration in selected welding systems. Special attention was paid to the effect of auxiliary systems on the reduction of arc ignition voltage and, consequently, self-excited vibration. The study involved the development of mathematical models of simple autonomous circuits with electric arc of specific ignition voltage. The article also describes selected criteria for enabling the recognition of non-linear vibration types. Particular attention was paid to difficulties accompanying the identification of conditions triggering the formation of deterministic chaos.