I. Introduction
Vacuum arcs have played extremely important roles in many fields, such as vacuum ion sources [1], vacuum extinguishing chambers [2], and vacuum arc thrusters [3]. Vacuum circuit breakers, which have many advantages such as small size, light weight, strong breaking capacity, maintenance-free during their lifetime, suitable for frequent operations, and environmentally friendly, have been widely used in modern low- and medium-voltage power distribution fields [4]. In the early stage of vacuum circuit breaker breaking, the arc current is concentrated in a small area of the contact, the resistance increases, and a large amount of Joule heat is generated. As the arc current increases and the energy flow density converges towards the center of the arc, the anode temperature rises and eventually melts to form a melting poo1 [5]. The anode melting pool will affect the density of metal vapor after the arc passes zero. If the residual charge density is higher than the critical value, the arc will reignite, resulting in vacuum circuit breaker breaking failure [6]. Therefore, it is more conducive to reveal the internal physical process of its breaking by simulation and emulation, and it is easier to measure the distribution of its microscopic physical characteristic parameters. This can accurately predict the breaking performance of vacuum circuit breakers and provide a theoretical basis for improving and developing new types of vacuum circuit breakers.