A mathematical model and the results of calculation of the electric strength of the gap between the moving contacts of a high-voltage switchgear in the presence of residual ionized gas are presented. Based on the k-
e model, the turbulent nature of the gas at near-sonic velocities is taken into account. Joint analysis of the electric and gas-dynamic fields, as well as the design optimization technique (for the supersonic nozzle profile) based on genetic algorithms make it possible to quantify the effect of different parameters on the recovery of electric strength after a period of extinction of the arc.
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