To solve the complicated pretreatment adjustment work of charge simulation method（CSM）

and to improve the numerical calculation accuracy and efficiency of high-voltage electrical apparatus electric field

we adopted the combined method of response surface methodology（RSM） and geometric feature charge simulation method（GFCSM） to conduct the electric field numerical calculation of high-voltage electrical apparatus. Taking a typical electrode

40.5 kV vacuum interrupter（VI）

and 550 kV of SF6 circuit breaker arc-extinguishing chamber as the research objects

we used the RSM-GFCSM to solve the electric field distribution of the whole

field. According to the research results

as for the electric field numerical solution of ball/ball typical electrodes

the maximum electric field strength calculated using RSM-GFCSM was 4.32 V/cm

being closer to the theoretical value than the results calculated using CSM. When CSM and RSM-GFCSM method were used for solving the electric field of VI and 550 kV of SF

6

arc-extinguishing chamber

the comparison results of electric field calculation error values showed that RSM-GFCSM had high calculation accuracy and small computing workload. Therefore

RSM-GFCSM provides a new method for the open domain electric field numerical simulation of electrical apparatus with multiple media and complex structure.