An improved finite difference method for calculating electric field in high voltage vacuum interrupter

The electric field distribution of vacuum interrupter has been calculated using multiple grid algorithm. The thorny problem encountered in finite difference method (FDM) has been well manipulated by transforming the original calculated region with complex boundary to a regular region with rectangular boundary employing the ellipsoid equation for mesh generation. The mathematic model on transformed region has been deduced and solved by the multiple gird method. Through converting from refined grid to coarse grid and modifying the error from coarse grid to refined grid, the smooth error which is existed during the iteration process has been eliminated. The calculation result testified that the precision and convergency is higher than that of original FDM.