Adaptive Gaussian quadrature over surface splines in high-voltage field computation

Integral equation methods are very often used for high-voltage field comput ation. This paper describes an adaptive Gaussian quadrature method for solv ing potential and field related integrals. Based on computer-aided design, the high-voltage configuration is modelled using bi-cubic spline functions for the description of the boundary surfaces This problem definition requir es a numerical solution of the governing integral equations. Standard Gauss -Legendre quadrature is improved by an adaptive approach The describing sur faces are subdivided under distance-dependant aspects. Hence, different rul es of Gaussian quadrature are examined and compared to analytically obtaine d results. The solution is used to compute the potential and field strength on rite electrode or insulator contour The accuracy and the speed-zip of t he new method is demonstrated by several calculations.