Abstract
The objective of this paper is to propose a new method for the optimal design of HV equipments. In this method, a shape function called NURB-spline (Non-Uniform Rational B-spline) is introduced to represent the contour of the electrode or insulator. NURB-spline has much better controllability, locality and continuity than other shape functions. The first two properties can significantly reduce the number of geometric variables and the last is a necessary condition for the smoothness of a field.
There are two distinctive processes in this algorithm. One is the determination of an optimal desired field which should be the smallest and uniformly implemented value. The other is the adaptive addition of a geometric variable to a region where the uniformity fails. Due to the abovementioned features, the entire process guarantees stable convergence. IEM (Integral Equation Method) is used for field calculations. Three examples are chosen from the conventional researches and simulated to verify the advantages of the proposed method.
