基于灵敏度分析的绝缘结构自动设计

Automatic design of insulation structure based on sensitivity analysis

在有限元方法基础上,给出了计算电场强度对几何设计变量灵敏度的一种新方法,使灵敏度的求解可以与求节点电位求解相类似。采用埃尔米特插值多项式代替泰勒展开式逼近目标函数,极大地降低了高阶交叉灵敏度的阶数。同时,建立了利用埃尔米特插值进行自动设计的程序,通过对大型电力变压器绝缘结构的自动设计,表明了该程序是非常有效的。

Based on the finite element method, a new algorithm for evaluating the sensitivity of electric field intensity to geometric parameters is presented. The sensitivity can be evaluated as the nodal potential solution. Adopting the Hermite polynomial instead of the Taylor polynomial can greatly decrease the order of high-order cross sensitivity. A procedure of automatic design is set by means of the Hermite polynomial. Numerical results show that this procedure is very effective and can be used in the automatic design of the insulation structure in large power transformer.