中文摘要：

针对电机工程科学计算时常遇到多元非线性函数既无解析解又难以觅得有用数值解的问题,提出并实现一种五维数据场可视化的方法,即将第4个自变量ω映射到时间t上,使因变量的空间色场为时间的函数f（x,y,z,t）,进而从可再现的色场中得到更为完整的视觉信息f（x,y,z,ω）。该方法在变频器用非对称T型无源滤波器多目标多约束条件的优化设计实践表明,在求此类4元非线性方程全局最优解及判别该数值解的鲁棒性时,将自变量和因变量之间的函数关系以这种五维可视化的形式显示出来,可快速地为设计者提供直观全面的决策信息。

英文摘要：

In the computation of multi-variable nonlinear functions in electric engineering,it is usually very difficult to find the theoretical solution and the meaningful corresponding digital solution.Therefore,a 5-D data field visualization method was developed to create a function of space color field f（x,y,z,t）,where the 4th variable ω is mapped to time t.Consequently,more completed visual information of f（x,y,z,ω） can be available in the restored color field.The 5-D method was used in the multi-object and multi-constraint optimum design of asymmetric T-type passive filters.Design results showed that,regarding the global optimum solution of 4-variable nonlinear equation and the robust analysis of corresponding digital solution,the 5-D visual method can reflect the relation between the function and the variables,and provide designers with direct decision-making information.