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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。
Aiming at the problem that the multivariate nonlinear function is often difficult to find the useful numerical solution for the scientific calculation of electrical engineering, a method of visualizing the five-dimensional data field is proposed and implemented. The fourth independent variable ω is mapped to the time t , The spatial color field of the dependent variable is taken as a function f (x, y, z, t) of time, and the more complete visual information f (x, y, z, ω) is obtained from the reproducible color field. The optimization design of multi-objective and multi-constraint conditions for asymmetric T-type passive filter in the inverter shows that when seeking the global optimal solution of such a 4-element nonlinear equation and judging the robustness of the numerical solution, The functional relationship between variables and dependent variables is displayed in this five-dimensional visualization, which provides designers with intuitive and comprehensive decision-making information quickly.