Two multi - objective optimal problems are solved by using the proposed algorithm . the numerical results demonstrated that the proposed algorithm is a robust vector optimizer for engineering multi - objective design problems 最后将该算法运用于一个变频调速系统中输入滤波器的电感线圈尺寸优化,证明该方法可以有效地运用于变频调速系统的电磁兼容设计。