关键词: 微分进化；等式约束；参数方程

Abstract: A new differential evolution algorithm is presented to solve the problem with equality constrained optimization. The parametric equation method was taken to keep particles satisfying equality constraints，and the penalty method was used to handle inequality constraints, thus reducing the dimensionality of the optimization problem. The experiment results demonstrate that the new differential evolution algorithm is superior to some other methods, and it is effective.

Key words: differential evolution; equality constraints; parametric equation