Economic emission dispatch with valve-point effect in power systems is a complex multimodal, nonconvex and constrained multi-objective optimization problem. To solve this problem, a hybrid multi-objective algorithm with effective constraint handling method based on Harris hawks optimization and differential evolution is proposed: (1) the concept of Pareto domination is integrated into Harris hawks optimization to deal with economic emission dispatch problem with two conflicting objectives; (2) the optimization mechanism of Harris hawks optimization is modified to enhance its optimization capabilities; (3) a non-dominated sorting method based on new crowding distance, which can obtain Pareto optimal front with excellent uniformity, is used to maintain the external archive and to select the guiders; (4) aiming at the constraints of economic emission dispatch problem, a feasible solution dominated constraint processing method is adopted to obtain feasible solutions; (5) moreover, to enhance the convergence performance of the algorithm, a differential evolution is used to evolve the individuals in the archive. Experimental results on the IEEE 30-bus 6-unit test system demonstrate that the quality of the solutions obtained by the suggested approach is better than that of several existing algorithms.

电力系统中具有阀点效应的经济排放调度是一个复杂的多峰，非凸且受约束的多目标优化问题。为解决这一问题，提出了一种基于哈里斯鹰优化和差分进化的有效约束处理方法的混合多目标算法：（1）将帕累托支配概念整合到哈里斯鹰优化中，以解决两个经济排放调度问题。目标相互矛盾；（2）修改了哈里斯鹰队优化的优化机制，以增强其优化能力；（3）基于新的拥挤距离的非支配排序方法，可以得到帕累托最优前锋，具有良好的均匀性，用于维护外部档案和选择指导者；（4）针对经济排放调度问题的约束条件，采用可行解主导约束处理方法获得可行解。（5）此外，为了提高算法的收敛性能，使用了差分进化算法来演化档案中的个体。在IEEE 30总线6单元测试系统上的实验结果表明，通过建议的方法获得的解决方案的质量优于几种现有算法。