Hybrid PSO-SQP for solving combined heat and power dynamic economic emission dispatch problem with non-smooth cost function

Abstract

In this paper we propose a hybrid particle swarm optimization (PSO) and sequential quadratic programming (SQP) for solving the combined heat and power dynamic economic emission dispatch (CHPDEED) problem. The primary objective of CHPDEED is to determine the optimal heat and power generation schedule of the online generating units over a fixed interval by simultaneously minimizing the generation cost and emission level and satisfying the dynamic constraints and other constraints. Taking into account the valve point effects, CHPDEED is considered as a multi-objective optimization problem with non-smooth characteristics. In the hybrid method, PSO is used as a global search to find near global optimal solution and this solution is used as initial for the SQP to find the global optimal solution at the end. The proposed method is verified using a test system consisting of eleven units and considering transmission line losses and valve point effects. The numerical results show the effectiveness and the superiority of the introduced method over other published methods.