A Mixed Integer Linear Programming Method for Dynamic Economic Dispatch with Valve Point Effect

Abstract

In this paper, a mixed integer linear programming (MILP) formulation is proposed to solve the dynamic economic dispatch with valve-point effect (DED-VPE). Based on piecewise linearization technique, the non-convex and non-smooth generation cost is reformulated into a linear lower approximation which is better than the quadratic one, yielding an MILP formulation for the DED-VPE. When the segment parameter is set appropriately, the MILP formulation can be solved by a mixed integer programming (MIP) solver directly and efficiently. Thus, a global optimal solution within a preset tolerance can be guaranteed for the MILP formulation. Simulation results show that the proposed MILP formulation can be solved to reliable solutions in reasonable time.

We submit our first version manuscript to IEEE Power Engineering Letters on 19-Aug-2016(Manuscript ID: PESL-00143-2016). Unfortunately, our manuscript was rejected. After a carefully revision, we have the current version. In this manuscript, we analyze the superiority of the proposed MILP formulation for the DED-VPE rigorously