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

2017/02/16 by Shanshan Pan, Pan, Shanshan, Jinbao Jian +3
Engineering · #Electric Power System Optimization #FOS: Mathematics #Microgrid Control and Optimization #Optimal Power Flow Distribution #Optimization and Control (math.OC)

paper · pdf · doi:10.48550/arxiv.1702.04937

openalex publication_date 2017/02/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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