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

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