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Dynamic economic dispatch with valve-point effect (DED-VPE) is a non-convexand non-differentiable optimization problem which is difficult to solveefficiently. In this paper, a hybrid mixed integer linear programming (MILP)and interior point method (IPM), denoted by MILP-IPM, is proposed to solve sucha DED-VPE problem, where the complicated transmission loss is also included.Due to the non-differentiable characteristic of DED-VPE, the classicalderivative-based optimization methods can not be used any more. With the helpof model reformulation, a differentiable non-linear programming (NLP)formulation which can be directly solved by IPM is derived. However, if theDED-VPE is solved by IPM in a single step, the optimization will easily trap ina poor local optima due to its non-convex and multiple local minimacharacteristics. To exploit a better solution, an MILP method is required tosolve the DED-VPE without transmission loss, yielding a good initial point forIPM to improve the quality of the solution. Simulation results demonstrate thevalidity and effectiveness of the proposed MILP-IPM in solving DED-VPE.

A Hybrid MILP and IPM for Dynamic Economic Dispatch with Valve Point Effect