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Dynamic economic dispatch (DED) problem considering prohibited operatingzones (POZ), ramp rate constraints, transmission losses and spinning reserveconstraints is a complicated non-linear problem which is difficult to solveefficiently. In this paper, a mixed integer linear programming (MILP) method isproposed to solve such a DED problem. Firstly, a novel MILP formulation for DEDproblem without considering the transmission losses, denoted by MILP-1, ispresented by using perspective cut reformulation technique. When thetransmission losses are considered, the quadratic terms in the transmissionlosses are replaced by their first order Taylor expansions, and then an MILPformulation for DED considering the transmission losses, denoted by MILP-2, isobtained. Based on MILP-1 and MILP-2, an MILP-iteration algorithm (MILP-IA) isproposed to solve the complicated DED problem. The effectiveness of the MILP-1and MILP-IA are assessed by several cases and the simulation results show thatboth of them can solve to competitive solutions in a short time.

Solution to dynamic economic dispatch with prohibited operating zones via MILP