  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.

Optimization and Control