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math.OC2019
Benders' decomposition of the unit commitment problem with semidefinite relaxation of AC power flow constraints
M. Paredes, L. S. A. Martins, S. Soares +1
In this paper we present a formulation of the unit commitment problem with AC power flow constraints. It is solved by a Benders decomposition in which the unit commitment master pr…
math.OC2017
A Low-Rank Rounding Heuristic for Semidefinite Relaxation of Hydro Unit Commitment Problems
M. Paredes, L. S. A. Martins
Hydro unit commitment is the problem of maximizing water use efficiency while minimizing start-up costs in the daily operation of multiple hydro plants, subject to constraints on s…
math.OC2017
Inexactness of the Hydro-Thermal Coordination Semidefinite Relaxation
M. Paredes, L. S. A. Martins
Hydro-thermal coordination is the problem of determining the optimal economic dispatch of hydro and thermal power plants over time. The physics of hydroelectricity generation is co…