We investigate a mixed-integer variant of the alternating current optimal flow problem. The binary variables activate and deactivate power generators installed at a subset of nodes of the electrical grid. We propose some formulations and a mixed-integer semidefinite programming relaxation, from which we derive two mixed-integer diagonally dominant programming approximation (inner and outer, the latter providing a relaxation). We discuss dimensionality reduction methods to extract solution vectors from solution matrices, and present some computational results showing how both our approximations provide tight bounds.
CITATION STYLE
Salgado, E., Scozzari, A., Tardella, F., & Liberti, L. (2018). Alternating current optimal power flow with generator selection. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 10856 LNCS, pp. 364–375). Springer Verlag. https://doi.org/10.1007/978-3-319-96151-4_31
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