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Journal Articles 4OR: A Quarterly Journal of Operations Research Year : 2020

Mathematical programming formulations for the alternating current optimal power flow problem

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Abstract

Power flow refers to the injection of power on the lines of an electrical grid, so that all the injections at the nodes form a consistent flow within the network. Optimality, in this setting, is usually intended as the minimization of the cost of generating power. Current can either be direct or alternating: while the former yields approximate linear programming formulations, the latter yields formulations of a much more interesting sort: namely, nonconvex nonlinear programs in complex numbers. In this technical survey, we derive formulation variants and relaxations of the alternating current optimal power flow problem.
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Dates and versions

hal-03030149 , version 1 (29-11-2020)

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Dan Bienstock, Mauro Escobar, Claudio Gentile, Leo Liberti. Mathematical programming formulations for the alternating current optimal power flow problem. 4OR: A Quarterly Journal of Operations Research, 2020, 18 (3), pp.249-292. ⟨10.1007/s10288-020-00455-w⟩. ⟨hal-03030149⟩
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