Mathematical programming formulations for the alternating current optimal power flow problem

Daniel Bienstock (), Mauro Escobar (), Claudio Gentile () and Leo Liberti ()
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Daniel Bienstock: Columbia University
Mauro Escobar: Institut Polytechnique de Paris
Claudio Gentile: CNR
Leo Liberti: Institut Polytechnique de Paris

Annals of Operations Research, 2022, vol. 314, issue 1, No 11, 277-315

Abstract: 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.

Keywords: ACOPF; OPF; Power grid; Smart grid; Complex numbers; 90C90; 90C26 (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10479-021-04497-z

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