Mathematical programming formulations for the alternating current optimal power flow problem

Dan Bienstock (), Mauro Escobar (), Claudio Gentile () and Leo Liberti ()
Additional contact information
Dan Bienstock: Columbia University
Mauro Escobar: Institut Polytechnique de Paris
Claudio Gentile: IASI, CNR
Leo Liberti: Institut Polytechnique de Paris

4OR, 2020, vol. 18, issue 3, No 1, 249-292

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; Smart grid; Complex numbers; 90C90; 90C26 (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (10)

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DOI: 10.1007/s10288-020-00455-w

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