Mathematical Programming formulations for the Alternating Current Optimal Power Flow problem
Optimization and Control
2020-09-25 v1
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
Cite
@article{arxiv.2007.05334,
title = {Mathematical Programming formulations for the Alternating Current Optimal Power Flow problem},
author = {Daniel Bienstock and Mauro Escobar and Claudio Gentile and Leo Liberti},
journal= {arXiv preprint arXiv:2007.05334},
year = {2020}
}