Bissan Ghaddar, Jakub Marecek, et al.
IEEE Transactions on Power Systems
Many steady-state problems in power systems, including rectangular power-voltage formulations of optimal power flows in the alternating-current model, can be cast as polynomial optimization problems (POP). For a POP, one can derive strong convex relaxations, or rather hierarchies of increasingly strong, but increasingly computationally challenging convex relaxations. We study means of switching from solving a convex relaxation to Newton's method working on a non-convex (augmented) Lagrangian of the POP.
Bissan Ghaddar, Jakub Marecek, et al.
IEEE Transactions on Power Systems
Jing Xu, Jakub Marecek
Allerton 2018
Jakub Marecek, Peter Richtárik, et al.
NAOIII 2014
Jakub Marecek, Martin Mevissen, et al.
PSCC 2016