This paper is a sequel to and builds upon the survey paper on optimal power flow (OPF)[4]. It
provides an up-to-date critical review of the recent major advancements in the OPF state-of …

Conic optimization has recently emerged as a powerful tool for designing tractable and
guaranteed algorithms for power system operation. On the one hand, tractability is crucial …

The power flow equations relate the power injections and voltages in an electric power
system and are therefore key to many power system optimization and control problems …

This tutorial summarizes recent advances in the convex relaxation of the optimal power flow
(OPF) problem, focusing on structural properties rather than algorithms. Part I presents two …

Distribution networks are usually multiphase and radial. To facilitate power flow computation
and optimization, two semidefinite programming (SDP) relaxations of the optimal power flow …

This paper proposes three strong second order cone programming (SOCP) relaxations for
the AC optimal power flow (OPF) problem. These three relaxations are incomparable to …

Convex relaxations of non-convex optimal power flow (OPF) problems have recently
attracted significant interest. While existing relaxations globally solve many OPF problems …

This paper proposes a sequential convex optimization method to solve broader classes of
optimal power flow (OPF) problems over radial networks. The non-convex branch power …

Improved formulations of and solution techniques for the alternating current optimal power
flow (ACOPF) problem are critical to improving current market practices in economic …

It has been recently proven that the semidefinite programming (SDP) relaxation of the
optimal power flow problem over radial networks is exact under technical conditions such as …