Historically, centrally computed algorithms have been the primary means of power system
optimization and control. With increasing penetrations of distributed energy resources …

We propose a branch flow model for the analysis and optimization of mesh as well as radial
networks. The model leads to a new approach to solving optimal power flow (OPF) that …

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 …

The optimal power flow (OPF) problem determines a network operating point that minimizes
a certain objective such as generation cost or power loss. It is nonconvex. We prove that a …

This paper is concerned with the optimal power flow (OPF) problem. We have recently
shown that a convex relaxation based on semidefinite programming (SDP) is able to find a …

This paper addresses the problem of voltage regulation in power distribution networks with
deep-penetration of distributed energy resources, eg, renewable-based generation, and …

The application of semidefinite programming to the optimal power flow (OPF) problem has
recently attracted significant research interest. This paper provides advances in modeling …

This is a short survey of recent advances in the convex relaxation of the optimal power flow
problem. Our focus is on understanding structural properties, especially the underlying …