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

Electrical energy is critical to the advancement of both social and economic growth. Because
of its importance, the electricity industry has historically been controlled and operated by …

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 …

Electrical power systems have been traditionally designed to be reliable during normal
conditions and abnormal but foreseeable contingencies. However, withstanding unexpected …

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 …

A multitude of optimization tasks ensue in the context of the smart grid, often exhibiting
undesirable characteristics like non-convexity, mixed types of design variables and multiple …

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 …

This paper provides a review on the most relevant research works conducted to solve
natural gas transportation problems via pipeline systems. The literature reveals three major …

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 …