In distributed optimization of multi-agent systems, agents cooperate to minimize a global
function which is a sum of local objective functions. Motivated by applications including …

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

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 paper reviews approaches for facilitating the integration of small-scale distributed
energy resources (DER) into low-and medium-voltage networks, in the context of the …

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 …

Distributed optimal power flow (OPF) is a challenging non-linear, non-convex problem of
central importance to the future power grid. Although many approaches are currently …

Optimal power flow (OPF) is considered for microgrids, with the objective of minimizing
either the power distribution losses, or, the cost of power drawn from the substation and …

This paper reviews distributed/decentralized algorithms to solve the optimal power flow
(OPF) problem in electric power systems. Six decomposition coordination algorithms are …

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

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 …