Electric distribution grid operations typically rely on both centralized optimization and local
non-optimal control techniques. As an alternative, distribution system operational practices …

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 …

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 …

Energy management in microgrids is typically formulated as a nonlinear optimization
problem. Solving it in a centralized manner does not only require high computational …

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

Dispersed storage systems (DSSs) can represent an important near-term solution for
supporting the operation and control of active distribution networks (ADNs). Indeed, they …

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 …

In this paper, we present a procedure for the optimal siting and sizing of energy storage
systems (ESSs) owned, and directly controlled by network operators of active distribution …

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