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 …

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 …

We consider the problem of deriving an explicit approximate solution of the nonlinear power
equations that describe a balanced power distribution network. We give sufficient conditions …

The problem of optimal control of power distribution systems is becoming increasingly
compelling due to the progressive penetration of distributed energy resources in this specific …

We consider a class of local volt/var control schemes where the control decision on the
reactive power at a bus depends only on the local bus voltage. These local algorithms form …

Using a two-stage solution methodology and a modified simulated annealing technique, the
authors develop a solution algorithm to the network reconfiguration problem, which is a …

Distribution microgrids are being challenged by reverse power flows and voltage
fluctuations due to renewable generation, demand response, and electric vehicles …

This paper proposes a hybrid particle swarm optimization (HPSO) for a practical distribution
state estimation. The proposed method considers nonlinear characteristics of the practical …

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 …

A new formulation of the network reconfiguration problem for both loss reduction and load
balancing that takes into consideration load constraints and operational constraints is …