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 …

Abstract The Unit Commitment problem in energy management aims at finding the optimal
production schedule of a set of generation units, while meeting various system-wide …

This article proposes a two-level network-constrained peer-to-peer (P2P) transactive energy
for multi-microgrids (MGs), which guarantees the distribution power network security and …

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 …

The optimal power flow (OPF) problem is nonconvex and generally hard to solve. In this
paper, we propose a semidefinite programming (SDP) optimization, which is the dual of an …

Convex relaxations of the power flow equations and, in particular, the semi-definite
programming (SDP) and second-order cone (SOC) relaxations, have attracted significant …

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 …

Over the past half-century, Optimal Power Flow (OPF) has become one of the most important
and widely studied nonlinear optimization problems. In general, OPF seeks to optimize the …

We consider the problem of exploiting the microgenerators dispersed in the power
distribution network in order to provide distributed reactive power compensation for power …

Restructuring of the electric power industry along with mandates to integrate renewable
energy sources is introducing new challenges for the electric power system. Intermittent …