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 …

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 …

We propose general notions to deal with large scale polynomial optimization problems and
demonstrate their efficiency on a key industrial problem of the 21st century, namely the …

We propose a homogeneous primal-dual interior-point method to solve sum-of-squares
optimization problems by combining nonsymmetric conic optimization techniques and …

Power flow refers to the injection of power on the lines of an electrical grid, so that all the
injections at the nodes form a consistent flow within the network. Optimality, in this setting, is …

This paper presents a quadratically constrained programming (QCP) model to tackle the
optimal power flow (OPF) problem in distribution networks. The proposed model is fast …

Circuit polynomials are polynomials with properties that make it easy to compute sharp and
certifiable global lower bounds for them. Consequently, one may use them to find certifiable …

Optimization is at the core of control theory and appears in several areas of this field, such
as optimal control, distributed control, system identification, robust control, state estimation …

Power flow refers to the injection of power on the lines of an electrical grid, so that all the
injections at the nodes form a consistent flow within the network. Optimality, in this setting, is …

Electricity markets rely on the rapid solution of the optimal power flow (OPF) problem to
determine generator power levels and set nodal prices. Traditionally, the OPF problem has …