Mathematical optimization is one of the cornerstones of modern engineering research and
practice. Yet, throughout all application domains, mathematical optimization is, for the most …

Optimization underpins many of the challenges that science and technology face on a daily
basis. Recent years have witnessed a major shift from traditional optimization paradigms …

Abstract The Optimal Power Flow (OPF) problem is a fundamental building block for the
optimization of electrical power systems. It is nonlinear and nonconvex and computes the …

We develop, in this paper, a machine learning approach to optimize the real-time operation
of electric power grids. In particular, we learn feasible solutions to the AC optimal power flow …

High-level penetration of intermittent renewable energy sources has introduced significant
uncertainties and variabilities into modern power systems. In order to rapidly and …

To cope with increasing uncertainty from renewable generation and flexible load, grid
operators need to solve alternative current optimal power flow (AC-OPF) problems more …

In this paper, we explore a new approach to synchronization of coupled oscillators. In
contrast to the celebrated Kuramoto model, we do not work in polar coordinates and do not …

This paper develops and analyzes feedback-based online optimization methods to regulate
the output of a linear time invariant (LTI) dynamical system to the optimal solution of a time …

With the increasing penetration of renewable energy, power grid operators are observing
both fast and large fluctuations in power and voltage profiles on a daily basis. Fast and …

AC optimal power flow (AC-OPF) problems need to be solved more frequently in the future to
maintain stable and economic power system operation. To tackle this challenge, a deep …