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 …

The power flow equations are at the core of most of the computations for designing and
operating electric grids. This system of multivariate nonlinear equations relate the power …

Robust simulation is essential for reliable operation and planning of transmission and
distribution power grids. At present, disparate methods exist for steady-state analysis of the …

For a nonlinear RLC network, Brayton and Moser have proposed the so-called general
mixed potential function (GMPF) whose time-derivative is negative semi-definite. Then, the …

The solution to an optimal power flow (OPF) problem provides a minimum cost operating
point for an electric power system. The performance of OPF solution techniques strongly …

To avoid instability caused by abrupt load changes or contingencies, the region of attraction
(ROA) estimation is significant for large-signal stability analysis of the power system. This …

Due to high energy efficiency and low energy losses, DC microgrid is a promising solution
for integrating renewable energy source. Nevertheless, the system may suffer instability …

The Holomorphic Embedding Load-Flow Method (HELM) was recently introduced as a
novel technique to constructively solve the power-flow equations in power grids, based on …

The rapid increase of distributed energy resources (DERs) installation at residential and
commercial levels can pose significant technical issues on the voltage levels and capacity of …