Transient stability analysis of a power system is concerned with the system's ability to remain
in synchronism following a disturbance. In utility planning, transient stability is studied by …

Power grids are critical infrastructure in modern society, and there are well-established
theories for the stability and control of traditional power grids under a centralized paradigm …

The emergence of synchronization in a network of coupled oscillators is a fascinating
subject of multidisciplinary research. This survey reviews the vast literature on the theory …

The emergence of synchronization in a network of coupled oscillators is a fascinating topic
in various scientific disciplines. A widely adopted model of a coupled oscillator network is …

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 …

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 …

Future power networks are expected to incorporate a large number of distributed energy
resources, which introduce randomness and fluctuations as well as fast control capabilities …

The increasing penetration of renewable energy sources (RESs) can challenge both power
system planners and operators to maintain system reliability. Potential power system stability …

Considerable progress has been made in recent years in the application of direct methods
to power system transient stability analysis. The methods are derived largely based on …

This paper presents an analysis of static stability in electric power systems. The study is
based on a model consisting of the classical swing equation characterization for generators …