Applied Koopman operator theory for power systems technology

Applied Koopman Operator Theory for Power Systems Technology

Koopman operator is a composition operator defined for a dynamical system described by nonlinear differential or difference equation. Although the original system is nonlinear and evolves on a finite-dimensional state space, the Koopman operator itself is linear but infinite-dimensional (evolves on a function space). This linear operator captures the full information of the dynamics described b...

Global Stability and Dynamics of Strongly Nonlinear Systems using Koopman Operator Theory

Shaping Pulses to Control Bistable Monotone Systems Using Koopman Operator

In this paper, we further develop a recently proposed control method to switch a bistable system between its steady states using temporal pulses. The motivation for using pulses comes from biomedical and biological applications (e.g. synthetic biology), where it is generally difficult to build feedback control systems due to technical limitations in sensing and actuation. The original framework...

Agent Technology Applied to the Protection of Power Systems

Introduction Power systems have undergone a great deal of change in the past decade. The United States electric power grid was deregulated in the late 1990’s. As a result, it is increasingly operated with smaller generation reserves and more transmission congestion. If deregulation continues, it seems likely that power flows will be larger and will fluctuate to a greater extent in future years....

Agent-based Technology Applied to Power Systems Reliability

17 ABSTRACT From the power systems perspective, the world has experienced dramatic changes over the past few years. Global climate warnings associated with economic progress and other factors have led the power systems to undergo changes, mainly affecting the way they are designed, planned, operated and managed. A significant amount of activity is underway on the technological, policy and econo...