Power grid transient stabilization using Koopman model predictive control
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Abstract (arXiv)
This work addresses the problem of transient stabilization of a power grid, following a destabilizing disturbance. The model considered is the cascade interconnection of seven New England test models with the disturbance (e.g., a powerline failure) occurring in the first grid and propagating forward, emulating a wide-area blackout. We consider a data-driven control framework based on the Koopman operator theory, where a linear predictor, evolving on a higher dimensional (embedded) state-space, is built from observed data and subsequently used within a model predictive control (MPC) framework, allowing for the use of efficient computational tools of linear MPC to control this highly nonlinear dynamical system.
Key facts. Cited by 4 papers in the map (data through 7 Oct 2026). First posted on arXiv 28 Mar 2018.
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Citing papers per year: 2021: 2; 2022: 2.
4 papers.
- 2021Modern Koopman Theory for Dynamical Systemscited by 269
- 2022Neural Koopman Lyapunov Controlcited by 11
- 2022Data-Driven Linear Koopman Embedding for Networked Systems: Model-Predictive Grid Controlcited by 2
- 2021A purely data-driven framework for prediction, optimization, and control of networked processes: application to networked SIS epidemic modelcited by 1
- 2022Data-Driven Linear Koopman Embedding for Networked Systems: Model-Predictive Grid Control2 Jun 2022
- 2022Neural Koopman Lyapunov Control13 Jan 2022
- 2021A purely data-driven framework for prediction, optimization, and control of networked processes: application to networked SIS epidemic model1 Aug 2021
- 2021Modern Koopman Theory for Dynamical Systems24 Feb 2021