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In this paper, we present a novel approach to identify the generators and states responsible for the small-signal stability of power networks. To this end, the newly developed notion of information transfer between the states of a dynamical…

Systems and Control · Computer Science 2018-09-21 Subhrajit Sinha , Pranav Sharma , Umesh Vaidya , Venkataramana Ajjarapu

In this paper, we propose linear operator theoretic framework involving Koopman operator for the data-driven identification of power system dynamics. We explicitly account for noise in the time series measurement data and propose robust…

Signal Processing · Electrical Eng. & Systems 2019-03-19 Pranav Sharma , Bowen Huang , Umesh Vaidya , Venkatramana Ajjarapu

With the advancement of sensing and communication in power networks, high-frequency real-time data from a power network can be used as a resource to develop better monitoring capabilities. In this work, a systematic approach based on…

Systems and Control · Electrical Eng. & Systems 2020-03-12 Subhrajit Sinha , Sai Pushpak Nandanoori , Enoch Yeung

This paper proposes an online data-driven Koopman-inspired identification and control method for microgrid secondary voltage and frequency control. Unlike typical data-driven methods, the proposed method requires no warm-up training yet…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Xun Gong , Xiaozhe Wang

Networks are landmarks of many complex phenomena where interweaving interactions between different agents transform simple local rule-sets into nonlinear emergent behaviors. While some recent studies unveil associations between the network…

Social and Information Networks · Computer Science 2021-08-05 Ali Tavasoli , Teague Henry , Heman Shakeri

This paper proposes a joint input and state dynamic estimation scheme for power networks in microgrids and active distribution systems with unknown inputs. The conventional dynamic state estimation of power networks in the transmission…

Systems and Control · Electrical Eng. & Systems 2021-08-04 Bang L. H. Nguyen , Tuyen V. Vu , Joseph M. Guerrero , Mischael Steurer , Karl Schoder , Tuan Ngo

The system frequency is a critical measure of power system stability and understanding, and modeling it are key to ensure reliable power system operations. Koopman-based autoencoders are effective at approximating complex nonlinear data…

Systems and Control · Electrical Eng. & Systems 2026-03-19 Eric Lupascu , Xiao Li , Benjamin Schäfer

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…

Optimization and Control · Mathematics 2018-03-29 Milan Korda , Yoshihiko Susuki , Igor Mezić

Identifying the location of a disturbance and its magnitude is an important component for stable operation of power systems. We study the problem of localizing and estimating a disturbance in the interconnected power system. We take a…

Machine Learning · Computer Science 2018-06-06 Hyang-Won Lee , Jianan Zhang , Eytan Modiano

In a power grid with growing penetrations of renewable energy sources, inverters play a larger role in the dynamic interactions among network components. However, much is yet to be studied regarding inverter-dominated grid stability. This…

Systems and Control · Electrical Eng. & Systems 2023-11-22 Ruth Kravis , Gabriel Colon-Reyes , Duncan Callaway

In this paper, we propose a data-driven energy storage system (ESS)-based method to enhance the online small-signal stability monitoring of power networks with high penetration of intermittent wind power. To accurately estimate inter-area…

Systems and Control · Electrical Eng. & Systems 2021-02-23 Ilias Zenelis , Georgia Pierrou , Xiaozhe Wang

The Koopman operator framework can be used to identify a data-driven model of a nonlinear system. Unfortunately, when the data is corrupted by noise, the identified model can be biased. Additionally, depending on the choice of lifting…

Systems and Control · Electrical Eng. & Systems 2024-09-02 Louis Lortie , James Richard Forbes

Impedance is an intuitive and efficient way for dynamic representation of power electronics devices. One of the evident strengths, when compared to other small-signal methods, is the natural association with circuit theory. This makes them…

Systems and Control · Computer Science 2018-11-16 Chen Zhang , Marta Molinas , Atle Rygg , Xu Cai

We report a new approach to estimating power system inertia directly from time-series data on power system dynamics. The approach is based on the so-called Koopman Mode Decomposition (KMD) of such dynamic data, which is a nonlinear…

Signal Processing · Electrical Eng. & Systems 2020-10-01 Yoshihiko Susuki , Ryo Hamasaki , Atsushi Ishigame

This study proposes a control strategy to ensure the safe operation of modern power systems with high penetration of inverter-based resources (IBRs) within an optimal operation framework. The objective is to obtain operating points that…

Systems and Control · Electrical Eng. & Systems 2026-01-26 Francesca Rossi , Juan Carlos Olives-Camps , Eduardo Prieto-Araujo , Oriol Gomis-Bellmunt

The stability of inverter-dominated power grids remains an active area of research. This paper presents novel sufficient conditions for ensuring small-signal stability in lossless and constant $R/X$ grids with highly heterogeneous mixes of…

Optimization and Control · Mathematics 2025-07-03 Jakob Niehues , Robin Delabays , Anna Büttner , Frank Hellmann

Stabilization, disturbance rejection, and control of optical beams and optical spots are ubiquitous problems that are crucial for the development of optical systems for ground and space telescopes, free-space optical communication…

Systems and Control · Electrical Eng. & Systems 2023-05-24 Aleksandar Haber , Michael Krainak

When complex systems with nonlinear dynamics achieve an output performance objective, only a fraction of the state dynamics significantly impacts that output. Those minimal state dynamics can be identified using the differential geometric…

Optimization and Control · Mathematics 2022-10-19 Shara Balakrishnan , Aqib Hasnain , Robert Egbert , Enoch Yeung

To support N-1 pre-fault transient stability assessment, this paper introduces a new data collection method in a data-driven algorithm incorporating the knowledge of power system dynamics. The domain knowledge on how the disturbance effect…

Systems and Control · Electrical Eng. & Systems 2022-03-08 Seyedali Meghdadi , Guido Tack , Ariel Liebman , Nicolas Langrené , Christoph Bergmeir

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…

Systems and Control · Computer Science 2018-05-08 Yoshihiko Susuki , Igor Mezic , Fredrik Raak , Takashi Hikihara
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