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This paper presents an interpretable machine learning approach that characterizes load dynamics within an operator-theoretic framework for electricity load forecasting in power grids. We represent the dynamics of load data using the Koopman…

机器学习 · 计算机科学 2024-12-02 Ali Tavasoli , Behnaz Moradijamei , Heman Shakeri

This paper examines small-signal stability of electrical networks composed dominantly of three-phase grid-following inverters. We show that the mere existence of a high-voltage power flow solution does not necessarily imply small-signal…

最优化与控制 · 数学 2020-05-22 Saber Jafarpour , Victor Purba , Sairaj V. Dhople , Brian Johnson , Francesco Bullo

Synchrophasor data provide unprecedented opportunities for inferring power system dynamics, such as estimating voltage angles, frequencies, and accelerations along with power injection at all buses. Aligned to this goal, this work puts…

系统与控制 · 电气工程与系统科学 2022-01-14 Mana Jalali , Vassilis Kekatos , Siddharth Bhela , Hao Zhu , Virgilio Centeno

This paper presents a distributed data-driven control to regulate the voltage in an alternate current microgrid (MG). Following the hierarchical control frame for MGs, a secondary control for voltage is designed with a data-driven strategy…

系统与控制 · 电气工程与系统科学 2022-08-30 Vladimir Toroa , Duvan Tellez-Castro , Eduardo Mojica-Nava , Naly Rakoto-Ravalontsalama

The stability of Boolean networks has attracted much attention due to its wide applications in describing the dynamics of biological systems. During the past decades, much effort has been invested in unveiling how network structure and…

物理与社会 · 物理学 2018-03-21 Jiannan Wang , Sen Pei , Wei Wei , Xiangnan Feng , Zhiming Zheng

This paper proposes a mode-in-state contribution factor for a class of nonlinear dynamical systems by utilizing spectral properties of the Koopman operator and sensitivity analysis. Using eigenfunctions of the Koopman operator for a target…

系统与控制 · 电气工程与系统科学 2022-05-24 Kenji Takamichi , Yoshihiko Susuki , Marcos Netto , Atsushi Ishigame

Model uncertainty of inverter-based resources (IBRs) presents significant challenges for power system control and stability. This work studies secondary frequency regulation in inverter-based power systems using a Data-driven Koopman…

系统与控制 · 电气工程与系统科学 2026-04-03 Sohrab Rezaei , Xiaomo Wang , Sijia Geng

This paper proposes a new approach to perform small-signal stability analysis based on linearization of implicit multilinear models. Multilinear models describe the system dynamics by multilinear functions of state, input, and algebraic…

系统与控制 · 电气工程与系统科学 2026-03-10 Christoph Kaufmann , Georg Pangalos , Gerwald Lichtenberg , Oriol Gomis-Bellmunt

Community detection is a challenging and relevant problem in various disciplines of science and engineering like power systems, gene-regulatory networks, social networks, financial networks, astronomy etc. Furthermore, in many of these…

系统与控制 · 电气工程与系统科学 2022-04-06 Subhrajit Sinha

Continuous monitoring of the spatio-temporal dynamic behavior of critical infrastructure networks, such as the power systems, is a challenging but important task. In particular, accurate and timely prediction of the (electro-mechanical)…

系统与控制 · 电气工程与系统科学 2022-02-17 Sai Pushpak Nandanoori , Sheng Guan , Soumya Kundu , Seemita Pal , Khushbu Agarwal , Yinghui Wu , Sutanay Choudhury

We introduce the dynamics mode decomposition for monitoring wide-area power grid networks from sparse measurement data. The mathematical framework fuses data from multiple sensors based on multivariate statistics, providing accurate full…

斑图形成与孤子 · 物理学 2019-06-11 J. Jorge Ramos , J. Nathan Kutz

This paper shows that a necessary and sufficient condition for the small-signal stability of an inverter-integrated power system can be expressed in terms of semidefinite matrix inequalities determined only by the synchronous reactance of…

系统与控制 · 电气工程与系统科学 2025-03-27 Taku Nishino , Yoshiyuki Onishi , Takayuki Ishizaki

Operating modern power grids with stability guarantees is admittedly imperative. Classic stability methods are not well-suited for these dynamic systems as they involve centralized gathering of information and computation of the system's…

系统与控制 · 电气工程与系统科学 2020-03-18 Stefanos Baros , Andrey Bernstein , Nikos Hatziargyriou

Conventionally, the dynamic state estimation of variables in power networks is performed based on the forecasting-aided model of bus voltages. This approach is effective in the stiff grids at the transmission level, where the bus voltages…

系统与控制 · 电气工程与系统科学 2021-10-26 Bang L. H. Nguyen , Tuyen V. Vu , Thomas H. Ortmeyer , Tuan Ngo

This paper proposes a systematic framework to assess the small-signal stability of power systems with high shares of grid-following inverter-based resources (IBRs) under varying controller parameters and operating conditions. Stability…

系统与控制 · 电气工程与系统科学 2026-05-27 Francesco Conte , Fernando Mancilla-David , Federico Silvestro , Samuele Grillo

This paper proposes a data-driven approach to detect the switching actions and topology transitions in distribution networks. It is based on the real time analysis of time-series voltages measurements. The analysis approach draws on data…

系统与控制 · 计算机科学 2016-11-17 Guido Cavraro , Reza Arghandeh , Alexandra von Meier , Kameshwar Poolla

Isostable reduction is a powerful technique that can be used to characterize behaviors of nonlinear dynamical systems in a basis of slowly decaying eigenfunctions of the Koopman operator. When the underlying dynamical equations are known,…

动力系统 · 数学 2021-07-28 Dan Wilson

Due to the energy transition, today's electrical networks include synchronous machines and inverter-based resources interfacing renewable energies such as wind turbines, solar panels, and Battery Energy Storage Systems to the grid. In such…

系统与控制 · 电气工程与系统科学 2024-02-08 Pamela Zoghby , Bogdan Marinescu , Antoine Rosse , Gregoire Prime

This paper uses data-driven operator theoretic approaches to explore the global phase space of a dynamical system. We defined conditions for discovering new invariant subspaces in the state space of a dynamical system starting from an…

动力系统 · 数学 2021-07-01 Sai Pushpak Nandanoori , Subhrajit Sinha , Enoch Yeung

Over the past decades, the Koopman operator has been widely applied in data-driven control, yet its theoretical foundations remain underexplored. This paper establishes a unified framework to address the robust stabilization problem in…

系统与控制 · 电气工程与系统科学 2025-08-18 Yicheng Lin , Bingxian Wu , Nan Bai , Zhiyong Sun , Yunxiao Ren , Chuanze Chen , Zhisheng Duan