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The synchronized operation of power generators is the foundation of electric power network stability and a key to the prevention of undesired power outages and blackouts. Here, we derive the conditions that guarantee synchronization in…

Systems and Control · Electrical Eng. & Systems 2022-06-01 Amirhossein Sajadi , Rick Wallace Kenyon , Bri-Mathias Hodge

Intelligent attackers can suitably tamper sensor/actuator data at various Smart grid surfaces causing intentional power oscillations, which if left undetected, can lead to voltage disruptions. We develop a novel combination of formal…

Cryptography and Security · Computer Science 2023-06-16 Suman Maiti , Anjana B , Sunandan Adhikary , Ipsita Koley , Soumyajit Dey

This paper develops a hybrid system modeling framework for inverters that switch between grid-following and grid-forming control schemes. In particular, such inverters are modeled as hybrid automata with guard conditions on voltage and…

Systems and Control · Electrical Eng. & Systems 2025-11-19 Bukunmi G. Odunlami , Marcos Netto

Structural controllability has been proposed as an analytical framework for making predictions regarding the control of complex networks across myriad disciplines in the physical and life sciences (Liu et al., Nature:473(7346):167-173,…

Physics and Society · Physics 2015-05-28 Noah J. Cowan , Erick J. Chastain , Daril A. Vilhena , James S. Freudenberg , Carl T. Bergstrom

As the energy transition transforms power grids across the globe, it poses several challenges regarding grid design and control. In particular, high levels of intermittent renewable generation complicate the task of continuously balancing…

Optimization and Control · Mathematics 2018-08-07 Randall Martyr , Benjamin Schaefer , Christian Beck , Vito Latora

We consider the problem of stability analysis for distribution grids with droop-controlled inverters and dynamic distribution power lines. The inverters are modeled as voltage sources with controllable frequency and amplitude. This problem…

Systems and Control · Electrical Eng. & Systems 2020-03-27 Stefanos Baros , Christoforos N. Hadjicostis , Francis O'Sullivan

The AC frequency in electrical power systems is conventionally regulated by synchronous machines. The gradual replacement of these machines by asynchronous renewable-based generation, which provides little or no frequency control, increases…

Optimization and Control · Mathematics 2019-06-13 Richard Pates , Enrique Mallada

Ad hoc electrical networks are formed by connecting power sources and loads without pre-determining the network topology. These systems are well-suited to addressing the lack of electricity in rural areas because they can be assembled and…

Systems and Control · Computer Science 2016-09-26 Julia A. Belk , Wardah Inam , David J. Perreault , Konstantin Turitsyn

This paper presents a novel approach to stability analysis for grid-connected converters utilizing Scaled Relative Graphs (SRG). Our method effectively decouples grid and converter dynamics, thereby establishing a comprehensive and…

Systems and Control · Electrical Eng. & Systems 2026-01-23 Eder Baron-Prada , Adolfo Anta , Florian Dörfler

For power grids predominantly featuring large synchronous generators (SGs), there exists a significant body of work bridging optimization and control tasks. A generic workflow in such efforts entails: characterizing the steady state of…

Optimization and Control · Mathematics 2022-10-13 Manish K. Singh , D. Venkatramanan , Sairaj Dhople

In the design flow of integrated circuits, chip-level verification is an important step that sanity checks the performance is as expected. Power grid verification is one of the most expensive and time-consuming steps of chip-level…

Other Computer Science · Computer Science 2015-07-09 Jim Jing-Yan Wang , Lan Yang , Jingbin Wang , Lorenzo Azevedo

Power systems are subject to fundamental changes due to the increasing infeed of decentralised renewable energy sources and storage. The decentralised nature of the new actors in the system requires new concepts for structuring the power…

Adaptation and Self-Organizing Systems · Physics 2020-04-22 Lia Strenge , Paul Schultz , Jürgen Kurths , Jörg Raisch , Frank Hellmann

In this paper, we present an analogy for a power system dominated by grid-forming (GFM) sources that proves to be a powerful visualization tool for analyses of power flow, frequency regulation, and power dispatch. Frequency droop…

Systems and Control · Electrical Eng. & Systems 2025-08-12 Minghui Lu , Brett Ross

We analyze a dual-port grid-forming (GFM) control for power systems containing ac and dc transmission, converter-interfaced generation and energy storage, and legacy generation. To operate such a system and provide standard services,…

Systems and Control · Electrical Eng. & Systems 2024-01-17 Irina Subotić , and Dominic Groß

Dynamical systems, that are used to model power grids, the brain, and other physical systems, can exhibit coexisting stable states known as attractors. A powerful tool to understand such systems, as well as to better predict when they may…

Dynamical Systems · Mathematics 2023-07-31 George Datseris , Kalel Luiz Rossi , Alexandre Wagemakers

Adaptivity is a dynamical feature that is omnipresent in nature, socio-economics, and technology. For example, adaptive couplings appear in various real-world systems like the power grid, social, and neural networks, and they form the…

Power grids must modernize to meet climate goals while maintaining reliable and stable operating conditions. Yet progress is hindered by a limited understanding of the stochastic processes underlying grid frequency and phase-angle…

Physics and Society · Physics 2026-04-06 Alessandro Lonardi , Jacques M. Maritz , Leonardo Rydin Gorjão , Christian Beck

The power interactions of any component in electric energy systems with the rest of the system happen naturally, as governed by the energy conservation principles. There may, however, occur instances when the rate at which power gets…

Systems and Control · Electrical Eng. & Systems 2022-05-17 Rupamathi Jaddivada , Marija D. Ilic

Modern power systems are becoming increasingly dynamic, with changing topologies and time-varying loads driven by renewable energy variability, electric vehicle adoption, and active grid reconfiguration. Despite these changes, publicly…

Machine Learning · Computer Science 2025-09-17 Xinyu He , Chenhan Xiao , Haoran Li , Ruizhong Qiu , Zhe Xu , Yang Weng , Jingrui He , Hanghang Tong

In this paper, a new methodology for stability assessment of a smart power system is proposed. The key to this assessment is an index called betweenness index which is based on ideas from complex network theory. The proposed betweenness…

Other Computer Science · Computer Science 2011-03-18 A. B. M. Nasiruzzaman , H. R. Pota