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The topological structure of the power grid plays a key role in the reliable delivery of electricity and price settlement in the electricity market. Incorporation of new energy sources and loads into the grid over time has led to its…

Social and Information Networks · Computer Science 2015-03-02 Deepjyoti Deka , Sriram Vishwanath

The synchronization stability has been analyzed as one of the important dynamical characteristics of power grids. In this study, we bring the operational perspective to the synchronization stability analysis by counting not only full but…

Physics and Society · Physics 2021-07-07 Heetae Kim

The power grid frequency is the central observable in power system control, as it measures the balance of electrical supply and demand. A reliable frequency forecast can facilitate rapid control actions and may thus greatly improve power…

Physics and Society · Physics 2020-08-24 Johannes Kruse , Benjamin Schäfer , Dirk Witthaut

Synchronization is essential for the operation of AC power systems: All generators in the power grid must rotate with fixed relative phases to enable a steady flow of electric power. Understanding the conditions for and the limitations of…

Systems and Control · Electrical Eng. & Systems 2024-11-06 Carsten Hartmann , Philipp C. Böttcher , David Gross , Dirk Witthaut

Signal processing and machine learning algorithms for data supported over graphs, require the knowledge of the graph topology. Unless this information is given by the physics of the problem (e.g., water supply networks, power grids), the…

Signal Processing · Electrical Eng. & Systems 2021-02-11 Alberto Natali , Mario Coutino , Elvin Isufi , Geert Leus

Complex systems are commonly modeled using nonlinear dynamical systems. These models are often high-dimensional and chaotic. An important goal in studying physical systems through the lens of mathematical models is to determine when the…

Computational Geometry · Computer Science 2014-03-25 Jesse Berwald , Marian Gidea , Mikael Vejdemo-Johansson

Seeking effective neural networks is a critical and practical field in deep learning. Besides designing the depth, type of convolution, normalization, and nonlinearities, the topological connectivity of neural networks is also important.…

Computer Vision and Pattern Recognition · Computer Science 2020-08-20 Kun Yuan , Quanquan Li , Jing Shao , Junjie Yan

This article reviews different kinds of models for the electric power grid that can be used to understand the modern power system, the smart grid. From the physical network to abstract energy markets, we identify in the literature different…

To perform any meaningful optimization task, distribution grid operators need to know the topology of their grids. Although power grid topology identification and verification has been recently studied, discovering instantaneous interplay…

Information Theory · Computer Science 2019-11-11 Qiuling Yang , Mario Coutino , Gang Wang , Georgios B. Giannakis , Geert Leus

The stability of complex networks, from power grids to biological systems, is crucial for their proper functioning. It is thus important to control such systems to maintain or restore their stability. Traditional approaches rely on…

Optimization and Control · Mathematics 2025-09-23 Yuzhen Qin , Fabio Pasqualetti , Danielle S. Bassett , Marcel van Gerven

The large-scale integration of renewable energy and power electronic devices has increased the complexity of power system stability, making transient stability assessment more challenging. Conventional methods are limited in both accuracy…

Systems and Control · Electrical Eng. & Systems 2025-11-13 Kunyu Zhang , Guang Yang , Fashun Shi , Shaoying He , Yuchi Zhang

In topology, one averages over local geometrical details to reveal robust global features. This approach proves crucial for understanding quantized bulk transport and exotic boundary effects of linear wave propagation in (meta-)materials.…

Mesoscale and Nanoscale Physics · Physics 2024-06-25 Greta Villa , Javier del Pino , Vincent Dumont , Gianluca Rastelli , Mateusz Michałek , Alexander Eichler , Oded Zilberberg

This article investigates the ability of graph neural networks (GNNs) to identify risky conditions in a power grid over the subsequent few hours, without explicit, high-resolution information regarding future generator on/off status (grid…

Systems and Control · Electrical Eng. & Systems 2024-05-14 Yadong Zhang , Pranav M Karve , Sankaran Mahadevan

The increasing complexity of power grid management, driven by the emergence of prosumers and the demand for cleaner energy solutions, has needed innovative approaches to ensure stability and efficiency. This paper presents a novel approach…

Artificial Intelligence · Computer Science 2025-03-27 Eloy Anguiano Batanero , Ángela Fernández , Álvaro Barbero

This paper presents a novel centralized, variational data assimilation approach for calibrating transient dynamic models in electrical power systems, focusing on load model parameters. With the increasing importance of inverter-based…

Optimization and Control · Mathematics 2023-11-15 Ahmed Attia , D. Adrian Maldonado , Emil Constantinescu , Mihai Anitescu

The energy transition, crucial for tackling the climate crisis, demands integrating numerous distributed, renewable energy sources into existing grids. Along with climate change and consumer behavioral changes, this leads to changes and…

Systems and Control · Electrical Eng. & Systems 2024-09-05 Alban Puech , Jonas Weiss , Thomas Brunschwiler , Hendrik F. Hamann

In the power and energy industry, multiple entities in grid operational logs are frequently recorded and updated. Thanks to recent advances in IT facilities and smart metering services, a variety of datasets such as system load, generation…

Human-Computer Interaction · Computer Science 2025-04-11 Ben Cheng , Yize Chen

This paper considers the problem of online feedback optimization to solve the AC Optimal Power Flow in real-time in power grids. This consists in continuously driving the controllable power injections and loads towards the optimal…

Systems and Control · Electrical Eng. & Systems 2021-11-18 Miguel Picallo , Saverio Bolognani , Florian Dörfler

Network topology in distribution networks is often unknown, because most switches are not equipped with measurement devices and communication links. However, knowledge about the actual topology is critical for safe and reliable grid…

Systems and Control · Computer Science 2015-02-25 Reza Arghandeh , Martin Gahr , Alexandra von Meier , Guido Cavraro , Monika Ruh , Göran Andersson

The energy mix of future power systems will include high shares of wind power and solar PV. These generation facilities are generally connected via power-electronic inverters. While conventional generation responds dynamically to the state…

Systems and Control · Electrical Eng. & Systems 2023-03-31 Philipp C. Böttcher , Leonardo Rydin Gorjão , Dirk Witthaut