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Related papers: Physics-Informed Graph Neural Jump ODEs for Cascad…

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Neural differential equations offer a powerful framework for modeling continuous-time dynamics, but forecasting stiff biophysical systems remains unreliable. Standard Neural ODEs and physics informed variants often require orders of…

Machine Learning · Computer Science 2025-11-18 Kamalpreet Singh Kainth , Prathamesh Dinesh Joshi , Raj Abhijit Dandekar , Rajat Dandekar , Sreedat Panat

Graphical models are a succinct way to represent the structure in probability distributions. This article analyzes the graphical model of nodal voltages in non-radial power distribution grids. Using algebraic and structural properties of…

Systems and Control · Computer Science 2020-02-28 Deepjyoti Deka , Saurav Talukdar , Michael Chertkov , Murti Salapaka

Recently, there has been a growing concern about the overload status of the power grid networks, and the increasing possibility of cascading failures. Many researchers have studied these networks to provide design guidelines for more robust…

Physics and Society · Physics 2012-12-27 Sakshi Pahwa , Caterina Scoglio , Noel Schulz

To enhance the intelligence degree in operation and maintenance, a novel method for fault detection in power grids is proposed. The proposed GNN-based approach first identifies fault nodes through a specialized feature extraction method…

Machine Learning · Computer Science 2024-01-30 Hao Pei , Si Lin , Chuanfu Li , Che Wang , Haoming Chen , Sizhe Li

Cascading failures (CFs) in electrical power grids propagate nonlocally; After a local disturbance, the second failure may be distant. To study the avalanche dynamics and mitigation strategy of nonlocal CFs, numerical simulation is…

Physics and Society · Physics 2023-10-03 Bukyoung Jhun , Hoyun Choi , Yongsun Lee , Jongshin Lee , Cook Hyun Kim , B. Kahng

The great learning ability of deep learning models facilitates us to comprehend the real physical world, making learning to simulate complicated particle systems a promising endeavour. However, the complex laws of the physical world pose…

Machine Learning · Computer Science 2025-08-26 Guangsi Shi , Daokun Zhang , Ming Jin , Shirui Pan , Philip S. Yu

Understanding and analyzing cascading failures in power grids have been the focus of many researchers for years. However, the complex interactions among the large number of components in these systems and their contributions to cascading…

Physics and Society · Physics 2020-06-15 Upama Nakarmi , Mahshid Rahnamay Naeini , Md Jakir Hossain , Md Abul Hasnat

The optimal power flow (OPF) problem can be rapidly and reliably solved by employing responsive online solvers based on neural networks. The dynamic nature of renewable energy generation and the variability of power grid conditions…

Systems and Control · Electrical Eng. & Systems 2025-02-25 Kejun Chen , Shourya Bose , Yu Zhang

A Physics-Informed Dynamic Graph Neural Network (PIDGeuN) is presented to accurately, efficiently and robustly predict the nonlinear transient dynamics of microgrids in the presence of disturbances. The graph-based architecture of PIDGeuN…

Systems and Control · Electrical Eng. & Systems 2022-04-20 Yin Yu , Xinyuan Jiang , Daning Huang , Yan Li

Cascading failures are one of the main reasons for blackouts in electric power transmission grids. The economic cost of such failures is in the order of tens of billion dollars annually. The loading level of power system is a key aspect to…

Physics and Society · Physics 2015-06-22 Yakup Koç , Martijn Warnier , Piet Van Mieghem , Robert E. Kooij , Frances M. T. Brazier

Physics-inspired graph neural networks (PI-GNNs) have been utilized as an efficient unsupervised framework for relaxing combinatorial optimization problems encoded through a specific graph structure and loss, reflecting dependencies between…

Machine Learning · Computer Science 2025-10-24 Martin Krutský , Gustav Šír , Vyacheslav Kungurtsev , Georgios Korpas

Traditional optimization-based techniques for time-synchronized state estimation (SE) often suffer from high online computational burden, limited phasor measurement unit (PMU) coverage, and presence of non-Gaussian measurement noise.…

Systems and Control · Electrical Eng. & Systems 2025-06-05 Shiva Moshtagh , Behrouz Azimian , Mohammad Golgol , Anamitra Pal

Traffic forecasting is an important issue in intelligent traffic systems (ITS). Graph neural networks (GNNs) are effective deep learning models to capture the complex spatio-temporal dependency of traffic data, achieving ideal prediction…

Machine Learning · Computer Science 2023-05-03 Weiheng Zhong , Hadi Meidani , Jane Macfarlane

Edge computing environments host increasingly complex microservice-based IoT applications that are prone to performance anomalies propagating across dependent services. Identifying the faulty component (root cause localization) and the…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-03 Duneesha Fernando , Maria A. Rodriguez , Rajkumar Buyya

Optimal power flow (OPF) is the central optimization problem in electric power grids. Although solved routinely in the course of power grid operations, it is known to be strongly NP-hard in general, and weakly NP-hard over tree networks. In…

Systems and Control · Computer Science 2016-06-22 Krishnamurthy Dvijotham , Pascal Van Hentenryck , Michael Chertkov , Sidhant Misra , Marc Vuffray

Graph neural network (GNN) is a promising approach to learning and predicting physical phenomena described in boundary value problems, such as partial differential equations (PDEs) with boundary conditions. However, existing models…

Machine Learning · Computer Science 2023-03-24 Masanobu Horie , Naoto Mitsume

We consider power line outages in the transmission system of the power grid, and specifically those caused by a natural disaster or a large scale physical attack. In the transmission system, an outage of a line may lead to overload on other…

Systems and Control · Computer Science 2012-06-07 Andrey Bernstein , Daniel Bienstock , David Hay , Meric Uzunoglu , Gil Zussman

We investigate the utility of graph neural networks (GNNs) as proxies of power grid operational decision-making algorithms (optimal power flow (OPF) and security-constrained unit commitment (SCUC)) to enable rigorous quantification of the…

Machine Learning · Computer Science 2023-11-22 Yadong Zhang , Pranav M Karve , Sankaran Mahadevan

Higher variability in grid conditions, resulting from growing renewable penetration and increased incidence of extreme weather events, has increased the difficulty of screening for scenarios that may lead to catastrophic cascading failures.…

Systems and Control · Electrical Eng. & Systems 2024-03-25 Joe Gorka , Tim Hsu , Wenting Li , Yury Maximov , Line Roald

Neural Jump ODEs model the conditional expectation between observations by neural ODEs and jump at arrival of new observations. They have demonstrated effectiveness for fully data-driven online forecasting in settings with irregular and…

Machine Learning · Statistics 2025-08-19 Jakob Heiss , Florian Krach , Thorsten Schmidt , Félix B. Tambe-Ndonfack