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Modeling power transmission networks is an important area of research with applications such as vulnerability analysis, study of cascading failures, and location of measurement devices. Graph-theoretic approaches have been widely used to…

We present a systematic comparison between neural network (NN) architectures for inference of AC-OPF solutions. Using fully connected NNs as a baseline we demonstrate the efficacy of leveraging network topology in the models by constructing…

Machine Learning · Computer Science 2020-12-02 Thomas Falconer , Letif Mones

This paper presents a novel distributed approach for solving AC power flow (PF) problems. The optimization problem is reformulated into a distributed form using a communication structure corresponding to a hypergraph, by which complex…

Optimization and Control · Mathematics 2024-07-03 Xinliang Dai , Yingzhao Lian , Yuning Jiang , Colin N. Jones , Veit Hagenmeyer

Optimal power flow (OPF) is used to perform generation redispatch in power system real-time operations. N-1 OPF can ensure safe grid operations under diverse contingency scenarios. For large and intricate power networks with numerous…

Systems and Control · Electrical Eng. & Systems 2024-02-12 Thuan Pham , Xingpeng Li

We consider the problem of deriving an explicit approximate solution of the nonlinear power equations that describe a balanced power distribution network. We give sufficient conditions for the existence of a practical solution to the power…

Optimization and Control · Mathematics 2019-07-09 Saverio Bolognani , Sandro Zampieri

Due to mutual interference between users, power allocation problems in wireless networks are often non-convex and computationally challenging. Graph neural networks (GNNs) have recently emerged as a promising approach to tackling these…

Networking and Internet Architecture · Computer Science 2024-01-09 Lili Chen , Jingge Zhu , Jamie Evans

Power Flow (PF) calculation based on machine learning (ML) techniques offer significant computational advantages over traditional numerical methods but often struggle to maintain full physical consistency. This paper introduces a…

Machine Learning · Computer Science 2025-12-01 Panteleimon Dogoulis , Mohammad Iman Alizadeh , Sylvain Kubler , Maxime Cordy

This note outlines the exact solution to the power flow problem in AC electrical networks under the assumption of 'flat' or uniform voltage profiles. This solution generalises the common 'DC power flow' approach to electrical network…

History and Overview · Mathematics 2022-07-26 Anthony B. Morton

Power system networks are often modeled as homogeneous graphs, which limits the ability of graph neural network (GNN) to capture individual generator features at the same nodes. By introducing the proposed virtual node-splitting strategy,…

Systems and Control · Electrical Eng. & Systems 2025-07-22 Thuan Pham , Xingpeng Li

The topology of a power grid affects its dynamic operation and settlement in the electricity market. Real-time topology identification can enable faster control action following an emergency scenario like failure of a line. This article…

Optimization and Control · Mathematics 2017-07-18 Deepjyoti Deka , Saurav Talukdar , Michael Chertkov , Murti Salapaka

The optimal power flow (OPF) problem, which plays a central role in operating electrical networks is considered. The problem is nonconvex and is in fact NP hard. Therefore, designing efficient algorithms of practical relevance is crucial,…

Optimization and Control · Mathematics 2014-08-20 S. Magnússon , P. C. Weeraddana , C. Fischione

This paper provides an enhanced modeling of the contingency response that collectively reflects high-fidelity physical and operational characteristics of power grids. Integrating active and reactive power contingency responses into the…

Systems and Control · Electrical Eng. & Systems 2021-02-18 Tuncay Altun , Ramtin Madani , Alper Atamturk , Ross Baldick , Ali Davoudi

Based on measurements of the Internet topology data, we found out that there are two mechanisms which are necessary for the correct modeling of the Internet topology at the Autonomous Systems (AS) level: the Interactive Growth of new nodes…

Networking and Internet Architecture · Computer Science 2009-09-29 Shi Zhou , Raul J. Mondragon

Considering the attacks against the power grid, one of the most effective approaches could be the attack to the transmission lines that leads to large cascading failures. Hence, the problem of locating the most critical or vulnerable…

Machine Learning · Computer Science 2024-05-21 Tianxin Zhou , Xiang Li , Haibing Lu

Power grids are critical infrastructures of paramount importance to modern society and their rapid evolution and interconnections has heightened the complexity of power systems (PS) operations. Traditional methods for grid analysis struggle…

Machine Learning · Computer Science 2024-07-18 Salah Ghamizi , Aleksandar Bojchevski , Aoxiang Ma , Jun Cao

Online continual learning for image classification is crucial for models to adapt to new data while retaining knowledge of previously learned tasks. This capability is essential to address real-world challenges involving dynamic…

Computer Vision and Pattern Recognition · Computer Science 2025-02-14 Adjovi Sim , Zhengkui Wang , Aik Beng Ng , Shalini De Mello , Simon See , Wonmin Byeon

Optimal power flow (OPF) is a very fundamental but vital optimization problem in the power system, which aims at solving a specific objective function (ex.: generator costs) while maintaining the system in the stable and safe operations. In…

Systems and Control · Electrical Eng. & Systems 2020-04-09 Yuhao Zhou , Bei Zhang , Chunlei Xu , Tu Lan , Ruisheng Diao , Di Shi , Zhiwei Wang , Wei-Jen Lee

The operation of large-scale power systems is usually scheduled ahead via numerical optimization. However, this requires models of grid topology, line parameters, and bus specifications. Classic approaches first identify the network…

Systems and Control · Electrical Eng. & Systems 2025-02-04 Oleksii Molodchyk , Philipp Schmitz , Alexander Engelmann , Karl Worthmann , Timm Faulwasser

Power flow (PF) calculations are fundamental to power system analysis to ensure stable and reliable grid operation. The Newton-Raphson (NR) method is commonly used for PF analysis due to its rapid convergence when initialized properly.…

State estimation is highly critical for accurately observing the dynamic behavior of the power grids and minimizing risks from cyber threats. However, existing state estimation methods encounter challenges in accurately capturing power…

Systems and Control · Electrical Eng. & Systems 2024-01-01 Quang-Ha Ngo , Bang L. H. Nguyen , Tuyen V. Vu , Jianhua Zhang , Tuan Ngo