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Pre-training on graph neural networks (GNNs) aims to learn transferable knowledge for downstream tasks with unlabeled data, and it has recently become an active research area. The success of graph pre-training models is often attributed to…

Machine Learning · Computer Science 2023-11-22 Jiarong Xu , Renhong Huang , Xin Jiang , Yuxuan Cao , Carl Yang , Chunping Wang , Yang Yang

The increasing complexity of the power grid, due to higher penetration of distributed resources and the growing availability of interconnected, distributed metering devices re- quires novel tools for providing a unified and consistent view…

Machine Learning · Statistics 2017-05-25 Francesco Fusco , Seshu Tirupathi , Robert Gormally

Graphs can facilitate modeling various complex systems such as gene networks and power grids, as well as analyzing the underlying relations within them. Learning over graphs has recently attracted increasing attention, particularly graph…

Machine Learning · Computer Science 2023-03-28 O. Deniz Kose , Yanning Shen

It is accepted wisdom that changes in the traffic matrix entail capacity over-provisioning, but there is no simple measure of just how much over-provisioning can buy. In this Thesis, we aim to provide the network designer with a simple view…

Networking and Internet Architecture · Computer Science 2022-02-08 Itamar Cohen

In wide-area measurement systems (WAMS), phasor measurement unit (PMU) measurement is prone to data missingness due to hardware failures, communication delays, and cyber-attacks. Existing data-driven methods are limited by inadaptability to…

Systems and Control · Electrical Eng. & Systems 2026-01-01 Bo Li , Zijun Chen , Haiwang Zhong , Di Cao , Guangchun Ruan

To perform any meaningful optimization task, power distribution operators need to know the topology and line impedances of their electric networks. Nevertheless, distribution grids currently lack a comprehensive metering infrastructure.…

Optimization and Control · Mathematics 2018-06-12 Guido Cavraro , Vassilis Kekatos

This paper presents novel methods to approximate the nonlinear AC optimal power flow (OPF) into tractable linear/quadratic programming (LP/QP) based OPF problems that can be used for power system planning and operation. We derive a linear…

Systems and Control · Computer Science 2019-03-19 Philipp Fortenbacher , Turhan Demiray

This paper introduces a new model for highly accurate distribution voltage solutions, coined as a parameterized linear power flow model. The proffered model is grounded on a physical model of linear power flow equations, and uses…

Systems and Control · Electrical Eng. & Systems 2022-11-03 Marija Marković , Bri-Mathias Hodge

Learning to solve the Alternating Current Optimal Power Flow (AC-OPF) problem by neural networks (NNs) is a promising approach in real-time applications. Existing methods to ensure the physical feasibility of NN outputs embed a power flow…

Computational Engineering, Finance, and Science · Computer Science 2026-05-12 Jiebao Zhang , Haoyu Yan , Zhichao Sheng , Hongwen Yu , Shuang Ye , Haoyu Wang , Ye Shi

Optimal Power Flow (OPF) is an important tool used to coordinate assets in electric power systems to ensure customer voltages are within pre-defined tolerances and to improve distribution system operations. While convex relaxations of…

Optimization and Control · Mathematics 2016-11-18 Michael D. Sankur , Roel Dobbe , Emma Stewart , Duncan S. Callaway , Daniel B. Arnold

The objective of this paper is to improve the accuracy and robustness of optimal power flow (OPF) formulations for distribution systems modeled down to the low-voltage point of connection of individual buildings. An approach for addressing…

Systems and Control · Electrical Eng. & Systems 2023-10-11 Dakota Hamilton , Loraine Navarro , Dionysios Aliprantis

The power system state estimation (SE) algorithm estimates the complex bus voltages based on the available set of measurements. Because phasor measurement units (PMUs) are becoming more widely employed in transmission power systems, a fast…

Machine Learning · Computer Science 2022-06-07 Ognjen Kundacina , Mirsad Cosovic , Dejan Vukobratovic

Currently, attention mechanisms have garnered increasing attention in Graph Neural Networks (GNNs), such as Graph Attention Networks (GATs) and Graph Transformers (GTs). It is not only due to the commendable boost in performance they offer…

Machine Learning · Computer Science 2024-10-10 Lijie Hu , Tianhao Huang , Lu Yu , Wanyu Lin , Tianhang Zheng , Di Wang

While the expressive power and computational capabilities of graph neural networks (GNNs) have been theoretically studied, their optimization and learning dynamics, in general, remain largely unexplored. Our study undertakes the Graph…

Machine Learning · Computer Science 2023-10-26 Nimrah Mustafa , Aleksandar Bojchevski , Rebekka Burkholz

Graph Neural Networks (GNNs) have led to state-of-the-art performance on a variety of machine learning tasks such as recommendation, node classification and link prediction. Graph neural network models generate node embeddings by merging…

Machine Learning · Computer Science 2020-11-04 Yunpeng Weng , Xu Chen , Liang Chen , Wei Liu

Many practical planning and operational applications in power systems require simultaneous consideration of a large number of operating conditions or Multi-Scenario AC-Optimal Power Flow (MS-AC-OPF) solution. However, when the number of…

Optimization and Control · Mathematics 2019-05-28 Vladimir Frolov , Line Roald , Michael Chertkov

The necessary integration of renewable energy sources, combined with the expanding scale of power networks, presents significant challenges in controlling modern power grids. Traditional control systems, which are human and…

Machine Learning · Computer Science 2025-09-04 Carlo Fabrizio , Gianvito Losapio , Marco Mussi , Alberto Maria Metelli , Marcello Restelli

We solve the problem of identifying (reconstructing) network topology from steady state network measurements. Concretely, given only a data matrix $\mathbf{X}$ where the $X_{ij}$ entry corresponds to flow in edge $i$ in configuration…

Machine Learning · Computer Science 2016-01-22 Aravind Rajeswaran , Shankar Narasimhan

The probabilistic power flow (PPF) problem is essential to quantifying the distribution of the nodal voltages due to uncertain injections. The conventional PPF problem considers a fixed topology, and the solutions to such a PPF problem are…

Systems and Control · Electrical Eng. & Systems 2025-09-17 Sel Ly , Kapil Chauhan , Anshuman Singh , Hung Dinh Nguyen

We present graph attention networks (GATs), novel neural network architectures that operate on graph-structured data, leveraging masked self-attentional layers to address the shortcomings of prior methods based on graph convolutions or…

Machine Learning · Statistics 2018-02-06 Petar Veličković , Guillem Cucurull , Arantxa Casanova , Adriana Romero , Pietro Liò , Yoshua Bengio