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The dynamic response of power grids to small transient events or persistent stochastic disturbances influences their stable operation. This paper studies the effect of topology on the linear time-invariant dynamics of power networks. For a…

Optimization and Control · Mathematics 2019-03-21 Siddharth Bhela , Deepjyoti Deka , Harsha Nagarajan , Vassilis Kekatos

Estimating the structure of physical flow networks such as power grids is critical to secure delivery of energy. This paper discusses statistical structure estimation in power grids in the "under-excited" regime, where a subset of internal…

Systems and Control · Electrical Eng. & Systems 2020-05-06 Deepjyoti Deka , Harish Doddi , Sidhant Misra , Murti Salapaka

This paper investigates the impact of Kron reduction on the performance of numerical methods applied to the analysis of unbalanced polyphase power systems. Specifically, this paper focuses on power-flow study, state estimation, and voltage…

Systems and Control · Electrical Eng. & Systems 2019-07-17 Andreas Martin Kettner , Mario Paolone

Limited presence of nodal and line meters in distribution grids hinders their optimal operation and participation in real-time markets. In particular lack of real-time information on the grid topology and infrequently calibrated line…

Systems and Control · Computer Science 2018-03-13 Sejun Park , Deepjyoti Deka , Michael Chertkov

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.…

In recent years, there have been intense research efforts to develop efficient methods for probabilistic inference in probabilistic influence diagrams or belief networks. Many people have concluded that the best methods are those based on…

Artificial Intelligence · Computer Science 2013-04-05 Ross D. Shachter , Stig K. Andersen , Kim-Leng Poh

The application of graph neural networks (GNNs) to the domain of electrical power grids has high potential impact on smart grid monitoring. Even though there is a natural correspondence of power flow to message-passing in GNNs, their…

Understanding the structural complexity and predictability of complex networks is a central challenge in network science. Although recent studies have revealed a relationship between compression-based entropy and link prediction…

Social and Information Networks · Computer Science 2025-10-14 Sebastián Brzovic , Cristóbal Rojas , Andrés Abeliuk

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

Accurate short-term state forecasting is essential for efficient and stable operation of modern power systems, especially in the context of increasing variability introduced by renewable and distributed energy resources. As these systems…

Machine Learning · Computer Science 2026-05-13 Raffael Theiler , Olga Fink

Machine learning and computational intelligence technologies gain more and more popularity as possible solution for issues related to the power grid. One of these issues, the power flow calculation, is an iterative method to compute the…

Machine Learning · Computer Science 2022-04-21 Stephan Balduin , Eric MSP Veith , Sebastian Lehnhoff

Flexible grid topology has become a key enabler of flexibility in modern power grids, particularly for congestion management. Studying the effects of combinatorial topological changes is therefore of significant interest, though it remains…

Systems and Control · Electrical Eng. & Systems 2025-02-18 Antoine Marot , Noureddine Henka , Benjamin Donnot , Sami Tazi

To mitigate climate change, the share of renewable needs to be increased. Renewable energies introduce new challenges to power grids due to decentralization, reduced inertia and volatility in production. The operation of sustainable power…

Machine Learning · Computer Science 2023-01-25 Christian Nauck , Michael Lindner , Konstantin Schürholt , Frank Hellmann

The increasing transmission capacity needs in a future energy system raise the question how associated costs should be allocated to the users of a strengthened power grid. In contrast to straightforward oversimplified methods, a flow…

We investigate how the underlying graph of a network supports a flow between a source node and a destination node and propose to compute the expected number of nodes and links that contribute to transferring items in random graphs. Since…

Mathematical Physics · Physics 2026-03-04 Zhihao Qiu , Xinhan Liu , Rogier Noldus , Piet Van Mieghem

The renewable energy proliferation calls upon the grid operators and planners to systematically evaluate the potential impacts of distributed energy resources (DERs). Considering the significant differences between various inverter-based…

Systems and Control · Electrical Eng. & Systems 2022-03-11 Tao Fu , Dexin Wang , Xiaoyuan Fan , Huiying Ren , Jim Ogle , Yousu Chen

Graphs are naturally used to describe the structures of various real-world systems in biology, society, computer science etc., where subgraphs or motifs as basic blocks play an important role in function expression and information…

Social and Information Networks · Computer Science 2021-02-11 Jinhuan Wang , Pengtao Chen , Bin Ma , Jiajun Zhou , Zhongyuan Ruan , Guanrong Chen , Qi Xuan

Large-scale integration of distributed energy resources into residential distribution feeders necessitates careful control of their operation through power flow analysis. While the knowledge of the distribution system model is crucial for…

Machine Learning · Computer Science 2020-09-16 Omid Ardakanian , Vincent W. S. Wong , Roel Dobbe , Steven H. Low , Alexandra von Meier , Claire Tomlin , Ye Yuan

Selecting appropriate inputs for systems described by complex networks is an important but difficult problem that largely remains open in the field of control of networks. Recent work has proposed two methods for energy efficient input…

Optimization and Control · Mathematics 2022-01-10 Isaac Klickstein , Francesco Sorrentino

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
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