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The development of algorithms for enhancing the resilience and efficiency of the power grid requires performance evaluation with real topologies of power transmission networks. However, due to security reasons, such topologies and…

Systems and Control · Computer Science 2015-08-20 Saleh Soltan , Gil Zussman

In this paper, we develop a data-driven voltage regulation framework for distributed energy resources (DERs) in a balanced radial power distribution system. The objective is to determine optimal DER power injections that minimize the…

Optimization and Control · Mathematics 2020-06-09 Hanchen Xu , Alejandro D. Domínguez-García , Venugopal V. Veeravalli , Peter W. Sauer

Pronounced variability due to the growth of renewable energy sources, flexible loads, and distributed generation is challenging residential distribution systems. This context, motivates well fast, efficient, and robust reactive power…

Systems and Control · Electrical Eng. & Systems 2019-10-31 Qiuling Yang , Alireza Sadeghi , Gang Wang , Georgios B. Giannakis , Jian Sun

Climate change increases the number of extreme weather events (wind and snowstorms, heavy rains, wildfires) that compromise power system reliability and lead to multiple equipment failures. Real-time and accurate detecting of potential line…

Signal Processing · Electrical Eng. & Systems 2022-09-05 Aleksandra Burashnikova , Wenting Li , Massih Amini , Deepjoyti Deka , Yury Maximov

We analyse a model of fixed in-degree Random Boolean Networks in which the fraction of input-receiving nodes is controlled by a parameter gamma. We investigate analytically and numerically the dynamics of graphs under a parallel XOR…

Statistical Mechanics · Physics 2009-09-03 L. Ciandrini , C. Maffi , A. Motta , B. Bassetti , M. Cosentino Lagomarsino

The increasing share of renewable energy sources on distribution grid level as well as the emerging active role of prosumers lead to both higher distribution grid utilization, and at the same time greater unpredictability of energy…

Signal Processing · Electrical Eng. & Systems 2023-03-10 Hüseyin K. Çakmak , Luc Janecke , Veit Hagenmeyer

Power systems often include a specific set of lines that are crucial for the regular operations of the grid. Identifying the reasons behind the criticality of these lines is an important challenge in power system studies. When a line fails,…

Optimization and Control · Mathematics 2023-07-06 Nafis Sadik , Mohammad Rasoul Narimani

The paper deals with the problem of reconstructing the topological structure of a network of dynamical systems. A distance function is defined in order to evaluate the "closeness" of two processes and a few useful mathematical properties…

Chaotic Dynamics · Physics 2008-12-02 Donatello W. Materassi , Giacomo W. Innocenti

Smart energy grid is an emerging area for new applications of machine learning in a non-stationary environment. Such a non-stationary environment emerges when large-scale failures occur at power distribution networks due to external…

Systems and Control · Computer Science 2013-04-30 Yun Wei , Chuanyi Ji , Floyd Galvan , Stephen Couvillon , George Orellana , James Momoh

The use of complex networks for time series analysis has recently shown to be useful as a tool for detecting dynamic state changes for a wide variety of applications. In this work, we implement the commonly used ordinal partition network to…

Data Analysis, Statistics and Probability · Physics 2020-12-21 Audun Myers , Firas Khasawneh

Through an eigenanalysis of small perturbations, as typically done in small-signal stability studies, we intend to discover the underlying reasons that make those perturbations propagate in some way or another in the grid. To this end, we…

Physics and Society · Physics 2020-02-05 Luiscarlos A. Torres-Sánchez , Giuseppe T. Freitas de Abreu , Stefan Kettemann

Power grid operation is becoming increasingly complex due to the increase in generation of renewable energy. The recent series of Learning To Run a Power Network (L2RPN) competitions have encouraged the use of artificial agents to assist…

Artificial Intelligence · Computer Science 2024-08-20 Matthijs de Jong , Jan Viebahn , Yuliya Shapovalova

Distribution feeder and load model reduction methods are essential for maintaining a good tradeoff between accurate representation of grid behavior and reduced computational complexity in power system studies. An effective algorithm to…

Systems and Control · Electrical Eng. & Systems 2025-05-13 Sameer Nekkalapu , Sushrut Thakar , Antos Cheeramban Varghese , Vijay Vittal , Bo Gong , Ken Brown

Reinforcement learning (RL) has shown great potential for designing voltage control policies, but their performance often degrades under changing system conditions such as topology reconfigurations and load variations. We introduce a…

Systems and Control · Electrical Eng. & Systems 2026-02-12 Jie Feng , Yuanyuan Shi , Deepjyoti Deka

We use a power grid model with $M$ generators and $N$ consumption units to optimize the grid and its control. Each consumer demand is drawn from a predefined finite-size-support distribution, thus simulating the instantaneous load…

Statistical Mechanics · Physics 2009-10-21 Lenka Zdeborová , Aurélien Decelle , Michael Chertkov

Topology optimization is a promising approach for mitigating congestion and managing changing grid conditions, but it is computationally challenging and requires approximations. Conventional distribution factors like PTDFs and LODFs, based…

Optimization and Control · Mathematics 2026-03-19 Maurizio Titz , Dirk Witthaut , Joost van Dijk , Benjamin Petrick , Nico Westerbeck

The power flow equations are non-linear multivariate equations that describe the relationship between power injections and bus voltages of electric power networks. Given a network topology, we are interested in finding network parameters…

Machine Learning · Computer Science 2026-03-09 Alperen Ergur , Julia Lindberg , Vinny Miller

In this paper, we study the problem of using representation learning to assist information diffusion prediction on graphs. In particular, we aim at estimating the probability of an inactive node to be activated next in a cascade. Despite…

Machine Learning · Computer Science 2017-12-01 Jia Wang , Vincent W. Zheng , Zemin Liu , Kevin Chen-Chuan Chang

This paper studies a basic model of a dynamical distribution network, where the network topology is given by a directed graph with storage variables corresponding to the vertices and flow inputs corresponding to the edges. We aim at…

Optimization and Control · Mathematics 2014-11-13 Jieqiang Wei , Arjan J. van der Schaft

Networks of elastic fibers are ubiquitous in biological systems and often provide mechanical stability to cells and tissues. Fiber reinforced materials are also common in technology. An important characteristic of such materials is their…