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Electrical Distribution Systems are extensively penetrated with Distributed Energy Resources (DERs) to cater the energy demands with the general perception that it enhances the system's resilience. However, integration of DERs may adversely…

Systems and Control · Electrical Eng. & Systems 2023-11-07 Divyanshi Dwivedi , Pradeep Kumar Yemula , Mayukha Pal

Physicists study a wide variety of phenomena creating new interdisciplinary research fields by applying theories and methods originally developed in physics in order to solve problems in economics, social science, biology, medicine,…

Popular Physics · Physics 2007-07-24 D. Volchenkov , Ph. Blanchard

We propose an end-to-end framework based on a Graph Neural Network (GNN) to balance the power flows in energy grids. The balancing is framed as a supervised vertex regression task, where the GNN is trained to predict the current and power…

Machine Learning · Computer Science 2022-08-15 Jonas Berg Hansen , Stian Normann Anfinsen , Filippo Maria Bianchi

We study the equilibrium states of energy functions involving a large set of real variables, defined on the links of sparsely connected networks, and interacting at the network nodes, using the cavity and replica methods. When applied to…

Disordered Systems and Neural Networks · Physics 2009-11-11 K. Y. Michael Wong , David Saad

Graph theory constitutes a widely used and established field providing powerful tools for the characterization of complex networks. The intricate topology of networks can also be investigated by means of the collective dynamics observed in…

Physics and Society · Physics 2018-05-09 Matthieu Gilson , Nikos E Kouvaris , Gustavo Deco , Gorka Zamora-López

Power systems are undergoing unprecedented transformations with the incorporation of larger amounts of renewable energy sources, distributed generation and demand response. All these changes, while potentially making power grids more…

Optimization and Control · Mathematics 2015-02-06 Krishnamurthy Dvijotham , Steven Low , Michael Chertkov

This paper reviews the main network analysis methods used to measure structural power, which refers to the ability to shape outcomes through network position and influence, and the ability to affect others through network connections. These…

It is well understood that various alternatives are available within EM theory for the definitions of energy density, momentum transfer, EM stress-energy tensor, and so forth. Although the various options are all compatible with the basic…

General Physics · Physics 2010-09-28 H. E. Puthoff

Network science provides a universal framework for modeling complex systems, contrasting the reductionist approach generally adopted in physics. In a prototypical study, we utilize network models created from spectroscopic data of atoms to…

The fundamental concept of applying the system methodology to network analysis declares that network architecture should take into account services and applications which this network provides and supports. This work introduces a formal…

Networking and Internet Architecture · Computer Science 2015-09-03 Andrey A. Shchurov

A projective network model is a model that enables predictions to be made based on a subsample of the network data, with the predictions remaining unchanged if a larger sample is taken into consideration. An exchangeable model is a model…

Physics and Society · Physics 2018-04-13 A. P. Kartun-Giles , D. Krioukov , J. P. Gleeson , Y. Moreno , G. Bianconi

We present a general holistic theory for the organization of complex networks, both human-engineered and naturally-evolved. Introducing concepts of value of interactions and satisfaction as generic network performance measures, we show that…

Adaptation and Self-Organizing Systems · Physics 2007-07-13 Venkat Venkatasubramanian , Dimitris N. Politis , Priyan R. Patkar

Understanding the origins of complexity is a fundamental challenge with implications for biological and technological systems. Network theory emerges as a powerful tool to model complex systems. Networks are an intuitive framework to…

Disordered Systems and Neural Networks · Physics 2024-10-22 Blai Vidiella , Salva Duran-Nebreda , Sergi Valverde

Many real-world networks are so large that we must simplify their structure before we can extract useful information about the systems they represent. As the tools for doing these simplifications proliferate within the network literature,…

Physics and Society · Physics 2015-05-13 M. Rosvall , D. Axelsson , C. T. Bergstrom

The ability to design a transport network such that commodities are brought from suppliers to consumers in a steady, optimal, and stable way is of great importance for nowadays distribution systems. In this Letter, by using the circuit laws…

Physics and Society · Physics 2015-06-17 Nicolás Rubido , Celso Grebogi , Murilo S. Baptista

Complex network theory provides a powerful framework to statistically investigate the topology of local and non-local statistical interrelationships, i.e. teleconnections, in the climate system. Climate networks constructed from the same…

Data Analysis, Statistics and Probability · Physics 2009-07-27 Jonathan F. Donges , Yong Zou , Norbert Marwan , Jürgen Kurths

As wireless has disrupted communications, wireless will also disrupt the delivery of energy. Future wireless networks will be equipped with (radiative) wireless power transfer (WPT) capability and exploit radio waves to carry both energy…

Information Theory · Computer Science 2022-09-09 Bruno Clerckx , Junghoon Kim , Kae Won Choi , Dong In Kim

How do we search for the entire family tree without unwanted random guesses, starting from a high-index and high-energy stationary state on the energy landscape? Here we introduce a general numerical method that constructs the pathway map…

Computational Physics · Physics 2021-04-21 Jianyuan Yin , Yiwei Wang , Jeff Z. Y. Chen , Pingwen Zhang , Lei Zhang

We define a \emph{thermal network}, which is a network where the flow functionality of a node depends upon its temperature. This model is inspired by several types of real-life networks, and generalizes some conventional network models…

Discrete Mathematics · Computer Science 2016-07-12 Samiksha Sarwari , Shrisha Rao

This paper puts forward the vision that a natural future stage of the electricity network could be a grid spanning the whole planet and connecting most of the large power plants in the world: this is the "Global Grid". The main driving…

Systems and Control · Computer Science 2013-01-10 Spyros Chatzivasileiadis , Damien Ernst , Göran Andersson