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The study of interacting dynamical systems continues to attract research interest in various fields of science and engineering. In a collection of interacting particles, the interaction network contains information about how various…

Dynamical Systems · Mathematics 2023-11-07 Pawan R. Bhure , M. S. Santhanam

We introduce a non-growth model that generates the power-law distribution with the Zipf exponent. There are N elements, each of which is characterized by a quantity, and at each time step these quantities are redistributed through binary…

Statistical Mechanics · Physics 2012-04-27 Suhan Ree

Voltage control plays an important role in the operation of electricity distribution networks, especially when there is a large penetration of renewable energy resources. In this paper, we focus on voltage control through reactive power…

Optimization and Control · Mathematics 2016-06-28 Guannan Qu , Na Li , Munther Dahleh

We extend the scope of the dynamical theory of extreme values to cover phenomena that do not happen instantaneously, but evolve over a finite, albeit unknown at the onset, time interval. We consider complex dynamical systems, composed of…

Neurons and Cognition · Quantitative Biology 2020-05-20 Theophile Caby , Giorgio Mantica

Distribution grid is the medium and low voltage part of a large power system. Structurally, the majority of distribution networks operate radially, such that energized lines form a collection of trees, i.e. forest, with a substation being…

Systems and Control · Computer Science 2018-07-12 Deepjyoti Deka , Michael Chertkov , Scott Backhaus

Networks grow and evolve by local events, such as the addition of new nodes and links, or rewiring of links from one node to another. We show that depending on the frequency of these processes two topologically different networks can…

Disordered Systems and Neural Networks · Physics 2009-10-31 Reka Albert , Albert-Laszlo Barabasi

The frequency of disruptive and newly emerging threats (e.g. man-made attacks--cyber and physical attacks; extreme natural events--hurricanes, earthquakes, and floods) has escalated dramatically in the last decade. Impacts of these events…

Systems and Control · Electrical Eng. & Systems 2020-09-08 Narayan Bhusal , Mukesh Gautam , Michael Abdelmalak , Mohammed Benidris

Most theoretical analysis for lifetime distribution explains origins of specific distribution based on independent failure. We develop a unified framework encompassing different lifetime distribution for failure-coupled network systems. We…

Physics and Society · Physics 2024-07-12 Yimeng Liu , Shaobo Sui , Dan Lu , Rui Peng , Mingyang Bai , Daqing Li

Recurrence networks are a novel tool of nonlinear time series analysis allowing the characterisation of higher-order geometric properties of complex dynamical systems based on recurrences in phase space, which are a fundamental concept in…

Chaotic Dynamics · Physics 2016-04-07 Y. Zou , J. Heitzig , R. V. Donner , J. F. Donges , J. D. Farmer , R. Meucci , S. Euzzor , N. Marwan , J. Kurths

This is the second part of a two-part paper on data-based distributionally robust stochastic optimal power flow (OPF). The general problem formulation and methodology have been presented in Part I [1]. Here, we present extensive numerical…

Optimization and Control · Mathematics 2018-10-29 Yi Guo , Kyri Baker , Emiliano Dall'Anese , Zechun Hu , Tyler H. Summers

We present a novel approach to probabilistic electricity price forecasting which utilizes distributional neural networks. The model structure is based on a deep neural network that contains a so-called probability layer. The network's…

Statistical Finance · Quantitative Finance 2023-09-29 Grzegorz Marcjasz , Michał Narajewski , Rafał Weron , Florian Ziel

This paper investigates a passivity-based approach to output consensus analysis in heterogeneous networks composed of non-identical agents coupled via nonlinear interactions, in the presence of measurement and/or communication noise.…

Systems and Control · Electrical Eng. & Systems 2025-09-03 Yongkang Su , Sei Zhen Khong , Lanlan Su

Recent years saw an increased interest in modeling and understanding the mechanisms of opinion and innovation spread through human networks. Using analysis of real-world social data, researchers are able to gain a better understanding of…

Social and Information Networks · Computer Science 2016-03-29 Ajay Saini , Natasha Markuzon

We propose a model of random diffusion to investigate flow fluctuations in complex networks. We derive an analytical law showing that the dependence of fluctuations with the mean traffic in a network is ruled by the delicate interplay of…

Physics and Society · Physics 2008-05-21 S. Meloni , J. Gomez-Gardenes , V. Latora , Y. Moreno

We propose a method to derive the stationary size distributions of a system, and the degree distributions of networks, using maximisation of the Gibbs-Shannon entropy. We apply this to a preferential attachment-type algorithm for systems of…

Physics and Society · Physics 2020-03-17 Cornelia Metzig , Caroline Colijn

A distribution system can flexibly adjust its substation-level power output by aggregating its local distributed energy resources (DERs). Due to DER and network constraints, characterizing the exact feasible power output region is…

Optimization and Control · Mathematics 2023-10-10 Qi Li , Jianzhe Liu , Bai Cui , Wenzhan Song , Jin Ye

We present a novel model to simulate real social networks of complex interactions, based in a granular system of colliding particles (agents). The network is build by keeping track of the collisions and evolves in time with correlations…

Physics and Society · Physics 2009-11-11 M. C. Gonzalez , P. G. Lind , H. J. Herrmann

The increasing frequency of extreme weather events poses significant risks to power distribution systems, leading to widespread outages and severe economic and social consequences. This paper presents a novel simulation framework for…

Systems and Control · Electrical Eng. & Systems 2025-02-13 Xuesong Wang , Shuo Yuan , Sharaf K. Magableh , Oraib Dawaghreh , Caisheng Wang , Le Yi Wang

We present a stochastic model for a social network, where new actors may join the network, existing actors may become inactive and, at a later stage, reactivate themselves. Our model captures the evolution of the network, assuming that…

Physics and Society · Physics 2007-05-23 Trevor Fenner , Mark Levene , George Loizou , George Roussos

The transportation network operator (TNO) and the power distribution network operator (DNO) act non cooperatively during the scheduling process. Under the TNOs management, the distribution of charging load may exacerbate the local…

Systems and Control · Electrical Eng. & Systems 2026-05-25 Tianyu Sima , Mingyu Yan , Jianfeng Wen , Houbo Xiong , Wensheng Luo , Mariusz Malinowski
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