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In this paper, we address the problem of coordinating a set of distributed energy resources (DERs) to regulate voltage in power distribution systems to desired levels. To this end, we formulate the voltage control problem as an optimization…

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

A mechanism is proposed for the appearance of power law distributions in various complex systems. It is shown that in a conservative mechanical system composed of subsystems with different numbers of degrees of freedom a robust power-law…

Statistical Mechanics · Physics 2018-01-03 Anirban Chakraborti , Marco Patriarca

In this paper we develop a theory to describe innovation processes in a network of interacting units. We introduce a stochastic picture that allows for the clarification of the role of fluctuations for the survival of innovations in such a…

Statistical Mechanics · Physics 2007-05-23 Ingrid Hartmann-Sonntag , Andrea Scharnhorst , Werner Ebeling

We introduce a general methodology of update rules accounting for arbitrary interevent time distributions in simulations of interacting agents. In particular we consider update rules that depend on the state of the agent, so that the update…

Physics and Society · Physics 2011-07-19 Juan Fernández-Gracia , V. M. Eguíluz , M. San Miguel

Power flow analysis is used to evaluate the flow of electricity in the power system network. Power flow calculation is used to determine the steady-state variables of the system, such as the voltage magnitude/phase angle of each bus and the…

Systems and Control · Electrical Eng. & Systems 2022-05-24 Thuan Pham , Xingpeng Li

For large-scale power networks, the failure of particular transmission lines can offload power to other lines and cause self-protection trips to activate, instigating a cascade of line failures. In extreme cases, this can bring down the…

Physics and Society · Physics 2018-06-08 Charles Matthews , Bradly Stadie , Jonathan Weare , Mihai Anitescu , Christopher Demarco

We analyze a model of interacting agents (e.g. prebiotic chemical species) which are represended by nodes of a network, whereas their interactions are mapped onto directed links between these nodes. On a fast time scale, each agent follows…

Populations and Evolution · Quantitative Biology 2009-11-13 Adrian M. Seufert , Frank Schweitzer

Measures of node centrality that describe the importance of a node within a network are crucial for understanding the behavior of social networks and graphs. In this paper, we address the problems of distributed estimation and control of…

Systems and Control · Computer Science 2020-07-07 Eduardo Montijano , Gabriele Oliva , Andrea Gasparri

We study a stochastic multiplicative process with reset events. It is shown that the model develops a stationary power-law probability distribution for the relevant variable, whose exponent depends on the model parameters. Two qualitatively…

Condensed Matter · Physics 2009-10-31 Susanna C. Manrubia , Damian H. Zanette

In this paper, we proposed an evolving model via the hypergraph to illustrate the evolution of the citation network. In the evolving model, we consider the mechanism combined with preferential attachment and the aging influence. Simulation…

Physics and Society · Physics 2014-06-05 Feng Hu , Hai-Xing Zhao , Xiu-Xiu Zhan , Chuang Liu , Zi-Ke Zhang

The topic of this paper is the presentation of a new network model designed for networks consisting of spatial objects. This model allows the development of more advance representations of systems of networked objects and the study of…

Data Structures and Algorithms · Computer Science 2021-12-14 Panteleimon Rodis

Analyzing the interactions between the transmission and distribution (T&D) system is becoming imperative with the increased penetrations of distributed energy resources (DERs) on electric power distribution networks. An assessment of the…

Systems and Control · Electrical Eng. & Systems 2019-12-17 Gayathri Krishnamoorthy , Anamika Dubey

Within a fully microscopic setting, we derive a variational principle for the non-equilibrium steady states of chemical reaction networks, valid for time-scales over which chemical potentials can be taken to be slowly varying: at…

Molecular Networks · Quantitative Biology 2015-06-05 Andrea De Martino , Daniele De Martino , Roberto Mulet , Guido Uguzzoni

Event occurrence is not only subject to the environmental changes, but is also facilitated by the events that have occurred in a system. Here, we develop a method for estimating such extrinsic and intrinsic factors from a single series of…

Data Analysis, Statistics and Probability · Physics 2021-01-04 Shinsuke Koyama , Shigeru Shinomoto

With an increasing high penetration of solar photovoltaic generation in electric power grids, voltage phasors and branch power flows experience more severe fluctuations. In this context, probabilistic power flow (PPF) study aims at…

Systems and Control · Electrical Eng. & Systems 2022-05-03 Kejun Chen , Yu Zhang

The distribution of the ratios of consecutive eigenvalue spacings of random matrices has emerged as an important tool to study spectral properties of many-body systems. This article numerically investigates the eigenvalue ratios…

Disordered Systems and Neural Networks · Physics 2022-07-13 Ankit Mishra , Tanu Raghav , Sarika Jalan

The behavior of ecological systems mainly relies on the interactions between the species it involves. We consider the problem of inferring the species interaction network from abundance data. To be relevant, any network inference…

Applications · Statistics 2019-10-29 Raphaëlle Momal , Stéphane Robin , Christophe Ambroise

Stability analysis of a power network and its characterization (voltage or angle) is an important problem in the power system community. However, these problems are mostly studied using linearized models and participation factor analysis.…

Systems and Control · Electrical Eng. & Systems 2021-10-15 Subhrajit Sinha , Pranav Sharma , Venkataramana Ajjarapu , Umesh Vaidya

We consider propagation models that describe the spreading of an attribute, called "damage", through the nodes of a random network. In some systems, the average fraction of nodes that remain undamaged vanishes in the large system limit, a…

Cellular Automata and Lattice Gases · Physics 2007-05-23 Björn Samuelsson , Joshua E. S. Socolar

Interaction networks, consisting of agents linked by their interactions, are ubiquitous across many disciplines of modern science. Many methods of analysis of interaction networks have been proposed, mainly concentrating on node degree…

Molecular Networks · Quantitative Biology 2011-12-20 Aleksandar Stojmirović , Yi-Kuo Yu