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We study simultaneous price drops of real stocks and show that for high drop thresholds they follow a power-law distribution. To reproduce these collective downturns, we propose a minimal self-organized model of cascade spreading based on a…

Physics and Society · Physics 2015-03-13 Stanislao Gualdi , Matus Medo , Yi-Cheng Zhang

We propose a real-time nodal pricing mechanism for cost minimization and voltage control in a distribution network with autonomous distributed energy resources and analyze the resulting market using stochastic game theory. Unlike existing…

Systems and Control · Electrical Eng. & Systems 2025-09-04 Eli Brock , Jingqi Li , Javad Lavaei , Somayeh Sojoudi

We consider a scenario where multiple event-based systems use a wireless network to communicate with their respective controllers. These systems use a contention resolution mechanism (CRM) to arbitrate access to the network. We present a…

Systems and Control · Computer Science 2014-01-21 Chithrupa Ramesh , Henrik Sandberg , Karl H. Johansson

This paper introduces a statistical model for the arrival times of connection events in a computer network. Edges between nodes in a network can be interpreted and modelled as point processes where events in the process indicate information…

Applications · Statistics 2017-11-29 Matthew Price-Williams , Nick Heard

We propose a theoretical framework to study the eigenvalue spectra of the controllability Gramian of systems with random state matrices, such as networked systems with a random graph structure. Using random matrix theory, we provide…

Systems and Control · Computer Science 2016-09-16 Victor M. Preciado , M. Amin Rahimian

This paper presents a machine learning method for event cause analysis to enhance situational awareness in distribution networks. The data streams are captured using time-synchronized high sampling rates synchro waveform measurement units…

Signal Processing · Electrical Eng. & Systems 2020-08-27 Iman Niazazari , Hanif Livani , Amir Ghasemkhani , Yunchuan Liu , Lei Yang

This paper presents a distributed voltage regulation method based on multi-agent system control and network self-organization for a large distribution network. The network autonomously organizes itself into small subnetworks through the…

Systems and Control · Electrical Eng. & Systems 2022-02-02 Badr Al Faiya , Dimitrios Athanasiadis , Minjiang Chen , Stephen McArthur , Ivana Kockar , Haowei Lu , Francisco de Leon

Consider observing a collection of discrete events within a network that reflect how network nodes influence one another. Such data are common in spike trains recorded from biological neural networks, interactions within a social network,…

Machine Learning · Statistics 2018-02-15 Benjamin Mark , Garvesh Raskutti , Rebecca Willett

We use simulation to compare different power flow models in the process of charging electric vehicles (EVs) by considering their random arrivals, their stochastic demand for energy at charging stations, and the characteristics of the…

Optimization and Control · Mathematics 2022-12-08 M. H. M. Christianen , M. Vlasiou , B. Zwart

We characterize the distributions of size and duration of avalanches propagating in complex networks. By an avalanche we mean the sequence of events initiated by the externally stimulated `excitation' of a network node, which may, with some…

Disordered Systems and Neural Networks · Physics 2013-10-22 Daniel B. Larremore , Marshall Y. Carpenter , Edward Ott , Juan G. Restrepo

In this paper, we propose an optimization-based mechanism to explain power law distributions, where the function that the optimization process is seeking to optimize is derived mathematically, then the behavior and interpretation of this…

Physics and Society · Physics 2018-12-27 A. M. Khalili

In this paper we develop a complete analytical framework based on Random Matrix Theory for the performance evaluation of Eigenvalue-based Detection. While, up to now, analysis was limited to false-alarm probability, we have obtained an…

Information Theory · Computer Science 2009-09-23 Federico Penna , Roberto Garello

The availability of large scale streaming network data has reinforced the ubiquity of power-law distributions in observations and enabled precision measurements of the distribution parameters. The increased accuracy of these measurements…

Physics and Society · Physics 2021-08-23 Pat Devlin , Jeremy Kepner , Ashley Luo , Erin Meger

Statistical analysis on networks has received growing attention due to demand from various emerging applications. In dynamic networks, one of the key interests is to model the event history of time-stamped interactions amongst nodes. We…

Methodology · Statistics 2018-10-09 Tony Sit , Zhiliang Ying , Yi Yu

The size distribution of planned and forced outages and following restoration times in power systems have been studied for almost two decades and has drawn great interest as they display heavy tails. Understanding of this phenomenon has…

Statistical Mechanics · Physics 2023-08-09 Bálint Hartmann , Shengfeng Deng , Géza Ódor , Jeffrey Kelling

We introduce a model for the dynamic self-organization of the electric grid. The model is characterized by a conserved magnitude, energy, that can travel following the links of the network to satisfy nodes' load. The load fluctuates in time…

Physics and Society · Physics 2016-08-16 Alessandro Scirè , Idán Tuval , Víctor M. Eguíluz

We propose a power-law decay model with autocorrelation for posting data to social networking services concerning particular events such as national holidays or major sport events. In these kinds of events we observe people's interest both…

Statistics Theory · Mathematics 2016-08-11 Toshifumi Fujiyama , Chihiro Matsui , Akimichi Takemura

Power generation and distribution remains an important topic of discussion since the industrial revolution. As the system continues to grow, it needs to evolve both in infrastructure, robustness and its resilience to deal with failures. One…

Physics and Society · Physics 2017-12-29 Malvika Singh , Sneha Mandan , Smriti Sharma

The operating status of power systems is influenced by growing varieties of factors, resulting from the developing sizes and complexity of power systems; in this situation, the modelbased methods need be revisited. A data-driven method, as…

Methodology · Statistics 2016-07-07 Xinyi Xu , Xing He , Qian Ai , Robert C. Qiu

This paper addresses the problem of voltage regulation in power distribution networks with deep-penetration of distributed energy resources, e.g., renewable-based generation, and storage-capable loads such as plug-in hybrid electric…

Optimization and Control · Mathematics 2015-02-10 Baosen Zhang , Albert Y. S. Lam , Alejandro Dominguez-Garcia , David Tse
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