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This paper addresses the energy accumulation problem, in terms of the $H_2$ norm, of linearly coupled dynamical networks. An interesting outer-coupling relationship is constructed, under which the $H_2$ norm of the newly constructed network…

最优化与控制 · 数学 2007-06-21 Zhisheng Duan , Jinzhi Wang , Guanrong Chen , Lin Huang

We study the spreading of renewable power fluctuations through grids with Ohmic losses on the lines. By formulating a network adapted linear response theory, we find that vulnerability patterns are linked to the left Laplacian eigenvectors…

适应与自组织系统 · 物理学 2024-06-19 Anton Plietzsch , Sabine Auer , Jürgen Kurths , Frank Hellmann

Transmission line failure in power systems prop-agate non-locally, making the control of the resulting outages extremely difficult. In Part II of this paper, we continue the study of line failure localizability in transmission networks and…

系统与控制 · 电气工程与系统科学 2021-04-27 Linqi Guo , Chen Liang , Alessandro Zocca , Steven H. Low , Adam Wierman

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,…

最优化与控制 · 数学 2023-07-06 Nafis Sadik , Mohammad Rasoul Narimani

The redistribution of electrical currents in resistor networks after single-bond failures is analyzed in terms of current-redistribution factors that are shown to depend only on the topology of the network and on the values of the bond…

无序系统与神经网络 · 物理学 2017-03-14 Jörg Lehmann , Jakob Bernasconi

The DC Power Flow approximation has been widely used for decades in both industry and academia due to its computational speed and simplicity, but suffers from inaccuracy, in part due to the assumption of a lossless network. Here we present…

最优化与控制 · 数学 2017-09-21 John W. Simpson-Porco

Continuous-time Markov chains have been successful in modelling systems across numerous fields, with currents being fundamental entities that describe the flows of energy, particles, individuals, chemical species, information, or other…

统计力学 · 物理学 2026-01-14 Sara Dal Cengio , Pedro E. Harunari , Vivien Lecomte , Matteo Polettini

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…

统计力学 · 物理学 2023-08-09 Bálint Hartmann , Shengfeng Deng , Géza Ódor , Jeffrey Kelling

One of the main objectives of the smart grid initiative is to enable bulk power transmission over long distance, with reduced transmission losses. Besides the traditional high-voltage alternating current (HVAC) transmission, with the…

系统与控制 · 计算机科学 2015-08-11 Abhisek Ukil

The Braess paradox is a counter-intuitive phenomenon whereby adding roads to a network results in higher travel time at equilibrium. In this paper we present an algorithm to detect the occurrence of this paradox in real-world networks with…

计算机科学与博弈论 · 计算机科学 2022-02-07 Mikhail Burov , Can Kizilkale , Alexander Kurzhanskiy , Murat Arcak

Power grids sustain modern society by supplying electricity and thus their stability is a crucial factor for our civilization. The dynamic stability of a power grid is usually quantified by the probability of its nodes' recovery to phase…

混沌动力学 · 物理学 2018-11-14 Heetae Kim , Sang Hoon Lee , Jörn Davidsen , Seung-Woo Son

In modern electric power networks with fast evolving operational conditions, assessing the impact of contingencies is becoming more and more crucial. Contingencies of interest can be roughly classified into nodal power disturbances and line…

适应与自组织系统 · 物理学 2019-10-22 Robin Delabays , Melvyn Tyloo , Philippe Jacquod

Given increasing risk from climate-induced natural hazards, there is growing interest in the development of methods that can quantitatively measure resilience in power systems. This work quantifies resilience in electric power transmission…

物理与社会 · 物理学 2019-06-18 Molly Rose Kelly-Gorham , Paul. D. H. Hines , Ian Dobson

Distribution grids represent the final tier in electric networks consisting of medium and low voltage lines that connect the distribution substations to the end-users. Traditionally, distribution networks have been operated in a radial…

最优化与控制 · 数学 2016-03-03 Deepjyoti Deka , Scott Backhaus , Michael Chertkov

Networks are widely used to model the interaction between individual dynamical systems. In many instances, the total number of units as well as the interaction coupling are not fixed in time, but rather constantly evolve. In terms of…

适应与自组织系统 · 物理学 2023-09-19 Melvyn Tyloo

80% of all Renewable Energy Power in Germany is installed in tree-like distribution grids. Intermittent power fluctuations from such sources introduce new dynamics into the lower grid layers. At the same time, distributed resources will…

物理与社会 · 物理学 2017-10-11 Sabine Auer , Frank Hellmann , Marie Krause , Jürgen Kurths

The size distributions of power outages are shown to depend on the stress, or the proximity of the load of an electrical grid to complete breakdown. Using the data for the U.S. between 2002-2017, we show that the outage statistics are…

物理与社会 · 物理学 2020-02-12 Soumyajyoti Biswas , Lucas Goehring

The advent of renewable energy has huge implications for the design and control of power grids. Due to increasing supply-side uncertainty, traditional reliability constraints such as strict bounds on current, voltage and temperature in a…

最优化与控制 · 数学 2019-05-24 Tommaso Nesti , Jayakrishnan Nair , Bert Zwart

We probe the stability of Watts-Strogatz DC microgrids, in which droop-controlled producers and constant power load consumers are homogeneously distributed and obey Kirchhoff's circuit laws. The concept of survivability is employed to…

物理与社会 · 物理学 2020-04-23 Julian F. Wienand , David Eidmann , Julian Kremers , Jobst Heitzig , Frank Hellmann , Jürgen Kurths

Simultaneous transmission of information and power over a point-to-point flat-fading complex Additive White Gaussian Noise (AWGN) channel is studied. In contrast with the literature that relies on an inaccurate linear model of the energy…

信息论 · 计算机科学 2017-06-01 Morteza Varasteh , Borzoo Rassouli , Bruno Clerckx