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Given a power grid and a transmission (coupling) strength, basin stability is a measure of synchronization stability for individual nodes. Earlier studies have focused on the basin stability's dependence of the position of the nodes in the…

混沌动力学 · 物理学 2016-07-01 Heetae Kim , Sang Hoon Lee , Petter Holme

In electric power systems delivering alternating current, it is essential to maintain its synchrony of the phase with the rated frequency. The synchronization stability that quantifies how well the power-grid system recovers its synchrony…

物理与社会 · 物理学 2019-10-24 Heetae Kim , Mi Jin Lee , Sang Hoon Lee , Seung-Woo Son

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

Reasonably large perturbations may push a power grid from its stable synchronous state into an undesirable state. Identifying vulnerabilities in power grids by studying power grid stability against such perturbations can aid in preventing…

适应与自组织系统 · 物理学 2025-08-26 Calvin Alvares , Soumitro Banerjee

Synchronization is essential for proper functioning of the power grid. We investigate the synchronous state and its stability for a network with a cyclic topology and with the evolution of the states satisfying the swing equations. We…

混沌动力学 · 物理学 2017-09-13 Kaihua Xi , Johan. L. A. Dubbeldam , Haixiang Lin

The synchronization stability has been analyzed as one of the important dynamical characteristics of power grids. In this study, we bring the operational perspective to the synchronization stability analysis by counting not only full but…

物理与社会 · 物理学 2021-07-07 Heetae Kim

Optimizing the stability and control performance of complex networks often hinges on effectively identifying critical nodes for targeted intervention. Due to their inherent complexity and high dimensionality, large-scale energy flow…

物理与社会 · 物理学 2025-08-26 Yi Li , Xin Li

Comparable to the traditional notion of stability in system dynamics, resilience is typically measured in a way that assesses the quality of a system's response, for example the speed of its recovery. We present a broadly applicable…

物理与社会 · 物理学 2023-06-26 Samuel Bien , Paul Schultz , Jobst Heitzig , Jonathan F. Donges

Extreme events represent a challenge to natural as well as man-made systems. For critical infrastructure like power grids, we need to understand their resilience against large disturbances. Recently, new measures of the resilience of…

混沌动力学 · 物理学 2016-06-22 Sabine Auer , Kirsten Kleis , Paul Schultz , Jürgen Kurths , Frank Hellmann

We study synchronization dynamics in networks of coupled oscillators with bimodal distribution of natural frequencies. This setup can be interpreted as a simple model of frequency synchronization dynamics among generators and loads working…

物理与社会 · 物理学 2012-07-03 Sergi Lozano , Lubos Buzna , Albert Díaz-Guilera

Dynamical entities interacting with each other on complex networks often exhibit multistability. The stability of a desired steady regime (e.g., a synchronized state) to large perturbations is critical in the operation of many real-world…

混沌动力学 · 物理学 2017-03-22 Chiranjit Mitra , Anshul Choudhary , Sudeshna Sinha , Jürgen Kurths , Reik V. Donner

The energy transition is causing many stability-related challenges for power systems. Transient stability refers to the ability of a power grid's bus angles to retain synchronism after the occurrence of a major fault. In this paper a…

最优化与控制 · 数学 2021-01-12 Tim Aschenbruck , Willem Esterhuizen , Stefan Streif

The discovery of community structure is a common challenge in the analysis of network data. Many methods have been proposed for finding community structure, but few have been proposed for determining whether the structure found is…

数据分析、统计与概率 · 物理学 2008-04-29 Brian Karrer , Elizaveta Levina , M. E. J. Newman

We examine phase transitions between the easy, hard, and the unsolvable phases when attempting to identify structure in large complex networks (community detection) in the presence of disorder induced by network noise (spurious links that…

统计力学 · 物理学 2015-06-04 Dandan Hu , Peter Ronhovde , Zohar Nussinov

The large amount of work on community detection and its applications leaves unaddressed one important question: the statistical validation of the results. In this paper we present a methodology able to clearly detect if the community…

社会与信息网络 · 计算机科学 2016-10-18 Annamaria Carissimo , Luisa Cutillo , Italia Defeis

In this work, we analyse and predict the stability of communities in complex networks. We use a variant of closeness centrality, known as profile closeness, to measure the loyalty of a member towards its community. We show that the profile…

社会与信息网络 · 计算机科学 2022-07-14 Sruthi K S , Divya Sindhu Lekha , A Sreekumar , Kannan Balakrishnan

One of the most prominent properties in real-world networks is the presence of a community structure, i.e. dense and loosely interconnected groups of nodes called communities. In an attempt to better understand this concept, we study the…

社会与信息网络 · 计算机科学 2012-08-16 Günce Keziban Orman , Vincent Labatut , Hocine Cherifi

We have found that known community identification algorithms produce inconsistent communities when the node ordering changes at input. We propose two metrics to quantify the level of consistency across multiple runs of an algorithm:…

物理与社会 · 物理学 2009-10-10 Haewoon Kwak , Young-Ho Eom , Yoonchan Choi , Hawoong Jeong , Sue Moon

Power system coherency refers to the phenomenon that machines in a power network exhibit similar frequency responses after disturbances, and is foundational for model reduction and control design. Despite abundant empirical observations,…

系统与控制 · 电气工程与系统科学 2025-11-11 Yixuan Liu , Yingzhu Liu , Pengcheng You

Load balancing between adjacent base stations (BSs) is important for balancing load distributions and improving service provisioning. Whilst load balancing between any given pair of BSs is beneficial, cascade load sharing can cause network…

网络与互联网体系结构 · 计算机科学 2019-02-27 Giannis Moutsinas , Weisi Guo
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