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在真实电网的长期历史数据中搜索小世界和无标度行为。

Searching for small-world and scale-free behaviour in long-term historical data of a real-world power grid.

机构信息

ELKH Centre for Energy Research, Budapest, Hungary.

出版信息

Sci Rep. 2021 Mar 22;11(1):6575. doi: 10.1038/s41598-021-86103-7.

DOI:10.1038/s41598-021-86103-7
PMID:33753860
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7985505/
Abstract

Since the introduction of small-world and scale-free properties, there is an ongoing discussion on how certain real-world networks fit into these network science categories. While the electrical power grid was among the most discussed examples of these real-word networks, published results are controversial, and studies usually fail to take the aspects of network evolution into consideration. Consequently, while there is a broad agreement that power grids are small-world networks and might show scale-free behaviour; although very few attempts have been made to find how these characteristics of the network are related to grid infrastructure development or other underlying phenomena. In this paper the authors use the 70-year-long historical dataset (1949-2019) of the Hungarian power grid to perform complex network analysis, which is the first attempt to evaluate small-world and scale-free properties on long-term real-world data. The results of the analysis suggest that power grids show small-world behaviour only after the introduction of multiple voltage levels. It is also demonstrated that the node distribution of the examined power grid does not show scale-free behaviour and that the scaling is stabilised around certain values after the initial phase of grid evolution.

摘要

自从引入小世界和无标度特性以来,一直在讨论某些现实世界的网络如何符合这些网络科学类别。虽然输电网是这些现实网络中讨论最多的例子之一,但已发表的结果存在争议,而且研究通常未能考虑网络演化的方面。因此,尽管人们普遍认为电网是小世界网络,并且可能表现出无标度行为;尽管很少有人试图找出网络的这些特征与电网基础设施发展或其他潜在现象之间的关系。在本文中,作者使用了匈牙利电网长达 70 年的历史数据集(1949-2019 年)来进行复杂网络分析,这是首次尝试在长期的现实数据上评估小世界和无标度特性。分析结果表明,只有在引入多个电压等级后,电网才表现出小世界行为。还证明了所研究的电网的节点分布没有表现出无标度行为,并且在电网演化的初始阶段之后,标度在某些值周围稳定下来。

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