文档介绍：华中科技大学硕士学位论文
摘要
复杂网络己经被普遍认为是刻画和研究自然界和人类社会中各种复杂体系结
构的一种全新而有效的工具。近年来,科学家己经对大量的网络做了深入的研究,
例如:通信网络、计算机网络、神经网络、社会网络、科学家合作网络、生态网络、
交通网络等。
本文在立足复杂网络理论的基础上应用复杂网络分析工具 pajek 对美国西部电
网进行了实证研究,包括拓扑结构分析和抗毁性分析。
其中对美国西部电网拓扑结构进行了详细的分析,求出了电网的度和累积度分
布、介数及累积介数分布、集聚系数、平均度、平均最短路径长度、最大连通域、
紧密度、韧性度等重要参数,验证美国西部电力网具有小世界特性。最后简要地介
绍了电网的小世界特性对连锁故障的影响。
在抗毁性分析中,提出关于度、介数、核(core)和紧密度的四种基于重要节
点的综合攻击策略。依托最大连通域、平均最短路径、聚集系数及新引进的韧性度
等指标对美国西部电网拓扑结构抗毁性进行评价。最终得出类似于美国西部电网的
小世界网络在对基于介数的攻击策略(CB)最具脆弱性,基于紧密度的攻击策略
(CCs)次之,然后是基于度的攻击策略(CD),)。
构建了无标度网模型,用提出的四种攻击策略进行攻击,同样对抗毁性进行评价。
最终得出无标度网基于四种攻击策略的抗毁性,所体现的脆弱性由大到小降序排列
为:基于介数的攻击策略(CB)> s)> 基于核的攻击
)> 基于度的攻击策略(CD)
关键词:复杂网络;美国西部电网;拓扑结构;攻击策略;抗毁性
I
华中科技大学硕士学位论文
Abstract
It is now universally acknowledged work is a novel and efficient
tool for characterizing and studying plex structures in both nature and society.
At present, scientists have already done much research on lots works. For example,
works, works, works, works,
scientific-works, works, works, and so on.
Based work theory, this thesis conducted an empirical research on
the western power grid of the United States by work analysis tools
Pajek, including topological structure analysis and invulnerability analysis.
First, a detailed analysis of the work topology of the western United States
was given; then some important parameters were obtained, such as the degree of power
network and the cumulative distribution, the betweenness centrality and cumulative
betweenness centrality distribution, clustering coefficient, average degree, the average
length of the shortest path, the maximum connected region, closeness centrality and
tenacity. The results validate the small world characteristics of the western power grid of
.. Finally, the small-world characteristics of the electric work and its
effect on cascading failure are qualitatively analyzed.
In the invulnerability analysis, four integrative attack strategies of degree,
betw