Robustness of power-law behavior in cascading line failure models

被引：3

作者：

Sloothaak, F. ^{[1
]}

Borst, S. C. ^{[1
,2
]}

Zwart, B. ^{[1
,3
]}

机构：

[1] Eindhoven Univ Technol, Dept Math & Comp Sci, POB 513, NL-5600 MB Eindhoven, Netherlands

[2] Nokia Bell Labs, Murray Hill, NJ USA

[3] CWI, Amsterdam, Netherlands

来源：

STOCHASTIC MODELS | 2018年 / 34卷 / 01期

关键词：

Cascading failures; power-law; blackouts; rare-event;

D O I：

10.1080/15326349.2017.1383165

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Inspired by reliability issues in electric transmission networks, we use a probabilistic approach to study the occurrence of large failures in a stylized cascading line failure model. Such models capture the phenomenon where an initial line failure potentially triggers massive knock-on effects. Under certain critical conditions, the probability that the number of line failures exceeds a large threshold obeys a power-law distribution, a distinctive property observed in empiric blackout data. In this paper, we examine the robustness of the power-law behavior by exploring under which conditions this behavior prevails.

引用

页码：45 / 72

页数：28

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