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
收藏
页码：45 / 72
页数：28
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