Robustness of power-law behavior in cascading line failure models

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Abstract

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.
Original languageEnglish
Pages (from-to)45-72
Number of pages28
JournalStochastic Models
Volume34
Issue number1
DOIs
Publication statusPublished - 2018

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Power Law
Robustness
Electric power transmission
Line
Electric power transmission networks
Circuit theory
Probabilistic Approach
Power-law Distribution
Trigger
Model
Exceed

Cite this

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title = "Robustness of power-law behavior in cascading line failure models",
abstract = "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.",
author = "F. Sloothaak and B. Zwart and S.C. Borst",
year = "2018",
doi = "10.1080/15326349.2017.1383165",
language = "English",
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Robustness of power-law behavior in cascading line failure models. / Sloothaak, F.; Zwart, B.; Borst, S.C.

In: Stochastic Models, Vol. 34, No. 1, 2018, p. 45-72.

Research output: Contribution to journalArticleAcademicpeer-review

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AU - Sloothaak, F.

AU - Zwart, B.

AU - Borst, S.C.

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Y1 - 2018

N2 - 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.

AB - 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.

U2 - 10.1080/15326349.2017.1383165

DO - 10.1080/15326349.2017.1383165

M3 - Article

VL - 34

SP - 45

EP - 72

JO - Stochastic Models

JF - Stochastic Models

SN - 1532-6349

IS - 1

ER -