A loading-dependent model of probabilistic cascading failure

被引：229

作者：

Dobson, I ^{[1
]}

Carreras, BA

Newman, DE

机构：

[1] Univ Wisconsin, Dept Elect & Comp Engn, Madison, WI 53706 USA

[2] Oak Ridge Natl Lab, Oak Ridge, TN 37831 USA

[3] Univ Alaska, Dept Phys, Fairbanks, AK 99775 USA

来源：

PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES | 2005年 / 19卷 / 01期

关键词：

D O I：

10.1017/S0269964805050023

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We propose an analytically tractable model of loading-dependent cascading failure that captures some of the salient features of large blackouts of electric power transmission systems. This leads to a new application and derivation of the quasibinomial distribution and its generalization to a saturating form with an extended parameter range. The saturating quasibinomial distribution of the number of failed components has a power-law region at a critical loading and a significant probability of total failure at higher loadings.

引用

页码：15 / 32

页数：18

共 34 条

[1] [Anonymous], 2003, 37 ANN HAW INT C SYS
[2] [Anonymous], 1967, COMBINATORIAL METHOD
[3] [Anonymous], P 34 IEEE HAW INT C
[4] RANDOM MAPPINGS WITH AN ATTRACTING CENTER - LAGRANGIAN DISTRIBUTIONS AND A REGRESSION FUNCTION
BERG, S
MUTAFCHIEV, L
[J]. JOURNAL OF APPLIED PROBABILITY, 1990, 27 (03) : 622 - 636
[5] Billington R., 1996, RELIABILITY EVALUATI
[6] ON A SIMPLE FORMULA FOR RANDOM MAPPINGS AND ITS APPLICATIONS
BURTIN, YD
[J]. JOURNAL OF APPLIED PROBABILITY, 1980, 17 (02) : 403 - 414
[7] Carreras B, 2001, 34 HAW INT C SYST SC
[8] Carreras B.A., 2003, 36 HAW INT C SYST SC
[9] Evidence for self-organized criticality in a time series of electric power system blackouts
Carreras, BA
Newman, DE
Dobson, I
Poole, AB
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2004, 51 (09) : 1733 - 1740
[10] Critical points and transitions in an electric power transmission model for cascading failure blackouts
Carreras, BA
Lynch, VE
Dobson, I
Newman, DE
[J]. CHAOS, 2002, 12 (04) : 985 - 994

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