A LOADING-DEPENDENT MODEL OF PROBABILISTIC CASCADING FAILURE
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- 1 January 2005
- journal article
- research article
- Published by Cambridge University Press (CUP) in Probability in the Engineering and Informational Sciences
- Vol. 19 (1), 15-32
- https://doi.org/10.1017/s0269964805050023
Abstract
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.Keywords
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