Stochastic Load-Redistribution Model for Cascading Failure Propagation

Abstract

A new class of probabilistic models for cascading failure propagation in interconnected systems is proposed. The models take into account important characteristics of real systems that are not considered in existing generic approaches. Specifically, it is assumed that the load increments after a failure are proportional to the failed load and that the load redistribution among the remaining elements is stochastic. The models are solved analytically in terms of generalized branching processes, and the failure propagation properties of a prototype example are analyzed in detail.

5 pages, 2 figures

References in corpus (4)

• Statistical Models of Fracture
• Failure Processes in Elastic Fiber Bundles
• Dynamic Effects Increasing Network Vulnerability to Cascading Failures
• Failure and avalanches in complex networks

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• Current Redistribution in Resistor Networks: Fat-Tail Statistics in Regular and Small-World Networks