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For large-scale power networks, the failure of particular transmission linescan offload power to other lines and cause self-protection trips to activate,instigating a cascade of line failures. In extreme cases, this can bring downthe entire network. Learning where the vulnerabilities are and the expectedtimescales for which failures are likely is an active area of research. In thisarticle we present a novel stochastic dynamics model for a large-scale powernetwork along with a framework for efficient computer simulation of the modelincluding long timescale events such as cascade failure. We build on anexisting Hamiltonian formulation and introduce stochastic forcing and dampingcomponents to simulate small perturbations to the network. Our model andsimulation framework allow assessment of the particular weaknesses in a powernetwork that make it susceptible to cascade failure, along with the timescalesand mechanism for expected failures.

Simulating the stochastic dynamics and cascade failure of power networks