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The N-k Problem in Power Grids: New Models, Formulations and Numerical Experiments (Extended Version)

Daniel Bienstock; Abhinav Verma

Title:
The N-k Problem in Power Grids: New Models, Formulations and Numerical Experiments (Extended Version)
Author(s):
Bienstock, Daniel
Verma, Abhinav
Date:
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Articles
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Abstract:
Given a power grid modeled by a network together with equations describing the power flows, power generation and consumption, and the laws of physics, the so-called N-k problem asks whether there exists a set of k or fewer arcs whose removal will cause the system to fail. The case where k is small is of practical interest. We present theoretical and computational results involving a mixed-integer model and a continuous nonlinear model related to this question.
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