%0 Journal Article
%T The N-K Problem in Power Grids: New Models, Formulations and Numerical Experiments (extended version)
%A Daniel Bienstock
%A Abhinav Verma
%J Mathematics
%D 2009
%I arXiv
%X 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.
%U http://arxiv.org/abs/0912.5233v2