Academic Commons Search Results
http://academiccommons.columbia.edu/catalog.rss?f%5Bauthor_facet%5D%5B%5D=Verma%2C+Abhinav&f%5Bdepartment_facet%5D%5B%5D=Applied+Physics+and+Applied+Mathematics&q=&rows=500&sort=record_creation_date+desc
Academic Commons Search Resultsen-usThe N-k Problem in Power Grids: New Models, Formulations and Numerical Experiments (Extended Version)
http://academiccommons.columbia.edu/catalog/ac:125318
Bienstock, Daniel; Verma, Abhinavhttp://hdl.handle.net/10022/AC:P:8574Wed, 17 Mar 2010 17:38:39 +0000Given 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.db17Industrial Engineering and Operations Research, Applied Physics and Applied MathematicsArticles