Articles:
The N-k Problem in Power Grids: New Models, Formulations and Numerical Experiments (Extended Version)
Daniel Bienstock; Abhinav Verma
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- Title:
- The N-k Problem in Power Grids: New Models, Formulations and Numerical Experiments (Extended Version)
- Author(s):
-
Bienstock, Daniel
Verma, Abhinav - Date:
- 2008
- Type:
- Articles
- Permanent URL:
- http://hdl.handle.net/10022/AC:P:8574
- Media Type:
- application/pdf
- 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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- 304