A game theory approach to vulnerability analysis: Integrating power flows with topological analysis |
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| Affiliation: | 1. Department of Computer Science, Missouri University of Science and Technology, Rolla, MO 65409, United States;2. Department of Electrical and Computer Engineering at Missouri University of Science and Technology, Rolla, MO 65409, United States;3. Nokia Networks, Mountain View, CA 94043, United States;1. Carnegie Mellon University, 5000 Forbes Ave Pittsburgh, PA, USA;2. Toyota Technical Center, 1630 W. 186th, Gardena, CA, USA;1. Consorzio Milano Ricerche, via Roberto Cozzi 53, Milano, 20125, Italy;2. Department of Computer Science, Systems and Communication, University of Milano-Bicocca, viale Sarca 336, Milano, 20126, Italy;1. Institute of Computer Science, Cracow University of Technology, Poland;2. Department of Computer Science, University of Salerno, Italy;3. Research and Academic Computer Network (NASK), Kolska st 12, 01-045, Warsaw, Poland |
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| Abstract: | This paper presents a new framework for vulnerability analysis. Under this framework, we can identify the vulnerable components and the critical components of a power grid. Distinct from previous work, our model considers the interaction between the components of the power system, and models the dynamic evolving process of cascading failures. The impact of a component failure on the system is dynamically changing as the failure propagates. We analyze the vulnerability of a power grid using an optimization model based on game theory, and use linear programming method to solve it. Since instability is the reason of power outage, we use an instability index to measure the negative impact to the system. The results from this optimization problem suggest which component of the system is critical since its failure can most negatively impact the cyber-physical system. |
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| Keywords: | Vulnerability analysis Topological analysis Power flow Instability Game theory Linear programming |
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