Journal
IEEE TRANSACTIONS ON POWER SYSTEMS
Volume 24, Issue 1, Pages 96-104Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TPWRS.2008.2004825
Keywords
Failure analysis; load flow analysis; power system security
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Funding
- U.S. Department of Energy [DE-AI02-05ER25670]
- Office of Naval Research
- Air Force Office of Scientific Research
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This paper generalizes Benders decomposition to maximize a nonconcave objective function and uses that decomposition to solve an electric power grid interdiction problem. Under one empirically verified assumption, the solution to this bilevel optimization problem identifies a set of components, limited by cardinality or interdiction resource, whose destruction maximizes economic losses to customers (and can thereby guide defensive measures). The decomposition subproblem typically incorporates a set of do optimal power-flow models that cover various states of repair after an attack, along with a load-duration curve. Test problems describe a regional power grid in the United States with approximately 5000 buses, 6000 lines, and 500 generators. Solution time on a 2-GHz personal computer is approximately one hour.
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