Comparing Machine Learning and Optimization Approaches for the N − k Interdiction Problem Considering Load Variability

dc.contributor.authorOwen Aquino, Alejandro
dc.contributor.authorHarris, Rachel
dc.contributor.authorKody, Alyssa
dc.contributor.authorMolzahn, Daniel
dc.date.accessioned2022-12-27T19:05:22Z
dc.date.available2022-12-27T19:05:22Z
dc.date.issued2023-01-03
dc.description.abstractPower grids must be operated, protected, and maintained such that a small number of line failures will not result in significant load shedding. To identify problematic combinations of failures, we consider an N-k interdiction problem that seeks the set of k failed lines (out of N total lines) that result in the largest load shed. This is naturally formulated as a bilevel optimization problem with an upper level representing the attacker that selects line failures and a lower level modeling the defender's generator redispatch to minimize the load shedding. Compounding the difficulties inherent to the bilevel nature of interdiction problems, we consider a nonlinear AC power flow model that makes this problem intractable with traditional solution approaches. Furthermore, since the solutions found at a particular load condition may not generalize to other loading conditions, operators may need to quickly recompute these worst-case failures online to protect against them during operations. To address these challenges, we formulate and compare the performance of three simplified methods for solving the N-k interdiction problem: a state-of-the-art optimization approach based on a network-flow relaxation of the power flow equations and two newly developed machine learning algorithms that predict load sheds given the state of the network.
dc.format.extent10
dc.identifier.doi10.24251/HICSS.2023.340
dc.identifier.isbn978-0-9981331-6-4
dc.identifier.other8c819e1c-ad09-4b34-926f-1e4378a1d23a
dc.identifier.urihttps://hdl.handle.net/10125/102971
dc.language.isoeng
dc.relation.ispartofProceedings of the 56th Hawaii International Conference on System Sciences
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectResilient Networks
dc.subjectbilevel optimization
dc.subjectinterdiction
dc.subjectneural networks
dc.subjectn − k
dc.titleComparing Machine Learning and Optimization Approaches for the N − k Interdiction Problem Considering Load Variability
dc.type.dcmitext
prism.startingpage2766

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