A Bilevel Approach for Identifying the Worst Contingencies for Nonconvex Alternating Current Power Systems

DOI10.1137/19M127611XzbMath1461.90080OpenAlexW3133153143MaRDI QIDQ5853569

Sven Leyffer, Brian Dandurand, Ki Baek Kim

Publication date: 10 March 2021

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m127611x

zbMATH Keywords

optimal power flownonlinear mixed-integer programmingnetwork contingency identificationnonconvex robust optimization

Mathematics Subject Classification ID

Mixed integer programming (90C11) Polyhedral combinatorics, branch-and-bound, branch-and-cut (90C57) Nonconvex programming, global optimization (90C26) Robustness in mathematical programming (90C17)

Uses Software

• HSL
• CPLEX
• Gurobi
• Ipopt
• MATPOWER
• Julia
• JuMP
• pstca
• GitHub
• PowerModels.jl
• MaximinOPF.jl
• GNU parallel

Cites Work

• Unnamed Item
• Unnamed Item
• A trilevel programming approach for electric grid defense planning
• Contingency-constrained unit commitment with post-contingency corrective recourse
• A spatial branch-and-cut method for nonconvex QCQP with bounded complex variables
• Branch-and-bound algorithms: a survey of recent advances in searching, branching, and pruning
• Branching rules revisited
• Strong NP-hardness of AC power flows feasibility
• Chordal decomposition in operator-splitting methods for sparse semidefinite programs
• Basic theoretical foundations and insights on bilevel models and their applications to power systems
• On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
• Julia: A Fresh Approach to Numerical Computing
• Optimization Strategies for the Vulnerability Analysis of the Electric Power Grid
• The $N-k$ Problem in Power Grids: New Models, Formulations, and Numerical Experiments
• Bilevel Programming Problems
• Convex Relaxation of Optimal Power Flow—Part I: Formulations and Equivalence
• Convex Relaxation of Optimal Power Flow—Part II: Exactness
• Analysis of Failures in Power Grids
• On the generalization of ECP and OA methods to nonsmooth convex MINLP problems
• Convex Analysis
• JuMP: A Modeling Language for Mathematical Optimization

This page was built for publication: A Bilevel Approach for Identifying the Worst Contingencies for Nonconvex Alternating Current Power Systems