IEEE Transactions on Power Systems · 2005 · 432 citations · 15 references
EngineeringElectrical EngineeringSystems EngineeringEnergy EconomicsEnergy SystemsOptimizationPower Grid AnalysisPower SystemsSystem SecurityBenders DecompositionEconomic DispatchElectrical Power SystemsIndependent System OperatorsIterative Design ProcessLagrangian RelaxationPower System OptimizationUnit Commitment
In a restructured power market, the independent system operator (ISO) executes the security-constrained unit commitment (SCUC) program to plan a secure and economical hourly generation schedule for the day-ahead market. This paper introduces an efficient SCUC approach with ac constraints that obtains the minimum system operating cost while maintaining the security of power systems. The proposed approach applies the Benders decomposition for separating the unit commitment (UC) in the master problem from the network security check in subproblems. The master problem applies the augmented Lagrangian relaxation (LR) method and dynamic programming (DP) to solve UC. The subproblem checks ac network security constraints for the UC solution to determine whether a converged and secure ac power flow can be obtained. If any network violations arise, corresponding Benders cuts will be formed and added to the master problem for solving the next iteration of UC. The iterative process will continue until ac violations are eliminated and a converged optimal solution is found. In this paper, a six-bus system and the IEEE 118-bus system with 54 units are analyzed to exhibit the effectiveness of the proposed approach.
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Generalized Benders decomposition
Arthur M. Geoffrion · Journal of Optimization Theory and Applications · 1972 · 2.5K citations
S.J. Wang, Mohammad Shahidehpour, Daniel S. Kirschen et al. · IEEE Transactions on Power Systems · 1995 · 538 citations
Natural Sciences, Industrial Engineering, Energy Systems +16
Further developments in LP-based optimal power flow
O. Alsaç, Joseph M. Bright, M. Prais et al. · IEEE Transactions on Power Systems · 1990 · 524 citations