Exact Penalty Function based Constraint Relaxation Method for Optimal Power Flow Considering Wind Generation Uncertainty
This letter presents a constraint relaxation optimal power flow (OPF) model to tackle the issues when traditional OPF is infeasible under large variations such as wind generation output. In this model, the original hard constraints are relaxed into soft constraints and the objective function is adjusted for the cost of constraint violations. To guarantee the equivalence to the original OPF model when there are feasible solutions, an exact penalty function method is introduced to justify the selection of penalty factor of constraint violations. By solving an optimization problem, the lower bound of the proper penalty factor is obtained. The results of a 6-bus test system show that the proposed method achieves the same solution when the original OPF has feasible region, and an optimal solution can be obtained with minimum constraint violation when original OPF has no feasible region. Lastly, three large IEEE systems are tested to verify the effectiveness of proposed method.
T. Ding et al., "Exact Penalty Function based Constraint Relaxation Method for Optimal Power Flow Considering Wind Generation Uncertainty," IEEE Transactions on Power Systems, vol. 30, no. 3, pp. 1546-1547, Institute of Electrical and Electronics Engineers (IEEE), May 2015.
The definitive version is available at https://doi.org/10.1109/TPWRS.2014.2341177
Electrical and Computer Engineering
Keywords and Phrases
Acoustic Generators; Electric Load Flow; Optimization; Wind Power; Bi-Level Programming; Constraint Relaxation; Exact Penalty Functions; Karush-Kuhn-Tucker Condition; Optimal Power Flows; Functions; Exact Penalty Function; Karush-Kuhn-Tucker (KKT) Conditions; Optimal Power Flow (OPF)
International Standard Serial Number (ISSN)
Article - Journal
© 2015 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.
01 May 2015