A robust mean variance optimization model for economic dispatch with wind power integration and evenly distributed Pareto front generation
Corresponding Author
Tao Ding
State Key Laboratory of Electrical Insulation for Power Equipment, Xi'an Jiaotong University, No. 28, Xianning West Road, Xi'an, China
Correspondence
Tao Ding, State Key Laboratory of Electrical Insulation for Power Equipment, Xi'an Jiaotong University, No. 28, Xianning West Road, Xi'an, China.
Email: [email protected]
Search for more papers by this authorYu Kou
State Key Laboratory of Electrical Insulation for Power Equipment, Xi'an Jiaotong University, No. 28, Xianning West Road, Xi'an, China
Search for more papers by this authorZhoujun Ma
Nanjing Power Supply Company, Nanjing, 210019 Jiangsu, China
Search for more papers by this authorYiyang Zhang
Shaanxi Electric Power Research Institute, Xi'an, 710054 Shaanxi, China
Search for more papers by this authorHuan Yan
Shaanxi Electric Power Corporation Economic Research Institute, Xi'an, 710065 Shaanxi, China
Search for more papers by this authorCorresponding Author
Tao Ding
State Key Laboratory of Electrical Insulation for Power Equipment, Xi'an Jiaotong University, No. 28, Xianning West Road, Xi'an, China
Correspondence
Tao Ding, State Key Laboratory of Electrical Insulation for Power Equipment, Xi'an Jiaotong University, No. 28, Xianning West Road, Xi'an, China.
Email: [email protected]
Search for more papers by this authorYu Kou
State Key Laboratory of Electrical Insulation for Power Equipment, Xi'an Jiaotong University, No. 28, Xianning West Road, Xi'an, China
Search for more papers by this authorZhoujun Ma
Nanjing Power Supply Company, Nanjing, 210019 Jiangsu, China
Search for more papers by this authorYiyang Zhang
Shaanxi Electric Power Research Institute, Xi'an, 710054 Shaanxi, China
Search for more papers by this authorHuan Yan
Shaanxi Electric Power Corporation Economic Research Institute, Xi'an, 710065 Shaanxi, China
Search for more papers by this authorSummary
A robust mean variance optimization model is set up for an economic dispatch problem integrating uncertain wind power in a real-time electricity market. The objective of the model is to find a robust optimal solution so as to minimize both the expected total generation cost and hedge the risk resulting from the robustness. Furthermore, the proposed model is transformed into a biobjective second-order cone programming. To generate an evenly distributed Pareto front set that will not overrepresent one region of the design space or neglect others, we propose a normalized-constraint method in this work. The Pareto front, demonstrated in the Institute of Electrical and Electronics Engineers 118-bus case study, shows a trade-off between total generation cost and risk. An important observation during the case study is that the Pareto front of the robust mean variance model has a special shape that, by sacrificing only a little total generation cost, can greatly reduce the risk in the robust real-time economic dispatch.
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