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Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 9153297, 11 pages
Research Article

Two-Stage Robust Security-Constrained Unit Commitment with Optimizable Interval of Uncertain Wind Power Output

1College of Energy and Electrical Engineering, Hohai University, Nanjing, Jiangsu 211100, China
2State Grid Jiangsu Electric Power Company, Nanjing, Jiangsu 210024, China
3Electric Power Research Institute of State Grid Jiangsu Electric Power Company, Nanjing, Jiangsu 211103, China
4School of Electrical Engineering, Southeast University, Nanjing, Jiangsu 210096, China

Correspondence should be addressed to Liudong Zhang

Received 16 February 2017; Accepted 11 June 2017; Published 20 July 2017

Academic Editor: Fazal M. Mahomed

Copyright © 2017 Dayan Sun et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Because wind power spillage is barely considered, the existing robust unit commitment cannot accurately analyze the impacts of wind power accommodation on on/off schedules and spinning reserve requirements of conventional generators and cannot consider the network security limits. In this regard, a novel double-level robust security-constrained unit commitment formulation with optimizable interval of uncertain wind power output is firstly proposed in this paper to obtain allowable interval solutions for wind power generation and provide the optimal schedules for conventional generators to cope with the uncertainty in wind power generation. The proposed double-level model is difficult to be solved because of the invalid dual transform in solution process caused by the coupling relation between the discrete and continuous variables. Therefore, a two-stage iterative solution method based on Benders Decomposition is also presented. The proposed double-level model is transformed into a single-level and two-stage robust interval unit commitment model by eliminating the coupling relation, and then this two-stage model can be solved by Benders Decomposition iteratively. Simulation studies on a modified IEEE 26-generator reliability test system connected to a wind farm are conducted to verify the effectiveness and advantages of the proposed model and solution method.