|A Robust Reserve Scheduling Method Considering Asymmetrical Wind Power Distribution
|Guanzhong Wang, Qiaoyan Bian, Huanhai Xin, Zhen Wang
|Department of the Electrical Engineering, Zhejiang University, Hangzhou 310027, China
|  China's wind power installed capacity in 2013, China National Renewable Energy Centre, Beijing, 2013.
 F. Bouffard and F D Galiana, "Stochastic security for operations planning with significant wind power generation," IEEE Trans. Power Syst., vol. 23, no. 2, pp. 306-316, May 2008.
 N. Menemenlis, M. Huneault, and A. Robitaille, "Computation of dynamic operating balancing reserve for wind power integration for the time-horizon 1-48 hours," IEEE Trans. Sust. Energy, vol. 3, no. 4, pp. 692-702, Oct. 2012.
 J. M. Morales, A. J. Conejo, and J. Perez-Ruiz, "Economic valuation of reserves in power systems with high penetration of wind power," IEEE Trans. Power Syst., vol. 24, no. 2, pp. 900-910, May 2009.
 M. A. Ortega-Vazquez and D. S. Kirschen, "Estimating the spinning reserve requirements in systems with significant wind power generation penetration," IEEE Trans. Power Syst., vol. 24, no. 1, pp. 114-124, Feb. 2009.
 S. Tewari, C. J. Geyer, and N. Mohan, "A statistical model for wind power forecast error and its application to the estimation of penalties in liberalized markets," IEEE Trans. Power Syst., vol. 26, no. 4, pp. 2031-2039, Nov. 2011.
 Y. C. Guan, Y. S. Wang, and Z. Y. Tan, "Environmental protection and security considered dynamic economic dispatch for wind farm integrated systems," in Proc. 2012 Asia-Pacific Power and Energy Engineering Conf., Shanghai, China Proc., pp. 1-4.
 J. Hetzer, D. C. Yu, and K. Bhattarai, "An economic dispatch model incorporating wind power," IEEE Trans. Energy Convers., vol. 23, no. 2, pp. 603-611, Jun. 2008.
 W. C. Meng, Q. M. Yang, and Y. X. Sun, "Guaranteed performance control of DFIG variable-speed wind turbines," IEEE Trans. Control Syst. Technol., vol. 24, no. 6, pp. 2215-2223, Nov. 2016.
 Y. Chen, J. Y. Wen, and S. J. Cheng, "Minimum load-curtailment in transmission network planning considering integrated wind farms," Proc. CSEE, vol. 31, no. 34, pp. 20-27, Dec. 2011.
 X. N. Han, J. M. Li, J. Y. Wen, X. M. Ai, J. H. Li, and W. H. Luo, "Optimization for robust energy storage allocation in power system with multiple wind farms integrated," Proc. CSEE, vol. 35, no. 9, pp. 2120-2127, May 2015.
 A. L. Soyster, "Convex programming with set-inclusive constraints and applications to inexact linear programming," Operat. Res., vol. 21, no. 5, pp. 1154-1157, Oct. 1973.
 A. Ben-Tal and A. Nemirovski, "Robust solutions of linear programming problems contaminated with uncertain data," Mathem. Progr., vol. 88, no. 3, pp. 411-424, Sep. 2000.
 D. Bertsimasl and M. Sim, "The price of robustness," Operat. Res., vol. 52, no. 1, pp. 35-53, Feb. 2004.
 S. C. Kang, "Robust linear optimization using distributional information," Ph.D. dissertation, Boston Univ., Boston, USA, 2008.
 A. Ben-Tal, A. Goryashko, E. Guslitzer, and A. Nemirovski, "Adjustable robust solutions of uncertain linear programs," Mathem. Progr., vol. 99, no. 2, pp. 351-376, Mar. 2004.
 R. W. Jiang, J. H. Wang, and Y. P. Guan, "Robust unit commitment with wind power and pumped storage hydro," IEEE Trans. Power Syst., vol. 27, no. 2, pp. 800-810, May 2012.
 H. X. Ye and Z. Y. Li, "Robust security-constrained unit commitment and dispatch with recourse cost requirement," IEEE Trans. Power Syst., vol. 31, no. 5, pp. 3527-3536, Sep. 2016.
 Y. An and B. Zeng, "Exploring the modeling capacity of two-stage robust optimization: variants of robust unit commitment model," IEEE Trans. Power Syst., vol. 30, no. 1, pp. 109-122, Jan. 2015.
 Q. M. Yang, S. Jagannathan, and Y. X. Sun, "Robust integral of neural network and error sign control of MIMO nonlinear systems," IEEE Trans. Neural Netw. Learn. Syst., vol. 26, no. 12, pp. 3278-3286, Dec. 2015.
 E. H. Delage, "Distributionally robust optimization in context of datadriven problems," Ph. D. dissertation, Stanford Univ., Stanford, California, USA, 2009.
 R. Jiang, M. Zhang, G. Li, and Y. Guan, "Benders decomposition for the two-stage security constrained robust unit commitment problem," Ph.D. dissertation, Univ. of Florida, USA, 2011.
 W. C. Meng, Q. M. Yang, Y. Ying, Y. Sun, Z. Y. Yang, and Y. X. Sun, "Adaptive power capture control of variable-speed wind energy conversion systems with guaranteed transient and steady-state performance," IEEE Trans. Energy Convers., vol. 28, no. 3, pp. 716-725, Sep. 2013.
 B. P. G. V. Parys, D. Kuhn, P. J. Goulart, and M. Morari, "Distributionally robust control of constrained stochastic systems,"IEEE Trans. Autom. Control, vol. 61,no. 2, 2015.
 S. Zymler, D. Kuhn, and B. Rustem, "Worst-case value at risk of nonlinear portfolios," Management Science, vol. 59, no. 1, pp. 172-188, Jan. 2013.
 Z. G. Li, W. C. Wu, B. M. Zhang, and B. Wang, "Adjustable robust realtime power dispatch with large-scale wind power integration," IEEE Trans. Sust. Energy, vol. 6, no. 2, pp. 357-368, Apr. 2015.
 W. Wei, F. Liu, S. W. Mei, and Y. H. Hou, "Robust energy and reserve dispatch under variable renewable generation," IEEE Trans. Smart Grid, vol. 6, no. 1, pp. 369-380, Jan. 2015.
 G. Andersson, "Modeling and Analysis of Electric Power Systems", Zurich, Switzerland: ETH Zurich, 2008, Lecture Notes.
 M. Vrakopoulou, K. Margellos, J. Lygeros, and G. Andersson, "A probabilistic framework for reserve scheduling and N-1 security assessment of systems with high wind power penetration," IEEE Trans. Power Syst., vol. 28, no. 4, pp. 3885-3896, Nov. 2013.
 J. Lofberg, "YALMIP: A toolbox for modeling and optimization in MATLAB," in Proc. 2004 IEEE Int. Symp. Computer Aided Control Systems Design, Taipei, China, pp. 284-289.
 CPLEX11. 0 Users Manual, ILOG. SA., Gentilly, France, 2008.
 M. A. Pai, Energy Function Analysis for Power System Stability. US: Springer, 1989.