Abstract：The receding optimization model of long-term voltage stability control is established under framework of model predictive control, the Radau collocation method is used to convert this dynamic optimization model into a large-scale nonlinear programming problem directly, and then this nonlinear programming problem is solved using the feasibility restoration algorithm. The basic idea of this approach is that, when the line search filter method encounters convergent difficulty during solution of the this nonlinear programming problem, the optimization process will be switched to feasibility restoration of original nonlinear programming problem, and try to find a new iteration point so that the optimization computation can continue from this point. The numerical results on IEEE 50-machine 145-bus system demonstrate that the proposed algorithm has fast speed and strong stability in solving difficult optimization problem.
王爽, 谢敏, 刘明波. 可行性恢复算法求解模型预测长期电压稳定控制问题[J]. 电工技术学报, 2012, 27(9): 62-69.
Wang Shuang, Xie Min, Liu Mingbo. Feasibility Restoration Algorithm for Solving Model Predictive Long-Term Voltage Stability Control. Transactions of China Electrotechnical Society, 2012, 27(9): 62-69.
[1] James B Rawlings. Tutorial overview of model predictive control[J]. IEEE Control Systems Magazine, 2000, 20(3): 38-52. [2] 丁宝苍. 预测控制的理论与方法[M]. 北京: 机械工业出版社, 2008. [3] Mats Larsson, Daniel Karlsson. Coordinated system protection scheme against voltage collapse using heuristic search and predictive control[J]. IEEE Transactions on Power Systems, 2003, 18(3): 1001-1006. [4] Mats Larsson, David J Hill, Gustaf Olsson. Emergency voltage control using search and predictive control[J]. Electrical Power and Energy Systems, 2002, 24(2): 121-130. [5] J Y Wen, Q H Wu, D R Turner, et al. Optimal coordinated voltage control for power system voltage stability[J]. IEEE Transactions on Power Systems, 2004, 19(2): 1115-1122. [6] L Lin R Kumar, et al. Application of model predictive control in voltage stability[C]. Proceedings of the 2007 American Control Conference, New York, USA, 2007: 5916-5921. [7] 刘水平, 刘明波, 谢敏. 基于轨迹灵敏度的电力系统模型预测切负荷控制方法[J]. 中国电机工程学报, 2010, 30(34): 28-35. Liu Shuiping, Liu Mingbo, Xie Min. Model predictive control method for load shedding of power systems based on trajectory sensitivities[J]. Proceedings of the CSEE, 2010, 30(34): 28-35. [8] Wächter A, Biegler L T. On the implementation of primal-dural interior point filter line search algorithm for large-scale nonlinear programming[J]. Mathematical Programming, 2006, 106(1): 25-27. [9] Wächter A, Biegler L T. Line search filter methods for nonlinear programming: Motivation and global convergence[J]. SIAM Journal on Optimization, 2005, 16(3): 1-31. [10] Cutsem T V, Vournas C. Voltage stability of electric power systems[M]. Norwell, MA: Kluwer Academic Publishers, 1998. [11] Hill D J. Nonlinear dynamic load models with recovery for voltage stability studies[J]. IEEE Transactions on Power Systems, 1993, 2(8): 166-176. [12] 钱积新, 赵均, 徐祖华. 预测控制[M]. 北京: 化学工业出版社, 2007. [13] Hairer E, Nørsett S P, Wanner G. Solving ordinary differential equations Ⅱ: stiff and differential- algebraic problems[M]. 北京: 科学出版社, 2006. [14] Ascher U M, Petzold L R. Computing methods for ordinary differential equations and differential- algebraic equations[M]. Philadelphia: SIAM, 1998. [15] Liu Mingbo, Tso S K, ChengYing. An extended nonlinear primal- dual interior-point algorithm for reactive-power optimization of large-scale power systems with discrete control variables[J]. IEEE Transactions on Power Systems, 2002, 17(4): 982-991. [16] Wächter A. An interior point algorithm for large-scale nonlinear optimization with applications in process engineering[D]. Pittsburgh: Carnegie Mellon University, 2002. [17] Fourer R, Gay D M, Kernighan B W. AMPL: a modeling language for mathematical programming[M]. 2nd ed. Belmont, CA: Thomson Brooks Cole, 2003. [18] Anderson P M, Fouad A A. Power system control and stability[M]. New York: IEEE Press, 1993. [19] 胡泊, 刘明波. 含二次电压控制器最优协调电压控制的切换直接算法[J]. 中国电机工程学报, 2010, 30(25): 29-36. Hu Bo, Liu Mingbo. OCVC model embedded with secondary voltage controllers and its switching direct algorithm[J]. Proceedings of the CSEE, 2010, 30(25): 29-36.
2012, Vol. 27 
