动态无功优化的多阶段求解方法A Multi-Stage Solution Approach for Dynamic Reactive Power Optimization
孙田;邹鹏;杨知方;钟海旺;戴国华;夏清;
摘要(Abstract):
动态无功优化是保障电网安全经济运行的重要手段之一。然而,动态无功优化属于大规模、多时段、强耦合的非线性混合整数规划问题,直接求解困难。为处理无功优化问题中包含的离散变量及时段耦合约束,基于动态无功优化问题的物理本质,提出了动态无功优化模型的多阶段求解方法。第1阶段以系统网损最小化为目标,松弛离散变量和无功设备全天动作次数约束,基于内点法计算得到动态无功优化问题的初始解。第2阶段以网损增量最小化为目标,基于目标函数对控制变量的灵敏度,将子问题在当前解附近线性化,构建以无功控制设备全天动作次数为约束的混合整数规划模型,由此决策无功设备全天动作次数约束下的离散控制变量优化解。在此基础上,将第2阶段得到的优化结果代入到第1阶段的优化模型当中,得到多阶段动态无功优化问题的优化结果。Ward&Hale 6节点算例系统和国内某省网实际系统计算结果验证了所提模型和求解方法的高效性和适用性。
关键词(KeyWords): 动态无功优化;多阶段;动作次数限制;内点法;混合整数规划
基金项目(Foundation): 国家自然科学基金项目(51537005)~~
作者(Author): 孙田;邹鹏;杨知方;钟海旺;戴国华;夏清;
Email:
DOI: 10.13335/j.1000-3673.pst.2016.06.029
参考文献(References):
- [1]Zhu J Z.Reactive power optimization[M].New York:Wiley,2009:409-454.
- [2]Canizares C A,Bhattacharya K,EI-Samahy I,et al.Re-defining the reactive power dispatch problem in the context of competitive electricity markets[J].IEE Proc.Generation,Transmission,and Distribution,2010,4(2):162-177.
- [3]刘明波,谢敏,赵维星.大电网最优潮流计算[M].北京:科学出版社,2010:378.
- [4]EI-Kady M A,Bell B D,Carvallo VF,et al.Assessment of real-time optimal voltage control[J].IEEE Trans on Power Systems,1986,1(2):98-105.
- [5]Qiu J,Shahidehpour S M.A new approach for minimizing power losses and improving voltage profile[J].IEEE Trans on Power Systems,1987,2(2):287-295.
- [6]张勇军,任震.电力系统动态无功优化调度的调节代价[J].电力系统自动化,2005,29(2):34-38.Zhang Yongjun,Ren Zhen.Readjusting cost of dynamic optimal reactive power dispatch of power systems[J].Automation of Electric Power Systems,2005,29(2):34-38(in Chinese).
- [7]刘明波,朱春明,钱康龄,等.计及控制设备动作次数约束的动态无功优化算法[J].中国电机工程学报,2004,24(3):34-40.Liu Mingbo,Zhu Chunming,Qian Kangling,et al.Dynamic reactive-power optimization algorithm incorporating action number constraints of control devices[J].Proceedings of the CSEE,2004,24(3):34-40(in Chinese).
- [8]Soman S A,Parthasarathy K,Thukaram D.Curtailed number and reduced controller movement optimization algorithms for real time voltage/reactive power control[J].IEEE Trans on Power Systems,1994,9(4):2035-2041.
- [9]Deng Youman,Ren Xiaojuan,Zhao Changcheng,et al.,A heuristic and algorithmic combined approach for reactive power optimization with time-varying load demand in distribution systems[J].IEEE Trans on Power Systems,2002,17(4):1068-1072.
- [10]张勇军,任震,李邦峰.电力系统无功优化调度研究综述[J].电网技术,2005,29(2):50-56.Zhang Yongjun,Ren Zhen,Li Bangfeng.Survey on optimal reactive power dispatch of power systems[J].Power System Technology,2005,29(2):50-56(in Chinese).
- [11]张庭场,耿光飞.基于改进粒子群算法的中压配电网无功优化[J].电网技术,2012,36(2):158-162.Zhang Tingyang,Geng Guangfei.Reactive power optimization for medium voltage distribution network based on improved particle swarm optimization[J].Power System Technology,2012,36(2):158-162(in Chinese).
- [12]李惠玲,盛万兴,孟晓丽.基于改进小生境遗传算法的配电网全网无功优化[J].电网技术,2009,33(4):34-37.Li Huiling,Sheng Wanxing,Meng Xiaoli.General reactive power optimization of whole distribution network based on improved Niche genetic algorithm[J].Power System Technology,2009,33(4):34-37(in Chinese).
- [13]刘科研,盛万兴,李运华.基于改进遗传模拟退火算法的无功优化[J].电网技术,2007,31(3):13-18.Liu Keyan,Sheng Wanxing,Li Yunhua.Research on reactive power optimization based on improved genetic simulated annealing algorithm[J].Power System Technology,2007,31(3):13-18(in Chinese).
- [14]Tinney W F,Bright J M,Demaree K D,et al.Some deficiencies in optimal power flow[J].IEEE Trans on Power Systems,1988,3(2):676-683.
- [15]Papalexopoulos A D,Imparato C F,Wu F F.Large-scale optimal power flow:effects of initialization,decoupling and discretization[J].IEEE Trans on Power Systems,1989,4(2):748-759.
- [16]徐建亭,王秀英,李兴源.电力系统电压无功的序列二次规划算法[J].电力系统自动化,2001,25(23):4-8.Xu Jianting,Wang Xiuying,Li Xingyuan.Successive quadratic programming method for voltage/reactive power optimization in power systems[J].Automation of Electric Power Systems,2001,25(23):4-8(in Chinese).
- [17]张力平,何大愚,朱太秀.牛顿法最优潮流与最优无功补偿[J].中国电机工程学报,1987,7(1):11-15.Zhang Liping,He Dayu,Zhu Taixiu.Optimal power flow and optimal reactive power compensation by Newton’s method[J].Proceedings of the CSEE,1987,7(1):11-15(in Chinese).
- [18]刘明波,李健,吴捷.求解无功优化的非线性同伦内点法[J].中国电机工程学报,2002,22(1):1-7.Liu Mingbo,Li Jian,Wu Jie.Nonlinear homogeneous interior-point method for reactive-power optimization[J].Proceedings of the CSEE,2002,22(1):1-7(in Chinese).
- [19]刘明波,程莹,林声宏.求解无功优化的内点线性和内点非线性规划方法比较[J].电力系统自动化,2002,26(1):22-26.Liu Mingbo,Cheng Ying,Lin Shenghong.Comparative studies of interior-point linear and nonlinear programming algorithms for reactive power optimization[J].Automation of Electric Power Systems,2002,26(1):22-26(in Chinese).
- [20]邱晓燕,张子健,李兴源.基于改进遗传内点算法的电网多目标无功优化[J].电网技术,2009,33(13):27-31.Qiu Xiaoyan,Zhang Zijian,Li Xingyuan.Multi-objective reactive power optimization based on improved genetic-interior point algorithm[J].Power System Technology,2009,33(13):27-31(in Chinese).
- [21]Capitanescu F,Wehenkel L.Sensitivity-based approaches for handling discrete variables in optimal power flow computations[J].IEEE Trans on Power Systems,2010,25(4):1780-1789.
- [22]Yang Huping,Gu Yin,Zhang Yang,et al.Reactive power optimization of power system based on interior point method and branch-bound method[C]//Proc.2009 2nd International Conference Power Electronics and Intelligent Transportation System,2009:5-8.
- [23]Yan Wei,Liu Fang,Chung C Y,et al.A hybrid genetic algorithm-interior point method for optimal reactive power flow[J].IEEE Trans on Power Systems,2006,21(3):1163-1169.
- [24]Bansal R C.Optimization methods for electric power systems:an overview[J].International Journal of Emerging Electric Power Systems,2005,2(1):1553-779X.
- [25]Zhang W,Tolbert L M.Survey of reactive power planning methods[C]//IEEE Power Engineering Society General Meeting,San Francisco,CA,2005:1580-1590.
- [26]李志刚,吴文传,张伯明,等.一种基于高斯罚函数的大规模无功优化离散变量处理方法[J].中国电机工程学报,2013,33(4):68-76.Li Zhigang,Wu Wenchuan,Zhang Boming,et al.A large-scale reactive power optimization method based on Gaussian penalty function with discrete control variables[J].Proceedings of the CSEE,2013,33(4):68-76(in Chinese).
- [27]程杉,陈民铀,黄薏宸.含分布式发电的配电网多目标无功优化策略研究[J].电力系统保护与控制,2013,41(10):45-50.Cheng Shan,Chen Minyou,Huang Yichen.Multi-objective reactive power optimization of distribution system penetrated with distributed generation[J].Power System Protection and Control,2013,41(10):45-50(in Chinese).
- [28]Liu Mingbo,Canizares C A,Huang W.Reactive power and voltage control in distribution system with limited switching operations[J].IEEE Trans on Power Systems,2009,24(2):889-899.
- [29]张勇军,俞悦,任震,等.实时环境下动态无功优化建模研究[J].电网技术,2004,28(12):12-15.Zhang Yongjun,Yu Yue,Ren Zhen,et al.Research on dynamic modeling for reactive power optimization under real-time circumstance[J].Power System Technology,2004,28(12):12-15(in Chinese).
- [30]刘公博,颜文涛,张文斌,等.含分布式电源的配电网动态无功优化调度方法[J].电力系统自动化,2015,39(15):49-54.Liu Gongbo,Yan Wentao,Zhang Wenbin,et al.Optimization and dispatching method of dynamic reactive power in distribution network with distributed generators[J].Automation of Electric Power Systems,2015,39(15):49-54(in Chinese).
- [31]丁涛,郭庆来,柏瑞,等.松弛MPEC和MIQP的启发–校正两阶段动态无功优化算法[J].中国电机工程学报,2014,34(13):2100-2107.Ding Tao,Guo Qinglai,Bai Rui,et al.Two-stage heuristic-correction for dynamic reactive power optimization based on relaxation-MPEC and MIQP[J].Proceedings of the CSEE,2014,34(13):2100-2107(in Chinese).
- [32]方兴,郭志忠.配电网时变无功电压优化方法[J].电力系统自动化,2005,29(9):40-44.Fang Xing,Guo Zhizhong.Optimal Time-varying reactive power and voltage control in distribution systems[J].Automation of Electric Power Systems,2005,29(9):40-44(in Chinese).