基于改进模糊C均值聚类时段划分的配电网动态重构
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摘要
随着大量光伏和风电等间歇性电源接入配电网,传统的静态重构方案不再适用于动态变化下的网络。在此背景下,提出了一种基于改进模糊均值聚类的动态重构策略。首先依据分布式电源(distributedgenerator,DG)和负荷的时变性建立确定性等值负荷预测曲线,通过改进的模糊C均值聚类算法进行时段划分,并且利用损失函数确定最优时段划分方案。其次采用区间数描述DG和负荷预测的不确定性并建立以网损区间值最低为目标函数的动态重构模型,并引入仿射泰勒扩展的潮流计算法求解区间潮流方程。最后采用基于回路搜索的十进制粒子群算法对重构模型进行求解,实现不确定因素下的配电网动态重构。通过IEEE33节点系统仿真验证了所提方法的有效性和优越性。
With increasing intermittent power sources, such as photovoltaic and wind power, connected to distribution network, traditional static reconfiguration scheme is no longer suitable for dynamic network. In this context, a dynamic reconfiguration scheme based on improved fuzzy C-means clustering is proposed in this paper. Firstly, the deterministic equivalent load forecasting curve based on the time-varying property of DG and load is divided into segments using the improved fuzzy C-means clustering algorithm. And the loss function is applied to determine optimal time division scheme. Secondly, the interval value describing the uncertainty of DG and load forecasting is adopted to establish a dynamic reconfiguration model with minimum network loss. Then the power flow method based on affine Taylor expansion is used to solve the interval power flow equation. Finally, the reconfiguration model is solved with decimal particle swarm optimization algorithm based on loop search. The simulation analysis of IEEE33 distribution system shows that the proposed method is effective and superior.
With increasing intermittent power sources, such as photovoltaic and wind power, connected to distribution network, traditional static reconfiguration scheme is no longer suitable for dynamic network. In this context, a dynamic reconfiguration scheme based on improved fuzzy C-means clustering is proposed in this paper. Firstly, the deterministic equivalent load forecasting curve based on the time-varying property of DG and load is divided into segments using the improved fuzzy C-means clustering algorithm. And the loss function is applied to determine optimal time division scheme. Secondly, the interval value describing the uncertainty of DG and load forecasting is adopted to establish a dynamic reconfiguration model with minimum network loss. Then the power flow method based on affine Taylor expansion is used to solve the interval power flow equation. Finally, the reconfiguration model is solved with decimal particle swarm optimization algorithm based on loop search. The simulation analysis of IEEE33 distribution system shows that the proposed method is effective and superior.
引文
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[14]彭寒梅,昌玲,郭颖聪,等.主从控制微电网的动态区间潮流计算[J].电网技术,2018,42(1):195-202.Peng Hanmei,Chang Lin,Guo Yincong,et al.Dynamic interval power flow calculation of microgrid under master-slave control[J].Power System Technology,2018,42(1):195-202(in Chinese).
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[16]麻秀范,张粒子.基于十进制编码的配网重构遗传算法[J].电工技术学报,2004,19(10):65-69.Ma Xifan,Zhang Lizi.Distribution network reconfiguration based on genetic algorithm using decimal encoding[J].Transactions of China Electrotechnical Society,2004,19(10):65-69(in Chinese).
[17]李扬,韦钢,李功新,等.含DG的主动配电网供电路径优化的研究[J].中国电机工程学报,2018,38(7):1971-1979.Li Yang,Wei Gang,Li Gongxin,et al.Research on optimization of power supply route of active distribution network[J].Proceedings of the CSEE,2018,38(7):1971-1979(in Chinese).
[18]赵静翔,牛焕娜,王钰竹.基于信息熵时段划分的主动配电网动态重构[J].电网技术,2017,41(2):402-408.Zhao Jinxiang,Niu Huanna,Wang Yuzhu.Dynamic reconfiguration of active distribution network based on information entropy of time intervals[J].Power System Technology,2017,41(2):402-408(in Chinese).
[19]易海川,张彼德,王海颖,等.提高DG接纳能力的配电网动态重构方法[J].电网技术,2016,40(5):1431-1436.Yi Haichuan,Zhang Bide,Wang Haiying,et al.Distribution network dynamic reconfiguration method for improving distribution network's ability of accepting DG[J].Power System Technology,2016,40(5):1431-1436(in Chinese).
[2]Lei S,Hou Y,Qiu F,et al.Identification of critical switches for integrating renewable distributed generation by dynamic network reconfiguration[J].IEEE Transactions on Sustainable Energy,2017,PP(99):1-1.
[3]Rahmani-Andebili M.Dynamic and adaptive reconfiguration of electrical distribution system including renewables applying stochastic model predictive control[J].IET Generation Transmission&Distribution,2017,11(16):3912-3921.
[4]D Shariatkhah M H,Haghifam M R,Salehi J,et al.Duration based reconfiguration of electric distribution networks using dynamic programming and harmony search algorithm[J].International Journal of Electrical Power&Energy Systems,2012,41(1):1-10.
[5]高山山,秦文萍,韩肖清,等.计及负荷时变性及分布式电源出力波动性的配电网两级实时重构[J].电网技术,2014,38(11):3260-3265.Gao Shanshan,Qin Wenping,Han Xiaoqing,et al.Two-stage real-time reconfiguration of distribution network considering time-variance of load and output fluctuation of network-connected distributed generation[J].Power System Technology,2014,38(11):3260-3265(in Chinese).
[6]江东林,刘天琪,李樊.采用时段动态划分和分层优化策略的配电网重构[J].电网技术,2012,36(2):153-157.Jiang Donglin,Liu Tianqi,Li Fan.Dynamic distribution network reconfiguration based on dynamic partition of time intervals and hierarchical optimization[J].Power System Technology,2012,36(2):153-157(in Chinese).
[7]陈禹,唐巍,陈昕玥,等.基于负荷-光伏等效负荷曲线动态分段的配电线路联络开关优化配置[J].电力自动化设备,2015,35(3):47-53.Chen Yu,Tang Wei,Chen Xinyue,et al.Tie switch allocation optimization based on dynamic segment of equivalent load-PV curve[J].Electric Power Automation Equipment,2015,35(3):47-53(in Chinese).
[8]王淳,高元海.采用最优模糊C均值聚类和改进化学反应算法的配电网络动态重构[J].中国电机工程学报,2014,34(10):1682-1691.Wang Chun,Gao Yuanhao.Dynamic reconfiguration of distribution network based on optimal fuzzy C-means clustering and improved chemical reaction optimization[J].Proceedings of the CSEE,2014,34(10):1682-1691(in Chinese).
[9]李扬,韦钢,马钰,等.含电动汽车和分布式电源的主动配电网动态重构[J].电力系统自动化,2018,42(5):102-110.Li Yang,Wei Gang,Ma Yu,et al.Dynamic reconfiguration of active distribution network considering electric vehicles and distributed generations[J].Automation of Electric Power Systems,2018,42(5):102-110(in Chinese).
[10]丁涛,崔翰韬,顾伟,等.基于区间和仿射运算的不确定潮流算法[J].电力系统自动化,2012,36(13):51-55,115.Ding Tao,Cui Hantao,Gu Wei,et al.An uncertainty power flow algorithm based on interval and affine arithmetic[J].Automation of Electric Power Systems,2012,36(13):51-55,115(in Chinese).
[11]Ding T,Li F,Li X,et al.Interval radial power flow using extended DistFlow formulation and Krawczyk iteration method with sparse approximate inverse preconditioner[J].IET Generation Transmission&Distribution,2015,9(14):1998-2006.
[12]韩亮,王守相.含光伏风电的基于仿射算法的配电三相潮流计算[J].电网技术,2013,37(12):3413-3418.Han Liang,Wang Shouxiang.Affine algorithm based calculation of three-phase power flow in distribution network connected with PVgeneration and wind generation[J].Power System Technology,2013,37(12):3413-3418(in Chinese).
[13]李培强,李欣然,陈辉华,等.基于模糊聚类的电力负荷特性的分类与综合[J].中国电机工程学报,2005,25(24):73-78.Li Peiqiang,Li Xinran,Chen Huihua,et al.Characteristics classification and synthesis of power load based on fuzzy clustering[J].Proceedings of the CSEE,2005,25(24):73-78(in Chinese).
[14]彭寒梅,昌玲,郭颖聪,等.主从控制微电网的动态区间潮流计算[J].电网技术,2018,42(1):195-202.Peng Hanmei,Chang Lin,Guo Yincong,et al.Dynamic interval power flow calculation of microgrid under master-slave control[J].Power System Technology,2018,42(1):195-202(in Chinese).
[15]Kennedy J,Eberhart R.Particle swarm optimizer[C]//Proceedings of IEEE International Conference on Neural Networks,Perth:IEEE,1995:1942-1948.
[16]麻秀范,张粒子.基于十进制编码的配网重构遗传算法[J].电工技术学报,2004,19(10):65-69.Ma Xifan,Zhang Lizi.Distribution network reconfiguration based on genetic algorithm using decimal encoding[J].Transactions of China Electrotechnical Society,2004,19(10):65-69(in Chinese).
[17]李扬,韦钢,李功新,等.含DG的主动配电网供电路径优化的研究[J].中国电机工程学报,2018,38(7):1971-1979.Li Yang,Wei Gang,Li Gongxin,et al.Research on optimization of power supply route of active distribution network[J].Proceedings of the CSEE,2018,38(7):1971-1979(in Chinese).
[18]赵静翔,牛焕娜,王钰竹.基于信息熵时段划分的主动配电网动态重构[J].电网技术,2017,41(2):402-408.Zhao Jinxiang,Niu Huanna,Wang Yuzhu.Dynamic reconfiguration of active distribution network based on information entropy of time intervals[J].Power System Technology,2017,41(2):402-408(in Chinese).
[19]易海川,张彼德,王海颖,等.提高DG接纳能力的配电网动态重构方法[J].电网技术,2016,40(5):1431-1436.Yi Haichuan,Zhang Bide,Wang Haiying,et al.Distribution network dynamic reconfiguration method for improving distribution network's ability of accepting DG[J].Power System Technology,2016,40(5):1431-1436(in Chinese).