考虑同调机组的电力系统主动解列断面搜索方法
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摘要
将电力系统解列断面搜索问题转化为单目标多约束优化问题,提出了一种考虑同调机组的解列断面搜索新方法。节点间电抗值的大小反映了其电气连接强弱程度。首先以节点间线路电抗值为线路权值,利用Dijkstra算法计算同调机群中发电机之间最小电抗连接线路,得到同调机组连通图,之后用prim算法得到同调机组连通图的最小生成树,并将其等值为一个节点,从而保证电力孤岛内机组连通性。最后利用Dinic算法求得非同调机群间最小潮流割集,得到最优解列断面。对经典IEEE-39节点系统进行算例仿真,验证了文中所提出方法能够快速准确定位解列断面。
The search of power system controlled splitting section problem is transformed into a single-objective multi-constraint optimization problem,and a new searching method for power system controlled splitting sections considering coherent generators is proposed in this paper. The magnitude of the reactance between nodes reflects the electrical contact degree of the two nodes,and the reactance value between the nodes is used as the line weight. The Dijkstra algorithm is used to calculate the minimum reactance value between the generators in the coherent generators group and get the connection diagram of coherent generators. The prim algorithm is used to get the minimum spanning tree of the coherent generators connection diagram and the minimum spanning tree is equaled as a node,thus ensuring the connectivity of the generators in the island. The Dinic algorithm is used to obtain the minimum power flow cut-set between non-coherent generators groups,and the optimal solution of power system controlled spitting surfaces is obtained. The simulation of the IEEE-39 node system verify that this method can determine the position of islanding surfaces quickly and accurately.
The search of power system controlled splitting section problem is transformed into a single-objective multi-constraint optimization problem,and a new searching method for power system controlled splitting sections considering coherent generators is proposed in this paper. The magnitude of the reactance between nodes reflects the electrical contact degree of the two nodes,and the reactance value between the nodes is used as the line weight. The Dijkstra algorithm is used to calculate the minimum reactance value between the generators in the coherent generators group and get the connection diagram of coherent generators. The prim algorithm is used to get the minimum spanning tree of the coherent generators connection diagram and the minimum spanning tree is equaled as a node,thus ensuring the connectivity of the generators in the island. The Dinic algorithm is used to obtain the minimum power flow cut-set between non-coherent generators groups,and the optimal solution of power system controlled spitting surfaces is obtained. The simulation of the IEEE-39 node system verify that this method can determine the position of islanding surfaces quickly and accurately.
引文
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[15]王乙斐,唐飞,刘涤尘,等.基于Dijkstra算法的最优解列断面快速搜索方法[J].电力自动化设备,2015,35(4):126-131.Wang Yifei,Tang Fei,Liu Dichen,et al.Quick search of optimal splitting surface based on Dijkstra algorithm[J].Electric Power Automation Equipment,2015,35(4):126-131.
[16]董晓峰,陆于平.基于改进Prim算法的分布式发电孤岛划分方法[J].电网技术,2010,(9):195-201.Dong Xiaofeng,Lu Yuping.Islanding algorithm for distributed generators based on improved prim algorithm[J].Power System Technology,2010,34(9):195-201.
[17]王振浩,张明泽,杜虹锦,等.考虑柔性直流落点约束的最优主动解列断面搜索算法[J].电工技术学报,2017,32(17):57-66.Wang Zhenhao,Zhang Mingze,Du Hongjin,et al.A Searching Algorithm for Optimal Controlled Islanding Surfaces Corsidering VSC-HVDC Terminal Constraint[J].Transactions of China Electrotechnical Society,2017,32(17):57-66.
[18]杨健,唐飞,廖清芬,等.基于半监督谱聚类的最优主动解列断面搜索[J].电网技术,2015,39(1):242-249.Yang Jian,Tang Fei,Liao Qingfen,et al.An Optimal Controlled Partitioning Scheme Based on Semi-Supervised Spectral Clustering Algorithm[J].Power System Technology,2015,39(1):242-249.
[19]林济铿,李胜文,吴鹏,等.电力系统最优主动解列断面搜索模型及算法[J].中国电机工程学报,2012,32(13):86-94.Lin,Jikeng,Li Shengwen,Wu Peng,et al.Model and Algorithm for the Optimal Controlled Partitioning of Power Systems[J].Proceedings of the Csee,2012,32(13):86-94.
[20]唐飞,贾骏,刘涤尘,等.一种考虑发电机同调分群的大电网快速主动解列策略[J].电工技术学报,2016,31(17):32-40.Tang Fei,Jia Jun,Liu Dichen,et al.A Fast Active Islanding Scheme Considering Generators'Coherent Partition[J].Transactions of China Electrotechnical Society,2016,31(17):32-40.
[21]Kundur P.Power system stability and control[M].北京:中国电力出版社,2001:699-822.
[2]沈沉,吴佳耘,乔颖,等.电力系统主动解列控制方法的研究[J].中国电机工程学报,2006,26(13):1-6.Shen Chen,Wu Jiayun,Qiao Ying,et al.Studies on Active Splitting Control of Power Systems[J].Proceedings of the CSEE,2006,26(13):1-6.
[3]曹一家,陈彦如,曹丽华,等.复杂系统理论在电力系统中的应用研究展望[J].中国电机工程学报,2012,32(19):1-9.Cao Yijia,Chen Yanru,Cao Lihua,et al.Prospects of Studies on Application of Complex System Theory in Power Systems[J].Proceedings of the CSEE,2012,32(19):1-9.
[4]宋洪磊,吴俊勇.基于广域量测信息的电力系统主动解列控制研究综述[J].电网技术,2013,37(12):3467-3474.Song Honglei,Wu Junyong.A Summarization of Research on Wide-Area Measurement Information Based Power System Controlled Islanding[J].Power System Technology,2013,37(12):3467-3474.
[5]丁磊,郭一忱,陈青,等.电力系统主动解列的可行解列时窗研究[J].电工技术学报,2015,30(12):415-421.Ding Lei,Guo Yichen,Chen Qing,et al.Research on feasible splitting time interval of controlled islanding[J].Transactions of China Electrotechnical Society,2015,30(12):415-421.
[6]廖清芬,王乙斐,唐飞,等.大电网互联格局下的解列断面双阶段搜索方法[J].高电压技术,2015,41(3):739-746.Liao Qingfen,Wang Yifei,Tang Fei,et al.Dual-stage method for islanding surface searching under interconnected power system[J].High Voltage Engineering,2015,41(3):739-746.
[7]夏成军,陈翠琼,涂亮,等.基于最大流最小截集定理的解列断面搜索方法[J].电网技术,2015,39(12):3485-3490.Xia Chengjun,Chen Cuiqiong,Tu Liang,et al.A Searching Method for Power System Controlled Islanding Surfaces Based on Maximum Flow-Minimum Cut Theorem[J].Power System Technology,2015,39(12):3485-3490.
[8]王乙斐,刘涤尘,廖清芬.基于“搜索+优化”的主动解列断面选择方法[J].电力自动化设备,2015,35(8):53-58.Wang Yifei,Liu Dichen,Liao Qingfen.Islanding surface selection based on"searching+optimization"[J].Electric Power Automation Equipment,2015,35(8):53-58.
[9]王乙斐,唐飞,廖清芬,等.带连通性约束的蚁群优化算法主动解列断面求解策略[J].电力系统及其自动化学报,2016,28(9):56-62.Wang Yifei,Tang Fei,Liao Qingfen,et al.Controlled Splitting Surface Searching Strategy Based on Ant Colony Optimization Algorithm Under Connectivity Constraints[J].Proceedings of the CSU-EPSA,2016,28(9):56-62.
[10]吴学娟,沈沉,向学军,等.主动解列策略求解过程中的网络化简[J].中国电机工程学报,2008,28(7):7-12.Wu Xuejuan,Shen Chen,Xiang Xuejun,et al.Network Simplification for Active Splitting Strategy Searching[J].Proceedings of the CSEE,2008,28(7):7-12.
[11]徐劭翔,苗世洪,李超.基于改进递归融合算法的电力系统主动解列断面搜索方法[J].电工技术学报,2016,31(15):117-124.Xu Shaoxiang,Miao Shihong,Li Chao.A Searching Method for Power System Controlled Islanding Surface Based on Improved Recursive Merge Algorithm[J].Transactions of China Electrotechnical Society,2016,31(15):117-124.
[12]Shen Chen,Wu Xuejuan,Wu Jiayun,et al.An efficient method of network simplification for islanding control studies of power systems[C]//International Conference on Power System Technology,Chongqing,China,2006.
[13]乔颖,沈沉,卢强.大电网解列决策空间筛选及快速搜索方法[J].中国电机工程学报,2008,28(22):23-28.Qiao Ying,Shen Chen,Lu Qiang.Islanding Decision Space Minimization and Quick Search in Case of Large-scale Grids[J].Proceedings of the CSEE,2008,28(22):23-28.
[14]宋洪磊,吴俊勇,郝亮亮.考虑同调约束的电力系统主动解列断面的搜索方法[J].电力系统自动化,2014,38(14):49-54.Song Honglei,Wu Junyong,Hao Liangliang.A Searching Method for Power System Controlled Islanding Surfaces Considering Coherency Constraint[J].Automation of Electric Power Systems,2014,38(14):49-54.
[15]王乙斐,唐飞,刘涤尘,等.基于Dijkstra算法的最优解列断面快速搜索方法[J].电力自动化设备,2015,35(4):126-131.Wang Yifei,Tang Fei,Liu Dichen,et al.Quick search of optimal splitting surface based on Dijkstra algorithm[J].Electric Power Automation Equipment,2015,35(4):126-131.
[16]董晓峰,陆于平.基于改进Prim算法的分布式发电孤岛划分方法[J].电网技术,2010,(9):195-201.Dong Xiaofeng,Lu Yuping.Islanding algorithm for distributed generators based on improved prim algorithm[J].Power System Technology,2010,34(9):195-201.
[17]王振浩,张明泽,杜虹锦,等.考虑柔性直流落点约束的最优主动解列断面搜索算法[J].电工技术学报,2017,32(17):57-66.Wang Zhenhao,Zhang Mingze,Du Hongjin,et al.A Searching Algorithm for Optimal Controlled Islanding Surfaces Corsidering VSC-HVDC Terminal Constraint[J].Transactions of China Electrotechnical Society,2017,32(17):57-66.
[18]杨健,唐飞,廖清芬,等.基于半监督谱聚类的最优主动解列断面搜索[J].电网技术,2015,39(1):242-249.Yang Jian,Tang Fei,Liao Qingfen,et al.An Optimal Controlled Partitioning Scheme Based on Semi-Supervised Spectral Clustering Algorithm[J].Power System Technology,2015,39(1):242-249.
[19]林济铿,李胜文,吴鹏,等.电力系统最优主动解列断面搜索模型及算法[J].中国电机工程学报,2012,32(13):86-94.Lin,Jikeng,Li Shengwen,Wu Peng,et al.Model and Algorithm for the Optimal Controlled Partitioning of Power Systems[J].Proceedings of the Csee,2012,32(13):86-94.
[20]唐飞,贾骏,刘涤尘,等.一种考虑发电机同调分群的大电网快速主动解列策略[J].电工技术学报,2016,31(17):32-40.Tang Fei,Jia Jun,Liu Dichen,et al.A Fast Active Islanding Scheme Considering Generators'Coherent Partition[J].Transactions of China Electrotechnical Society,2016,31(17):32-40.
[21]Kundur P.Power system stability and control[M].北京:中国电力出版社,2001:699-822.