基于无向图的含分布式电源配电网优化重构研究
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摘要
针对配电网"闭环设计、开环运行"的结构特点,采用无向图描述配电网的辐射状结构约束。含分布式电源配电网优化重构前后节点的带电状态不变,定义了"虚拟需求"的概念来保证带电节点与某一变电站电源节点的连通性,再加上闭合支路数等于节点总数减变电站电源节点数的数量关系约束,即保证了配电网呈辐射状结构。建立了以降低有功功率损耗为目标的配电网优化重构模型,采用数学规划方法进行求解,PG&E 69节点配电系统的测试结果验证了该模型的有效性。
Considering the‘closed-loop design and open-loop operation'structural characteristic of the distribution network,undirected graph was used to describe its radial structure constraint.For the optimization reconfiguration of distribution network with distributed generation,the charge states of nodes should be consistent before and after reconfiguration.Thus,the virtual demand was defined to ensure that charged nodes were connected to a certain substation power source node.Coupled with the quantitative relation constraint,namely,the number of closed branches equaled the total number of nodes minus the number of source nodes of substation power; and the radial structure of distribution network could be ensured.The mathematical model for optimization reconfiguration was established with the aim of active power loss reduction and was solved through mathematical programming method.Test results of PG&E 69-bus distribution system verified the effectivity of this model.
Considering the‘closed-loop design and open-loop operation'structural characteristic of the distribution network,undirected graph was used to describe its radial structure constraint.For the optimization reconfiguration of distribution network with distributed generation,the charge states of nodes should be consistent before and after reconfiguration.Thus,the virtual demand was defined to ensure that charged nodes were connected to a certain substation power source node.Coupled with the quantitative relation constraint,namely,the number of closed branches equaled the total number of nodes minus the number of source nodes of substation power; and the radial structure of distribution network could be ensured.The mathematical model for optimization reconfiguration was established with the aim of active power loss reduction and was solved through mathematical programming method.Test results of PG&E 69-bus distribution system verified the effectivity of this model.
引文
[1]崔金兰,刘天琪,李兴源.含有分布式发电的配电网重构研究[J].电力系统保护与控制,2008,36(15):37-40.
[2]王佳佳,吕林,刘俊勇,等.基于改进分层前推回代法的含分布发电单元的配电网重构[J].电网技术,2010,34(9):60-64.
[3]RAO R S,NARASIMHAM S V L,RAJU M R.Optimal network reconfiguration of large-scale distribution system using harmony search algorithm[J].IEEE Transactions on Power Systems,2011,26(3):1080-1088.
[4]WU Y K,LEE C Y,LIU L C.Study of reconfiguration for the distribution system with distributed generators[J].IEEE Transactions on Power Delivery,2010,25(3):1678-1685.
[5]KHODR H M,MARTINEZ-CRESPO J,MATOS M A.Distribution systems reconfiguration based on OPF using Benders decomposition[J].IEEE Transactions on Power Delivery,2009,24(4):2166-2176.
[6]张焰,陈章潮,吴思谋.提高供电可靠性的配电网重构[J].电工电能新技术,1997(2):15-18.
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[12]邓佑满,张伯明.配电网络重构的改进最优流模式算法[J].电网技术,1995,19(7):47-50.
[13]李振坤,陈星莺,余昆,等.配电网重构的混合粒子群算法[J].中国电机工程学报,2008,28(31):35-41.
[14]张凡,张越喜,顾沈卉.基于模拟退火免疫算法的配电网重构[J].南方电网技术,2011,5(5):42-46.
[15]ELDURSSI A M,O'CONNELL R M.A fast nondominated sorting guided genetic algorithm for multi-objective power distribution system reconfiguration problem[J].IEEE Transactions on Power Systems,2015,30(2):593-601.
[16]姚李孝,任艳楠,费健安.基于蚁群算法的配电网网络重构[J].电力系统及其自动化学报,2007,19(6):35-39.
[17]HONG H,HU Z,GUO R.Directed graph-based distribution network reconfiguration for operation mode adjustment and service restoration considering distributed generation[J].Journal of Modern Power Systems and Clean Energy,2017,5(1):142-149.
[18]胡运权,郭耀煌.运筹学教程(第三版)[M].北京:清华大学出版社,2007:233-265.
[19]BARAN M E,WU F F.Optimal capacitor placement on radial distribution systems[J].IEEE Transactions on power Delivery,1989,4(1):725-734.
[20]毕鹏翔,刘健,张文元.配电网络重构的改进支路交换法[J].中国电机工程学报,2001,21(8):98-103.
[21]蒙文川,邱家驹.基于免疫算法的配电网重构[J].中国电机工程学报,2006,26(17):25-29.
[22]RUGTHAICHAROENCHEEP N,SIRISUMRANNUKUL S.Optimal feeder reconfiguration with distributed generators in distribution system by fuzzy multiobjective and tabu search[C]//Sustainable Power Generation and Supply,2009.SUPERGEN'09.International Conference on.IEEE,2009:1-7.
[2]王佳佳,吕林,刘俊勇,等.基于改进分层前推回代法的含分布发电单元的配电网重构[J].电网技术,2010,34(9):60-64.
[3]RAO R S,NARASIMHAM S V L,RAJU M R.Optimal network reconfiguration of large-scale distribution system using harmony search algorithm[J].IEEE Transactions on Power Systems,2011,26(3):1080-1088.
[4]WU Y K,LEE C Y,LIU L C.Study of reconfiguration for the distribution system with distributed generators[J].IEEE Transactions on Power Delivery,2010,25(3):1678-1685.
[5]KHODR H M,MARTINEZ-CRESPO J,MATOS M A.Distribution systems reconfiguration based on OPF using Benders decomposition[J].IEEE Transactions on Power Delivery,2009,24(4):2166-2176.
[6]张焰,陈章潮,吴思谋.提高供电可靠性的配电网重构[J].电工电能新技术,1997(2):15-18.
[7]尹小根,何俊佳,白照东.考虑供电可靠性的配电网络重构[J].华中科技大学学报:自然科学版,2003,31(1):86-88.
[8]MERLIN A,BACK H.Search for a minimal-loss operating spanning tree configuration in an urban power distribution system[C]//Proc 5th Power System Computation Conf,Cambridge,1975:1-18.
[9]余贻鑫,段刚.基于最短路算法和遗传算法的配电网络重构[J].中国电机工程学报,2000,20(9):44-49.
[10]CIVANLAR S,GRAINGER J J,YIN H.Distribution feeder reconfiguration for loss reduction[J].IEEE Transactions on Power Delivery,1988,3(3):1217-1223.
[11]戴光武,都洪基,贾磊,等.基于支路交换法的配电网重构研究[C]//山东:2008中国电力系统保护与控制学术研讨会,2008.
[12]邓佑满,张伯明.配电网络重构的改进最优流模式算法[J].电网技术,1995,19(7):47-50.
[13]李振坤,陈星莺,余昆,等.配电网重构的混合粒子群算法[J].中国电机工程学报,2008,28(31):35-41.
[14]张凡,张越喜,顾沈卉.基于模拟退火免疫算法的配电网重构[J].南方电网技术,2011,5(5):42-46.
[15]ELDURSSI A M,O'CONNELL R M.A fast nondominated sorting guided genetic algorithm for multi-objective power distribution system reconfiguration problem[J].IEEE Transactions on Power Systems,2015,30(2):593-601.
[16]姚李孝,任艳楠,费健安.基于蚁群算法的配电网网络重构[J].电力系统及其自动化学报,2007,19(6):35-39.
[17]HONG H,HU Z,GUO R.Directed graph-based distribution network reconfiguration for operation mode adjustment and service restoration considering distributed generation[J].Journal of Modern Power Systems and Clean Energy,2017,5(1):142-149.
[18]胡运权,郭耀煌.运筹学教程(第三版)[M].北京:清华大学出版社,2007:233-265.
[19]BARAN M E,WU F F.Optimal capacitor placement on radial distribution systems[J].IEEE Transactions on power Delivery,1989,4(1):725-734.
[20]毕鹏翔,刘健,张文元.配电网络重构的改进支路交换法[J].中国电机工程学报,2001,21(8):98-103.
[21]蒙文川,邱家驹.基于免疫算法的配电网重构[J].中国电机工程学报,2006,26(17):25-29.
[22]RUGTHAICHAROENCHEEP N,SIRISUMRANNUKUL S.Optimal feeder reconfiguration with distributed generators in distribution system by fuzzy multiobjective and tabu search[C]//Sustainable Power Generation and Supply,2009.SUPERGEN'09.International Conference on.IEEE,2009:1-7.