求解含小阻抗支路配电网潮流的牛顿法Newton Method for Solving Power Flow of Distribution Networks with Small Impedance Branches
初壮,于群英,李笑薇
摘要(Abstract):
基于节点导纳矩阵的雅可比矩阵为病态,是采用牛顿法求解含合环支路等小阻抗支路的配电网潮流不易收敛的主要原因。文中以等效负荷支路、合环支路分别为连支建立两类基本回路,潮流方程基于回路电流-负荷节点电压方程建立,合环支路参数不会作为回路矩阵的独立元素存在;采用牛顿法求解时,基于回路导纳矩阵建立良态的雅可比矩阵,使计算收敛性得到保证。多个算例验证了该方法在计算含合环支路和PV节点配电网潮流时的正确性和有效性。
关键词(KeyWords): 配电网潮流计算;收敛性;回路分析;牛顿法;小阻抗支路
基金项目(Foundation): 国家高技术研究发展计划(863计划)资助项目(2014AA052502)
作者(Author): 初壮,于群英,李笑薇
参考文献(References):
- [1]王成山,李琰,彭克(Wang Chengshan,Li Yan,Peng Ke).分布式电源并网逆变器典型控制方法综述(Overviewof typical control methods for grid-connected inverters ofdistributed generation)[J].电力系统及其自动化学报(Proceedings of the CSU-EPSA),2012,24(2):12-20.
- [2]王进,刘娇,陈加飞,等(Wang Jin,Liu Jiao,Chen Jiafei,et al).计及风电不确定性的配电网无功模糊优化(Re-search on reactive power fuzzy optimization of distributionnetwork with wind turbines)[J].电力系统及其自动化学报(Proceedings of the CSU-EPSA),2015,27(6):8-13.
- [3]王建勋,吕群芳,刘会金,等(Wang Jianxun,Lyu Qun-fang,Liu Huijin,et al).含分布式电源的配电网潮流快速直接算法(Fast and direct power flow algorithm for dis-tribution network with distributed generation)[J].电力自动化设备(Electric Power Automation Equipment),2011,31(2):17-21.
- [4]付英杰,汪沨,陈春,等(Fu Yingjie,Wang Feng,ChenChun,et al).考虑分布式电源的配电网电压控制新方法(New method of voltage control considering distribu-tion network containing distributed generation)[J].电力系统及其自动化学报(Proceedings of the CSU-EPSA),2015,27(6):26-31.
- [5]朱星阳,张建华,刘文霞,等(Zhu Xingyang,Zhang Jian-hua,Liu Wenxia,et al).考虑负荷电压静特性的含分布式电源的配电网潮流计算(Power flow calculation of dis-tribution system with distributed generation consideringstatic load characteristics)[J].电网技术(Power SystemTechnology),2012,36(2):217-223.
- [6]丁明,郭学凤(Ding Ming,Guo Xuefeng).含多种分布式电源的弱环配电网三相潮流计算(Three-phase powerflow for the weakly meshed distribution network with thedistributed generation)[J].中国电机工程学报(Proceed-ings of the CSEE),2009,29(13):35-40.
- [7]Chang Gary,Chu Shou-Yung,Hsu Ming-Fong,et al.An ef-ficient power flow algorithm for weakly meshed distribu-tion systems[J].Electric Power Systems Research,2012,84(1):90-99.
- [8]车仁飞,李仁俊(Che Renfei,Li Renjun).一种少环配电网三相潮流计算新方法(A new three-phase power flowmethod for weakly meshed distribution systems)[J].中国电机工程学报(Proceedings of the CSEE),2003,23(1):74-79.
- [9]Goswami S K,Basu S K.Direct solution of distribution sys-tems[J].IEEE Proceedings C,1991,138(1):78-88.
- [10]Tylavsky D J,Crouch P E,Jarriel L F,et al.The effects ofprecision and small impedance branches on power flow ro-bustness[J].IEEE Trans on Power Systems,1994,9(1):6-14.
- [11]姚玉斌,鲁宝春,陈学允(Yao Yubin,Lu Baochun,ChenXueyun).小阻抗支路对牛顿法潮流的影响及其处理方法(A method to deal with the effect of small impedancebranches to prevent divergence in Newton-Raphson loadflow)[J].电网技术(Power System Technology),1999,23(9):27-31.
- [12]胡博(Hu Bo).大规模复杂电力系统并行潮流计算和并行可靠性跟踪研究(Parallel Algorithms of Power Flowand Unreliability Tracing for Large-Scale Complex PowerSystems)[D].重庆:重庆大学电气工程学院(Chongqing:School of Electrical Engineering of Chongqing Universi-ty),2010.
- [13]薛毅.数值分析与科学计算[M].北京:科学出版社,2011.
- [14]周硕,郭丽杰,吴柏生(Zhou Shuo,Guo Lijie,Wu Baish-eng).Jacobi迭代预处理中的条件数与迭代次数的关系(Relation between condition number and iteration de-grees in Jacobi iteration pretreatment)[J].东北电力学院学报(Journal of Northeast China Institute of Electric Pow-er Engineering),2003,23(6):57-60.
- [15]王守相,王成山.现代配电系统分析[M].北京:高等教育出版社,2007.