基于PMU的配电网潮流雅可比矩阵鲁棒估计与拓扑辨识  

Robust Method for Power Flow Jacobian Matrix Estimation and Topology Identification of Distribution Network Based on PMU

作　　者：郭屾 王鹏 栾文鹏 戚艳[2] 么军[2] 宿洪智 GUO Shen;WANG Peng;LUAN Wenpeng;QI Yan;YAO Jun;SU Hongzhi(China Electric Power Research Institute,Beijing 100085,China;State Grid Tianjin Electric Power Company,Tianjin 300010,China;Key Laboratory of Smart Grid of Ministry of Education(Tianjin University),Tianjin 300072,China)

机构地区：[1]中国电力科学研究院有限公司,北京100085 [2]国网天津市电力公司,天津300010 [3]智能电网教育部重点实验室(天津大学),天津300072

出　　处：《电力系统及其自动化学报》2018年第10期68-76,共9页Proceedings of the CSU-EPSA

基　　金：国家电网公司科技项目"城市配电网量测体系优化配置与关键特征参数辨识技术研究及示范"资助项目(SGTJDK00DWJS1700030)

摘　　要：通过量测数据实现潮流雅可比矩阵的估计计算,进而辨识配电网的运行拓扑,能够有效避免由于线路参数不准确等问题造成的误差。提出了基于同步相量量测单元PMU的配电网潮流雅可比矩阵鲁棒估计与拓扑辨识方法。首先,在估计雅可比矩阵时考虑了矩阵的稀疏性,并利用估计问题中传感矩阵各列的相关性,对现有的稀疏恢复算法进行改进;进一步引入了更具鲁棒性的最大化相关熵方法;最后,在估计时利用了雅可比矩阵的特殊性,有效提高了算法的计算效率和鲁棒性,提升了雅可比矩阵估计和拓扑辨识的成功率。通过在IEEE 33节点配电系统上的算例分析证明了所提出算法的正确性和有效性。The estimation of power flow Jacobian matrix is realized using measurement data,thus the operation topology of distribution network can be further identified.In this way,the errors caused by the inaccuracy of line parameters can be effectively avoided.In this paper,a robust method for power flow Jacobian matrix estimation and topology identification of distribution network is proposed based on phasor measurement unit(PMU).First,the sparsity of matrix is considered when estimating the Jacobian matrix,and the coherence of the sensing matrix’columns in the estimation problem is used to improve the existing sparse recovery algorithm.Then,a maximum correntropy based method,which is much more robust,is introduced.Finally,the characteristics of Jacobian matrix are utilized to improve the calculation efficiency and robustness of the algorithm,thus enhancing the success rates of Jacobian matrix estimation and topology identification.A case study on an IEEE 33-node distribution system verifies the correctness and effectiveness of the proposed method.

关 键 词：配电网 潮流雅可比矩阵 压缩感知 拓扑辨识 

分 类 号：TM74[电气工程—电力系统及自动化]