引用本文:林金榕,张逸,李传栋,邵振国,李宽宏.基于矩阵范型的配电网三相谐波潮流算法[J].电力自动化设备,2022,42(4):
LIN Jinrong,ZHANG Yi,LI Chuandong,SHAO Zhenguo,LI Kuanhong.Three-phase harmonic power flow algorithm of distribution network based on matrix paradigm[J].Electric Power Automation Equipment,2022,42(4):
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基于矩阵范型的配电网三相谐波潮流算法
林金榕1, 张逸1, 李传栋2, 邵振国1, 李宽宏3
1.福州大学 电气工程与自动化学院,福建 福州 350108;2.国网福建省电力有限公司电力科学研究院,福建 福州 350007;3.国网福建省电力有限公司福州供电公司,福建 福州 350009
摘要:
配电网的传统潮流算法主要是基于前推回代法,当综合考虑谐波和三相不平衡等电能质量问题时,算法复杂度激增,难以扩展新模型,且当电源类型出现转换时算法收敛性欠佳。基于牛顿-拉夫逊法三相基波潮流和三相谐波导纳网络,提出一种综合考虑电能质量问题、适用于各种网络结构的配电网三相潮流范型算法。综合运用矩阵内积、矩阵索引、关联矩阵等矩阵变换运算,构建三相谐波导纳矩阵和牛顿-拉夫逊法三相基波潮流矩阵的高效生成和随机访问方法;在此基础上,结合变压器等模型实现三相谐波导纳矩阵的结构性更新,建立一种灵活高效的三相谐波潮流算法。在IEEE 14节点系统上利用OpenDSS对所提算法的准确性与有效性进行验证;在IEEE 123节点系统上将所提算法与传统前推回代法进行对比,验证了所提算法提升效率和处理环网的能力。
关键词:  配电网  三相谐波  电能质量  潮流计算  矩阵运算
DOI:10.16081/j.epae.202201016
分类号:TM711
基金项目:国家自然科学基金资助项目(51777035);福建省自然科学基金资助项目(2020J01123)
Three-phase harmonic power flow algorithm of distribution network based on matrix paradigm
LIN Jinrong1, ZHANG Yi1, LI Chuandong2, SHAO Zhenguo1, LI Kuanhong3
1.College of Electrical Engineering and Automation, Fuzhou University, Fuzhou 350108, China;2.Electric Power Research Institute of State Grid Fujian Electric Power Company, Fuzhou 350007, China;3.Fuzhou Power Supply Company of State Grid Fujian Electric Power Company, Fuzhou 350009, China
Abstract:
The traditional power flow algorithm of distribution network is mainly based on the forward and backward algorithm, the complexity of the algorithm increases sharply and it is difficult to expand new model when the harmonics and three-phase imbalance are comprehensively considered, and the convergence of the algorithm is not good enough when the type of source changes. Based on three-phase fundamental wave power flow of Newton-Raphson method and three-phase harmonic admittance matrix, a three-phase power flow paradigm algorithm of distribution network is proposed, which comprehensively considers power quality problems and is suitable for various network structures. The efficient generation and random access method of three-phase harmonic admittance matrix and three-phase fundamental wave power flow matrix of Newton-Raphson is constructed by comprehensively using matrix transformation operations such as matrix inner pro-duct, matrix index and incidence matrix. On this basis, the structure of three-phase harmonic admittance matrix is updated combining with transformer and other models, and a flexible and efficient three-phase harmonic power flow algorithm is established. OpenDSS is used to verify the accuracy and validity of the proposed algorithm in IEEE 14-bus system. The proposed algorithm and the traditional forward and backward algorithm are compared in IEEE 123-bus system, it is verified that the proposed algorithm can improve the efficiency and deal with the ring network.
Key words:  distribution network  three-phase harmonic  power quality  power flow calculation  matrix operation

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