引用本文:罗杰,符玲,臧天磊,何正友.基于联合对角化法与数据筛选的谐波责任划分[J].电力自动化设备,2018,(11):
LUO Jie,FU Ling,ZANG Tianlei,HE Zhengyou.Harmonic responsibility determination based on JADE and data filtering[J].Electric Power Automation Equipment,2018,(11):
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基于联合对角化法与数据筛选的谐波责任划分
罗杰1, 符玲1, 臧天磊2, 何正友1
1.西南交通大学 电气工程学院,四川 成都610031;2.清华大学 电机系,北京100084
摘要:
针对背景谐波波动的随机性,为了更加准确地划分谐波责任,考虑到谐波阻抗的符号特性和电力系统中系统侧谐波阻抗远远小于用户侧谐波阻抗的实际情况,在联合对角化法的基础上,提出了一套数据筛选准则。利用联合对角化法对谐波电压和谐波电流进行分解,得到混合矩阵;分别通过符号判别法和比例系数法纠正次序不确定性和幅值不确定性;应用数据筛选准则得到谐波阻抗;根据谐波责任定义式估算谐波责任。对IEEE 13节点系统进行仿真测试和实测数据分析,结果表明:与传统方法相比,所提方法的估算精度和适应性更好。
关键词:  谐波分析  谐波责任划分  谐波阻抗估算  联合对角化法  数据筛选准则  背景谐波波动
DOI:10.16081/j.issn.1006-6047.2018.11.012
分类号:TM711
基金项目:国家自然科学基金杰青基金资助项目(51525702);国家自然科学基金面上项目(51777173);四川省科技支撑计划资助项目(2016RZ0079)
Harmonic responsibility determination based on JADE and data filtering
LUO Jie1, FU Ling1, ZANG Tianlei2, HE Zhengyou1
1.School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China;2.Department of Electrical Engineering, Tsinghua University, Beijing 100084, China
Abstract:
In allusion to the randomness of the background harmonic fluctuations and considering the symbolic characteristic of harmonic impedance and the practical situation that the harmonic impedance of the system-side is far less than that of the customer-side, a set of data filtering criterion is proposed based on the JADE(Joint Approximate Diagonalization of Eigen-matrices) to determine the harmonic responsibility more accurately. The mixed matrix is obtained by using the JADE to decompose the harmonic voltage and the harmonic current, the order uncertainty and the amplitude uncertainty are corrected by the symbol discriminant method and the proportional coefficient method respectively, the harmonic impedance is obtained by using the data filtering criterion, and then the harmonic responsibility is calculated according to the definition equation. The simulation test and measured data analysis of IEEE 13-bus system show that the proposed method has better estimation accuracy and adaptability than traditional methods.
Key words:  harmonic analysis  harmonic responsibility determination  harmonic impedance estimation  joint approximate diagonalization of eigen-matrices  data filtering criterion  background harmonic fluctuation

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