基于快速近似联合对角化的谐波发射水平评估方法  

Assessment Method of Harmonic Emission Level Based on Fast Approximate Joint Diagonalization

作　　者：袁林[1] 杨洪耕[1] 王智琦[1] 肖楚鹏[2,3] 

机构地区：[1]四川大学电气信息学院,四川省成都市610065 [2]南瑞集团公司(国网电力科学研究院),江苏省南京市211106 [3]南瑞(武汉)电气设备与工程能效测评中心,湖北省武汉市430074

出　　处：《电力系统自动化》2017年第7期81-87,共7页Automation of Electric Power Systems

基　　金：国家自然科学基金资助项目(51477105)~~

摘　　要：提出了一种基于快速近似联合对角化(FAJD)估计系统谐波阻抗及计算谐波发射水平的新方法。在直角坐标下,根据谐波诺顿等效电路的基本原理,推导得出公共连接点处谐波电压和电流与系统和用户侧谐波电流源的关系。考虑两侧谐波电流源相互独立的基本条件,利用FAJD方法求得解混矩阵并分离出两侧谐波电流源分量,采用最小二乘法求得混合系数矩阵,对比基本电路方程求得系统侧谐波阻抗的实部和虚部,进而评估谐波发射水平。该方法以公共连接点测量的谐波电压和电流信息为基础,无需先验数据匹配也不要求目标观测矩阵为正交矩阵,因此无需预白化处理,避免引入不必要的误差,具有更高的分离精度和更强的抗背景谐波干扰能力。最后,通过仿真对比分析与实测数据验证了所提方法的可行性和有效性。A method based on fast approximate joint diagonalization（FAJD）is proposed to estimate the system-side harmonic impedance and calculate the harmonic emission level.Under Cartesian coordinates,according to the basic principle of harmonic Norton equivalent circuit,the relationships between the harmonic voltage and current at the point of common coupling（PCC）and the system-side and user-side current of the harmonic source are deduced.Considering basic conditions that both sides of harmonic current source are independent,the FAJD method is used to obtain the mixed matrix and the both sides＇ components of harmonic current source.Then the real and imaginary parts of the system-side harmonic impedance are obtained by comparing the basic circuit equation after getting mixed coefficient matrix by the least squares method.Hence the harmonic emission level is assessed.The method is based on the measured harmonic voltage and current at point of common coupling（PCC）,without matching priori data or requiring observation target matrix to be an orthogonal matrix.So it has higher separation accuracy and better performance of anti-interference of background harmonic without pre-whitening while avoiding introducing unnecessary errors.Finally,based on the result of simulation and measured data,the feasibility and effectiveness of the proposed method is verified.

关 键 词：盲源分离 快速近似联合对角化 系统侧谐波阻抗 谐波发射水平 

分 类 号：TM711[电气工程—电力系统及自动化]