基于改进双曲正切函数的LMS谐波电流检测算法  

LMS harmonic current detection algorithm based on improved hyperbolic tangent function

作　　者：张展[1] 王维 史松林 冷全超 ZHANG Zhan;WANG Wei;SHI Songlin;LENG Quanchao(School of Electrical Engineering and Automation,Henan Polytechnic University,Jiaozuo 454150,China)

机构地区：[1]河南理工大学电气工程与自动化学院,河南焦作454150

出　　处：《武汉大学学报（工学版）》2020年第12期1085-1090,共6页Engineering Journal of Wuhan University

基　　金：国家自然科学基金-河南联合基金培育项目(编号:U1804143);河南省矿山电力电子装置与控制科研团队基金项目(编号:CXTD2017085)。

摘　　要：在谐波电流检测中,针对传统定步长算法和基于双曲正切函数算法存在收敛速度和稳态误差不可兼得的矛盾问题,提出了一种基于改进双曲正切函数的最小均方(least mean square,LMS)谐波电流检测算法。该算法利用当前时刻误差与历史误差变比来动态控制算法的步长因子,引入系统误差信号的自相关时间均值估计来控制过去数据对当前状态的影响,同时对权值系数进行2次迭代,将2次迭代结果作为新的权值系数,有效地解决了收敛速度和稳态误差的矛盾,并通过仿真,验证了所提出的算法有效性、可行性和鲁棒性。In harmonic current detection,a least mean square(LMS)harmonic current detection algorithm based on improved hyperbolic tangent function is proposed to overcome the contradiction of the traditional fixed-step algorithm and the hyperbolic tangent function algorithm in terms of convergence speed and steady-state error.The algorithm uses the variable ratio of current time error to historical error to dynamically control the step factor of the algorithm.The autocorrelation time mean estimation of the system error signal is introduced to control the influence of the past data on the current state.At the same time,the weight coefficients are iterated twice,and the results of the two iterations are taken as the new weight coefficients.The contradiction between convergence speed and steady-state error is effectively solved,and the effectiveness,feasibility and robustness of the proposed algorithm are verified by simulation experiments.

关 键 词：谐波检测 双曲正切函数 自适应 变步长 

分 类 号：TM935[电气工程—电力电子与电力传动]