基于改进ICA-OMP优化原子分解的谐波和间谐波检测方法  

An approach to detect harmonics and inter-harmonics using improved ICA-OMP optimized atomic decomposition

作　　者：李雅鑫 滕召胜[1] 计志勇 张雷鹏 黄丹阳 Li Yaxin;Teng Zhaosheng;Ji Zhiyong;Zhang Leipeng;Huang Danyang(College of Electrical and Information Engineering,Hunan Universily,Changsha 410082,China)

机构地区：[1]湖南大学电气与信息工程学院,长沙410082

出　　处：《仪器仪表学报》2022年第7期247-256,共10页Chinese Journal of Scientific Instrument

基　　金：国家自然科学基金项目(52077067);教育部产学合作协同育人项目(202002066032)资助。

摘　　要：针对原子分解中匹配追踪类算法存在的问题,提出一种结合帝国竞争算法(ICA)和正交匹配追踪算法(OMP)优化原子分解的电网谐波和间谐波信号检测方法。首先根据谐波和间谐波信号的特征,将Gabor原子库简化为正弦原子库。然后采用OMP算法对谐波和间谐波信号进行原子分解,通过设置合理的相关性阈值确定终止迭代次数。最后,根据搜寻出的最佳匹配原子的索引参数实现谐波和间谐波信号参数估计。在OMP算法迭代过程中引入ICA,可实现在连续参数空间中搜索最佳匹配原子,避免索引参数步长对检测精度的限制。算例仿真与实测表明本文提出的算法能够在噪声干扰情况下准确检测出各次谐波和间谐波分量,频率、幅值和相位的最大检测误差分别为0.015 4%、0.722 4%和1.512 6°,可有效分辨出频率相近的间谐波分量,实现时变谐波和间谐波分量的精确定位。与正交匹配追踪算法相比,计算复杂度缩减率在99%以上。In view of the problems of matching pursuit algorithms in signal sparse decomposition, we propose a method to detect harmonics and inter-harmonics based on atomic decomposition, which is optimized by the imperialist competitive algorithm(ICA) and orthogonal matching pursuit algorithm(OMP). First, the Gabor dictionary is simplified to the sinusoidal dictionary according to the characteristics of harmonics and inter-harmonics. Then, the signals are decomposed by using the OMP algorithm. In which, the number of iterations is determined by the reasonable threshold of correlation and energy. Finally, the estimation of parameters is obtained based on the index parameters of the most matching atoms. The introduction of ICA in the iterative process of OMP can search for the best matching atoms in the continuous parameter space, which avoids the limitation of index parameter step size on detection accuracy. Simulation results show that the proposed algorithm can detect each harmonic and inter-harmonic component with high accuracy, even under noisy conditions. The error of frequency, amplitude, and phase are less than 0.015 4%, 0.722 4%, and 1.512 6°, respectively. In addition, the proposed algorithm has the ability to detect inter-harmonics with closing frequencies and locate the time-varying harmonics and inter-harmonics. Compared with the orthogonal matching pursuit algorithm, the computational complexity is reduced by more than 99%.

关 键 词：谐波 间谐波 原子分解 正交匹配追踪 帝国竞争 

分 类 号：TM71[电气工程—电力系统及自动化] TM935[机械工程—仪器科学与技术] TH89[机械工程—精密仪器及机械]