基于自适应TLS-ESPRIT和改进全相位多密集谱间谐波检测  

Detection method of multi-dense spectrum inter-harmonics based on adaptive TLS-ESPRIT and improved all-phase

作　　者：蔡星月 高云鹏[1] 李云峰[1] 朱彦卿[1] 李文博 Cai Xingyue;Gao Yunpeng;Li Yunfeng;Zhu Yanqing;Li Wenbo(College of Electrical and Information Engineering,Hunan University,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》2020年第12期199-207,共9页Chinese Journal of Scientific Instrument

基　　金：国家自然科学基金(51777061);长沙市重点研发计划项目(kq1901029);湖南省研究生科研创新项目(CX20200432)资助。

摘　　要：针对含多密集谱间谐波参量准确提取难题,提出基于自适应TLS-ESPRIT和改进全相位谱分析的多密集谱间谐波检测方法。首先构建多密集谱间谐波输入信号Hankel矩阵并进行奇异值求解,提出奇异值相邻增长比构建自适应TLS-ESPRIT算法,据此确定含多密集谱间谐波输入信号频率分量,提取输入信号频率信息,推导全相位谱分析峰值谱线与频偏关系式,计算多密集谱间谐波幅值信息,遵循全相位谱分析"相位不变"特性获得相位信息,并开发基于虚拟仪器架构的间谐波参数检测实验平台。仿真表明,所提方法在单一密集谱、多密集谱、间谐波幅值波动及噪声干扰情况下均可准确检测间谐波频率、幅值和相位,相比传统检测方法具有更高检测准确度,实测结果满足GB/T 24337—2009间谐波测量要求。It is difficult to extract parameters containing multiple dense spectrum inter-harmonics. To address this issue, this study proposes a multi-dense spectrum inter-harmonic detection method, which is based on adaptive TLS-ESPRIT method and improved all-phase spectrum analysis. Firstly, the Hankel matrix of the multi-dense spectrum inter-harmonic input signal is established and its singular value is achieved. The singular value′s adjacent growth ratio is used to formulate an adaptive TLS-ESPRIT algorithm. Based on this, the number of frequency components in the input signal with multiple dense spectrum inter-harmonics is determined. Then, the frequency information in the input signal is extracted. The relationship between the peak spectrum line and the frequency offset in the all-phase spectrum analysis method is derived. The amplitude information of the multiple dense spectrum inter-harmonics is calculated. The phase information is obtained by the "phase invariant" feature of all-phase spectrum analysis. An experiment platform for inter-harmonic parameter detection is developed, which is based on the virtual instrument architecture. Simulations under the conditions of single dense spectrum, multiple dense spectrum, inter-harmonic amplitude fluctuation and noise interference are implemented. Results show that the proposed method can accurately detect the frequency, amplitude and phase of inter-harmonics. Compared with traditional detection methods, the proposed method has higher detection accuracy. The actual measurement results meet the requirements of GB/T 24337—2009 inter-harmonic measurement.

关 键 词：间谐波 密集谱 自适应TLS-ESPRIT 改进全相位 虚拟仪器 

分 类 号：TH89[机械工程—仪器科学与技术]