| 引用本文: | 张滨生,喻乐,和敬涵,周文.基于快速TLS-ESPRIT的间谐波检测算法[J].电力自动化设备,2011,31(2): |
| ZHANG Binsheng,YU Le,HE Jinghan,ZHOU Wen.Inter-harmonic detection based on fast TLS-ESPRIT[J].Electric Power Automation Equipment,2011,31(2): |
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| 摘要: |
| 提出改进的快速TLS-ESPRIT（全局最小二乘子空间旋转不变）算法，其在TLS-ESPRIT算法的基础上，通过降低奇异值分解维数，减小了计算量，并对计算结果不产生影响，可高精度地辨识电力系统中任意组合谐波和间谐波的频率、幅值和相位参数信息。在采样间隔10 μs、采样2 000点的实验条件下，用仿真信号（含均方差为1的白噪声）和实际牵引变电站监测信号进行间谐波分析试验，结果表明，该方法具有良好的频率分辨率和抗噪声能力，能够在较短的数据窗内有效地辨识出信号中的主要谐波和间谐波分量，计算误差小于0.5 %；并且算法仅对周期信号敏感，不受频谱泄漏影响，实用性强。 |
| 关键词: 间谐波 ESPRIT 快速傅里叶变换 TLS-ESPRIT 降维 |
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| Inter-harmonic detection based on fast TLS-ESPRIT |
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ZHANG Binsheng1, YU Le2, HE Jinghan2, ZHOU Wen3
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1.Linfen Company of Shanxi Electric Power Corporation，
Linfen 030002，China;2.Beijing Jiaotong University，Beijing 100044，China;3.Hebei Electric Power Research Institute，Shijiazhuang 050021，China
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| Abstract: |
| A fast algorithm based on TLS-ESPRIT（Total Least Squares-Estimation of Signal Parameters via Rotational Invariance Techniques） is proposed to identify the random harmonic combination and measure the frequency，magnitude and phase angle of inter-harmonic，which reduces the computational load with little influence on calculative result through the dimension reduction of singular value decomposition. Tests are carried out with 2 000 sampling points of 10 μs sampling rate for the simulative signal（white noise with 1 mean square error） and the actual traction substation monitored signal. Result shows that，the proposed algorithm has better performance in frequency identification and antinoise capability. Being sensitive only to periodic signal and immune to frequency leakage，it effectively identifies the main harmonic and inter-harmonic of signal within shorter data window（calculation error < 0.5 %）. |
| Key words: inter-harmonic ESPRIT FFT TLS-ESPRIT dimension reduction |
