密集型谐波检测的压缩采样方法

压缩采样已成为电力系统中复杂谐波畸变信号实时采集和密集检测的发展趋势。文中针对谐波和间谐波检测,提出一种新型压缩采样检测方法。分析得到稀疏度的相关定理和推论,提出多重提取梯度追踪(MEGP)算法,提升谐波分量、特别是间谐波分量的检测精度。考虑频谱泄漏影响,构造窗稀疏测量(WSM)矩阵,生成简单且对所有分量有效。实验表明,MEGP算法至少可将频率、幅值、相位检测精度分别提升0.000 53Hz、0.011 2个百分点和0.071°,WSM矩阵则可将信噪比提升约30dB。所提压缩采样检测方法对频率、幅值和相位的检测误差在0.004 03 Hz、0.001 73%和0.037 221°以内,满足国家标准要求。

Compressive Sampling Method for Dense Harmonic Detection

Compressive sampling has become the development trend of real-time acquisition and dense detection of complex harmonic distortion signal in power systems. In view of the problems in harmonic and inter-harmonic detection, this paper proposes a new detective method with compressive sampling. By analyzing the related theorems and corollaries for obtaining sparsity degree, the multiple-extraction gradient pursuit(MEGP)algorithm is proposed to promote detective precision of harmonic components, especially the inter-harmonic components. Considering the spectrum leakage, a window sparse measure(WSM)matrix is created, which is generated simply and effective for all components. Results of experiments show that the MEGP algorithm is able to promote 0. 00053, 0. 011 2% and 0. 071° of detective precision for frequency, amplitude and phase, respectively, while the WSM matrix is able to promote the signal to noise ratio(SNR)about 30 dB. The detective errors of frequency, amplitude and phase by compressive-sampling detective method are within 0. 004 03 Hz, 0. 001 73% and 0. 037 221°, respectively, which totally meets the demand of the national standards.