基于压缩感知的电能质量稳态信号数据压缩算法研究  

Research on Data Compression of Stable Power Quality Signal Based on Compressed Sensing

作　　者：欧阳华[1] 王宇 杨忠林[1] OUYANG Hua;WANG Yu;YANG Zhonglin(School of Electrical Engineering,Naval University of Engineering,Wuhan 430033, Chin)

机构地区：[1]海军工程大学电气工程学院,湖北武汉430033

出　　处：《电器与能效管理技术》2017年第23期17-22,共6页Electrical & Energy Management Technology

基　　金：国家自然科学青年基金(51307178)

摘　　要：针对电能质量稳态信号的压缩问题,采用压缩感知理论实现了电能质量稳态信号的压缩采样和非线性重构。首先构造了谐波、电压波动和闪变等稳态电能质量信号的仿真模型,分析了上述信号在在傅里叶变换(DFT)正交基上的稀疏性,然后以随机高斯白噪声为测量矩阵进行电能质量信号的线性测量,最后采用正交匹配追踪算法实现信号重构。数值仿真表明了以DFT正交基作为稀疏分解字典的电能质量稳态信号压缩采样的可行性,它以远低于Nyquist采样频率的测量数实现了数据获取,并取得了与传统DFT正交变换和小波变换的正交变换阈值压缩相比拟的压缩性能。The compressed sampling and non-linear reconstruction of the stable power quality signal were realized by the compressed sensing（ CS） theory for the compression of the power quality（ PQ） signals. Firstly,the sparseness of PQ signal,such as harmonics,voltage fluctuation and flicker,with respect to discrete Fourier transform（ DFT） orthogonal basis was analyzed. To get a small number of measurements,the Gaussian random matrix was chosen for linear non-adaptive measurements of the PQ signals,due to its small restricted isometry constants. The orthogonal matching pursuit,a kind of greedy algorithms,was used for reconstruction finally. The numerical simulation shows the feasibility of compressed sampling of stable power quality signal based on DFT orthogonal dictionary. Data acquisition of PQ signal is achieved at a much lower number than that of achieved by Nyquist sampling frequency. Compared to conventional WT and DFT transform compression by certain thresholds,the reconstructed performance based on CS method is acceptable.

关 键 词：压缩感知 电能质量 稀疏表示 DFT正交基 

分 类 号：TM933[电气工程—电力电子与电力传动]