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短时电能质量信号压缩采样方法的研究 被引量:13

Research on Compression Sampling Algorithm of Short-time Power Quality
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摘要 根据压缩传感(Compressed Sensing,CS)理论,首次提出了短时电能质量扰动信号的压缩采样方法,该方法突破了奈奎斯特采样频率的限制,实现了低于奈奎斯特采样频率的低速率采样。文中对比分析了CS理论与传统采样理论,研究了CS短时电能质量信号压缩采样的实现方法,包括:测量矩阵的构建、稀疏基的选取和电能质量信号快速贝叶斯匹配追踪重构算法(FBMP)。文中针对6种短时电能质量信号进行了仿真实验,给出了不同压缩采样比的条件下,该压缩采样方法所能达到的性能指标,结果标明本文提出的方法正确有效。 Compression sampling algorithm of short-time power quality is first time proposed in this paper according to Compressed Sensing theory.It breaks through the limitation of the Nyquist sampling frequency,and it implements Low-rate sampling lower than Nyquist sampling frequency.The paper compares CS theory and Traditional sampling theory and studies implementation of short-time power quality compression sampling based on CS theory,which includes: construction of the measurement matrix,selection of the sparse basis and signal-based fast Bayesian matching pursuit reconstruction algorithm(FBMP).In this paper,simulation experiment is performed for six kinds of short-time power quality,performance indicator can be achieved by the compression sampling algorithm in conditions of different compression sampling ratio is given.The results indicate the method proposed in this paper is correct and effective.
出处 《电测与仪表》 北大核心 2010年第12期8-11,19,共5页 Electrical Measurement & Instrumentation
关键词 电能质量 压缩传感 匹配追踪 数据压缩 power quality compressed sensing MP data compression
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参考文献9

  • 1李霖,杨洪耕,赵艳粉.基于二维离散平稳小波变换的短时电能质量扰动检测方法[J].电网技术,2007,31(11):49-53. 被引量:7
  • 2周厚奎.基于小波和神经网络的电能质量扰动信号数据压缩[J].电力自动化设备,2007,27(3):38-40. 被引量:9
  • 3Donoho D L.Compressed sensing[J].IEEE Transactions on Information Theory,2006,52(4):1289-1306.
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  • 6Candes E J,Romberg J,Tao T.Robust uncertainty principles:exact signal reconstrucion from highly incomplete frequency information[J].IEEE Transactions on Information Theory,2006,52(2):489-509.
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  • 8傅迎华.可压缩传感重构算法与近似QR分解[J].计算机应用,2008,28(9):2300-2302. 被引量:31
  • 9P.Schniter,L C.Potter,and J.Ziniel."Fast Bayesian Matching Pursuit," Proe.Workshop on Information Theory and Applications (ITA),(La Jolla,CA),Jan.2008.

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