Research And Application Of Power Quality Analysis Based On Improved Sparse Fast Fourier Transform

Sparse Fast Fourier transform is a series of research results published since 2012 to reduce the computational complexity of Fourier transform.Sparse Fast Fourier transform is a kind of discrete Fourier transform algorithm which makes the computational complexity and the number of signal sequences be sublinear in relationship using the sparse features of the signal in a domain.Now in the Spectrum Sensing,Magnetic Resonance Imaging(MRI),Light Field Photography,GPS,Nuclear Magnetic Resonance(NMR),Radio Astronomy and other fields have been the practical application of the algorithm.But at present,the application of the algorithm in the field of power quality analysis is still blank.In this paper,the main work is as follows:1)A comprehensive and detailed introduction to the whole Sparse Fast Fourier Transform theory,from the whole process framework to the specific steps and proof of each step,has been fully followed by a series of studies on the study since 2012.2)According to the author's research direction,after analyzing the characteristics of the signal object of the power quality analysis,with the understanding of the algorithm and the analysis of the characteristics of the power quality signal,the original sparse fast Fourier transform algorithm is adapted to the actual improvement,And the simulation comparison is carried out before and after the improvement.3)In order to solve the problem of current power quality analysis,the improved algorithm is applied in the two directions with low frequency resolution and high frequency harmonic width.The simulation results are obtained by Matlab platform,and the ideal result is obtained.At the same time,using the existing equipment conditions of the laboratory,the improved algorithm is based on the TMS320F28335 DSP,and the experimental confirmation,get the desired results.In theory,this paper not only makes a comprehensive and detailed introduction and analysis of the transformation algorithm,but also makes a more realistic improvement to the original algorithm according to the research direction.In practice,this paper not only applies the transformation algorithm to the power quality analysis problem which still needs to be improved,but also realizes the improved algorithm to the existing hardware.