New Measurement Algorithm for Supraharmonics Based on Multiple Measurement Vectors Model and Orthogonal Matching Pursuit

There are many cases of electromagnetic interference caused by supraharmonics emitted by power electronic equipment. However, there is currently no effective method for measuring supraharmonics. This paper proposes a new supraharmonics high-resolution measurement algorithm based on a multiple measurement vectors (MMVs) compressive sensing (CS) model and an orthogonal matching pursuit (OMP) recovery algorithm. First, by introducing an interpolation factor, based on a spectrum array of multiple discrete Fourier transform coefficient vectors and a Dirichlet kernel matrix, an MMVs CS model is constructed. Then, by using the jointly sparse property of high-resolution spectrum array, the MMVs CS model is converted into a single-measurement vector CS model. Third, by using an OMP recovery algorithm, the support set of the high-resolution spectrum array is solved. Finally, by using least squares, the high-resolution spectrum array of supraharmonics is obtained. Simulation results and verification of the measured data show that the algorithm proposed in this paper can improve the frequency resolution by an order of magnitude without increasing the observation time, can shorten the calculation time by 100× compared with the single measurement vector compressive sensing-OMP algorithm, and can compute the amplitude and phase of supraharmonics accurately. Meanwhile, the amplitude fluctuation characteristics of supraharmonics can also be analyzed accurately. This algorithm shows a good application prospect in measuring supraharmonics accurately.