Harmonic detection method based on compressive sampling orthogonal matching pursuit

A technology of orthogonal matching tracking and compressive sampling, applied in spectral analysis/Fourier analysis and other directions, which can solve problems such as waste of resources

Active Publication Date: 2013-03-06
JIANGSU UNIV
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Problems solved by technology

The traditional sampling method and the decompression process have brought a lot of waste of resources, so it is important to find a new compression method, use the detection algorithm to directly extract the required feature quantity from the compressed sampling value, and complete various harmonic detection. significance

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  • Harmonic detection method based on compressive sampling orthogonal matching pursuit
  • Harmonic detection method based on compressive sampling orthogonal matching pursuit
  • Harmonic detection method based on compressive sampling orthogonal matching pursuit

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Embodiment Construction

[0022] combine figure 1 The specific embodiment of the present invention is illustrated, and the steps of the specific embodiment are as follows:

[0023] Step 1: Determine the measurement matrix of the signal under test for Gaussian random measurement matrix of dimension, sparse transformation basis Rebasing the Fourier transform, the observation matrix , and satisfy the constraint equidistant condition.

[0024] Step 2: Sparse Signal x Approximate value of a initial value All elements are set to zero, upper right corner superscript t- 1 indicates the current number of iterations; the initial redundant error value is the compressed sampling vector ;

[0025] Step 3: The initial value of the order of the harmonic component to be detected: m =1;

[0026] Step 4: The initial value of the number of iterations: t =1;

[0027] Step 5: Calculating signal proxy: ; express The adjoint matrix;

[0028] Step 6: Select Signal Proxy 2 of K largest element: ...

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Abstract

The invention discloses a harmonic detection method based on compressive sampling orthogonal matching pursuit. The harmonic detection method comprises the following steps of: firstly, carrying out compressive sampling on an original harmonic signal, and subsequently carrying out harmonic detection and separation on a sampling sequence value directly by using an orthogonal matching pursuit algorithm. The sparseness does not need to be estimated, the frequency characteristic corresponding to each harmonic component comprises two spectral lines, and the sparseness in a compressive sampling orthogonal matching pursuit harmonic detection algorithm is a definite quantity, so that errors caused by the sparseness estimation are avoided; the characteristic quantity is modified in each iteration, and a redundancy error value is updated so as to establish a new redundancy signal proxy, and furthermore identify a maximum element in a present component; and the reconstruction of the original signal does not need to be carried out, however the original harmonic signal can be precisely detected with very few signal sampling number, so that the burden of sampling equipment is reduced, the storage space of intermediate variables is saved, and interested fundamental waves and sub-harmonic components are directly detected from the compressive signal.

Description

technical field [0001] The invention relates to the field of harmonic detection in electric power systems, and relates to a harmonic detection method based on compressed sampling, quadrature matching and tracking. Background technique [0002] With the continuous increase of power load and the application of a large number of nonlinear components, the problem of harmonics is becoming more and more complicated. There are not only integer harmonics but also non-integer harmonics in the power system. The traditional fast Fourier transform can realize accurate detection of integer harmonics, but the detection error of non-integer harmonics is relatively large. Wavelet transform can be used for non-stationary harmonic detection, but due to the crossover phenomenon between frequency bands, it is difficult to select wavelet bases, which affects the detection accuracy. There are other methods such as HHT, minimum principle of compensation current, Kalman filter, Prony algorithm an...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01R23/16
Inventor 沈跃刘国海刘慧陈兆岭张浩赵文祥白雪蒋彦
Owner JIANGSU UNIV
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