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High-precision harmonic analysis method of sampling data synchronization

A technology of sampling data and harmonic analysis, applied in spectrum analysis/Fourier analysis, etc., can solve problems such as harmonic analysis that cannot be applied to high precision, complex formula derivation and compensation calculation, and limitation of interpolation points

Inactive Publication Date: 2011-11-16
CHONGQING UNIV
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Problems solved by technology

[0004] The disadvantages of the above synchronization method are: ① In the differential interpolation, the calculation of parameters such as the fundamental frequency and the amplitude of each harmonic is complicated, and the data in the previous signal period must be called during synchronization processing, so the minimum delay for parameter calculation greater than the fundamental period of the signal; ②During data interpolation, the smoothness and accuracy of the interpolation curve are limited; and there is a limit to the number of interpolation points, that is, the interpolation points are required to be close to the number of sampling points, and the adjustment is difficult, and complex formula derivation and Compensation calculation; the accuracy of the above method is low, the error is about 10-2% to 101%, and it cannot be applied to high-precision harmonic analysis

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[0065] The implementation example of the present invention is further described below, assuming that the grid signal model is:

[0066] x ( t ) = cos ( ω 0 t + π 4 ) + 0.5 cos ( 3 ω 0 t + π 3 ) + 0.3 cos ( 5 ω 0 t + π 6 ) + 0.1 cos ( 9 ω 0 t + π ...

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Abstract

The invention discloses a high-precision harmonic analysis method of sampling data synchronization, which is suitable for the field of power grid harmonic analysis and can realize accuracy computation of frequency, amplitude and phase of a power grid signal. The technical scheme of the invention is as follows: 1, a quadratic polynomial reverse interpolation method for accurately determining a fundamental wave period ensures that the computing precision of the fundamental wave period is improved by 2 orders of magnitude (reaching 1.51*10<-7> percent); and 2, a radial primary function interpolation method used for synchronizing nonsynchronously-sampled data ensures that synchronization data errors subjected to radial primary function interpolation are improved by 3-4 orders of magnitude (reaching 1.1*10<-9> percent). The invention has the advantage that the computing precision of harmonic parameters (amplitude and phase) on the basis of synchronization data is improved by 4-5 orders of magnitude.

Description

technical field [0001] The invention relates to a high-precision harmonic analysis method for stable periodic signals, including a quadratic polynomial inverse interpolation method for accurately measuring the fundamental wave period, and a radial basis function interpolation method for synchronous processing of asynchronous sampling data. The invention belongs to the field of harmonic analysis of grid signals. Background technique [0002] In the field of electric energy metering, when calculating active and reactive power based on frequency domain power theory, accurate voltage and current harmonic amplitudes and phase relationships are required; in grid power quality monitoring, the harmonic distribution of voltage and current is also required situation; therefore, harmonic analysis is an important content in power grid signal research. The current harmonic analysis is mainly realized by sampling and digital processing of the power grid signal. Considering the asynchrono...

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Application Information

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IPC IPC(8): G01R23/16
Inventor 张淮清付志红侯兴哲李春燕张谦
Owner CHONGQING UNIV
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