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2560-point grouping 2-based rapid fast fourier transform method

A technology of Fourier transform and leaf transform, applied in the field of 2560-point grouping base 2 fast Fourier transform, which can solve problems such as unsatisfactory use needs, slow measurement and analysis speed of harmonics and interharmonics, etc.

Inactive Publication Date: 2012-12-19
GUODIAN NANJING AUTOMATION
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Problems solved by technology

[0003] In order to solve the problem that the power quality on-line monitoring device in the prior art has a slow measurement and analysis speed for harmonics and inter-harmonics and cannot meet the needs of use, the present invention provides a fast Fourier transform method

Method used

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  • 2560-point grouping 2-based rapid fast fourier transform method
  • 2560-point grouping 2-based rapid fast fourier transform method
  • 2560-point grouping 2-based rapid fast fourier transform method

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Embodiment Construction

[0029] Embodiments of the present invention are described in detail below:

[0030] There is a sampling time window, the number of data points is {x(n)}, n=0,1,2,3...,2559.

[0031] Then its DFT is:

[0032] X ( k ) = DFT [ x ( n ) ] = Σ n = 0 2559 x ( n ) W 2560 kn ;

[0033] in W N = e - j 2 π N , N=2560.

[0034] Set 0≤k≤511, divide {x(n)} into 5 groups {x(5r)}, {x(5r+1)}, {x(5r+2)}, ...

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Abstract

The invention discloses a 2560-point grouping 2-based rapid fast Fourier transform method. The 2560-point grouping 2-based rapid fast Fourier transform method is mainly used for measurement calculation of components of harmonic waves and inter-harmonic waves of an online electric energy quality monitoring device. The 2560-point grouping 2-based rapid fast Fourier transform method is characterized by comprising the following steps: as to a multi-spectrum Fourier transform of which the quantity of data window sampling points is 2560, firstly, grouping, extracting points from the 2560 points at equal intervals and dividing the 2560 points into five groups, wherein 2560 is equal to 512*5, carrying out 2-based rapid fast Fourier transform on 512 points in each group, and finally, determining the fast Fourier transform result of 2560 points from the five groups of results. According to the invention, the problem in the prior art that the online electric energy quality monitoring device measures and analyzes the harmonic wave and inter-harmonic wave slowly and cannot meet the use requirement is solved, and the fast Fourier transform method meeting the accuracy and the rapidity is provided, so that the electric energy quality device can measure the harmonic wave and inter-harmonic wave easily.

Description

technical field [0001] The invention relates to a 2560-point grouping base 2 fast Fourier transform method, in particular to a method for measuring and calculating harmonics and interharmonics mainly applied to an online power quality monitoring device. Background technique [0002] Harmonics and interharmonics are important monitoring parameters of power quality. The current standard stipulates that the spectrum analysis time window for harmonic measurement is 200ms, that is, the spectrum analysis results of 10 power frequency cycles are used as the unsteady signal harmonics and interharmonics. The basic basis for wave evaluation, such that the spectral resolution reaches 5 Hz. At present, the general power quality on-line monitoring device requires the number of detected harmonics to reach 50 times, that is, 2500 Hz. Generally, data sampling of 256 cycles per cycle is required to meet the sampling requirements. In this way, the points of 10 cycles reach 2560 points. If you...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01R23/16
Inventor 刘爱民郑有余肖碧涛郑龙文
Owner GUODIAN NANJING AUTOMATION