Time shift phase difference steady harmonic signal correction method based on Nuttall window

A harmonic signal and correction method technology, applied in the field of harmonic analysis, can solve the problems of fast side lobe attenuation, low side lobe, narrow main lobe, etc., and achieve the effect of suppressing mutual interference and high calculation accuracy

Active Publication Date: 2015-03-04
STATE GRID CORP OF CHINA +1
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Problems solved by technology

[0003] In the discrete spectrum analysis of harmonic signals, the requirements for the window function are narrow main lobe, low side lobe, and fast side lobe attenuation. Specifically, for a certain window function, these requirements are contradictory and difficult to meet at the same time.

Method used

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  • Time shift phase difference steady harmonic signal correction method based on Nuttall window
  • Time shift phase difference steady harmonic signal correction method based on Nuttall window
  • Time shift phase difference steady harmonic signal correction method based on Nuttall window

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Experimental program
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Embodiment

[0100] The harmonic signal model adopted is

[0101] Where: Fundamental frequency f 1 50.5Hz, A m and They are the amplitude and initial phase angle of the mth harmonic, the sampling frequency is 5kHz, the data length N of the first and second segments of the truncated signal is 1024 points, about 10 cycles of data, the fundamental wave And the amplitude and phase angle of each harmonic are shown in Table 3.

[0102] Table 3 Fundamental wave and harmonic parameters

[0103]

[0104] Select the Nuttall window length M=1024, respectively use 3 items of 1st order, 3 items of minimum side lobe, 4 items of 1st order, and 4 items of 3rd order Nuttall window, the data length is N=2M=2048, the error simulation results of amplitude and phase Such as Table 4, Table 5.

[0105] Table 4 Amplitude relative error comparison (percentage)

[0106]

[0107]

[0108] Table 5 Phase relative error comparison (percentage)

[0109]

[0110] Table E A Indicates the error perce...

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Abstract

The invention relates to a time shift phase difference steady harmonic signal correction method based on a Nuttall window and belongs to the harmonic wave analysis field; the method adopts the Nuttall window for weighting the harmonic signal and combines the phase difference correction theory for obtaining the frequency correction amount for correcting and analyzing the harmonic wave. The time shift phase difference steady harmonic signal correction method based on the Nuttall window can restrain the base wave caused by the spectrum leakage and the mutual interference among the integer harmonic waves, compared with the harmonic wave analysis specific value correction method and the other window parameter, the time shift phase difference steady harmonic signal correction method based on the Nuttall window can obtain higher calculation precision at the same signal truncation time.

Description

technical field [0001] The invention belongs to the field of harmonic analysis, and relates to a time-shift phase difference steady-state harmonic signal correction method based on a Nuttall window. Background technique [0002] Fast Fourier Transform (FFT) is easy to implement in embedded digital signal systems and is the main method for harmonic analysis. However, it is difficult to achieve synchronous sampling and full cycle truncation when FFT is used for power harmonic analysis, and the resulting spectrum leakage will affect the accuracy of harmonic analysis. In order to reduce the harmonic analysis error, scholars at home and abroad have proposed FFT algorithms with window interpolation, such as rectangular window, Hanning window, Blackman window, Rife-Vincent (I) window and Nuttall window, etc., which can suppress the spectrum leakage to a certain extent. Improved harmonic analysis accuracy. [0003] In the discrete spectrum analysis of harmonic signals, the require...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01R23/16
Inventor 夏维建蒋芸霜
Owner STATE GRID CORP OF CHINA
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