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Calculation method of quasi-synchronous DFT amplitude linear correction coefficient

A linear correction and calculation method technology, applied in the field of harmonic analysis, can solve the problems of untrustworthiness, large harmonic amplitude error of quasi-synchronous DFT algorithm, etc., and achieve the effect of simple algorithm

Pending Publication Date: 2019-08-02
JIANGSU UNIVERSITY OF TECHNOLOGY
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Problems solved by technology

It can be seen from the figure that the harmonic amplitude error of the quasi-synchronous DFT algorithm is extremely large and basically unreliable

Method used

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  • Calculation method of quasi-synchronous DFT amplitude linear correction coefficient
  • Calculation method of quasi-synchronous DFT amplitude linear correction coefficient
  • Calculation method of quasi-synchronous DFT amplitude linear correction coefficient

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Embodiment Construction

[0031] As shown in the figure, the quasi-synchronous DFT amplitude linear correction coefficient calculation method of the present invention includes 7 calculation steps:

[0032] Step 1. Δμ is in the range of [-30,30] and takes the value Δμ at an interval of 0.1 i , and according to the formula

[0033]

[0034] with

[0035]

[0036] Generate L=601 group A 1k data, and recorded as

[0037]

[0038] form;

[0039] Step 2, determine the positive integer M=10;

[0040] Step 3, according to Δμ i and M generate the array Δ;

[0041]

[0042] Step 4, according to the formula B=(Δ T Δ) -1 Δ T A

[0043] solve Step five, find the mean square error

[0044] Step 6. Increase the value of M to 20 one by one, repeat the above steps from Step 3 to Step 5, and record the corresponding G and B; Step 7, M and β to minimize G i That is, the amplitude linear correction coefficient of the quasi-synchronous DFT. When the integration method is the complex rectangular...

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Abstract

The invention relates to a harmonic analysis technology, in particular to a calculation method of a quasi-synchronous DFT amplitude linear correction coefficient. The method comprises the step of calculating linear correction coefficients M and i when a quasi-synchronous DFT linear correction formula shown in the specification is used for carrying out linear correction on harmonic analysis amplitudes of quasi-synchronous DFT, wherein the step of calculating the linear correction coefficients M and beta i comprises that 1, delta u is valued at delta mui at an interval of 0.1 in the range of [-30,30]; L=601 groups of A1k data are generated according to formulae shown in the specification and recorded in the form shown in the specification; 2, a positive integer M is determined to be 10; 3, an array delta is generated according to delta mui and M; 4, according to a formula shown in the specification, B is solved; 5, a mean square error shown in the specification is solved; 6, M value is increased to 20 one by one, the step 3 to the step 5 are repeated, and corresponding G and B are recorded; and 7, M and beta i with the minimum G are the amplitude linear correction coefficient of thequasi-synchronous DFT.

Description

technical field [0001] The invention relates to a harmonic analysis technology, in particular to a calculation method for a quasi-synchronous DFT amplitude linear correction coefficient. Background technique [0002] Harmonic analysis technology is widely used in many fields such as power quality monitoring, electronic product production inspection, and electrical equipment monitoring. It is an important technical means for power grid monitoring, quality inspection, and equipment monitoring. Currently, the most widely used techniques for harmonic analysis are discrete Fourier transform (DFT) and fast Fourier transform (FFT). The harmonic analysis technology combining quasi-synchronous sampling technology and DFT technology can improve the accuracy of harmonic analysis, and its formula is: [0003] [0004] [0005] In the formula: k is the number of harmonics that need to be obtained (such as fundamental wave k=1, 3 harmonics k=3); sin and cos are sine and cosine func...

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/20
Inventor 傅中君欧云周根元赵小荣洑涵妤
Owner JIANGSU UNIVERSITY OF TECHNOLOGY
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