High-precision harmonic parameter estimation method based on sliding window DFT

A parameter estimation and high-precision technology, which is applied in the field of harmonic analysis of power system signals, can solve problems that affect the accuracy of harmonic analysis, fail to achieve the estimation effect, and huge calculation burden, so as to achieve enhanced robustness and robust anti-noise The effect of performance advantage and computational complexity advantage

Active Publication Date: 2018-05-15
南京福致通电气自动化有限公司 +1
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Problems solved by technology

However, it has inherent shortcomings such as frequency aliasing, spectrum leakage, and fence effects, which affect the accuracy of harmonic analysis.
Improvements such as windowing and interpolation can reduce the estimation error caused by spectrum leakage and fence effects to a certain extent, but when the frequency intervals of the harmonic components are relatively close, such methods cannot work effectively
In order to improve the estimation accuracy, the iterative DFT algorithm came into

Method used

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  • High-precision harmonic parameter estimation method based on sliding window DFT
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  • High-precision harmonic parameter estimation method based on sliding window DFT

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Embodiment Construction

[0030] The present invention will be further explained below in conjunction with the accompanying drawings.

[0031] A high-precision harmonic parameter estimation method based on sliding window Fourier transform (SWDFT). The multi-frequency signal of the power system under the noise background is:

[0032]

[0033] In the formula, s(t) represents the pure harmonic signal part containing the fundamental frequency component at time t, and q(t) represents the mean value is 0 and the variance is Additive white noise of , M is the number of harmonics, f m 、a m and φ m Respectively represent the frequency, amplitude and phase corresponding to the mth harmonic.

[0034] with period T s The signal is discretely sampled to obtain a discrete sequence x(n) of L points:

[0035]

[0036] where ω m = 2πf m T s , s(n) is the pure multi-frequency harmonic signal in the model at time n, and q(n) is the additive white Gaussian noise part in the model. Since each sinusoidal com...

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Abstract

The invention discloses a high-precision harmonic parameter estimation method based on sliding window DFT (Discrete Fourier Transform), which is suitable for estimating the harmonic components of a power system. After SWDFT is carried out on a power grid signal containing harmonic components in the power system, the transformation result has the same linear relationship as the original time domainsignal, namely, the transformed sequence still retains the mathematical structure of a multi-frequency signal, so that parameters can be estimated by using the existing harmonic analysis model. In addition, SWDFT enhances the signal-to-noise ratio of each component, and suppresses the interference of noise on the estimation performance. In the method, SWDFT is carried out on a harmonic signal inthe time domain first, and then, a Prony algorithm is adopted for the transformation result to obtain the estimated values of the frequency, amplitude and phase of each harmonic component of the signal. In order to enhance the estimation performance and robustness of the algorithm, a complex least squares (PLS) criterion is introduced to expand the original Prony algorithm. Therefore, the precision of parameter estimation is improved.

Description

technical field [0001] The present invention relates to a method for estimating harmonic parameters of stationary periodic signals, specifically a method for estimating harmonic parameters with high precision based on sliding window Fourier transform (SWDFT) and Prony algorithm, which is used for estimating harmonic frequency , amplitude and phase parameters, belonging to the technical field of power system signal harmonic analysis. Background technique [0002] With the development of power electronics technology and the expansion of industrial production, electronic components and nonlinear loads in power systems are increasing. While nonlinear loads bring huge economic benefits, they also inject a large number of high-order harmonics into the power grid. Many hazards, such as motor overheating, power system relay protection abnormality, transmission line loss increase, etc. At present, the treatment of harmonics mostly adopts the measures of injecting the corresponding ...

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Application Information

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IPC IPC(8): G01R23/16
CPCG01R23/16
Inventor 王开薛峰张琳谢庆明
Owner 南京福致通电气自动化有限公司
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