Accurate Frequency Estimation by Using Three-Point Interpolated Discrete Fourier Transform Based on Rectangular Window

Kai, Wu; Wen, He; Li, Guoqing

doi:10.1109/tii.2020.2981542

Cited by 42 publications

(11 citation statements)

References 30 publications

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“…Fig. 5 shows graphically the relationship between ( 13), (18), and (21). From a diagnostic point of view, it is clear that the fault harmonics are better identified in the cDFT spectrum (Fig.…”

Section: Conventional Coarse Dft (Cdft) Of the Current Signalmentioning

confidence: 97%

“…This approach was termed as the interpolated FFT (IFFT) in [16]. In [17] and [18] a three-point interpolation schema is proposed to reduce the amplitude error about ten times compared with the usual one-point method, and in [19] it has been expanded to a nine-point method, which decreases systematic errors but increases noise distortion. An iterative weighted phase averager (IWPA) has been presented in [20], which can even distinguish sinusoids with a frequency separation smaller than the periodogram's resolution limit.…”

Section: Introductionmentioning

confidence: 99%

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New Method for Spectral Leakage Reduction in the FFT of Stator Currents: Application to the Diagnosis of Bar Breakages in Cage Motors Working at Very Low Slip

Puche-Panadero

Martínez-Román

Sapena-Bañó

et al. 2021

IEEE Trans. Instrum. Meas.

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Section: Conventional Coarse Dft (Cdft) Of the Current Signalmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

New Method for Spectral Leakage Reduction in the FFT of Stator Currents: Application to the Diagnosis of Bar Breakages in Cage Motors Working at Very Low Slip

Puche-Panadero

Martínez-Román

Sapena-Bañó

et al. 2021

IEEE Trans. Instrum. Meas.

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“…On the other hand, the methods based in the Interpolated Discrete Fourier Transform (IpDFT) [23][24][25][26][27] have been highlighted by presenting low computational complexity. These methods estimate the magnitude and phase of each interharmonic with high accuracy when there is no frequency deviation.…”

Section: Introductionmentioning

confidence: 99%

Harmonic and Interharmonic Estimation Based on Re-Sampling and IpDFT Methods

Monteiro

Rodrigues

Ferreira

et al. 2023

Preprint

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Harmonic and interharmonic estimation is essential for Power System monitoring, particularly for Power Quality (PQ) analysis. These components can interfere with the device functionality, leading to motor heating and energy consumption inefficiency. Usually, the estimation of these components is performed by Fourier Transform; however, the estimation accuracy can decrease in specific scenarios. If the sampled signal is asynchronous or is composed of interharmonics, for example, the energy is spread along the frequency spectrum, causing estimation errors. In this context, this work proposes an innovative method to estimate the harmonic and interharmonic, combining a re-sampling method, based on B-spline with a pre-filter, and Interpolated Discrete Fourier Transform (IpDFT) to avoid the leakage caused by asynchronous sampling and interharmonics. Three real-time re-sampling methods combined with IpDFT are analyzed via simulated voltage signals. The results show that the proposed method is accurate, and robust for all scenarios.

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“…Besides that, spectral leakage can be solved by introducing a window function, and the fence effect can be solved by interpolating the signal. Therefore, various methods of window interpolation have been proposed, such as the rectangular window, Hanning window, Nuttall window, and Triangular self-convolution window [ 9 , 10 , 11 , 12 ]. However, these window functions increase the side-flap attenuation at the expense of the main-flap width, limiting the range of frequency measurements.…”

Section: Introductionmentioning

confidence: 99%

Dense-Frequency Signal-Detection Based on the Primal–Dual Splitting Method

Zheng

Liao

et al. 2022

Entropy

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Aiming to solve the problem of dense-frequency signals in the power system caused by the growing proportion of new energy, this paper proposes a dense-frequency signal-detection method based on the primal–dual splitting method. After establishing the Taylor–Fourier model of the signal, the proposed method uses the sparse property of the coefficient matrix to obtain the convex optimization form of the model. Then, the optimal solution of the estimated phasor is obtained by iterating over the fixed-point equation, finally acquiring the optimal estimation result for the dense signal. When representing the Taylor–Fourier model as a convex optimization form, the introduction of measuring-error entropy makes the solution of the model more rigorous. It can be further verified through simulation experiments that the estimation accuracy of the primal–dual splitting method proposed in this paper for dense signals can meet the M-class PMU accuracy requirements.

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Accurate Frequency Estimation by Using Three-Point Interpolated Discrete Fourier Transform Based on Rectangular Window

Cited by 42 publications

References 30 publications

New Method for Spectral Leakage Reduction in the FFT of Stator Currents: Application to the Diagnosis of Bar Breakages in Cage Motors Working at Very Low Slip

New Method for Spectral Leakage Reduction in the FFT of Stator Currents: Application to the Diagnosis of Bar Breakages in Cage Motors Working at Very Low Slip

Harmonic and Interharmonic Estimation Based on Re-Sampling and IpDFT Methods

Dense-Frequency Signal-Detection Based on the Primal–Dual Splitting Method

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