Impact of harmonics on the interpolated DFT frequency estimator

Belega, Daniel; Petri, Dario; Dallet, Dominique

doi:10.1016/j.ymssp.2015.05.025

Cited by 23 publications

(9 citation statements)

References 29 publications

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“…leading to (16). The approximation sign is used instead of equality, because the ratios might differ due to spectral leakage [21].…”

Section: Solution Of the Ipdft Problem Using The Cosine Windowmentioning

confidence: 99%

“…Sine-fitting techniques [13], as well as compressive sensing [14] and lookup tables [15] have been investigated too. In [16] an IpDFT-based method that compensates the spectral interference generated by both the image component of the main tone and harmonic tones is presented. To the best of the Authors knowledge, [16] is the only contribution that takes into account tones other than the fundamental one, however such investigation disregards interharmonic tones like those defined in the OOBI test.…”

Section: Introductionmentioning

confidence: 99%

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Iterative-Interpolated DFT for Synchrophasor Estimation: A Single Algorithm for P- and M-Class Compliant PMUs

Derviškadić

Romano

Paolone

2018

IEEE Trans. Instrum. Meas.

146

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Abstract-We present a single synchrophasor estimation (SE) algorithm that is simultaneously compliant with both P and M Phasor Measurement Unit (PMU) performance classes. The method, called iterative-Interpolated DFT (i-IpDFT), iteratively estimates and compensates the effects of the spectral interference produced by both a generic interfering tone, harmonic or interharmonic, and the negative image of the fundamental tone. We define the 3-points i-IpDFT technique for cosine and Hanning window functions and we propose a procedure to select the iIpDFT parameters. We assess the performance of the i-IpDFT with respect to all the operating conditions defined in the IEEE Std. C37.118 for P and M-class PMUs. We demonstrate that the proposed SE method is simultaneously compliant with all the accuracy requirements of both PMU performance classes.

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“…leading to (16). The approximation sign is used instead of equality, because the ratios might differ due to spectral leakage [21].…”

Section: Solution Of the Ipdft Problem Using The Cosine Windowmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Iterative-Interpolated DFT for Synchrophasor Estimation: A Single Algorithm for P- and M-Class Compliant PMUs

Derviškadić

Romano

Paolone

2018

IEEE Trans. Instrum. Meas.

146

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“…Window functions, including Triangular, Bartlett, Welch, Hann, Hamming, and Blackman, are good choices to mitigate leakage in the measured FFT. In this study, Hann window [39][40][41] was selected.…”

Section: Experiments Setup and Proceduresmentioning

confidence: 99%

Study on the Effect of Flame Instability on the Flame Structural Characteristics of Hydrogen/Air Mixtures Based on the Fast Fourier Transform

Jiang

et al. 2017

Energies

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Abstract:In this study, the effect of flame intrinsic instability on the flame structural characteristics of hydrogen/air mixtures premixed at various equivalence ratios were experimentally investigated from the macroscopic and microscopic perspectives, respectively. The correlation degree and the relative deformation degree were defined to quantitatively study the global flame structural characteristics. Peak detection was used to capture the characteristic length of the flame and fast Fourier transform was adopted to study the components of the fluctuation of the flame front. The results show that with the development of flames, the wrinkles in the flame front increase and the correlation degree of the flame decreases. The relative deformation degree of the flame first decreases and then increases. When the equivalence ratio is 0.6, the average characteristic length initially exhibits an increasing trend, followed by a decreasing trend. The average characteristic length scale gradually increases, and the growth rate gradually decreases when the equivalence ratio ranges from 0.70 to 0.99. With the increase in the wavenumber, the amplitude of the corresponding disturbance exhibited an increasing trend followed by a decreasing one. With the development of the flame, the maximum amplitude of the disturbance shows a reverse trend, i.e., first decreasing and then increasing. The disturbances with smaller wavelengths could be further developed.

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“…However, the effectiveness of windowing on short-range leakage is very low, such that the influence of nearby interfering tones on the estimated parameters can be significant. When the classical IpDFT algorithm based on an MSD window is applied, expressions for the frequency error and the amplitude and phase errors due to short-range interference from both the image component and harmonics have been derived in [23] and [24], respectively. However, reallife sine-waves are also affected by interharmonics.…”

Section: Introductionmentioning

confidence: 99%

Contribution of an interharmonic component to the sine-wave parameters estimators returned by the interpolated Discrete Fourier transform algorithm

Belega¹,

Petri²,

Dallet³

2020

ACTA IMEKO

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<p class="Abstract">This article investigates the contribution of a small-amplitude interharmonic component to the sine-wave parameter estimators returned by the classical interpolated discrete Fourier transform (IpDFT) algorithm. The analytical expressions for the frequency, amplitude, and phase estimation errors are derived herein by considering the IpDFT algorithm based on the maximum sidelobe decay (MSD) windows and by assuming the interharmonic frequency located at least one bin apart the unknown sine-wave frequency. The derived expressions allow us to analyse the impact of an interharmonic on the accuracies of the IpDFT frequency, amplitude, and phase estimators. The accuracies of the derived expressions are verified by means of both computer simulations and experimental results.</p>

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Impact of harmonics on the interpolated DFT frequency estimator

Abstract: Abstract

Cited by 23 publications

References 29 publications

Iterative-Interpolated DFT for Synchrophasor Estimation: A Single Algorithm for P- and M-Class Compliant PMUs

Iterative-Interpolated DFT for Synchrophasor Estimation: A Single Algorithm for P- and M-Class Compliant PMUs

Study on the Effect of Flame Instability on the Flame Structural Characteristics of Hydrogen/Air Mixtures Based on the Fast Fourier Transform

Contribution of an interharmonic component to the sine-wave parameters estimators returned by the interpolated Discrete Fourier transform algorithm

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