Uncertainty analysis of the normalized frequency estimation of a sine wave by three-point Interpolated DFT method

Belega, Daniel; Stoiciu, Dan; Dallet, Dominique

doi:10.1109/amuem.2008.4589940

Cited by 8 publications

(7 citation statements)

References 10 publications

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“…For k 0 > 14 when SNR = 60 dB and for k 0 > 45 when SNR = 90 dB the effect of the wideband noise is much higher than that of the spectral interference. In this case the IpDFT method provides the best estimates, except the situations in which the values of d are close to zero, where the other methods performed the best [20].…”

Section: Average-based Ipdft Methods Versus Other Ipdft Methodsmentioning

confidence: 82%

“…Fig. 3 shows the combined standard uncertainty r c provided by the expression (20) and computer simulations as a function of k 0 when the two-term (Fig. 3a) and the threeterm (Fig.…”

Section: Computer Simulationsmentioning

confidence: 99%

“…In this section the accuracies of the expressions (14), (19), and (20) are verified by means of computer simulations. In all simulations the sine-wave amplitude, A, was set to 2 and the number of analyzed samples, M, was set to 1024.…”

Section: Computer Simulationsmentioning

confidence: 99%

“…Hence, the expression (20) can be used to determine the value of H, which ensures the minimum value of r c , i.e. the optimal window which should be selected.…”

Section: Combined Standard Uncertaintymentioning

confidence: 99%

“…The correlation coefficient q 1 is given by [20]: Since the integer part l is assumed high enough the spectral interference from the image component can be neglected. Hence, for a, b, and c the following expressions can be achieved: þ 4d 2 þ 16Hd 2 q 1 À 2ðH 2 À d 2 Þ 2 q 2 r 2 n : ðB:15Þ…”

mentioning

confidence: 99%

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Accuracy analysis of the normalized frequency estimation of a discrete-time sine-wave by the average-based interpolated DFT method

Belega

2013

Measurement

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Section: Average-based Ipdft Methods Versus Other Ipdft Methodsmentioning

confidence: 82%

“…Fig. 3 shows the combined standard uncertainty r c provided by the expression (20) and computer simulations as a function of k 0 when the two-term (Fig. 3a) and the threeterm (Fig.…”

Section: Computer Simulationsmentioning

confidence: 99%

Section: Computer Simulationsmentioning

confidence: 99%

“…Hence, the expression (20) can be used to determine the value of H, which ensures the minimum value of r c , i.e. the optimal window which should be selected.…”

Section: Combined Standard Uncertaintymentioning

confidence: 99%

mentioning

confidence: 99%

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Accuracy analysis of the normalized frequency estimation of a discrete-time sine-wave by the average-based interpolated DFT method

Belega

2013

Measurement

Self Cite

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A Fourier-based single phase PLL algorithm: Design, analysis, and implementation in FPGA controller

Malkhandi

Ghose²

2017

Int Trans Electr Energ Syst

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Summary Control of grid tied inverter attached to the distribution level single phase grid needs to be robust in order to be resilient to grid disturbances and dynamics, without dissension of output power quality. This calls for an improvement of existing synchronization techniques whose bedrock is the phase locked loop algorithm. The paper proposes a phase and frequency estimation technique which shows excellent performance to dynamic changes and has high distortion rejection capability. The technique used interpolated FFT which estimates the frequency followed by sample value adjustment which gives highly accurate phase estimate by transforming off‐nominal frequency samples into nominal data points. The technique being a discrete algorithm, system identification is performed to estimate the transfer function model upon which stability and dynamic analysis are performed. A comparative analysis with SOGI PLL, PARK PLL, TPFA PLL, and Fourier PLL shows the superiority of the proposed technique in terms of accurate steady and dynamic state estimation capacity during grid disturbance and faults. The study of the computational complexity and applicability in FPGA controller reveals the feasibility of implementation of the technique in low level FPGA controllers. The proposed algorithm has been implemented in NI cRIO FPGA controller to tap real‐time signals and control the inverter. Thus, this PLL is suitable for fault‐ride‐through operation of the inverter in feeding power to the distribution grid.

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Uncertainty analysis of the normalized frequency estimation by Multipoint Interpolated DFT Approach

Belega

Dallet

Petri

2009

2009 IEEE International Workshop on Advanced Methods for Uncertainty Estimation in Measurement

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Uncertainty analysis of the normalized frequency estimation of a sine wave by three-point Interpolated DFT method

Cited by 8 publications

References 10 publications

Accuracy analysis of the normalized frequency estimation of a discrete-time sine-wave by the average-based interpolated DFT method

Accuracy analysis of the normalized frequency estimation of a discrete-time sine-wave by the average-based interpolated DFT method

A Fourier-based single phase PLL algorithm: Design, analysis, and implementation in FPGA controller

Uncertainty analysis of the normalized frequency estimation by Multipoint Interpolated DFT Approach

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