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An Effective Harmonic Parameters Estimation Algorithm Based on Transformed FFT Sequence

Published: 30 May 2020 Publication History

Abstract

In the practical harmonic analysis, the classical windowed interpolation methods usually have low estimation accuracy and high implementation complexity. Based on the analysis of attenuation characteristics of the fast Fourier transform (FFT) sequence, a novel harmonic analysis method with high precision by using a simple transformation is introduced. Our algorithm performs a simple transformation on the original FFT sequence, which reduces the interference among different spectral lines, and thus effectively suppresses the spectrum leakage. Based on this, the estimation formulas for the amplitude and phase are derived. The simulation results show that the proposed algorithm can effectively improve the accuracy of parameter estimation. In addition, compared with the classical windowed interpolation methods, the new method has lower computation complexity.

References

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A. Medina, J. Segundo-Ramirez, P. Ribeiro, W. Xu, K.L. Lian, G.W. Chang, et al (2013). Harmonic analysis in frequency and time domain. IEEE Transactions on Power Delivery, 28(3), 1813--1821.
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He Wen, Zhaosheng Teng, Yong Wang, Bo Zeng and Xiaoguang Hu (2011). Simple interpolated FFT algorithm based on minimize sidelobe windows for power-harmonic analysis. IEEE Transactions on Power Electronics, 26(9), 2570--2579.
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Ruimiao Zhai, Chao Ying, Guochen Ren and Yan Zhang (2015). An approach for harmonic analysis based on Nuttall window and triple-spectral-line interpolation. Power System Protection and Control, 43(10), 38--43.(in Chinese)
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Okarma Krzysztof (2007). Polynomial windows with low sidelobes' level. Signal Processing, 87(4), 782--788.
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Dusan Agrez (2002). Weighted multipoint interpolated DFT to improve amplitude estimation of multifrequency signal. IEEE Transactions on Instrumentation and Measurement, 51(2), 287--292.
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Cited By

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  • (2024)FPGA-Based Multi-Channel Real-Time Data Acquisition SystemElectronics10.3390/electronics1315295013:15(2950)Online publication date: 26-Jul-2024
  • (2022)High-Precision ADC Spectrum Testing under Non-Coherent Sampling ConditionsSensors10.3390/s2221817022:21(8170)Online publication date: 25-Oct-2022

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cover image ACM Other conferences
ICITEE '19: Proceedings of the 2nd International Conference on Information Technologies and Electrical Engineering
December 2019
870 pages
ISBN:9781450372930
DOI:10.1145/3386415
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 30 May 2020

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Author Tags

  1. Amplitude estimation
  2. High-precision harmonic analysis
  3. Phase estimation
  4. Sequence transformation
  5. Spectrum leakage

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  • Research-article
  • Research
  • Refereed limited

Funding Sources

  • the Research Innovation Fund for the Postgraduates of Jishou University
  • the National Natural Science Foundation of China
  • the Natural Science Foundation of Hunan Province of China
  • the Scientific Research Funds for the Postgraduates of Jishou University
  • the project of Hunan Provincial Department of Education

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ICITEE-2019

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Cited By

View all
  • (2024)FPGA-Based Multi-Channel Real-Time Data Acquisition SystemElectronics10.3390/electronics1315295013:15(2950)Online publication date: 26-Jul-2024
  • (2022)High-Precision ADC Spectrum Testing under Non-Coherent Sampling ConditionsSensors10.3390/s2221817022:21(8170)Online publication date: 25-Oct-2022

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