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Harmonic Parameter Online Estimation in Power System Based on Hann Self-Convolving Window and Equidistant Two-Point Interpolated DFT

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Abstract

A revised interpolated DFT is proposed to estimate the harmonic parameters accurately. Firstly, a 4-order Hann self-convolving window is employed to restrain the interferences caused by spectral leakage and sidelobes. The corresponding error can be restrained at a degree of 10−15 theoretically. Then, an equidistant two-point interpolated formula is proposed to deal with the picket-fence effect. It avoids the systematic error caused by the polynomial fitting in common interpolation method. For estimating precision, the theoretical relative errors of harmonic parameters would approximate 10−11. The relative frequency error of the fundamental wave is about 10−7 in a 50-dB-noise environment. Moreover, in a 20-dB-noise background, the signal reconstructed could reduce the variances to 0.001 of its own, which is feasible and useful in practical harmonic detection.

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Acknowledgements

This work is supported by: (1) The National Natural Science Foundation of China (Grant No.: 51707102). (2) The Research Fund for Excellent Dissertation of China Three Gorges University (Grant No.: 2018SSPY069).

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Authors and Affiliations

  1. China Three Gorges University, College of Electrical Engineering and New Energy, Yichang, China

    Yanchun Xu, Yufei Du, Zhenxing Li & Lei Xi

  2. The State Grid Hubei Corporation Maintenance Company, Yichang, China

    Yulong Liu

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  1. Yanchun Xu
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  2. Yufei Du
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  3. Zhenxing Li
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  4. Lei Xi
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  5. Yulong Liu
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Correspondence to Yufei Du.

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Xu, Y., Du, Y., Li, Z. et al. Harmonic Parameter Online Estimation in Power System Based on Hann Self-Convolving Window and Equidistant Two-Point Interpolated DFT. MAPAN 35, 69–79 (2020). https://doi.org/10.1007/s12647-019-00344-6

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  • DOI: https://doi.org/10.1007/s12647-019-00344-6

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