Skip to main content
Springer Nature Link
Log in

High-Precision Harmonic Analysis Algorithm Based on Five-Term MSD Second-Order Self-Convolution Window Four-Spectrum-Line Interpolation

  • Published:
Mobile Networks and Applications Aims and scope Submit manuscript

Abstract

For the frequency spectrum leakage and fence effect generated in Fast Fourier Transform (FFT) during asynchronous sampling and integral period truncation affect the precision of harmonic detection, a new algorithm for harmonic analysis based on four-spectrum-line interpolation FFT with second-order self-convolution window with five-term Maximum-Sidelobe-Decay (MSD) was proposed and the polynomial fitting method was used to construct the four-spectrum-line interpolation correction formula. The simulation results showed that this algorithm could improve the detection accuracy of amplitude, phase and frequency by 1–2 orders of magnitude compared with other commonly used windowed interpolation algorithms.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

References

  1. He WEN, Zhaosheng TENG, Siyu GUO (2010) Triangular self-convolution window with desirable side lobe behaviors for harmonic analysis of power system[J]. IEEE Transactions on Instrumentation & Measurement 59(3):543–552

    Article  Google Scholar 

  2. Bo ZENG (2011) Parameter estimation of power system signals based on cosine self-convolution window with desirable side-lobe behaviors[J]. IEEE Transactions on Power Delivery 26(1):250–257

    Article  Google Scholar 

  3. Nuttall A (2003) Some windows with very good sidelobe behavior[J].IEEE transactions on acoustics. Speech,and Signal Processing 29(1):84–91

    Article  Google Scholar 

  4. Junmin Z, Kaipei L, Wang L, Wenjuan C (2017) A rapid algorithm for harmonic analysis based on four-spectrum-line interpolation FFT [J]. Power System Protection and Control 45(01):139–145

    Google Scholar 

  5. Liping S, Xie Q, Ma X (2017) High accuracy analysis of harmonic algorithm based on 5-term maximum-sidelobe-decay window and triple-spectrum-line interpolation [J]. Power System Protection and Control 45(07):108–113

    Google Scholar 

  6. Xue N, Yang S, Tianze L, Jiazhen Q (2018) Electrical harmonic analysis based on five-term MSD-rife window and four-spectrum-line interpolation FFT [J]. Hydropower Energy Science 36(10):177–180

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Electronics & Information Engineering, Heilongjiang University of Science & Technology, Harbin, 150022, China

    Qingjiang Yang & Xiangxiang Qu

Authors
  1. Qingjiang Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Xiangxiang Qu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Xiangxiang Qu.

Additional information

Publisher’s note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yang, Q., Qu, X. High-Precision Harmonic Analysis Algorithm Based on Five-Term MSD Second-Order Self-Convolution Window Four-Spectrum-Line Interpolation. Mobile Netw Appl 28, 579–585 (2023). https://doi.org/10.1007/s11036-020-01606-3

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11036-020-01606-3

Keywords