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An algorithm for three-phase power system frequency measurement

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Abstract

A new algorithm for frequency measurement in an electric power system (EPS) under conditions of high harmonic distortions is presented. The algorithm is based on a combination of the Fourier method and zero-crossing technique which processes three-phase voltage signals at the site of the embedded digital relay. The Fourier method is used as a digital filter in order to form the calculated signals containing the fundamental frequency of the original signal. The zero-crossing technique is successively applied to the three-phase system formed by the three sine calculated components obtained by the Fourier method. The three-phase frequency measurement possesses better dynamic characteristics compared to the single-phase measurement. In addition, the three-phase measurement is more reliable since the algorithm allows frequency measurement even under conditions of single- or two-phase failures. By losing one or two input signals the algorithm loses only on dynamic performance but retains the stability and accuracy.

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Funding

The authors did not receive support from any organization for the submitted work.

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Authors and Affiliations

  1. Faculty of Electrical Engineering, University of Belgrade, Bulevar kralja Aleksandra 73, Belgrade, 11000, Serbia

    Željko R. Djurišić, Milenko B. Djurić & Veljko D. Papić

Authors
  1. Željko R. Djurišić
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  2. Milenko B. Djurić
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  3. Veljko D. Papić
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Contributions

ZD and VP wrote the main manuscript text and prepared all figures. MD as the oldest professor, supervised and actively took part in the whole research process. All authors reviewed the manuscript. In the process of revision ZD and VP prepared the revised version of the manuscript and MD supervised the whole process of revision.

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Correspondence to Veljko D. Papić.

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Appendix: A

Appendix: A

Here we present the list of algorithms, techniques and procedures for frequency estimation with appropriate references, which are usually used for frequency measurement in EPS.

See Table 2.

Table 2 List of the frequency estimation techniques with corresponding references
Full size table

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Djurišić, Ž.R., Djurić, M.B. & Papić, V.D. An algorithm for three-phase power system frequency measurement. Electr Eng (2024). https://doi.org/10.1007/s00202-024-02238-6

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