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Optimal base frequency estimation of an electrical signal based on Prony’s estimator and a FIR filter

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  • Lewandowski, Michał
  • Walczak, Janusz

Abstract

In the frequency domain modeling of power supplying networks, it is usually necessary to determine the frequency spectrum of the currents flowing through the nonlinear devices (Arrillaga and Watson, 2003; Das, 2015; Lewandowski and Walczak, 2014). The spectrum estimation can be done in many different ways (Lewandowski and Walczak, 2014; Łobos and Rezmer, 1997; Ray et al., 2016). In work (Lewandowski and Walczak, 2014) a spectrum estimation method has been proposed, which has better accuracy in comparison with other competitive methods like WIFTA (Window Interpolated Fourier Transform) or TDQS (Time Domain Quasi-Synchronous Sampling), while maintaining a low demand for computing power. The accuracy of this method depends on two main factors: the accuracy of the fundamental frequency estimation and the accuracy of the signal interpolation in the resampling process. For the estimation of the fundamental frequency, the method uses a first order Prony’s estimator (Łobos and Rezmer, 1997) and a band-pass FIR (Finite Impulse Response) filter.

Suggested Citation

  • Lewandowski, Michał & Walczak, Janusz, 2018. "Optimal base frequency estimation of an electrical signal based on Prony’s estimator and a FIR filter," Applied Mathematics and Computation, Elsevier, vol. 319(C), pages 551-561.
    • Handle: RePEc:eee:apmaco:v:319:y:2018:i:c:p:551-561
    DOI: 10.1016/j.amc.2017.06.004
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    1. Bischl, Bernd & Ligges, Uwe & Weihs, Claus, 2009. "Frequency estimation by DFT interpolation: a comparison of methods," Technical Reports 2009,06, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    2. Lewandowski, M. & Walczak, J., 2015. "Analysis of the impact of interpolator’s order on the accuracy of electric current spectrum estimation method in the presence of noise," Applied Mathematics and Computation, Elsevier, vol. 267(C), pages 554-561.
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