IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v319y2018icp551-561.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S009630031730406X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2017.06.004?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Marian Łukaniszyn & Łukasz Majka & Bernard Baron & Marcin Sowa & Krzysztof Tomczewski & Krzysztof Wróbel, 2024. "Practical Experiments with a Ready-Made Strategy for Energizing a Suitable Pre-Magnetized Three-Column Three-Phase Dy Transformer in Unloaded State for Inrush Current Computations," Energies, MDPI, vol. 17(10), pages 1-22, May.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:319:y:2018:i:c:p:551-561. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.