IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i3p345-d731894.html
   My bibliography  Save this article

An Exact Solution to the Modified Winding Function for Eccentric Permanent Magnet Synchronous Machines

Author

Listed:
  • Carsten Klein

    (Laboratory of Actuation Technology, Saarland University, 66123 Saarbrücken, Germany)

  • Mira Pinter

    (Laboratory of Actuation Technology, Saarland University, 66123 Saarbrücken, Germany)

  • Marco Palmieri

    (Department of Electrical Engineering and Information Technology, Politecnico di Bari, 70126 Bari, Italy)

  • Matthias Nienhaus

    (Laboratory of Actuation Technology, Saarland University, 66123 Saarbrücken, Germany)

  • Emanuele Grasso

    (Laboratory of Actuation Technology, Saarland University, 66123 Saarbrücken, Germany)

Abstract

The Winding Function Approach has been used since 1965 to describe the inductance behavior of small air-gap electrical machines, and several works have contributed to its formulation in the presence of mechanical faults, such as eccentricity, leading to the Modified Winding Function Approach (MWFA). In order to use the MWFA, an integral over a full rotation period needs to be computed. Nevertheless, this typically requires the performance of numerical integration, and thus it is affected by integration error, requires relatively high computational effort and, at the same time, it does not easily allow for performance of the analysis of the inductance harmonics. In this work, an exact analytical solution to the MWFA equation is provided in a form that allows to highlight the harmonic content of the inductances. After a thorough mathematical derivation of the solution, a numerical investigation is proposed for verification purposes.

Suggested Citation

  • Carsten Klein & Mira Pinter & Marco Palmieri & Matthias Nienhaus & Emanuele Grasso, 2022. "An Exact Solution to the Modified Winding Function for Eccentric Permanent Magnet Synchronous Machines," Mathematics, MDPI, vol. 10(3), pages 1-28, January.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:3:p:345-:d:731894
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/3/345/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/3/345/
    Download Restriction: no
    ---><---

    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:gam:jmathe:v:10:y:2022:i:3:p:345-:d:731894. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.