IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v15y2022i19p7259-d932431.html
   My bibliography  Save this article

Piecewise Affine Magnetic Modeling of Permanent-Magnet Synchronous Machines for Virtual-Flux Control

Author

Listed:
  • Bernard Steyaert

    (Department of Electrical Engineering, Columbia University, New York, NY 10027, USA)

  • Ethan Swint

    (Tau Motors, Inc.; Redwood City, CA 94063, USA)

  • W. Wesley Pennington

    (Tau Motors, Inc.; Redwood City, CA 94063, USA)

  • Matthias Preindl

    (Department of Electrical Engineering, Columbia University, New York, NY 10027, USA)

Abstract

Accurate flux linkage magnetic models are essential for virtual-flux controllers in PMSMs. Flux linkage exhibits saturation and cross-saturation at high currents, introducing nonlinearities into the machine model. Virtual-flux controllers regulate the flux of a machine by using field-oriented control, such as model predictive control. In this study, a methodology for creating a piecewise affine flux linkage magnetic model is proposed which locally linearizes the inductance and flux offset of the machine. This method keeps the magnetic model and thus the state-space model of the system linear while capturing the saturation effects, enabling robust controls and efficient operation. The model is created using FEA-simulated data points and verified with experimental datapoints. An algorithm to optimize the model in MTPA and derated operation is presented with an average flux error less than 1 % and maximum error less than 3 % using only 40 points. This represents a ≈ 1–3% and ≈5–8% reduction in the average and maximum flux errors compared with a regularly gridded model, respectively.

Suggested Citation

  • Bernard Steyaert & Ethan Swint & W. Wesley Pennington & Matthias Preindl, 2022. "Piecewise Affine Magnetic Modeling of Permanent-Magnet Synchronous Machines for Virtual-Flux Control," Energies, MDPI, vol. 15(19), pages 1-14, October.
    • Handle: RePEc:gam:jeners:v:15:y:2022:i:19:p:7259-:d:932431
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/15/19/7259/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/15/19/7259/
    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:jeners:v:15:y:2022:i:19:p:7259-:d:932431. 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.