IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i14p2220-d1436236.html
   My bibliography  Save this article

Optimization of Sensor Placement for a Measurement System for the Determination of Local Magnetic Material Properties

Author

Listed:
  • Alice Reinbacher-Köstinger

    (Institute of Fundamentals and Theory in Electrical Engineering, Graz University of Technology, Inffeldgasse 18, 8010 Graz, Austria)

  • Andreas Gschwentner

    (Institute of Fundamentals and Theory in Electrical Engineering, Graz University of Technology, Inffeldgasse 18, 8010 Graz, Austria)

  • Eniz Mušeljić

    (Institute of Fundamentals and Theory in Electrical Engineering, Graz University of Technology, Inffeldgasse 18, 8010 Graz, Austria)

  • Manfred Kaltenbacher

    (Institute of Fundamentals and Theory in Electrical Engineering, Graz University of Technology, Inffeldgasse 18, 8010 Graz, Austria)

Abstract

The aim of this work is to optimize the sensor positions of a sensor–actuator measurement system for identifying local variations in the magnetic permeability of cut steel sheets. Before solving the actual identification problem, i.e., finding the material distribution, the sensor placement of the measurement setup should be improved in order to reduce the uncertainty of the identification of the material distribution. The Fisher information matrix (FIM), which allows one to quantify the amount of information that the measurements carry about the unknown parameters, is used as the main metric for the objective function of this design optimization. The forward problem is solved by the finite element method. The results show that the proposed method is able to find optimal sensor positions as well as the minimum number of sensors to achieve a desired maximum parameter uncertainty.

Suggested Citation

  • Alice Reinbacher-Köstinger & Andreas Gschwentner & Eniz Mušeljić & Manfred Kaltenbacher, 2024. "Optimization of Sensor Placement for a Measurement System for the Determination of Local Magnetic Material Properties," Mathematics, MDPI, vol. 12(14), pages 1-15, July.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:14:p:2220-:d:1436236
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/14/2220/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/12/14/2220/
    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:12:y:2024:i:14:p:2220-:d:1436236. 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.