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

Alice Reinbacher-Köstinger (), Andreas Gschwentner, Eniz Mušeljić and Manfred Kaltenbacher
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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

Mathematics, 2024, vol. 12, issue 14, 1-15

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.

Keywords: sensor placement optimization; Fisher information; magnetic material properties; parameter identification (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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