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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.
Reinbacher-Köstinger, A.; Gschwentner, A.; Mušeljić, E.; Kaltenbacher, M.
Optimization of Sensor Placement for a Measurement System for the Determination of Local Magnetic Material Properties. Mathematics2024, 12, 2220.
https://doi.org/10.3390/math12142220
AMA Style
Reinbacher-Köstinger A, Gschwentner A, Mušeljić E, Kaltenbacher M.
Optimization of Sensor Placement for a Measurement System for the Determination of Local Magnetic Material Properties. Mathematics. 2024; 12(14):2220.
https://doi.org/10.3390/math12142220
Chicago/Turabian Style
Reinbacher-Köstinger, Alice, Andreas Gschwentner, Eniz Mušeljić, and Manfred Kaltenbacher.
2024. "Optimization of Sensor Placement for a Measurement System for the Determination of Local Magnetic Material Properties" Mathematics 12, no. 14: 2220.
https://doi.org/10.3390/math12142220
Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.
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Reinbacher-Köstinger, A.; Gschwentner, A.; Mušeljić, E.; Kaltenbacher, M.
Optimization of Sensor Placement for a Measurement System for the Determination of Local Magnetic Material Properties. Mathematics2024, 12, 2220.
https://doi.org/10.3390/math12142220
AMA Style
Reinbacher-Köstinger A, Gschwentner A, Mušeljić E, Kaltenbacher M.
Optimization of Sensor Placement for a Measurement System for the Determination of Local Magnetic Material Properties. Mathematics. 2024; 12(14):2220.
https://doi.org/10.3390/math12142220
Chicago/Turabian Style
Reinbacher-Köstinger, Alice, Andreas Gschwentner, Eniz Mušeljić, and Manfred Kaltenbacher.
2024. "Optimization of Sensor Placement for a Measurement System for the Determination of Local Magnetic Material Properties" Mathematics 12, no. 14: 2220.
https://doi.org/10.3390/math12142220
Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.