TY - JOUR
T1 - Optimization of Sensor Placement for a Measurement System for the Determination of Local Magnetic Material Properties
AU - Reinbacher-Köstinger, Alice
AU - Gschwentner, Andreas
AU - Museljic, Eniz
AU - Kaltenbacher, Manfred
PY - 2024/7/16
Y1 - 2024/7/16
N2 - 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.
AB - 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.
KW - Fisher information
KW - magnetic material properties
KW - parameter identification
KW - sensor placement optimization
UR - http://www.scopus.com/inward/record.url?scp=85199860839&partnerID=8YFLogxK
U2 - 10.3390/math12142220
DO - 10.3390/math12142220
M3 - Article
SN - 2227-7390
VL - 12
JO - Mathematics
JF - Mathematics
IS - 14
M1 - 2220
ER -