Spherical Harmonic Identification Using a Priori Information About an Electrical Device

• Published in: IEEE transactions on magnetics Vol. 43; no. 4; pp. 1781 - 1784
• Main Authors: Schmerber, L., Rouve, L.-L., Foggia, A.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: New York, NY IEEE 01.04.2007; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: A priori information; Bayesian inverse problem; Cross-disciplinary physics: materials science; rheology; Devices; Equivalence; Exact sciences and technology; Finite element methods; Inverse problems; Magnetic devices; magnetic measurement; Magnetic properties; Magnetic sensors; Magnetic separation; Magnetic shielding; Magnetic variables measurement; Magnetism; Materials science; Mathematical analysis; Mathematical models; Matrix decomposition; Motors; Other topics in materials science; Permanent magnet motors; Permanent magnets; Physics; Sensors; Spherical harmonics; spherical harmonics; Inverse problems; A priori information; Calculus; magnetic measurement; Magnetic fields; Bayesian inverse problem; Magnetic properties
• ISSN: 0018-9464; 1941-0069
• DOI: 10.1109/TMAG.2007.892521

This paper deals with a method using the spherical harmonic expansion to identify a magnetic equivalent model to a given electrical device. The most significant issue of this identification is the number of required magnetic sensors to obtain a valid model. Therefore, our method is based on a probabilistic approach to solve inverse problems using prior information of the source like periodicities or symmetries. Thus, the required number of sensors has strongly decreased. The method is illustrated by a finite-element method simulated permanent magnet motor