Relative Magnetic Permeability Identification of the Permanent Magnets of a Synchronous Motor Using Inverse Problem

Abstract

In this paper, a parameter identification using inverse problem methodology is proposed. The magnetic permeability, which depends on the magnetic field and temperature, is a physical parameter which has to be taken into account in any electro thermal physical problem simulation. In order to show the validity of the proposed approach, the problem is usually treated as an optimization problem, where the conjugate gradient method is combined with the finite element analysis, to identify the relative magnetic permeability of the permanent magnets (PM) of a synchronous motor. Tikhonov’s regularization method is then used to replace the original ill-posed or ill-conditioned problem with a well-posed or well-conditioned problem, able to provide a close approximation of the PM relative magnetic permeability.
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