Affiliations: [a] INRIM, Electromagnetics Division, Torino, Italy | [b] Politecnico di Torino, Dipartimento Energia, Torino,
Italy | Institute of Electrodynamics, Microwave and Circuit
Engineering, University of Technology, Vienna, Austria
Correspondence:
[*]
Corresponding author: C. Appino, INRIM, Electromagnetics
Division, Strada delle Cacce 91, 10135 Torino (TO), Italy. Tel.: +39 011 3919
841; Fax: +39 011 3919 849; E-mail: c.appino@inrim.it
Abstract: We review state-of-the-art modeling of two-dimensional (2D)
magnetization process in soft magnets. Emphasis is placed on the
phenomenological assessment of the energy losses in steel sheets under
rotational field. It is stressed that a general physically based theoretical
framework, exploitable for applications in practical materials and machine
cores, is not available at present. However, a rational approach to the 2D
magnetic losses and their frequency dependence can be pursued. This is based on
the separation between quasi-static (hysteresis) and dynamic magnetization
processes and the connection with their unidirectional (scalar) counterpart. A
number of vector models of the 2D quasi-static hysteresis behavior, typically
residing on assessed scalar models, are discussed. They have prevalent
formal-mathematical character, and, while being often helpful in numerical
calculations, they leave unanswered the quest for solid physical
interpretation. The dynamic magnetization process can, on the other hand, rely
on a 2D phenomenological extension of the firmly established physical approach
to the unidirectional scalar case provided by the statistical theory of losses.
This is especially true for isotropic (i.e. nonoriented) magnetic laminations,
where both rotational and elliptical flux loci can be conveniently handled. It
permits one to achieve general appraisal of the experiments and flexible
formulation, useful for numerical applications in machine cores.
Keywords: Two-dimensional magnetization process, energy losses, vector hysteresis, rotational losses
