A homogenization procedure of field quantities in laminated electric steel

Homogenization algorithms for calculation of field quantities in laminated magnetic materials

“…Considering a laminate defined by two parallel planes with distance being traversed by a time-varying magnetic flux parallel to the laminate, Ampere's, Faradays, and Ohm's law give (1) where is chosen to define the middle plane of the laminate. For constant material parameters, (1) can be solved analytically given that spatial variations of field quantities can be described by functions.…”

“…T HIS paper presents an extension of a recently suggested homogenization procedure for calculation of field quantities in laminated electric steel [1] such that substantial eddy currents can be treated. The governing idea is to resolve the spatial distribution of eddy currents within a laminate and then to apply the homogenization procedure.…”

Dynamical Models for Eddy Current in Ferromagnetic Cores Introduced in an FE-Tuned Magnetic Equivalent Circuit of an Electromagnetic Relay

“…The second model arises out of the first one. A simple method to homogenize the magnetic diffusion equation along the study domain is developed in several works [6], [7]. This homogenization allows obtaining a simple (4) associating the output and input of the searched magnetic component (4) where is the averaged flux density over the cross section of the sheet, is the excitation field on the surface of the sheet, is the magnetization field associated with calculated from the static material law (the relation between and is provided by Jiles-Atherton's static hysteretic model).…”

“…An optimization of the lumped parameters of the flux tube network based on automatic algorithms is presented. Two accurate dynamical laws of the magnetic material are considered [5], [6] and tested. Once the association of different flux tubes is carried out, simulations of the relay are performed at several frequencies.…”

Equivalent Permeability of Step-Lap Joints of Transformer Cores: Computational and Experimental Considerations

“…In recent years, there have been several such attempts described in literature, most employing an analytical 1-D solution along the thickness of the sheet. Multidimensional orthogonal decomposition of the flux distribution has been used [5] both for a linear [6] and a nonlinear model [7]. The normal and tangential fluxes (referred to as "perpendicular" and "parallel" in the references) have been considered with appropriate modifications to the tensor of reluctances and conductances; a diagonal tensor has been used.…”