Homogenization Of Lamination Stacks In Linear Magnetodynamics

An effective numerical modeling of devices with lamination stacks cannot be done without replacing the laminations by an equivalent solid region. So far, no convincing model has been proposed, even in the "simple" case of linear magnetodynamics-particularly if the resultant current in each sheet does not cancel. In this paper, we define the homogenized fields, and the related material properties. The noteworthy precision of the theoretic homogenized solution is shown and discussed by comparing it with the exact solution of the problem with laminations in the case of a simple "1.5-D" analytical test problem. The three-dimensional finite element solutions-real description of the sheets, refined mesh/homogenized region, coarser mesh-for the same test problem show also a perfect agreement.