Abstract
Eddy currents (ECs) are simulated in a single laminate, representing the whole core of an electrical machine. Despite this drastic reduction in the complexity of the problem, a 3-D finite-element model turns out to be still too expensive for simulations. To overcome this difficulty, 2-D/1-D methods are used. This article presents a solution to consider both air gap and edge effect (EE) based on the multiscale finite-element method (MSFEM) using the magnetic vector potential (MVP) A. Linear material properties are assumed; therefore, this article is carried out in the frequency domain. The new 2-D/1-D MSFEM is discussed, and various simulation results are presented.
Highlights
E FFICIENT simulations of eddy currents (ECs) in laminated cores with the finite-element method (FEM) are of great interest in the design of electrical machines
The ECs J m consist of a laminar part, i.e., currents are flowing parallel to the plane of the laminate, and a part that is perpendicular to the plane, representing the edge effect (EE)
Results obtained by the 2-D/1-D multiscale FEM (MSFEM) are compared with reference solutions computed with the 3-D standard FEM (SFEM) using the mixed formulation A, V − A to prescribe suitable boundary conditions
Summary
E FFICIENT simulations of eddy currents (ECs) in laminated cores with the finite-element method (FEM) are of great interest in the design of electrical machines. The overall dimensions, the radii R and r and the length L, are in the range of meters, whereas the thickness d of the laminates and the air gaps d0 in between are the fractions of millimeters. It is very common to neglect the magnetic stray fields in the end region and, reasonable to assume that all laminates are exposed to the same electromagnetic-field distribution. It suffices to simulate only one single laminate instead of the whole laminated core. The overall dimensions of the electrical machines include the air gaps. Color versions of one or more of the figures in this article are available online at http://ieeexplore.ieee.org
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