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In order to reduce the loss and improve the efficiency of electric machinery, a highly accurate magnetic field analysis of the laminated iron core is desired. Recently, various methods for modeling laminated iron core such as gap element modeling, double nodes technique and homogenization methods have been advanced. However, there are still some ambiguities on the characteristic of the methods. In this paper, with this background, a benchmark model of laminated iron core is proposed for the clarification of the characteristic of the various modeling methods. Figure 1 shows the specification of the proposed benchmark model. The core is constructed by laminating 200 steel sheets (JIS grade: 50A1300) in the x-direction. The thickness of the steel sheet is 0.5 mm and the space factor is set to be 0.96. A reference solution is necessary for the comparison of the effectiveness between the various modeling methods based on the benchmark model. For a highly accurate analysis of laminated iron core by an ordinary finite element method (FEM), extremely large computational costs are required due to the huge number of elements generated by detailed modeling of the laminated structure. On the other hand, a hybrid finite element-boundary element (FEBE) method enables us to reduce the number of elements because no mesh division is required for the free space. Furthermore, the drastic reduction of the computational costs can be accomplished by applying the fast multipole method (FMM). In order to obtain the reference solution of the benchmark model, a large-scale nonlinear magnetostatic field analysis is carried out by the hybrid FE-BE method combined with the FMM based on diagonal forms for translation operators. The mesh is fine enough to represent the laminated structure of insulation layer and the iron sheets in detail. The computational costs and accuracy of two kinds of the homogenization methods are discussed comparing the reference

Proposal for Benchmark Model of Laminated Iron Core and the Large-scale and Highly Accurate Magnetic Field Analysis