Multiscale modeling of magnetic distribution of ribbon magnetic cores

The multiscale finite element method (MsFEM) combined with conventional finite element method (CFEM) is proposed to solve static magnetic field in the ribbon magnetic core with non-periodical corners considered. Firstly, a simple 2-dimensional electrostatic problem is used to introduce the MsFEM implementation process. The results are compared to analytical method, as well as conventional FEM. Then, an example of magneto-static problem is considered for a ribbon magnetic core built sheet by sheet as well as corners taken into consideration. Conventional FEM and MsFEM are used to compute the magneto-static field by adopting scalar magnetic potential. Both magnetic potential and magnetic flux density on a certain path are compared. It is shown that the results obtained by MsFEM agree well with the one from conventional FEM. Moreover, MsFEM combined with FEM is potentially a general strategy for multiscale modeling of ribbon magnetic cores with complex and non-periodical structures considered, like corners and T-joints, which can effectively reduce the computational cost.