Multiscale Modeling of Magnetic Distribution in a Magnetic Core of High-frequency Transformer

The multiscale finite element method (MsFEM) combined with conventional finite element method (FEM) is proposed to solve static magnetic field in the ribbon magnetic core. Firstly, a simple 2-dimensional electrostatic problem is used to introduce the MsFEM part. 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. 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 agrees well with the one from conventional FEM. Moreover, MsFEM combined with FEM is potentially a general strategy for multiscale modeling of ribbon magnetic cores, which can effectively reduce the computational cost.