A non-uniform meshing technique is presented for all the electromagnetic components . For the component which is perpendicular to the plate, the volume cells are assigned for the edge region . A hybrid numerical method (M3) is proposed . The IES-FARADAY based on BEM is presented for validation of the proposed methods . The proposed meshing scheme can improve the accuracy of solution effectively . The error of induced current and magnetization reduce significantly . I . Introduction Metallic plates are often employed in industry to shield power-frequency magnetic fields coming from bus bars and power cables [1][2] . To evaluate the magnetic fields shielded by the plates, numerical methods are normally adopted, such as BEM and Integral Method [3][4][5] . For the Integral Method, How to catch an effective meshing scheme has been being a research focus . The results of previous PEEC models [6][7] illustrate that the existing density of grid is not enough to get a precise solution . And it is little significance and unacceptable to increase the density of grid blindly . In this paper, firstly, a non-uniform meshing technique is presented, which is based on the principle of the distribution of electromagnetic quantities which are perpendicular to the plate . Compared with the results from M1 [6], which applies the uniform meshing scheme, the results from M1_R are at a significant higher accuracy . However, note that the assumption of double exponential function is not accurate in the edge region of the magnetic plate . Secondly, a new hybrid modeling method (named M3) is presented, which is expected to essentially reduce this error . The new hybrid method is tested with the configuration presented . The results are compared with the M1, M1_R, and validated by the IES-FARADAY .
II . A HYBRID Mesh SchemeThe non-uniform meshing technique is presented, which is based on the principle of the distribution of electromagnetic quantities on the plate . While taking into account the skin effect from multi-surface in the edge region of the plate, a refinement is done in this region . In the other hand, some areas, which are closed to the external magnetic field source and with relatively stronger responses, are assigned mesh refinement as well . When the couplings are not only come from the upper and lower surfaces but also the side surface, a region for mesh refinement close to the side can be defined, which is roughly the skin depth of the plate . Furthermore, the electromagnetic components vary steeper when it is closer to the side boundary . A superimposed non-uniform meshing can be done during the refinement region . A set of weighting coefficients, such as [0 .1, 0 .2, 0 .3, 0 .4], can be defined to generate the non-uniform segmentation from the side boundary to the interior of plate . In order to avoid the influence of the great difference between the sizes of adjacent cells, the connection area is needed . It mitigates the difference of the different sizes of non-uniform grid . For the magnetic component (Mz) which is per...