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- W2184979730 abstract "The finite element method (FEM) and the boundary element method (BEM) have entirely different characteristics. The FEM suits the analysis of a complicated region which includes nonlinear ma- terials, and the BEM is useful for analyzing very large linear fields. This paper describes the hybrid finite and boundary element method which has the advan- tages of both methods. Here, we adopt the hybrid method to a 2D nonlinear magnetic problem with the moving boundary and make its advantages clear. I. INTRODUCTION The finite element method and the boundary element method are standard methods for numerical analysis of physical phenomena described by partial differential equa- tions. The FEM suits the analysis of such a complicated region which includes nonlinear materials. The BEM is naturally effective for analyzing very large fields, and for analyzing fields in which mediums move. Therefore, tak- ing account of the advantages in both methods, a precise numerical analysis is available (l). So we have studied the hybrid FE-BE method which has the following ad- vantages (2)(3)(4). 1) Material nonlinearity is easily calculated by the FEM. 2) Forces are obtained precisely by inner potential cal- culation of the BEM with the aid of Maxwell's stress formulation. 3) Electromagnetic quantities caused by the movement or displacement are simply calculated without remeshing in the FEM. In this paper, we analyze 2D magnetic fields of a step- ping motor as a suitable model for demonstrating the ad- vantages of the hybrid method clearly and easily. Con- cretely, we investigate the influences of both tooth-layer forms and magnetic saturation. We adopt the magnetic scalar potential II, as a physical quancty in both FE and BE region to make the coupling of two methods easy. Applying the FEM to the magnetic region which has non- linearity and the BEM to the air region, we calculate the magnetic flux density B in the airgap. Then, making use of these results, the force and the torque are calculated with the aid of Maxwell's stress formulation. 11. INVESTIGATED MODEL Fig.1 shows the hybrid stepping motor investigated in this paper. The rotor of this motor consists of two disks between which the permanent magnet is located. Two disks are shifted by half pitch of a phase, and have fifty small teeth respectively. The stator has eight poles and the exciting coils are wound around each pole. Each pole has five small teeth whose pitch is as wide as ones of the rotor disk. It is very difficult to analyze the whole of this motor because of the complicated form. So in this paper, we consider two simplified models for 2D analysis, in which straightening approximation is applied to the circular shape of the rotor. 1) Fig.2 shows a pair of the rotor and stator teeth of a" @default.
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- W2184979730 date "1994-01-01" @default.
- W2184979730 modified "2023-09-27" @default.
- W2184979730 title "Hybrid Finite and Boundary Element Method Applied to Nonlinear Magnetic Field Analysis" @default.
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