MMAによる三次元非線形磁界問題のトポロジー最適化

抄録

The topology optimization method is the one of powerful tools to improve the performance of electrical machines. Various topology optimization techniques, e.g. the material-density-based method and the level-set method, have been proposed. While the material-density-based method would be able to drastically change the structure of electrical machine, the complexity of converged structure would be higher from the viewpoint of practical design. Generally, the complexity of converged solution derived from the level-set-based method would be lower than that of the material-density-based method. Its characteristic is desirable for the practical engineering process, nevertheless level-set method has two disadvantages. First, the level-set method is not topology optimization but shape optimization. Second, the convergence speed is much slower than the material-density-based method. To overcome these difficulties, the fast topology optimization method using level set function supported by the Method of Moving Asymptotes (MMA) was proposed, further the efficacy was shown in the 2-D magnetic field problems. In this paper, the performance of its method on nonlinear 3-D magnetic field problems is investigated.