粒子線加速器コイルのトポロジー最適化

抄録

The purpose of this study is to establish the designing scheme of simplified structure of superconducting coils for particle beam accelerators, which can be easily manufactured, by using of the procedure of topology optimization. We represented the coil configuration with the density function corresponding to the conduction cable density per cross-sectional area. We set three axes of design requirements for particle accelerators; magnetic field homogeneity, magnetic field strength and small cross-sectional area of the coil. We formulated the objective functional and developed the optimization algorithm to solve the multi-objective problem. In the algorithm, we applied the Heaviside-projection method after PDE-based filtering to avoid the gray scales in the density function and excessively complex structures. Finally, the validity of the proposed scheme was confirmed with numerical examples of coil designs.