Shape Optimization to Improve the Critical Current of HTS Solenoid

고온초전도 솔레노이드의 임계전류 향상을 위한 형상 최적화

To enhance the critical current of superconducting coil, the magnetic field experienced by superconductors in a coil should be minimized. This is true for both low $T_{c}$ and high $T_{c}$ superconductors, and the difference between the two lays in their isotropic/an-isotropic characteristics. In this paper, we propose a shape optimization algorithm to reduce radial magnetic field components in HTS solenoid to enhance the critical current of a solenoid. In the algorithm, finite element method and continuum shape design sensitivity formula were employed. The objective function is to minimize the maximum radial magnetic fields in a solenoid with a constraint of constant solenoid volume condition. In this paper, the details on algorithm are introduced and the calculated optimized shapes are presented.