Three-Dimensional Magnetic and Mechanical Finite-Element Analysis of the HTS Insert Coil

Future accelerator magnets will need to reach field in the 20-T range. Reaching such a magnetic field is a challenge only attainable using high-temperature superconductor (HTS) material. The high current densities and stress levels needed to satisfy the design criterion of such magnets make YBaCuO superconductor the most appropriate candidate. The HFM EUCARD program is aimed to design and manufacture a dipole insert made of HTS material generating 6 T inside a Nb₃Sn dipole of 13 T at 4.2 K. In the HTS insert, engineering current densities higher than 250 A/mm² under 19 T are required to reach the performances. This paper summarizes the results of magnetic and mechanical finite element analysis of the HTS dipole insert magnet. The nonlinearity of the ferromagnetic material is also taken into account. The mechanical analysis of the magnet is carried out under Lorentz forces.