Abstract A higher available magnetic field can provide more flexibility for significant research and construction. Inserting a feasible high-temperature-superconducting (HTS) magnet inside a low-temperature-superconducting (LTS) external is becoming an efficient method to build ultra-high-field (UHF) magnets. However, HTS insert magnets exhibited a concentration of magnetic strain during the energization, significantly owing to the screening-current effect. This phenomenon affects the structural integrity of HTS magnets, posing a difficulty for UHF magnets to reach a center field larger than 30 T. In this paper, we report the recent progress of the 35 T all-superconducting UHF magnet project. The full-cycle development of this homemade UHF magnet was a strong collaboration with multiple domestic institutions in China. We used commercial REBa 2 Cu 3 O 7 − x (RE = rare earth element, REBCO) conductors to wind the 20 T HTS insert. Specifically, we optimized the electromagnetic design of this HTS insert with consideration of screening-current induced strain. We applied the no-insulation and metal-as-insulation winding techniques simultaneously to balance the time constant of the two nested REBCO coils. During the excitation test, the HTS insert maintained a 256 A operation current as designed for nearly 18 h. With the energization of LTS external magnet, the entire facility reached a center field larger than 20 T for 16 h, 30 T for 6.35 h and 32 T for 2 h. It finally reached a 32.4 T center field, at which point the LTS external quenched, inducing the HTS insert to quench as well. After quench, the HTS magnet can maintain 229 A operation current during the postmortem standalone test. This 32.4 T result exhibits the effectiveness of considering the screening-current induced strain to enhance the structural integrity of REBCO magnets, and verifies the high reliability of REBCO magnets by generating a long-duration high field environment without any quench accident originating from the REBCO magnet.

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