High-Temperature Superconducting (HTS) High-Current (HI) Cables (HTS-HI Cables)

High-temperature superconducting (HTS) devices and methods are disclosed. An HTS cable subassembly has a rectangular shaped cross section. The subassembly includes a stack of tapes formed of a superconducting material, and a cable subassembly wrapper wrapped around the stack of tapes. The tapes in the stack are slidably arranged in a parallel fashion. A cable assembly is formed of a cable assembly wrapper formed of a second non-superconducting material disposed around an n×m array of cable subassemblies. Within a cable assembly, a first cable subassembly of the array of subassemblies is oriented substantially perpendicular to a second cable subassembly with regard to the plurality of tapes. A compound-cable assembly is formed by joining two or more cable assemblies. A high-temperature superconducting magnet is formed of a solenoidal magnet as well as dipole and quadrupole magnets wound of a cable subassembly, a cable assembly, and/or a compound cable assembly.