This thesis addresses research on the design, fabrication, and operation of the first saddle-shaped dipole magnet for particle accelerators using a no-insulation high-temperature superconducting (HTS) magnet technology. Unlike HTS magnets with various geometries used in other applications, saddle-shaped magnets posed unresolved challenges in analysis and fabrication due to their complex shape. This thesis is the first study to systematically classify these issues and propose detailed solutions for each. Scaling up the techniques used in this research could enable the development of dipole...