Compact high-gradient quadrupole magnets are required on both sides of the interaction points (IP) in the Circular Electron Positron Collider (CEPC) interaction region (IR). The dual-aperture superconducting quadrupole magnet Q1a is positioned closest to the IP with a crossing angle of 33 mrad between the two apertures. The electromagnetic design and development of Q1a faces great challenges due to the difficulties associated with the small aperture, high gradient and the magnetic field interference. This paper presents the electromagnetic design scheme of CEPC IR quadrupole magnets and the development of a high gradient superconducting quadrupole experimental magnet. Firstly, by comparing the electromagnetic properties and technological characteristics of three commonly used quadrupole superconducting coils, the design scheme of the superconducting quadrupole magnet for the CEPC final focusing system is determined. Then, the electromagnetic design and optimization of a cos 2θ experimental magnet is presented, the manufacturing process of the experimental magnet is introduced. Finally, the cryogenic excitation test of the experimental magnet is described and the physical design scheme of the high-gradient superconducting magnet for final focusing system in CEPC IR is verified.
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