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Description
PCB-based rotating coil system has been developed at Pohang Accelerator Laboratory (PAL) for high-precision magnetic measurements of XFEL quadrupole magnets. Since the rotating coil is supported by a long ceramic shaft, shaft sagging can shift the coil center from the magnetic center, introducing systematic errors in multipole analysis through the quadrupole feed-down effect. In this work, a feed-down-based method was developed to quantitatively evaluate shaft deflection using a Permanent Magnet Quadrupole (PMQ). The proposed method was first validated by translating the rotating axis by 100 μm in both horizontal and vertical directions, yielding calculated displacements of 100.64 μm and 100.02 μm, respectively, while the quadrupole component remained constant within 10-4. The shaft deflection profile was then reconstructed from the measured A1/C2 ratio at nine longitudinal positions. The maximum shaft sagging was approximately 46 μm, confirming that the ceramic shaft satisfies the required mechanical tolerance. The proposed method provides a simple and reliable approach for evaluating shaft deflection and coil-center alignment in high-precision rotating coil measurement systems.
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