Design Optimization of Uniaxial Magnetic Flux Concentrators for Magnetic Field Measurement Systems Using Sensitivity Analysis

초록

This study proposes a uniaxial magnetic flux concentrator (UMFC) optimized through sensitivity-based shape design to selectively amplify the magnetic field component aligned with a target sensing axis while suppressing orthogonal components. A design sensitivity analysis method, derived using the material derivative approach, is employed to quantify the effect of core geometry on the magnetic field distribution within the sensing region. Based on this formulation, the shape of the ferromagnetic core is iteratively updated to enhance directional flux concentration. The optimized UMFC design is validated through three-dimensional finite element simulations. The results confirm that the proposed design significantly improves directional field selectivity by amplifying the target-axis component and attenuating undesired cross-axis components within the sensing region. To improve manufacturability, a simplified version of the optimized core is constructed using stacked iron plates and rings. Numerical evaluation demonstrates that this manufacturable model achieves comparable performance to the original design, maintaining effective field enhancement and suppression characteristics.

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