MAGNETIC CIRCUIT MODELING OF THE HALL EFFECT CURRENT SENSOR

Tóm tắt

This paper presents an equivalent magnetic circuit modeling approach for closed-loop Hall-effect current sensors to address the computational inefficiencies of conventional numerical simulations. A key contribution of this research is the integration of the Jiles-Atherton hysteresis model with flux tube elements, enabling a rigorous analysis of nonlinear phenomena, including leakage flux and magnetic core saturation, over a wide frequency bandwidth (200 Hz to 200kHz). The proposed methodology employs the Nelder-Mead Simplex algorithm to optimize sensor geometries, ensuring accurate magnetic field distribution modeling while bypassing the need for computationally intensive finite element analysis. Experimental validation conducted on ABB commercial sensors (ES300 to ES2000 series) demonstrates high fidelity, with a maximum root-mean-square error of approximately 6%. This study provides a robust design tool for predicting sensor performance and optimizing magnetic materials in modern power electronics applications. The model effectively balances physical accuracy with the high computational speed required for real-time simulation environments.