Polynomial Calibration and Temperature Drift Compensation of 3D-Hall Magnetic Field Sensors for Enhanced Accuracy and Stability

This study presents a calibration methodology for 3D Hall-Effect magnetic field sensors using a custom-built 3D Helmholtz coil system to generate a highly uniform reference magnetic field. The proposed method employs polynomial fitting to correct non-linearities in the sensor response and compensates for temperature-induced drift using a magnitude-only correction approach. Experimental results demonstrate significant improvements in measurement accuracy, with the Root Mean Square Error (RMSE) reduced by up to 96% across all axes. While the linearity of the sensor outputs remained consistently high before and after calibration, the calibration process effectively reduced both systematic and random errors. Additionally, temperature drift errors were effectively minimized, resulting in a sTABLE output over the tested temperature range of 17 °C-28 °C. The overall uncertainty of the calibration process, considering both field generation and measurement accuracy, is estimated to be within ±0.15%, ensuring the reliability of the proposed calibration method for high precision magnetic field measurements.