Modeling and Parameter Sensitivity Improvement in ΔE-Effect Magnetic Sensor Based on Mode Localization Effect

Abstract

A mode-localized ΔE-effect magnetic sensor model is established theoretically and numerically. Based on the designed weakly coupled resonators with multi-layer film structure, it is investigated how the ΔE-effect of the magnetostrictive film under the external magnetic field causes the stiffness perturbation of the coupled resonators to induce the mode localization effect. Using the amplitude ratio (AR) as the output in the mode-localized ΔE-effect magnetic sensor can improve the relative sensitivity by three orders of magnitude compared with the traditional frequency output, which has been verified by simulations based on the finite element method (FEM). In addition, the effects of material properties and geometric dimensions on sensor performance parameters, such as sensitivity, linear range, and static operating point are also analyzed and studied in detail, providing the theoretical basis for the design and optimization of the mode-localized ΔE-effect magnetic sensor in different application scenarios. By reasonably optimizing the key parameters of the weekly coupled resonators, a mode-localized ΔE-effect magnetic sensor with the sensitivity of 18 AR/mT and a linear range of 0.8 mT can be achieved.

A Two-Axis Orthogonal Resonator for Variable Sensitivity Mode Localization Sensing

“…Both stiffness perturbation and k c tuning were generated by electrostatic tuning. Considering Equation (15), stiffness perturbation could be controlled by V 2 2 + V 2 1 , while k c could be controlled by V 2 2 − V 2 1 . Thus, both parameters could be independently controlled.…”

“…Mode localization is the phenomenon that detects the small stiffness or mass perturbation applied to weakly coupled resonators [1][2][3][4][5]. Recently, MEMS sensors utilizing mode localization have gained attention for their potential to significantly enhance sensitivity and have been applied to various sensors such accelerometers [6][7][8][9][10], gyroscopes [11], electric current sensors [12], electrometers [13,14] magnetometers [15], and mass sensors [16][17][18]. One major advantage of mode localization sensing is that the change in amplitude ratio is much larger than that in resonant frequency [3].…”

Study and Quantitative Analysis of Mode Localization in Wind Turbine Blades

“…Morozov et al [26] revealed the principal difference in the characteristics of the mode localization phenomenon for a microelectromechanical accelerometer model. Lyu et al [27] improved the parameter sensitivity of a ∆E-effect magnetic sensor using the mode localization effect. Although there is a great deal of research on the modal localization theory, there is a lack of studies on damage to wind turbine blades based on this theory.…”