基于非线性动力学调控的高性能微电场传感器

High-performance micro electric field sensors enabled by nonlinear dynamics regulation

  • 摘要: 电场传感器作为电场检测的核心器件,广泛应用于高压输电、气象监测、静电防护以及航空航天等多个领域。测量微弱电场及提升测量精度可获知更多环境电场变化细节,提升电场传感器的灵敏度与分辨力指标是电场传感器领域的持续研究目标。区别于传统基于谐振器线性响应的研究方法,本文提出了一种利用非线性效应增强谐振式MEMS(Micro-Electro- Mechanical Systems,MEMS)电场传感器性能的方法。首先分析了MEMS电场传感器的工作机制,分别建立了微谐振器的线性振动模型和Duffing非线性振动模型。建立两种模型下的动力学方程,获得了幅频关系和灵敏度的完整理论框架。设计并搭建了基于高精度驱动电路、跨阻放大和差分读出电路及数据采集与分析平台的谐振器电性能测试系统,并研究了传感器在在二阶振动模态下的非线性振动行为。通过调节激励幅值和偏置电压等参数,实现了对非线性工作区的有效调控。线性与非线性工作区的关键性能指标对比测试表明,在非线性调控下,传感器可实现灵敏度(4.77 mV/(kV/m))和分辨力( 0.22 V/m·√Hz),验证了基于非线性调控策略在提升谐振式传感器性能方面的有效性。

     

    Abstract: As the core component in electric field detection systems, electric field sensors have been widely applied in key fields such as high-voltage power transmission, atmospheric monitoring, electrostatic protection, and aerospace. In practical applications, the operational characteristics of resonator-based sensors are often established under the assumption of linear system responses. However, with increasing demands for high sensitivity and high resolution in electric field measurements, enhancing the performance of electric field sensors has become a research hotspot in recent years. The applicability of traditional electric field sensors based on linear operating mechanisms is gradually being challenged. In this work, we propose a novel approach to improve the performance of resonant MEMS electric field sensors by harnessing nonlinear effects. The study systematically explores how nonlinear dynamics can be controlled and exploited to boost sensing capability under large-signal excitation conditions. A detailed analysis is first conducted on the sensor’s structural design and electric field sensing principle. The sensor’s core components include a drive electrode, sensing electrode, movable shielding electrode, folded beams, and fixed anchors. Based on electrostatic induction and Gauss’s law, the sensitive structure generates an induced current proportional to the external electric field intensity, which enables field strength measurement through current detection. The nonlinear behavior of the resonator and its control scheme are then introduced, with particular attention to the physical origins and manifestations of nonlinearity, such as geometric and material nonlinearities, as well as mode coupling effects. Two analytical models are developed: a linear vibration model for small-signal excitation, and a nonlinear model incorporating a cubic Duffing term for large excitation conditions. Frequency response characteristics and sensitivity expressions are derived for both regimes, providing theoretical support for later experimental validation and offering insights into how nonlinearity influences sensor performance. To further investigate the nonlinear characteristics, a 3D model of the sensor is constructed using COMSOL Multiphysics 6.0 for structural simulation. A complete experimental platform is then developed, including a precision excitation circuit, differential current readout circuitry, and a data acquisition and analysis system. This setup allows precise control of excitation amplitude and frequency, enabling systematic investigation of the resonator’s dynamic behavior under varying conditions. The experiments focus on the resonator's nonlinear vibrations in its second-order mode. By adjusting parameters such as excitation amplitude and bias voltage, the study explores methods for effectively controlling the sensor’s operation within the nonlinear regime. The results reveal the impact of nonlinear vibration on sensor performance and demonstrate how careful tuning of nonlinear effects can significantly enhance key metrics. In particular, under optimized nonlinear operating conditions, the sensor achieves a maximum sensitivity of 4.77 mV/(kV/m) and an improved resolution of 0.22 V/m·√Hz. These findings confirm the feasibility and effectiveness of leveraging nonlinear mechanisms to enhance MEMS electric field sensor performance. This work not only offers a new approach for achieving high-precision electric field detection but also showcases the considerable potential of nonlinear resonator technology in demanding application scenarios. With increasing performance requirements in fields such as smart grids, environmental monitoring, and aerospace systems, the integration of controlled nonlinearity is expected to become a powerful strategy for next-generation electric field sensor design.

     

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