谐振式压力传感器全温频率精度及压力输出稳定性研究

Research on accuracy enhancement of pressure sensors based on stress-isolation packaging

  • 摘要: 高精度谐振压力传感器的谐振频率较高(20~40 kHz),芯体谐振频率的波动会影响压力输出精度,且压力输出过程存在温度耦合效应,需进行标定以提升全温区(−55~100 ℃)芯体谐振频率精度及压力输出稳定性。本文提出采用多层应力隔离结构实现芯体微型化集成,有效隔离了温度变化引起的应力传递;在传统谐振式压力传感器自激振荡电路基础上,通过优化C2V电路,显著提升了检测端信号的信噪比,保障了传感器工作稳定性;设计了基于频率方波计数的频率解析算法,结合微控制单元(microcontroller unit, MCU)中断时序控制,提高了频率解析精度;同时建立了基于多元回归分析的压力解算模型,在充分表征物理非线性的同时避免参数冗余,确保了标定过程的数值稳定性与泛化能力,并完成了最终压力输出精度评估。试验结果表明:采用多层应力隔离结构封装硅谐振结构,其尺寸和重量较金属封装样机缩小了4/5以上;所设计的闭环控制电路使硅谐振结构实现了高频振荡并输出相应方波信号;在−55~100 ℃温区及3.5~110 kPa测量范围内,频率输出最大偏差小于0.14 Hz,稳定性达到0.02 Hz(RMS),压力输出值与标准压力值的最大偏差小于17 Pa,压力解析精度达到0.015 4%。

     

    Abstract: For high-precision resonant pressure sensors, the resonant frequency of the sensing element typically ranges from 20 kHz to 40 kHz. Minor fluctuations in this frequency can significantly affect pressure measurement accuracy, while temperature coupling further complicates the output, necessitating effective calibration. To enhance frequency accuracy and output stability over the full temperature range of −55 ℃ to 100 ℃, this paper proposes a miniaturized sensing element integrated with a multi-layer stress isolation structure, which effectively mitigates stress transmission induced by temperature variations. Building upon the conventional self-oscillating circuit for resonant pressure sensors, the C2V circuit is optimized to improve the signal-to-noise ratio at the detection end, thereby ensuring stable sensor operation. A frequency extraction algorithm based on square wave cycle counting is developed in conjunction with microcontroller unit (MCU) interrupt timing control to improve frequency resolution. Moreover, an online three-dimensional multi-order calibration model is established for pressure output to enable comprehensive accuracy evaluation. Experimental results demonstrate that the silicon resonant structure encapsulated with the multi-layer stress isolation structure achieves a reduction in both size and weight of more than 80% compared to a metal-packaged counterpart. The proposed closed-loop control circuit enables stable high-frequency oscillation and square wave generation. Over the temperature range of −55 ℃ to 100 ℃ and the pressure range of 3.5 kPa to 110 kPa, the maximum frequency output deviation is less than 0.14 Hz, with a stability of 0.02 Hz (RMS). The pressure output deviates from the reference value by less than 17 Pa, corresponding to a pressure measurement accuracy of 0.0154%.

     

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