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Drive level dependence of the resonant frequency in BAW quartz resonators and his modeling

机译:BAW石英谐振器中谐振频率的驱动电平依赖性及其建模

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The influence of the excitation current on the resonant frequency and its mathematical description makes necessary the introduction of a nonlinear impedance characteristic of the piezoelectric resonator. This influence was modeled by the nonlinear electrical equivalent circuit; the equivalent series resistance and equivalent motional capacitance are taken to be functions of the amplitude of the excitation current by means of the relations derived in the work. The equivalent circuit was analyzed by the method of equivalent linearization. The relationships between the amplitudes of voltage applied on the AT-cut resonator and the first current harmonics or phase-frequency dependence of the excited resonator, respectively, are derived. Amplitude jumps and dynamic temperature change phenomena are discussed.
机译:激励电流对谐振频率的影响及其数学描述使得有必要引入压电谐振器的非线性阻抗特性。这种影响是通过非线性等效电路来建模的。借助于在工作中得到的关系,等效串联电阻和等效运动电容被认为是励磁电流幅度的函数。通过等效线性化方法分析等效电路。分别得出施加在AT截止谐振器上的电压幅度与被激励谐振器的第一电流谐波或相频相关性之间的关系。讨论了振幅跳跃和动态温度变化现象。

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