提出并研究了一种新型阶梯盘形压电陶瓷变压器,与传统的点环形盘形压电陶瓷变压器相比,原来整个压电陶瓷圆盘由不同厚度的压电陶瓷内盘和外环所代替.论文应用压电方程并结合相关弹性理论对厚度极化的压电陶瓷圆盘和圆环的径向振动进行分析,并利用解析法获得了新型变压器径向振动的机电等效电路.在此基础上,得出了新型变压器的输入阻抗、共振频率、反共振频率、电压增益和功率效率的解析解;将计算所得共振频率、反共振频率与ANSYS模拟结果进行比较验证,模拟结果和理论计算值相吻合;且分析探讨了新型压电变压器的几何尺寸对最大电压增益和其对应的频率的影响.
A new type of step disc piezoelectric ceramic transformer is proposed and studied in this work.Comparing with the conventional disc piezoelectric ceramic transformer,the primary piezoelectric ceramic disk was replaced by different thickness of piezoelectric ceramic inside dish and outer ring.The piezoelectric equation combined with the elastic theory was applied to the analysis of the radial vibration of the piezoelectric disc and ring vibrator polarized in thickness direction,and the equivalent circuit of this new type of piezoelectric ceramic transformer was derived by using analytical method.Based on this,the analytical solutions of the input impedance,the resonance frequency,the anti-resonance frequency,the voltage gain and the power efficiency were obtained.The calculated resonance frequency and anti-resonance frequency were compared with the simulation results of ANSYS.The results show that the simulation results agreed with the calculated results.Then,the effect of the geometry size of the novel piezoelectric transformer on the maximum voltage gain and its corresponding frequency has been analyzed.