Ho Shine-Tzong
Mechanical Engineering Department, Kaohsiung University of Applied Sciences, Kaohsiung 807, Taiwan.
IEEE Trans Ultrason Ferroelectr Freq Control. 2007 Oct;54(10):2110-9. doi: 10.1109/tuffc.2007.506.
In this paper, an electromechanical model for a disk-type piezoelectric transformer (PT) is proposed. To establish this model, vibration characteristics of the piezoelectric disk with free boundary conditions are analyzed in advance. Based on the vibration analysis results of the piezoelectric disk, the operating frequency and vibration mode of the PT are chosen. Then, electromechanical equations of motion for the PT can be derived based on Hamilton's principle, which can be used to simulate the coupled electromechanical system for the transformer. Voltage step-up ratio, input impedance, output impedance, input power, output power, and efficiency can be calculated by the equations. Thus, the optimal load resistance and the maximum efficiency for the PT are also calculated in this paper. Finally, experiments were conducted to verify the theoretical analysis, and good agreement was obtained.
本文提出了一种盘式压电变压器（PT）的机电模型。为建立该模型，预先分析了具有自由边界条件的压电盘的振动特性。基于压电盘的振动分析结果，选择了PT的工作频率和振动模式。然后，基于哈密顿原理推导了PT的机电运动方程，该方程可用于模拟变压器的机电耦合系统。通过这些方程可以计算电压升压比、输入阻抗、输出阻抗、输入功率、输出功率和效率。因此，本文还计算了PT的最佳负载电阻和最大效率。最后，进行了实验以验证理论分析，结果吻合良好。
