Renteria Marquez I A, Bolborici V
University of Texas at El Paso, Department of Electrical and Computer Engineering, 500 W. University Ave., El Paso, TX 79968, USA.
Ultrasonics. 2017 May;77:69-78. doi: 10.1016/j.ultras.2017.01.019. Epub 2017 Jan 31.
This manuscript presents a method to model in detail the piezoelectric traveling wave rotary ultrasonic motor (PTRUSM) stator response under the action of DC and AC voltages. The stator is modeled with a discrete two dimensional system of equations using the finite volume method (FVM). In order to obtain accurate results, a model of the stator bridge is included into the stator model. The model of the stator under the action of DC voltage is presented first, and the results of the model are compared versus a similar model using the commercial finite element software COMSOL Multiphysics. One can observe that there is a difference of less than 5% between the displacements of the stator using the proposed model and the one with COMSOL Multiphysics. After that, the model of the stator under the action of AC voltages is presented. The time domain analysis shows the generation of the traveling wave in the stator surface. One can use this model to accurately calculate the stator surface velocities, elliptical motion of the stator surface and the amplitude and shape of the stator traveling wave. A system of equations discretized with the finite volume method can easily be transformed into electrical circuits, because of that, FVM may be a better choice to develop a model-based control strategy for the PTRUSM.
本文提出了一种详细模拟直流和交流电压作用下压电行波旋转超声电机（PTRUSM）定子响应的方法。定子采用有限体积法（FVM）通过离散二维方程组进行建模。为了获得准确的结果，定子模型中包含了定子桥的模型。首先给出了直流电压作用下定子的模型，并将该模型的结果与使用商业有限元软件COMSOL Multiphysics的类似模型进行了比较。可以观察到，使用所提出的模型得到的定子位移与使用COMSOL Multiphysics得到的定子位移之间的差异小于5%。之后，给出了交流电压作用下定子的模型。时域分析表明定子表面产生了行波。可以使用该模型精确计算定子表面速度、定子表面的椭圆运动以及定子行波的幅度和形状。由于用有限体积法离散的方程组可以很容易地转换为电路，因此，有限体积法可能是为PTRUSM开发基于模型的控制策略的更好选择。
