Optimal working frequency of ultrasonic motors

In this work, the existence of the optimal working frequency for ultrasonic motors (USMs) is theoretically and experimentally verified for the first time, at which working point the power dissipation of the motors arrives at its minimum value. The mathematical model of the mechanical quality factor is initially deduced to evaluate the loss level, because it shows an opposite tendency with losses. The derivative of the mechanical quality factor can be subsequently arrived at with the aid of the phenomenon model of the phase of the admittance. The theoretical derivation infers that the maximum value of the mechanical quality factor exists almost around the average value of the frequency of maximum conductance and the frequency of maximum resistance. Then the input power of the USM is measured under the constant velocity condition, which is supposed to counteract the loss; that is, the loss can be therefore evaluated experimentally. Measurements infer that the power dissipation of the motor reaches the minimum value around the calculated optimal working frequency. In other word, it is proven that the USM maintains an optimal working frequency from the loss reduction view point.