A substitute circuit of the piezoelectric transformer transmitting longitudinal vibrations

A description of the piezoelectric vibrating plate as a substitute electric circuit is presented. The developed scheme was extended to describe two plates that interact with each other acting as a piezoelectric transformer. Using the electromechanical analogy, the dynamic flexibility of the system was determined. All mechanical parameters of the analysed system were replaced by equivalent electrical parameters in obtained Mason's model. A substitute electric system of the piezoelectric transducer that is equal to a three-port system was introduced. Substitute systems of both plates were introduced. A mathematical algorithm for obtaining dynamical characteristic of the considered system is presented. In the presented case it was assumed that harmonic voltage is applied to the first piezoelectric plate of the transformer and causes vibration in the thickness direction of the plate. The second piezoelectric plate is used to recover and strengthening of the electric voltage. Using the presented mathematical algorithm, it is possible to realize modelling and testing of such systems, as well as analysis of the impact of their parameters on characteristics.