Numerical and Analytical Modeling of the Piezoelectric Transformer and Experimental Verification
Résumé
n this paper, to approach the modeling aspect, we have selected a Rosen-type structure of piezo-electric transformer which, for us, seems very interesting from an educational point of view. Two approaches will be presented, (i) The first one consist of performing the analysis with an electric equivalent circuit. The set of hypotheses used in the equivalent circuit method prove to be somewhat restrictive inasmuch as only one type of vibration is being considered, which neglects the coupling phenomena existing in the other directions. (ii) We have therefore added to our modeling approach a more general numerical finite element method using ANSYS software. Because piezoelectric problems are solved as an extension to the total elastic-electric coupling, we have simulated all the 3D structure of the piezoelectric transformer and appreciated the validity of the hypotheses done in the equivalent circuit method. Finally, the results are compared with experimental data in different condition of behavior.