Multimodal electromechanical model of piezoelectric transformers by Hamilton's principle

Clément Nadal (1) , François Pigache (1)

1 LAPLACE-GREM3 - Groupe de Recherches en Electrodynamique

This work deals with a general energetic approach to establish an accurate electromechanical model of a piezoelectric transformer (PT). Hamilton’s principle is used to obtain the equations of motion for free vibrations. The modal characteristics (mass, stiffness, primary and secondary electromechanical conversion factors) are also deduced. Then, to illustrate this general electromechanical method, the variational principle is applied to both homogeneous and nonhomogeneous Rosen-type PT models. A comparison of modal parameters, mechanical displacements, and electrical potentials are presented for both models. Finally, the validity of the electrodynamical model of nonhomogeneous Rosen-type PT is confirmed by a numerical comparison based on a finite elements method and an experimental identification.

Mots clés: Piezoelectric transformer; Analytical modeling; Variational formulation; Hamilton principle; Rosen type transformer; Multimodal

Domaines: Energie électrique; Plasmas

Clément Nadal, François Pigache. Multimodal electromechanical model of piezoelectric transformers by Hamilton's principle. IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 2009, vol. 56, pp. 2530-2543. ⟨10.1109/TUFFC.2009.1340⟩. ⟨hal-00780461⟩