title: A comparison of 1D analytical model and 3D finite element analysis with experiments for a rosen-type piezoelectric transformer.
abstract: This article is dedicated to the study of Piezoelectric Transformers (PTs), which offer promising solutions to the increasing need for integrated power electronics modules within autonomous systems. The advantages offered by such transformers include: immunity to electromagnetic disturbances; ease of miniaturisation for example, using conventional micro fabrication processes; and enhanced performance in terms of voltage gain and power efficiency. Central to the adequate description of such transformers is the need for complex analytical modeling tools, especially if one is attempting to include combined contributions due to (i) mechanical phenomena owing to the different propagation modes which differ at the primary and secondary sides of the PT; and (ii) electrical phenomena such as the voltage gain and power efficiency, which depend on the electrical load. The present work demonstrates an original one-dimensional (1D) analytical model, dedicated to a Rosen-type PT and simulation results are successively compared against that of a three-dimensional (3D) Finite Element Analysis (COMSOL Multiphysics software) and experimental results. The Rosen-type PT studied here is based on a single layer soft PZT (P191) with corresponding dimensions 18 mm × 3 mm × 1.5 mm, which operated at the second harmonic of 176 kHz. Detailed simulational and experimental results show that the presented 1D model predicts experimental measurements to within less than 10% error of the voltage gain at the second and third resonance frequency modes. Adjustment of the analytical model parameters is found to decrease errors relative to experimental voltage gain to within 1%, whilst a 2.5% error on the output admittance magnitude at the second resonance mode were obtained. Relying on the unique assumption of one-dimensionality, the present analytical model appears as a useful tool for Rosen-type PT design and behavior understanding.
authors.affiliation: Centre de Recherche Scientifique et Technique en Soudage et Contrôle (CSC), Division de Caractérisation et d'Instrumentation, B.P.64, Route de Delly Brahim, Chéraga, Alger, Algeria. Electronic address: f.boukazouha@csc.dz.
authors.forename: F
authors.initials: F
authors.lastname: Boukazouha
authors.affiliation: Université François Rabelais de Tours, CNRS, GREMAN UMR 7347, Avenue Monge, Bât. E, Parc de Grandmont, F-37200 Tours, France; INSA-CVL, CNRS, GREMAN UMR 7347, 3 rue de la Chocolaterie, CS 23410, F-41034 Blois cedex, France.
authors.forename: G
authors.initials: G
authors.lastname: Poulin-Vittrant
authors.affiliation: INSA-CVL, CNRS, GREMAN UMR 7347, 3 rue de la Chocolaterie, CS 23410, F-41034 Blois cedex, France.
authors.forename: L P
authors.initials: LP
authors.lastname: Tran-Huu-Hue
authors.affiliation: INSA-CVL, CNRS, GREMAN UMR 7347, 3 rue de la Chocolaterie, CS 23410, F-41034 Blois cedex, France.
authors.forename: M
authors.initials: M
authors.lastname: Bavencoffe
authors.affiliation: Laboratoire de Physique des Matériaux, Faculté des Sciences Physiques, Université des Sciences et de la Technologie Houari Boumediene, USTHB, B.P.32, El Alia, Bab Ezzouar, 16111 Alger, Algeria.
authors.forename: F
authors.initials: F
authors.lastname: Boubenider
authors.affiliation: Université Lille Nord de France, F-59000 Lille, France; UVHC, Laboratoire des Matériaux Céramiques et Procédés Associés, Z.I. du Champ de l'Abbesse, F-59600 Maubeuge, France.
authors.forename: M
authors.initials: M
authors.lastname: Rguiti
authors.affiliation: Université François Rabelais de Tours, CNRS, GREMAN UMR 7347, Avenue Monge, Bât. E, Parc de Grandmont, F-37200 Tours, France.
authors.forename: M
authors.initials: M
authors.lastname: Lethiecq
keywords: 1D analytical modeling; 3D FEA simulations; Experimental characterisation; Piezoelectric transformer; Rosen-type transformer