A comparison of 1D analytical model and 3D Finite Element Analysis with experiments for a Rosen-type piezoelectric transformer

Boukazouha, Faiza; Poulin‐Vittrant, Guylaine; Tran-Huu-Hue, Louis-Pascal; Bavencoffe, Maxime; Boubenider, F.; Rguiti, Mohamed; Lethiecq, Marc

doi:10.1016/j.ultras.2015.02.008

Cited by 11 publications

(2 citation statements)

References 19 publications

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“…The Nusselt number was recalculated at each time step since it depends upon temperature, and evaluated in each triangle of the outer connector's surface of the 3D-CAD geometry. From the Nusselt number, the convective coefficient htri of each triangle is calculated by means of (15) and finally the overall heat transfer coefficient h for the connector is obtained through the weighted average of the individual htri of each triangle by using the area of each triangle as weighting factor. To obtain the dimensionless Rayleigh number, it is first necessary to obtain the dimensionless Prandtl and Grashof numbers, …”

Section: Convective Coefficient Of the Connectormentioning

confidence: 99%

Transient thermal modelling of substation connectors by means of dimensionality reduction

Abomailek

Capelli

Riba

et al. 2017

Applied Thermal Engineering

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-This paper proposes a simple, fast and accurate simulation approach based on one-dimensional reduction and the application of the finite difference method (FDM) to determine the temperatures rise in substation connectors. The method discretizes the studied three-dimensional geometry in a finite number of one-dimensional elements or regions in which the energy rate balance is calculated. Although a onedimensional reduction is applied, to ensure the accuracy of the proposed transient method, it takes into account the three-dimensional geometry of the analyzed system to determine for all analyzed elements and at each time step different parameters such as the incremental resistance of each element or the convective coefficient. The proposed approach allows fulfilling both accuracy and low computational burden criteria, providing similar accuracy than the three-dimensional finite element method but with much lower computational requirements. Experimental results conducted in a high-current laboratory validate the accuracy and effectiveness of the proposed method and its usefulness to design substation connectors and other power devices and components with an optimal thermal behavior. . The use of 3D-FEM simulation tools often requires the use of costly licenses and the implication of specialized engineers to carry out tedious and time-consuming tasks associated to the preparation of 3D geometries, generation of the 3D mesh, or settling of boundary conditions among others. Therefore the development of accurate fast models [12] which can be based on model reduction techniques [13] and are highly appealing to overcome the abovementioned drawbacks. Different approaches have been applied to reduce the computational burden in complex 3D problems. For example in [14] a co-simulation strategy combining 1D finite difference and 3D finite volume codes are applied. In [15] a1D analytical model for simulating the response of piezoelectric transformers was compared against 3D-FEM simulations. In [16] a 1D finite difference approach to model mass conservation in ducts of an internal combustion engine was studied. Cerfontaine et al. [17] proposed a 1D-finite element formulation to model the grouting and field temperatures of borehole heat exchangers. This paper proposes a one-dimensional fast method based on nodal equations and finite differences formulation to accurately predict the temperature evolution in substation connectors during the standard temperature rise test. This is a multiphysics electromagnetic-thermal problem since the main heat source is the Joule loss due to the electric current whose time-profile is known, although there is a minor contribution due to the induced eddy currents. The proposed method discretizes the analyzed domain in finite one-dimensional regions in which the energy rate balance due to the flow of heat is calculated. To accurately predict the temperature profile along the connector and the surrounding conductors, the proposed transient model takes into account the three-dimensional ge...

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Section: Convective Coefficient Of the Connectormentioning

confidence: 99%

Transient thermal modelling of substation connectors by means of dimensionality reduction

Abomailek

Capelli

Riba

et al. 2017

Applied Thermal Engineering

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“…According to the invention of Rosen-type PT, various types of PTs are gradually developed such as longitudinal traveling wave PT [2], stacked disk-type PT [3,4], uniformly-poled disk-type PT [5], and ring-type PT [6][7][8]. Boukazouha et al [9] proposed a novel one-dimensional (1D) analytical model for a Rosen-type PT that predicts voltage gain at the second and third resonance frequency modes. The error is less than 10% when compared to a three-dimensional (3D) finite element analysis and experimental results.…”

Section: Introductionmentioning

confidence: 99%

An Electromechanical Model for Clamped-Edge Bimorph Disk Type Piezoelectric Transformer Utilizing Kirchhoff Thin Plate Theory

Chen

Gunawan

2022

Sensors

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In this paper, an analytical solution for a clamped-edge bimorph disk-type piezoelectric transformer with Kirchhoff thin plate theory is proposed. The electromechanical equations for transient motions are first derived, and coupled expressions for mechanical response and voltage output are obtained. For the case of excitation around the first resonant frequency, the resulting equations are further simplified. There are analytical solutions for a mechanical response, voltage, current, and power outputs. According to the analytical model, the output voltage is affected by the inner radius of the input and output electrodes, the radius of the piezoelectric transformer (PT), and the thickness ratio between the lead zirconate titanate (PZT) layer and the substrate. When the inner radius of the input electrode approaches zero (electrode becomes circular shape), it achieves maximum output voltage at the first resonance frequency excitation. On the contrary, when the inner radius of the output electrode approaches zero, the output voltage reaches its minimum value. Voltage ratios remain constant as the disk radius changes, and the first resonance frequency is inversely proportional to the square of the disk radius. The voltage ratio is fixed even with the miniaturization of the PT.

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Experimental and Numerical Investigation of PZT Response in Composite Structures with Variable Degradation Levels

Memmolo

Elahi

Eugeni

et al. 2019

J. of Materi Eng and Perform

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A comparison of 1D analytical model and 3D Finite Element Analysis with experiments for a Rosen-type piezoelectric transformer

Cited by 11 publications

References 19 publications

Transient thermal modelling of substation connectors by means of dimensionality reduction

Transient thermal modelling of substation connectors by means of dimensionality reduction

An Electromechanical Model for Clamped-Edge Bimorph Disk Type Piezoelectric Transformer Utilizing Kirchhoff Thin Plate Theory

Experimental and Numerical Investigation of PZT Response in Composite Structures with Variable Degradation Levels

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