Nonlinear multi-scale dynamics modeling of piezoceramic energy harvesters with ferroelectric and ferroelastic hysteresis

Montegiglio, Pasquale; Maruccio, Claudio; Acciani, G.; Rizzello, Gianluca; Seelecke, Stefan

doi:10.1007/s11071-020-05660-0

Cited by 10 publications

(10 citation statements)

References 29 publications

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“…The dynamic behavior of the inductively coupled system was calculated using q-u characteristics describing a particular state of the dielectric in the ceramic capacitors. However, it is evident from the literature that more complex models are required to model the dynamic behavior of ferroelectric materials [10]. In other words, the coefficients β0 and β1 should be a function of voltage.…”

Section: Discussionmentioning

confidence: 99%

Investigation of an embedded closed-loop stimulation current control principle based on the use of nonlinear ceramic capacitors

Olsommer

Ihmig

2021

Current Directions in Biomedical Engineering

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Over the years, a constant progress in the development of implantable medical devices (IMD’s) can be observed. On one hand, the advanced implantable electronics enable the implementation of numerous smart functionalities, on the other hand, the variety of electronic components including sensors and a bulky battery severely restrict their degree of miniaturization and reliability. To overcome this limitation, our approach is to realize smart functionalities in leadless and battery-free IMD’s emerging from frugal innovation by exploiting the intrinsic nonlinear properties of the components to be used anyway. The aim of this work is to deepen the understanding of the dynamic behavior of circuit topologies of nonlinear ferroelectric ceramic capacitors and to investigate their potential use for an embedded closed-loop control of the stimulation current. We characterized a selection of 40 commercial ceramic capacitors by measurement and simulation. The degree of nonlinearity resulting from a circuit topology consisting of one, two series and two parallel connected nonlinear capacitors was modeled and evaluated in Mathcad. We present a model with parameterized nonlinear capacitors to simulate the dynamic behavior of an inductively coupled implantable system. The stabilization and amplitude of the stimulation current is controlled by two features. These features are in turn controlled by the circuit topology and the degree of nonlinearity of the capacitors. We found that a high degree of nonlinearity allows the stimulation current to be stabilized within a reasonable range, but it makes the system more prone to instability. However, our model needs to include the dynamic behavior of ferroelectric materials used as dielectric in ceramic capacitors to extend the current investigations and to deepen the understanding of the physics behind the nonlinear properties of ferroelectric capacitors.

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Section: Discussionmentioning

confidence: 99%

Investigation of an embedded closed-loop stimulation current control principle based on the use of nonlinear ceramic capacitors

Olsommer

Ihmig

2021

Current Directions in Biomedical Engineering

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“…As an example, in [28, 3 IEEE TRANSACTIONS ON POWER ELECTRONICS 29] the nonlinear behavior of ferroelectric MLCCs was modeled with an equivalent experimentally measured differential capacitance, neglecting ferroelectric hysteresis. Recently, models were developed to describe the nonlinear properties of single-crystal piezoelectric transducers on a physical level [41]. Conventional models for such devices are based on phenomenological approaches, whereby the insight into the physics behind the nonlinear properties is missing.…”

Section: B Mlcc Modeling Approachesmentioning

confidence: 99%

“…Conventional models for such devices are based on phenomenological approaches, whereby the insight into the physics behind the nonlinear properties is missing. In the physics-based model presented in [41], instead, ferroelastic and ferroelectric hysteresis are modeled by reproducing the switching processes of electric dipoles through a thermodynamic transition probability approach. The adopted free-energy framework makes it possible to easily extend the constitutive equations, and adapt them to further modeling purposes.…”

Section: B Mlcc Modeling Approachesmentioning

confidence: 99%

Physics-Based Modeling of Ferroelectric Hysteresis for Ceramic Capacitors in Inductively Coupled Microstimulators

Olsommer,

Ihmig,

Rizzello

2024

IEEE Trans. Power Electron.

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In this paper, we present a physics-based model for nonlinear and hysteretic ferroelectric capacitors in inductively coupled microstimulator circuits. The purpose of this model is to predict the system's dynamic response as a function of the dielectric material properties, with the aim of optimizing the performance in passive power control applications. We describe the workflow starting from the extraction of the dielectric material properties of commercial ceramic capacitors to the implementation into the physics-based model of the overall circuit. Selected capacitors were experimentally characterized at frequencies above 100 kHz by means of both small signals (5 mVrms, ±25 VDC and ±40 VDC) and large signals (±25 VAC and ±40 VAC). Our results show that the developed model is well suited for accurately predicting the circuit's stimulation current for highly nonlinear capacitors and exhibits higher precision compared to commonly used models based on differential capacitance. Preliminary in vitro measurement results are finally described to provide proof of concept of the envisioned modelbased passive power control in implantable microstimulators.

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“…On the other hand, in the practical issue of energy harvester design, as a rule, the values of external excitation have to exceed the linear response threshold. Thus, there is a hysteresis dependence of voltage, charge, and other electrical characteristics on the dynamic parameters of the mechanical subsystem [ 35 , 36 ].…”

Section: Introductionmentioning

confidence: 99%

A Simple Model of the Energy Harvester within a Linear and Hysteresis Approach

et al. 2023

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In this article, a model of an energy harvester, the mechanical part of which is an inverted pendulum, is proposed. We investigated the stability of a linearized system. It was proven that the stabilizing control of the pendulum, based on the feedback principle, enables the stabilization of the system. We have identified the zones of stability and the amplitude–frequency characteristics. In the second part of this article, a generalization of the dynamic system for the case of the hysteresis friction in the mechanical joint is considered. The role of nonlinear effects within the design Preisach model and the phenomenological Bouc–Wen model is shown.

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Nonlinear multi-scale dynamics modeling of piezoceramic energy harvesters with ferroelectric and ferroelastic hysteresis

Cited by 10 publications

References 29 publications

Investigation of an embedded closed-loop stimulation current control principle based on the use of nonlinear ceramic capacitors

Investigation of an embedded closed-loop stimulation current control principle based on the use of nonlinear ceramic capacitors

Physics-Based Modeling of Ferroelectric Hysteresis for Ceramic Capacitors in Inductively Coupled Microstimulators

A Simple Model of the Energy Harvester within a Linear and Hysteresis Approach

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