Power expectation as a unified metric for the evaluation of vibration energy harvesters

Saint-Martin, Camille; Morel, Adrien; Charleux, Ludovic; Roux, Émile; Benhemou, Aya; Badel, Adrien

doi:10.1016/j.ymssp.2022.109482

Cited by 14 publications

(14 citation statements)

References 44 publications

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“…These phase portraits illustrate that interwell and intrawell motions are relatively close to the iso-energy orbits shown in Fig. 3.b, and are consistent with other publications on bistable energy harvesters [27].…”

Section: Resultssupporting

confidence: 91%

Simple analytical models and analysis of bistable vibration energy harvesters

Morel¹,

Charleux²,

Demouron³

et al. 2022

Smart Mater. Struct.

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In order to scavenge the energy of ambient vibrations, bistable vibration energy harvesters constitute a promising solution due to their large frequency bandwidth. Because of their complex dynamics, simple models that easily explain and predict the behavior of such harvesters are missing from the literature. To tackle this issue, this paper derives simple analytical closed-form models of the characteristics of bistable energy harvesters (e.g., power-frequency response, displacement response, cut-off frequency of the interwell motion) by mean of truncated harmonic balance methods. Measurements on a bistable piezoelectric energy harvester illustrate that the proposed analytical models allow the prediction of the mechanical displacement and harvested power, with a relative error below 10%. From these models, the influences of various parameters such as the inertial mass, the acceleration amplitude, the electromechanical coupling, and the resistive load, are derived, analyzed and discussed. The proposed models and analysis give an intuitive understanding of the dynamics of bistable vibration energy harvesters, and can be exploited for their design and optimization.

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Section: Resultssupporting

confidence: 91%

Simple analytical models and analysis of bistable vibration energy harvesters

Morel¹,

Charleux²,

Demouron³

et al. 2022

Smart Mater. Struct.

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“…Figure 3(a) shows the mean harvested power associated with existing orbits as a function of driving frequency f d in [20 Hz, 100 Hz] when R = 1/2Cpω d for each driving frequency (which corresponds to the resistance value maximizing electrically induced damping [32] whose formula is valid for a harmonic excitation). Note that "Other" gathers sub-harmonic orbits and chaos [8,33]. Producing Fig.…”

Section: Bistable Veh Behaviorsmentioning

confidence: 99%

Optimized and Robust Orbit Jump for Nonlinear Vibration Energy Harvesting

Saint-Martin

Morel

Charleux

et al. 2023

Preprint

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This paper introduces an optimized orbit jump strategy for nonlinear Vibration Energy Harvesters (VEHs). Nonlinear VEHs are a promising alternative to linear VEHs due to their broadband characteristics. However, they exhibit complex dynamical behaviors, including not only high-power inter-well orbits but also low-power intra-well orbits and chaos. The existence of low-power orbits in their dynamics can restrict their energy harvesting performance. In order to overcome this issue, this study investigates an orbit jump strategy that allows the VEH to transition from low-power intra-well orbits to high-power inter-well orbits. This strategy, based on varying the buckling level of a bistable VEH, has been previously studied but not yet optimized. In this study, we define an optimization criterion that maximizes both the effectiveness and robustness of the orbit jump strategy. We developed a Python CUDA code using GPU parallel computing to handle the large number of numerical resolutions of the nonlinear VEH model. Experimental tests were performed on a bistable VEH over a frequency range of 30 Hz, validating the numerical results obtained with the optimized orbit jump strategy. The results indicate that the energy consumption required for a successful orbit jump ranges between 0.2 mJ and 1 mJ, and can be restored within 0.2 s in the worst case. Experimental results show an average success rate of 48%, despite a variation of ±15% in the starting and ending times of the jump, leading to a robust and optimized orbit jump strategy. The proposed optimization procedure can be applied to other orbit jump strategies, and other types of nonlinear VEHs.

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“…Due to its bistability, the harvester may exhibit two families of orbits, known as intra-well and inter-well motions [9]. Intra-well motion consists in small oscillations of the inertial mass around one of the two stable positions 𝑥 = ±𝑥 0 whereas inter-well motion consists in oscillations around the two stable positions.…”

Section: A Bistable Piezoelectric Energy Harvestermentioning

confidence: 99%

“…In their work, Sneller et al studied the impact of the inertial mass in order to optimize bistable PEH [7]. More recently, Liu et al [8] and Saint-Martin et al [9] proposed parametric analysis of bistable PEH, describing the impact and influence of each parameter of bistable PEH.…”

Section: Introductionmentioning

confidence: 99%

Resistive Load Influence on the Power and Bandwidth of Bistable Energy Harvesters

Demouron

Morel

Gibus

et al. 2022

2022 IEEE 7th Forum on Research and Technologies for Society and Industry Innovation (RTSI)

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Bistable piezoelectric energy harvesters are prominent solutions in the field of vibration energy harvesting due to their broadband behavior. However, the impact of the electrical interface and especially the load impedance needs to be addressed. In this study, the impact of the electrical load resistance on the dynamic of the bistable piezoelectric energy harvester has been studied. Through a parametric study, the present paper shows that the load resistance impacts both the harvested power and the bandwidth of the harvester. The analytical expression of the mass displacement, critical angular frequency and harvested power have been obtained, based on a truncated harmonic balance method. A comparison between the analytical model and experimental measurement on a custom bistable energy harvester is then presented. The experimental results are in good agreement with the analytical model, which proves the validity of the proposed model and analysis. The results presented in this study should be considered in the development of maximum power point tracking algorithms and orbit jump strategies.

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Power expectation as a unified metric for the evaluation of vibration energy harvesters

Cited by 14 publications

References 44 publications

Simple analytical models and analysis of bistable vibration energy harvesters

Simple analytical models and analysis of bistable vibration energy harvesters

Optimized and Robust Orbit Jump for Nonlinear Vibration Energy Harvesting

Resistive Load Influence on the Power and Bandwidth of Bistable Energy Harvesters

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