Simple analytical models and analysis of bistable vibration energy harvesters

Morel, Adrien; Charleux, Ludovic; Demouron, Quentin; Benhemou, Aya; Gibus, David; Saint-Martin, Camille; Carré, Aurélien; Roux, Émile; Huguet, Thomas; Badel, Adrien

doi:10.1088/1361-665x/ac8d3d

Cited by 12 publications

(13 citation statements)

References 40 publications

(170 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Since both the displacement amplitude x m and the angular frequency ω are maximized when the resonance occurs (ω = ω c ), the harvested power P h|ω=ω c is the maximum harvested power for a given damping ratio as demonstrated in [13]. Moreover, the harvested power P h|ω=ω c is maximized when β = 1 (D e = D m ) and reaches the power limit of the PEH as broadly described in the literature [28,29].…”

Section: Sehmentioning

confidence: 78%

“…The complete characterization of the bistable PEH is obtained for 30 resistances between 100 Ω and 10 kΩ on a logarithmic scale and 90 frequencies from 25 Hz to 67 Hz on a linear scale. In the case of bistable PEH operating in inter-well motion, the displacement amplitude of the mass is roughly proportional to the vibration frequency [13]. Consequently, as the frequency increases, so do the displacement and the stresses within the beams and the APA.…”

Section: Experimental Setup and Protocolmentioning

confidence: 99%

“…Due to their highenergy orbits, bistable PEH have been shown to significantly broaden the harvesting bandwidth [12]. Moreover, the mechanical displacement of the inertial mass on inter-well motion (high-energy orbit) is imposed, as demonstrated by Morel et al in 2022 [13] which makes the P-SSHI especially suitable to increase the performance of bistable PEH. However, to date and to the authors knowledge, most of the papers focused on the study of mutual influence of nonlinear PEH and load resistance [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A comparative analysis of parallel SSHI and SEH for bistable vibration energy harvesters

Demouron,

Morel,

Gibus

et al. 2023

Smart Mater. Struct.

Self Cite

View full text Add to dashboard Cite

The present work focuses on ambient vibration energy harvesting. Specifically, this article deals with bistable piezoelectric energy harvesters which exhibits a wider bandwidth than linear oscillators. These complex systems require an energy extraction circuit to rectify their voltage to supply power to autonomous sensors. This energy extraction circuit needs to be optimized in order to increase the harvested power and even the bandwidth of piezoelectric energy harvesters. Because of the complex dynamics of bistable piezoelectric energy harvesters, there is a lack of simple and physically-insightful models in the literature that would allow the understanding and optimization of the extraction circuit. To address this issue, the present work derives closed-form models of a bistable piezoelectric energy harvester coupled to a passive and an active synchronous energy extraction circuit: respectively the standard energy harvesting circuit (SEH) and the parallel synchronized switch harvesting on inductor circuit (P-SSHI). Experimental measurements conducted on a custom bistable piezoelectric energy harvester demonstrate the validity of the proposed models with a relative error lower than 15% on the harvested power and the bandwidth. The proposed models allow to easily understand the influence of the P-SSHI circuit on the dynamics of a bistable piezoelectric energy harvester. Moreover, a comparison of the performance of the SEH and the P-SSHI circuits, valid for any bistable generator, is proposed. The latter shows that under low electromechanical coupling and low acceleration amplitude the P-SSHI circuit leads to multiply the maximum harvested power up to 4.3 compared to the SEH circuit, and the bandwidth by a factor of 2.3.

show abstract

Section: Sehmentioning

confidence: 78%

Section: Experimental Setup and Protocolmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A comparative analysis of parallel SSHI and SEH for bistable vibration energy harvesters

Demouron,

Morel,

Gibus

et al. 2023

Smart Mater. Struct.

Self Cite

View full text Add to dashboard Cite

show abstract

“…where T is the period of the displacement x. 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].…”

Section: Bistable Veh Behaviorsmentioning

confidence: 99%

Optimized and Robust Orbit Jump for Nonlinear Vibration Energy Harvesting

Saint-Martin

Morel

Charleux

et al. 2023

Preprint

View full text Add to dashboard Cite

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.

show abstract

“…As seen in figure 5, the displacement amplitude x with the optimized final orbit is greater than the amplitude without optimization, resulting in a power output of 0.36 mW as opposed to a lower 0.13 mW without optimization. Indeed, since the power is directly proportional to the square of the displacement amplitude [20], optimizing the PWs at this frequency can notably enhance energy harvesting performance. Note that without any orbit jump, the power would be much lower, around 4 µW, which corresponds to the power of the initial low orbit.…”

mentioning

confidence: 99%

Combining orbit jump and potential wells optimizations for nonlinear vibration energy harvesters

Saint-Martin,

Morel,

Charleux

et al. 2023

Smart Mater. Struct.

Self Cite

View full text Add to dashboard Cite

Nonlinear vibration energy harvesters (VEHs) are widely used for scavenging vibrational energy due to their broadband behaviors. However, they exhibit multiple orbits of different powers for a given excitation, including low-power orbits that might limit their performance. To address this issue and enhance nonlinear VEHs performance, various studies have defined orbit jump strategies to transition from low-power to high-power orbits. Another way to maximize the power of nonlinear VEHs is to optimize their geometry by finely engineering their potential wells (PWs). In this letter, we propose an orbit jump strategy for bistable VEHs that combines the two latter approaches, i.e. that simultaneously optimizes their PWs while jumping from low-power to high-power orbits. This orbit jump strategy is optimized using a numerical criterion that takes into account the robustness of the jumps and the invested energy. The proposed orbit jump strategy has been experimentally validated for vibration frequencies between 30 and 60 Hz. It is shown that the proposed approach can increase the power by an average of 121 times over the considered frequency range. Compared to traditional orbit jump strategies, the proposed approach, which combines orbit jumping and PWs optimizations, increases by up to three times the harvested power.

show abstract

Simple analytical models and analysis of bistable vibration energy harvesters

Cited by 12 publications

References 40 publications

A comparative analysis of parallel SSHI and SEH for bistable vibration energy harvesters

A comparative analysis of parallel SSHI and SEH for bistable vibration energy harvesters

Optimized and Robust Orbit Jump for Nonlinear Vibration Energy Harvesting

Combining orbit jump and potential wells optimizations for nonlinear vibration energy harvesters

Contact Info

Product

Resources

About