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Drastic bandwidth enhancement of bistable energy harvesters: Study of subharmonic behaviors and their stability robustness

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  • Huguet, Thomas
  • Badel, Adrien
  • Druet, Olivier
  • Lallart, Mickaël

Abstract

In order to provide a serious alternative to chemical batteries for the energy supply of isolated sensors, bistable generators have been enthusiastically highlighted in recent years for their ability to harvest vibration energy over a wider frequency range compared to linear generators. Nevertheless, these bistable harvesters are generally characterized through a frequency sweep which does not reveal all the steady-state behaviors they can reach and therefore their full energy harvesting potential. Among such behaviors, subharmonic motions are hidden by this classical characterization and therefore had not received a lot of attention. This study proposes an original complete analytical analysis of subharmonic orbits for energy harvesting to predict their contribution to the global bandwidth of bistable generators. In addition, a new criterion, referred as stability robustness, is introduced to estimate the sensitivity of those behaviors to disturbances of different levels, allowing to finely and accurately estimate suitable behaviors for energy harvesting purposes in realistic conditions (behaviors easy to reach and maintain in time). Experimental results conducted with a buckled beam based electromagnetic generator confirm the relevance of this criterion showing good agreement with the analytical predictions. Subharmonic behaviors finally appear, both theoretically and experimentally, to be of significant interest, as exploiting them leads to a 180% increase of the global operating frequency range of the considered bistable energy harvester, for which more than 100 µW are generated on a 70 Hz bandwidth at 0.5 g.

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  • Huguet, Thomas & Badel, Adrien & Druet, Olivier & Lallart, Mickaël, 2018. "Drastic bandwidth enhancement of bistable energy harvesters: Study of subharmonic behaviors and their stability robustness," Applied Energy, Elsevier, vol. 226(C), pages 607-617.
    • Handle: RePEc:eee:appene:v:226:y:2018:i:c:p:607-617
    DOI: 10.1016/j.apenergy.2018.06.011
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    References listed on IDEAS

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    5. Eghbali, Pejman & Younesian, Davood & Farhangdoust, Saman, 2020. "Enhancement of the low-frequency acoustic energy harvesting with auxetic resonators," Applied Energy, Elsevier, vol. 270(C).
    6. Sungryong Bae & Pilkee Kim, 2021. "Load Resistance Optimization of a Broadband Bistable Piezoelectric Energy Harvester for Primary Harmonic and Subharmonic Behaviors," Sustainability, MDPI, vol. 13(5), pages 1-12, March.
    7. Wu, Yipeng & Qiu, Jinhao & Zhou, Shengpeng & Ji, Hongli & Chen, Yang & Li, Sen, 2018. "A piezoelectric spring pendulum oscillator used for multi-directional and ultra-low frequency vibration energy harvesting," Applied Energy, Elsevier, vol. 231(C), pages 600-614.
    8. Lallart, Mickaël & Zhou, Shengxi & Yang, Zhichun & Yan, Linjuan & Li, Kui & Chen, Yu, 2020. "Coupling mechanical and electrical nonlinearities: The effect of synchronized discharging on tristable energy harvesters," Applied Energy, Elsevier, vol. 266(C).
    9. Grzegorz Litak & Jerzy Margielewicz & Damian Gąska & Piotr Wolszczak & Shengxi Zhou, 2021. "Multiple Solutions of the Tristable Energy Harvester," Energies, MDPI, vol. 14(5), pages 1-17, February.
    10. Margielewicz, Jerzy & Gąska, Damian & Litak, Grzegorz & Haniszewski, Tomasz & Wolszczak, Piotr & Trigona, Carlo, 2023. "Influence of the potential barrier switching frequency on the effectiveness of energy harvesting," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).

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