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Hybrid electromagnetic and piezoelectric vibration energy harvester with Gaussian white noise excitation

Author

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  • Foupouapouognigni, O.
  • Nono Dueyou Buckjohn, C.
  • Siewe Siewe, M.
  • Tchawoua, C.

Abstract

In this work, we investigated the dynamical behavior of the hybrid energy harvester under Gaussian white noise using probabilistic approach. We find that under the influence of this kind of noise, the dynamics of the nonlinear electromechanical system exhibited the stochastic bifurcation which is characterized by a qualitative change of the stationary probability distribution. A stochastic averaging method is applied in this system in the aim to build the Itô Stochastic differential equations. From these equations, the Fokker–Planck Equations (FPE) of the electromechanical system is constructed whose the solution at the stationary state is a probability density. By combining the harmonic excitation to the random force, the harvested energy is improved. We also provided the optimization rate of the hybrid system with respect to the piezoelectric system. Besides, the comparison between the power obtained by the hybrid model, piezoelectric and electromagnetic energy harvester shows the interest to build the hybrid model. The analytical results agree very well with numerical simulation.

Suggested Citation

  • Foupouapouognigni, O. & Nono Dueyou Buckjohn, C. & Siewe Siewe, M. & Tchawoua, C., 2018. "Hybrid electromagnetic and piezoelectric vibration energy harvester with Gaussian white noise excitation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 346-360.
    • Handle: RePEc:eee:phsmap:v:509:y:2018:i:c:p:346-360
    DOI: 10.1016/j.physa.2018.06.026
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    Citations

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    Cited by:

    1. Khaje khabaz, Moahamad & Eftekhari, S. Ali & Hashemian, Mohamad & Toghraie, Davood, 2020. "Optimal vibration control of multi-layer micro-beams actuated by piezoelectric layer based on modified couple stress and surface stress elasticity theories," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 546(C).
    2. Fezeu, G.J. & Fokou, I.S. Mokem & Buckjohn, C. Nono Dueyou & Siewe Siewe, M. & Tchawoua, C., 2020. "Resistance induced P-bifurcation and Ghost-Stochastic resonance of a hybrid energy harvester under colored noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 557(C).
    3. Yang, Tao & Cao, Qingjie, 2020. "Dynamics and high-efficiency of a novel multi-stable energy harvesting system," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).

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