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Resistance induced P-bifurcation and Ghost-Stochastic resonance of a hybrid energy harvester under colored noise

Author

Listed:
  • Fezeu, G.J.
  • Fokou, I.S. Mokem
  • Buckjohn, C. Nono Dueyou
  • Siewe Siewe, M.
  • Tchawoua, C.

Abstract

In this paper, a hybrid energy harvester using two mechanisms of transduction namely piezoelectric and electromagnetic and subjected to the colored noise is investigated. Using the stochastic averaging method, the Fokker−Planck−Kolmogorov equation of the system is constructed whose the statistic response in the stationary state is the probability density. The mean square voltage and current are obtained for different values of the linear and nonlinear resistance as the output power generated by piezoelectric circuit and electromagnetic circuit. The stability of the harvester is investigated by using probability approach. In addition, combining the colored noise and coherence excitation, the Ghost-Stochastic resonance is observed through the mean residence time and improve the amount of energy harvested by the scavenger. The agreements between the analytical method and those obtained numerically validate the effectiveness of analytical investigations. The results obtained in this manuscript shows the interest to use the load resistance exhibiting the nonlinearity in this research field and also, these results reveal that, while the natural frequency is absent in the coherent excitation, the system performance can be improved for a certain value of noise intensity.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:phsmap:v:557:y:2020:i:c:s0378437120304441
    DOI: 10.1016/j.physa.2020.124857
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    References listed on IDEAS

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    1. Liu, Di & Xu, Yong & Li, Junlin, 2017. "Probabilistic response analysis of nonlinear vibration energy harvesting system driven by Gaussian colored noise," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 806-812.
    2. 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.
    3. Mokem Fokou, I.S. & Nono Dueyou Buckjohn, C. & Siewe Siewe, M. & Tchawoua, C., 2016. "Probabilistic behavior analysis of a sandwiched buckled beam under Gaussian white noise with energy harvesting perspectives," Chaos, Solitons & Fractals, Elsevier, vol. 92(C), pages 101-114.
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