Stochastic Averaging for the Piezoelectric Energy Harvesting System With Fractional Derivative Element

Ya-Hui Sun,Yong-Ge Yang

doi:10.1109/access.2020.2983540

Ya-Hui Sun, Yong-Ge Yang

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https://doi.org/10.1109/access.2020.2983540

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Journal: IEEE Access	Publication Date: Jan 1, 2020
Citations: 11	License type: CC BY 4.0

Affiliation: Guangdong University of Technology

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Combining the stochastic averaging method and generalized harmonic function, we propose a procedure to investigate the fractional-order energy harvesting system. First, we can obtain the approximately equivalent system by means of the generalized harmonic transformation; Second, the stochastic averaging method is utilized to get the approximate stationary solutions of the simplified system. Finally, In order to illustrate the accuracy of the developed scheme, two examples are carried out. The results show that the developed procedure has a satisfactory reliability. The influences of the intensity of noise excitation, the fractional order, the fractional coefficient and the nonlinear restoring force on the mean-square voltage (MSV) and mean output power (MOP) are also investigated.

Highlights

Vibration energy harvesting system can employ the ambient vibration energy to power compact and integrated electronic devices, including but not limited to wireless sensors and medical implants [1]–[3]
Liu et al [11] studied the chaotic behavior of the vibration energy harvester with fractional order damping by using the random Melnikov method
Spanos et al [20] considered the steady-state response of the fractional-order hysteretic systems with the help of the equivalent linearization technique

Summary

INTRODUCTION

Vibration energy harvesting system can employ the ambient vibration energy to power compact and integrated electronic devices, including but not limited to wireless sensors and medical implants [1]–[3]. Stochastic averaging method [14]–[16] was utilized to investigate the energy harvesting systems. Spanos et al [20] considered the steady-state response of the fractional-order hysteretic systems with the help of the equivalent linearization technique. Based on the Galerkin scheme, Di Matteo et al [24] put forward a method to determine the survival probability and first-passage probability of the fractional-order hysteretic systems. Yang: Stochastic Averaging for the Piezoelectric Energy Harvesting System With Fractional Derivative Element averaging method, Yang and Xu [28] investigated the stochastic response of mono-stable fractional-order vibration energy harvesting systems. In order to resolve this limitation, combining the stochastic averaging method and generalized harmonic function, we put forward a method to investigate the piezoelectric energy harvesting system with fractional derivative element in this paper

SYSTEM DESCRIPTION AND ITS SIMPLIFICATION

CONCLUSIONS