In this present work, a hybrid energy scavenger using two mechanisms of transduction namely piezoelectric and electromagnetic and subjected to the Gaussian white noise is investigated. The stochastic averaging method is used here in other to construct the Fokker–Plank–Kolmogorov equation of the system whose the statistic response in the stationary state is the probability density. The mean square voltage and current are obtained for different value of white noise intensities as the output power generated by piezoelectric circuit and electromagnetic circuit. In addition, combining the Gaussian white 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 agreement between the analytical method and those obtained numerically validates the effectiveness of analytical investigations. The results obtained in this manuscript reveal that, while the natural frequency is absent in the external coherent force, the amount of energy harvested by the energy scavenging device can be improved for certain value of noise intensity.

中文翻译：

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高斯白噪声下混合能量采集器的概率分析和鬼随机共振

在目前的工作中，使用两种转换机制即压电和电磁并受到高斯白噪声的混合能量清除器进行了研究。这里使用随机平均法来构造系统的 Fokker-Plank-Kolmogorov 方程，该方程在稳态下的统计响应为概率密度。作为压电电路和电磁电路产生的输出功率，得到不同白噪声强度值的均方电压和电流。此外，结合高斯白噪声和相干激发，通过平均停留时间观察到鬼随机共振，并提高了清道夫收集的能量量。分析方法与数值结果之间的一致性验证了分析研究的有效性。本手稿中获得的结果表明，虽然外部相干力中不存在固有频率，但对于一定的噪声强度值，可以提高能量收集装置收集的能量。