泊松白噪声激励下双稳态能量采集系统的动力学复杂性

Dynamical complexity of a bistable energy harvesting system under Poisson white noise excitation

运用统计复杂度刻画了泊松白噪声与周期信号共同作用下双稳态能量采集系统的动力学复杂性。考虑到泊松白噪声的复杂统计特性,首先,运用Bandt-Pompt算法构造了双稳态能量采集系统响应的驻留时间间隔,基于此得到了系统的统计复杂度与标准Shannon熵;其次,采用数值方法计算了该系统的均方电压和有效输出功率;最后,详细地分析了泊松白噪声、耦合系数、阻尼系数、周期信号等参数对系统动力学复杂性与能量采集效率的影响。结果表明,统计复杂度曲线与标准Shannon熵曲线的非单调演化趋势表明系统产生了随机共振现象,选取合适的系统参数能够促进随机共振行为,此时系统的动力学复杂性达到最大化。此外,均方电压与有效输出功率随着参数的变化趋势与统计复杂度曲线的演化行为相一致,且随机共振行为发生时,此时系统的能量采集效率最高。

The dynamic complexity of a bistable energy harvesting system under the combined effect of Poisson white noise and periodic signals was depicted by statistical complexity.Considering the complex statistical properties of Poisson white noise,firstly,the Bandt-Pompt algorithm was used to construct the residence time interval of the response of the bistable energy harvesting system,based on which the statistical complexity and standard Shannon entropy of the system were obtained.Then,the mean square voltage and effective output power of the system were calculated by numerical methods.Finally,the effects of the Poisson white noise,coupling coefficient,damping coefficient and periodic signal on the dynamics complexity and energy harvesting efficiency of the system were analyzed in detail.The results show that the non-monotonic evolution trend of the statistical complexity curve and the standard Shannon entropy curve indicates that the stochastic resonance phenomenon is generated in the system,and the selection of appropriate system parameters can promote the stochastic resonance behavior,at this time,the dynamical complexity of the system reaches maximum.In addition,the change trends of the mean square voltage and effective output power with the change of parameters are consistent with the evolutionary behavior of the statistical complexity curves,and when the stochastic resonance behavior occurs,the system has the highest energy harvesting efficiency.