基于统计复杂度下随机双稳态能量采集系统的随机共振  

Stochastic Resonance of a Stochastic Bistable Energy Harvesting System Based on Statistical Complexity

作　　者：乔艳辉 

机构地区：[1]兰州交通大学数理学院,甘肃 兰州

出　　处：《应用数学进展》2024年第3期1067-1079,共13页Advances in Applied Mathematics

摘　　要：针对泊松白噪声和周期信号共同作用下双稳态能量采集系统,运用统计复杂度方法度量了系统的随机共振行为和采能效率。首先,通过数值方法计算了系统的统计复杂度和有效输出功率;其次,深入研究噪声、系统以及信号等参数对系统随机共振现象与采能效率的影响;最后,从信息论的角度解析了随机共振与系统采能效率之间的关系。结果显示,统计复杂度曲线的非单调演化趋势意味着系统产生了随机共振现象;选取合适的噪声强度、耦合系数及阻尼系数等能够增强系统的随机共振行为。此外,均方电压和有效输出功率曲线与统计复杂度曲线具有相同的演化规律,即当系统产生随机共振行为时,采能效率达到最大化。For the bistable energy harvesting system under the combined action of Poisson white noise and periodic signal, the statistical complexity method is used to measure the stochastic resonance behavior and energy recovery efficiency of the system. Firstly, the statistical complexity and effective output power of the system are calculated by numerical methods. Secondly, the influence of noise, system and signal parameters on the stochastic resonance phenomenon and energy recovery efficiency of the system is deeply studied. Finally, from the perspective of information theory, the relationship between stochastic resonance and the energy recovery efficiency of the system is analyzed. The results show that the non-monotonic evolution trend of the statistical complexity curve means that the system produces stochastic resonance. Selecting appropriate noise intensity, coupling coefficient and damping coefficient can enhance the stochastic resonance behavior of the system. In addition, the mean square voltage and effective output power curves have the same evolution law as the statistical complexity curve, that is, when the system produces random resonance behavior, the energy recovery efficiency is maximized.

关 键 词：统计复杂度 双稳态能量采集系统 泊松白噪声 随机共振 

分 类 号：TP3[自动化与计算机技术—计算机科学与技术]