首页|期刊导航|传感技术学报|高斯白噪声激励下压电振动能量采集系统的随机共振

高斯白噪声激励下压电振动能量采集系统的随机共振OA

Stochastic Resonance of Piezoelectric Vibration Energy Harvesting System Excited by Gaussian White Noise

中文摘要英文摘要

引入高斯白噪声和谐波激励共同驱动下的双稳态压电振动能量采集系统用以研究旋转汽车轮胎的能量采集能力.首先,运用广义谐波变换法对压电振动能量采集系统中的耦合电压项进行等效分解;其次,采用随机平均法推导出等效解耦系统的平稳概率密度,基于此计算出系统的平均输出功率;再次,根据两态模型理论获得了信噪比表达式;最后,讨论了高斯白噪声和其他参数对系统随机共振行为的影响.结果表明,信噪比曲线的非单调演变趋势说明系统产生了随机共振现象,并且增大噪声强度和耦合系数能促进随机共振行为.此外,平均输出功率随着参数变化的演变趋势与信噪比曲线的演化走向相一致.特别地,当加性噪声强度从 0.005 增大到 0.02 以诱导随机共振出现时,功率转换效率提高 50%,平均输出功率提高10-3 mW;当时间常数比从 0.018 增大到 0.022,功率转换效率上升 35%,平均输出功率提高 8×10-3 mW.

A bistable piezoelectric vibration energy harvesting system driven by Gaussian white noise and harmonic excitation is introduced to study the energy harvesting capability of rotating automotive tire.Firstly,the generalized harmonic transform method is applied to equivalently decompose the coupled voltage terms in the piezoelectric vibration energy harvesting system.Secondly,the stochastic averaging method is used to derive the stationary probability density of the equivalently decoupled system,based on which the average output power is computed.Thirdly,the signal-to-noise ratio expression is obtained based on two-state model theory.Lastly,the effects of Gaussian white noise and other parameters on the stochastic resonance of the system are investigated in detail.The results show that the non-monotonic evolution trend of the signal-to-noise ratio curve indicates the occurrence of stochastic resonance phenomena.With the increase of noise intensity and coupling coefficient,the stochastic resonance behavior is enhanced apparently.It is also found that the evolution of average output power with parameter variation demonstrates a consistent trend to that of the signal-to-noise ratio curves.In particular,when the additive noise intensity is increased from 0.005 to 0.02 to induce the emergence of stochastic resonance,the power conversion efficiency is increased by 50%and the average output power is increased by 10-3 mW,and when the time-constant ratio is increased from 0.018 to 0.022,the power conversion efficiency is increased by 35%and the average output power is increased by 8×10-3 mW.

兰宇婷;何美娟;李凌云

兰州交通大学数理学院,甘肃 兰州 730070兰州交通大学数理学院,甘肃 兰州 730070兰州交通大学数理学院,甘肃 兰州 730070

数理科学

压电振动能量采集系统随机共振随机平均法高斯白噪声

piezoelectric vibration energy harvesting systemstochastic resonancestochastic averagingGaussian white noise

《传感技术学报》 2026 (7)

1441-1450,10

国家自然科学基金项目(11602184,11961039)甘肃省科技计划项目(24JRRA226)兰州交通大学'天佑青年托举人才计划'基金项目

10.3969/j.issn.1004-1699.2026.07.004

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