Research and application of stochastic resonance in quad-stable potential system

doi:10.1088/1674-1056/ac4228

中国物理B ›› 2022, Vol. 31 ›› Issue (7): 70503-070503.doi: 10.1088/1674-1056/ac4228

Research and application of stochastic resonance in quad-stable potential system

Li-Fang He(贺利芳), Qiu-Ling Liu(刘秋玲)^†, and Tian-Qi Zhang(张天骐)

School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications(CQUPT), Chongqing 400065, China

收稿日期:2021-10-19 修回日期:2021-11-16 接受日期:2021-12-11 出版日期:2022-06-09 发布日期:2022-07-19
通讯作者: Qiu-Ling Liu E-mail:1216881140@qq.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 61771085) and the Research Project of Chongqing Educational Commission (Grant Nos. KJ1600407 and KJQN201900601).

Research and application of stochastic resonance in quad-stable potential system

Li-Fang He(贺利芳), Qiu-Ling Liu(刘秋玲)^†, and Tian-Qi Zhang(张天骐)

School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications(CQUPT), Chongqing 400065, China

Received:2021-10-19 Revised:2021-11-16 Accepted:2021-12-11 Online:2022-06-09 Published:2022-07-19
Contact: Qiu-Ling Liu E-mail:1216881140@qq.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 61771085) and the Research Project of Chongqing Educational Commission (Grant Nos. KJ1600407 and KJQN201900601).

摘要/Abstract

摘要： To solve the problem of low weak signal enhancement performance in the quad-stable system, a new quad-stable potential stochastic resonance (QSR) is proposed. Firstly, under the condition of adiabatic approximation theory, the stationary probability distribution (SPD), the mean first passage time (MFPT), the work (W), and the power spectrum amplification factor (SAF) are derived, and the impacts of system parameters on them are also extensively analyzed. Secondly, numerical simulations are performed to compare QSR with the classical Tri-stable stochastic resonance (CTSR) by using the genetic algorithm (GA) and the fourth-order Runge-Kutta algorithm. It shows that the signal-to-noise ratio (SNR) and mean signal-to-noise increase (MSNRI) of QSR are higher than CTSR, which indicates that QSR has superior noise immunity than CTSR. Finally, the two systems are applied in the detection of real bearing faults. The experimental results show that QSR is superior to CTSR, which provides a better theoretical significance and reference value for practical engineering application.

关键词: bearing fault detection, QSR, weak signal detection, SAF, W

Abstract: To solve the problem of low weak signal enhancement performance in the quad-stable system, a new quad-stable potential stochastic resonance (QSR) is proposed. Firstly, under the condition of adiabatic approximation theory, the stationary probability distribution (SPD), the mean first passage time (MFPT), the work (W), and the power spectrum amplification factor (SAF) are derived, and the impacts of system parameters on them are also extensively analyzed. Secondly, numerical simulations are performed to compare QSR with the classical Tri-stable stochastic resonance (CTSR) by using the genetic algorithm (GA) and the fourth-order Runge-Kutta algorithm. It shows that the signal-to-noise ratio (SNR) and mean signal-to-noise increase (MSNRI) of QSR are higher than CTSR, which indicates that QSR has superior noise immunity than CTSR. Finally, the two systems are applied in the detection of real bearing faults. The experimental results show that QSR is superior to CTSR, which provides a better theoretical significance and reference value for practical engineering application.

Key words: bearing fault detection, QSR, weak signal detection, SAF, W

中图分类号: (Fluctuation phenomena, random processes, noise, and Brownian motion)

05.40.-a

05.45.-a (Nonlinear dynamics and chaos) 05.40.Fb (Random walks and Levy flights) 02.60.Cb (Numerical simulation; solution of equations)

Li-Fang He(贺利芳), Qiu-Ling Liu(刘秋玲), and Tian-Qi Zhang(张天骐). Research and application of stochastic resonance in quad-stable potential system[J]. 中国物理B, 2022, 31(7): 70503-070503.

Li-Fang He(贺利芳), Qiu-Ling Liu(刘秋玲), and Tian-Qi Zhang(张天骐). Research and application of stochastic resonance in quad-stable potential system[J]. Chin. Phys. B, 2022, 31(7): 70503-070503.

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Research and application of stochastic resonance in quad-stable potential system

Research and application of stochastic resonance in quad-stable potential system

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