Stochastic resonance in a piecewise bistable energy harvesting model driven by harmonic excitation and additive Gaussian white noise

Huang, Xingbao

doi:10.1016/j.apm.2020.09.023

Cited by 26 publications

(6 citation statements)

References 48 publications

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“…The following details begin with the basic SR model. The classical bistable stochastic resonance model can be expressed as [17][18][19][20]： ( )…”

Section: B Adaptive Variable Scale Sr Algorithmmentioning

confidence: 99%

Early Weak Fault Signal Enhancement and Recognition Method of Rudder Paddle Bearings Based on Parameter Adaptive Stochastic Resonance

Yongdong,

Junxian,

Yonggang

2024

IEEE Access

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Aiming at the problem that the characteristic frequency amplitude of early bearing fault signals is weak and difficult to extract under the strong noise, a vibration signal enhancement method based on maximum overlapping wavelet packet transform (MODWPT) and adaptive stochastic resonance (SR) is proposed. Based on multiple single-component signals decomposed by MODWPT, a signal enhancement and reconstruction model of the ordinary variable scale SR system is constructed. At the same time, the whale optimization algorithm (WOA) algorithm is adopted to optimize the parameters of the SR system adaptively with the improved signal noise ratio (ISNR) index as the fitness function. Finally, a feature-enhanced version of the original signal is obtained and transformed into a time-frequency image dataset using a twodimensional wavelet transform, which can be input into the Resnet network for fault identification and classification. Based on a set of early fault data from IMS and marine bearing data, the significant effect of the proposed method on early fault signal feature enhancement is verified. By comparing the fault characteristic frequency and its frequency doubling before and after the enhancement of the envelope spectrum, the component noise component is suppressed, and the fault frequency amplitude is highlighted under the action of SR potential function. This method can effectively improve the fault recognition accuracy, which has a certain application prospect.

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“…The following details begin with the basic SR model. The classical bistable stochastic resonance model can be expressed as [17][18][19][20]： ( )…”

Section: B Adaptive Variable Scale Sr Algorithmmentioning

confidence: 99%

Early Weak Fault Signal Enhancement and Recognition Method of Rudder Paddle Bearings Based on Parameter Adaptive Stochastic Resonance

Yongdong,

Junxian,

Yonggang

2024

IEEE Access

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“…Therefore, the conventional impedance matching method widely used in vibration energy harvester is no longer suitable for deriving analytical solutions for galloping energy harvester. Therefore, although lots of structural nonlinearities were claimed to have the capability of improving the maximum power of galloping energy harvesting [29][30][31][32], the power limit problem of these nonlinear galloping energy harvesters was rarely studied. Therefore, a new theoretical analysis method is urgently needed to investigate the power characteristics of galloping-based energy harvesters.…”

Section: Introductionmentioning

confidence: 99%

Theoretical Analysis of the Power Performance of a Monostable Galloping-Based Piezoelectric Energy Harvester

Zhang,

Lan,

et al. 2024

International Journal of Energy Research

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In the past few years, different kinds of structural nonlinearities, such as external magnetic interaction and multistable structures, have been introduced into galloping energy harvesters to enhance energy harvesting efficiency. However, since the galloping-based piezoelectric energy harvester (GPEH) is a self-excited system, the conventional impedance matching method that is widely used in vibration energy harvesters is no longer valid for it. Therefore, the power characteristics of the nonlinear GPEH are still an open question to be solved. To this end, this paper is motivated to derive the approximate analytical solution of a monostable galloping-based piezoelectric energy harvester through the harmonic balance method and impedance matching theory. The analytical maximum power, power limit, and critical electromechanical coupling are studied from the perspective of the influence of structural nonlinearity on the power performance. Firstly, the approximate analytical solutions of output power, power limit, optimal resistance, and critical electromechanical coupling coefficient are derived. The accuracy of the analytical solution is verified by numerical simulation. It is found that the influence of structural nonlinearity on the power characteristics of the nonlinear GPEH is quite different under different wind speeds. After that, the power characteristics of the system under different wind speeds and different coupling conditions are investigated. The results showed that the maximum power of the system can be increased by introducing stiffness nonlinearity under low wind speed and weakly coupled configuration. Even more, the system can be shifted into a strongly coupled system when the nonlinearity is enhanced to a certain level. Reasonable design of stiffness nonlinearity can effectively reduce the critical electromechanical coupling, which indicates that stiffness nonlinearity is a feasible and effective way to improve the power performance of low-speed wind energy harvesting.

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“…The phenomenon of stochastic resonance (SR) is an interesting nonlinear phenomenon occurring in a noisy system, which means that the addition of certain amount of noise can optimizing the system output performance thanks to the cooperation between the noise and the system [7][8][9][10][11][12][13][14][15][16]. The SR phenomenon for various kinds of systems with cross-correlated noise has received great attention [17][18][19][20][21][22][23][24][25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Influence of colored cross-correlated noise on stochastic resonance for an underdamped bistable system subjected to multiplicative and additive noises

Qiu

Jiang

Yuan³

et al. 2023

Phys. Scr.

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The stochastic resonance (SR) behavior for an underdamped bistable system with colored cross-correlated noise between multiplicative and additive noise is investigated. The stationary probability density is obtained under the condition of the detailed balance. The expressions for the signal-to-noise ratios (SNRs) for two initial states is deduced by applying two-state theory under the adiabatic condition. The analysis result indicates that the SR phenomenon takes place when the SNRs vary with the coupling strength and the correlation time of the cross-correlated noise. Double SR phenomenon occurs on SNRs’ curves with the increase of the strength of the additive noise. One resonance peak exists when the SNRs change with the damping coefficient and with the intensity of the multiplicative noise.

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Stochastic resonance in a piecewise bistable energy harvesting model driven by harmonic excitation and additive Gaussian white noise

Cited by 26 publications

References 48 publications

Early Weak Fault Signal Enhancement and Recognition Method of Rudder Paddle Bearings Based on Parameter Adaptive Stochastic Resonance

Early Weak Fault Signal Enhancement and Recognition Method of Rudder Paddle Bearings Based on Parameter Adaptive Stochastic Resonance

Theoretical Analysis of the Power Performance of a Monostable Galloping-Based Piezoelectric Energy Harvester

Influence of colored cross-correlated noise on stochastic resonance for an underdamped bistable system subjected to multiplicative and additive noises

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