Nonlinear oscillations in a MEMS energy scavenger

Vibrating energy is a renewable energy that can be used to power wireless transducers. This article presents analytical and numerical results that put forward design parameters for optimizing the energy conversion from mechanical vibration to electrical power with an electromagnetic transducer. The studied structure is a flexible structure using an electromagnetic transducer connected to a resistive feedback loop. This passive harvesting circuit is a simplified representation of the storing system usually including a battery and a rectifying electronic. Here the energy harvesting strategy chosen creates an additional viscous damping on the structure. The numerical model of the generator, including the coupling law, predicts the power transferred between electrical and mechanical energies. For a purely resistive feedback, the study of the harvested energy shows that harvesting and stabilization strategies are different. A simple analytical model, derived from modal synthesis techniques, shows that Jacobi's maximal power transfer theorem can be adapted for multi‐physic problems: the electrical and mechanical damping ratios have to be matched to maximize the power transferred. This result is confirmed by experimental measurements. The analytical study also shows that it is possible to use the root locus to choose the two optimal energy harvesting feedback gains and then consequently the harvesting electronic circuit's parameters. Copyright © 2010 John Wiley & Sons, Ltd.

show abstract

“…26. Future studies will involve optimizing vibrating energy harvesting using a non‐linear feedback loop 27.…”

Section: Discussionmentioning

confidence: 99%

Optimization of the power flow extracted from a flexible structure using a control approach

Mammosser

Foltête

Collet

2010

Struct. Control Health Monit.

View full text Add to dashboard Cite

show abstract

“…The goal of all energy harvesting devices is to convert ambient or environmental energy into electrical energy [18,19,29]. A major disadvantage of these technologies is the fact that the amount of electrical energy produced is small.…”

Section: Energy Harvestingmentioning

confidence: 99%

“…In this manuscript we present a review of the analysis of two seemingly unrelated arrays of N mechanical systems: one of vibratory gyroscopes [12,[15][16][17] and the other of energy harvester devices [18,19]. The rationale for coupling is to exploit the emergence of collective synchronized oscillations to optimize the performance: reduce phase drift induced by noise in the case of gyroscopes and increase power output for energy harvesters.…”

Section: Introductionmentioning

confidence: 99%

A Hamiltonian approach to model and analyse networks of nonlinear oscillators: Applications to gyroscopes and energy harvesters

et al. 2015

View full text Add to dashboard Cite

Over the past twelve years, ideas and methods from nonlinear dynamics system theory, in particular, group theoretical methods in bifurcation theory, have been used to study, design, and fabricate novel engineering technologies. For instance, the existence and stability of heteroclinic cycles in coupled bistable systems has been exploited to develop and deploy highly sensitive, lowpower, magnetic and electric field sensors. Also, patterns of behaviour in networks of oscillators with certain symmetry groups have been extensively studied and the results have been applied to conceptualize a multifrequency up/down converter, a channelizer to lock into incoming signals, and a microwave signal generator at the nanoscale. In this manuscript, a review of the most recent work on modelling and analysis of two seemingly different systems, an array of gyroscopes and an array of energy harvesters, is presented. Empirical values of operational parameters suggest that damping and external forcing occur at a lower scale compared to other parameters, so that the individual units can be treated as Hamiltonian systems. Casting the governing equations in Hamiltonian form leads to a common approach to study both arrays. More importantly, the approach yields analytical expressions for the onset of bifurcations to synchronized oscillations. The expressions are valid for arrays of any size and the ensuing synchronized oscillations are critical to enhance performance.

show abstract

“…Namely, one can easily convert the almost ubiquitous ambient energy into electricity, such as the electromagnetic energy, the mechanical energy, the thermal energy, and so on. Adopting the nonlinear stochastic energy harvesting model instead of the linear model is an effective way of enhancing efficiency of ambient energy harvesting [1][2][3][4][5][6][7][8][9][10][11][12][13]. For a nonlinear energy harvesting system, in order to gain further the maximum output power, the mean value of the dynamical variable of the system has to be larger, and has to be transduced into the mean value of the output voltage of the system with minor losses, implying that correlation strengths of dynamical variables possesses the important role on the system output [14].…”

Section: Introductionmentioning

confidence: 99%

Oscillatory Correlations of Nonlinear Stochastic Energy Harvesting System

Zhu¹

2019

Proceedings of the 2019 International Conference on Mathematics, Big Data Analysis and Simulation and Modelling (MBDASM 2019)

View full text Add to dashboard Cite

The auto-correlation and cross-correlation of a nonlinear stochastic energy harvesting system are studied by stochastic simulation method, which show periodic oscillation and gradual attenuation, implying that the nonlinear stochastic energy harvesting system possesses complex dynamical behaviors. Among correlations of the dynamical variables, the crosscorrelation strength of system variables x and V is largest, which possess the important effect on the system output. The coupling coefficient of the voltage v K , the capacitance coupling constant c K , and the time constant p  , enhance the strength of system correlations, and increase the system output. However, the roles of the viscous coefficient γ and the noise strength D is just opposite, decrease the system output and increase the output stability of the system.

show abstract

Nonlinear oscillations in a MEMS energy scavenger

Cited by 16 publications

References 16 publications

Optimization of the power flow extracted from a flexible structure using a control approach

Optimization of the power flow extracted from a flexible structure using a control approach

A Hamiltonian approach to model and analyse networks of nonlinear oscillators: Applications to gyroscopes and energy harvesters

Oscillatory Correlations of Nonlinear Stochastic Energy Harvesting System

Contact Info

Product

Resources

About