Global stabilization of high-energy response for a Duffing-type wideband nonlinear energy harvester via self-excitation and entrainment

Masuda, Arata; Senda, Atsuko; Sanada, Tatsuya; Sone, Akira

doi:10.1177/1045389x13479183

Cited by 48 publications

(20 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This is evaluated by using the basin of attraction obtained by choosing the initial conditions from the lattice points in the phase plane and then solving the equation of motion numerically until the trajectory converges to one of the steady-state solutions. 19 As mentioned previously, by increasing the controllable damping c 2 , the operating point can jump to the high-energy orbit (see point B in Figure 4). Then, when c 2 instantaneously decreases to the initial value this could be regarded as an initial condition to be applied to the oscillator, and this initial condition is caused by the response of the oscillator at point B in Figure 4.…”

Section: Numerical Examplesmentioning

confidence: 90%

Stabilisation of the high-energy orbit for a non-linear energy harvester with variable damping

Zheng

Nakano

et al. 2015

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

The non-linearity of a hardening-type oscillator provides a wider bandwidth and a higher energy harvesting capability under harmonic excitations. Also, both low-and high-energy responses can coexist for the same parameter combinations at relatively high excitation levels. However, if the oscillator's response happens to coincide with the low-energy orbit then the improved performance achieved by the non-linear oscillator over that of its linear counterpart, could be impaired. This is therefore the main motivation for stabilisation of the high-energy orbit. In the present work, a schematic harvester design is considered consisting of a mass supported by two linear springs connected in series, each with a parallel damper, and a third-order non-linear spring. The equivalent linear stiffness and damping coefficients of the oscillator are derived through variation of the damper element. From this adjustment the variation of the equivalent stiffness generates a corresponding shift in the frequency-amplitude response curve, and this triggers a jump from the low-energy orbit to stabilise the high-energy orbit. This approach has been seen to require little additional energy supply for the adjustment and stabilisation, compared with that needed for direct stiffness tuning by mechanical means. Overall energy saving is of particular importance for energy harvesting applications. Subsequent results from simulation and experimentation confirm that the proposed method can be used to trigger a jump to the desirable state, thereby introducing a beneficial addition to the performance of the non-linear hardening-type energy harvester that improves overall efficiency and broadens the bandwidth.

show abstract

Section: Numerical Examplesmentioning

confidence: 90%

Stabilisation of the high-energy orbit for a non-linear energy harvester with variable damping

Zheng

Nakano

et al. 2015

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

show abstract

“…Because the initial conditions determine which solution emerges, it is difficult for this nonlinear harvester to maintain the high performance of the power generation constantly. Masuda et al 6 applied the principle of selfexcitation and entrainment to realize the global stability of the highest-energy solution by destabilizing other unexpected lower-energy solutions. They proposed to introduce a switching circuit of the load resistance between positive and the negative values depending on the response amplitude of the harvester as follows:…”

Section: Load Switching Circuitmentioning

confidence: 99%

Global stabilization of high-energy resonance for a nonlinear wideband electromagnetic vibration energy harvester

Masuda

Sato

2016

SPIE Proceedings

Self Cite

View full text Add to dashboard Cite

This paper presents an experimental verification of a wideband nonlinear vibration energy harvester which has a globally stabilized high-energy resonating response. For the conventional linear vibration energy harvester, the maximum performance of the power generation and its bandwidth are in a relation of trade-off. The resonance frequency band can be expanded by introducing a Duffing-type nonlinear resonator in order to enable the harvester to generate larger electric power in a wider frequency range. However, since such nonlinear resonators often have multiple stable steady-state solutions in the resonance band, it is difficult for the nonlinear harvester to maintain the high performance of the power generation constantly. The principle of self-excitation and entrainment has been utilized to provide the global stability to the highest-energy solution by destabilizing other unexpected lower-energy solutions by introducing a switching circuit of the load resistance between positive and the negative values depending on the response amplitude of the oscillator. In this study, an experimental verification of this concept are carried out. An experimental prototype harvester is designed and fabricated and the performance of the proposed harvester is experimentally verified. It has been shown that the numerical and experimental results agreed very well, and the highest-energy solutions above the threshold value were successfully stabilized globally.

show abstract

“…The response stabilization control proposed by Masuda et al [3] is a control of switching the load resistance between positive and negative values according to the response magnitude in order to globally stabilize the highest-energy solution by destabilizing the lower-energy solutions. The equation of motion of the harvester with the response stabilization control is given by…”

Section: Response Stabilization Controlmentioning

confidence: 99%

A broadband energy harvester using leaf springs and stoppers with response stabilization control

Kato

Ushiki

Masuda

2018

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

Abstract. This paper presents the design, fabrication and experimental verification of a broadband vibration energy harvester having a nonlinear oscillator using leaf springs and stoppers. In the conventional vibration energy harvester having a linear oscillator, there is a trade-off relationship between the magnitude of the resonance peak and the resonance band. Since the resonance band is expanded by using the nonlinear oscillator, the harvester can more efficiently generate electric energy in a wider frequency band. In this study, we designed and fabricated a nonlinear vibration energy harvester with leaf springs and stoppers, and verified the frequency response characteristics and the power generation performance of the proposed harvester by sinusoidal sweep tests with the input acceleration amplitude of 0.2 G rms . The overall resonance bandwidth was approximately 33 Hz, which was over 75 % of the linear natural frequency of 42 Hz. The response stabilization control successfully destabilized the coexisting low-energy solution, and activated only the high-energy response in the resonance band. IntroductionVibration energy harvesting is a technology for generating electricity from ambient vibration. Since the power generation is effectively performed by resonating a mechanical oscillator with the source vibration, there is a tradeoff between the maximum power performance and the bandwidth. When the resonance band is expanded by introducing a nonlinear oscillator, the harvester can more efficiently generate electricity in a wider frequency band [1, 2]. However, since such nonlinear oscillators may have high and low-energy stable solutions coexisting in the resonance band, a mechanism to keep the oscillator responding in the high-energy solution is required to maintain the power generation performance. In the previous study done by Masuda et al. [3], a response stabilization control in order to globally stabilize the high-energy solution was proposed, in which a circuit switching between a positive and a negative load resistances depending on the response amplitude of the oscillator was introduced to give the harvester self-excitation capability. In the study done by Sato et al. [4], this response stabilization control was implemented to an energy harvester with a magnetically sprung oscillator. But the resonance band was not wide enough.In this paper, an electromagnetic broadband vibration energy harvester with a nonlinear oscillator consisting of leaf springs and stoppers is designed and fabricated. The resonance band and the power generation performance in the frequency domain are verified by sinusoidal sweep tests. The response stabilization control is then applied to show the wideband operation of the proposed energy harvester.

show abstract

Global stabilization of high-energy response for a Duffing-type wideband nonlinear energy harvester via self-excitation and entrainment

Cited by 48 publications

References 26 publications

Stabilisation of the high-energy orbit for a non-linear energy harvester with variable damping

Stabilisation of the high-energy orbit for a non-linear energy harvester with variable damping

Global stabilization of high-energy resonance for a nonlinear wideband electromagnetic vibration energy harvester

A broadband energy harvester using leaf springs and stoppers with response stabilization control

Contact Info

Product

Resources

About