Lowering the potential barrier of a bistable energy harvester with mechanically rectified motion of an auxiliary magnet oscillator

Nguyen, Minh Quân; Yoon, Yong‐Jin; Kwon, Ojin; Kim, Pilkee

doi:10.1063/1.4994111

Cited by 45 publications

(26 citation statements)

References 28 publications

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“…The system vibrates across the wells when the state overcomes the saddle barrier, which is the local maximum point between the wells. The output power harvested from this large-amplitude interwell motion is bigger than that from the intrawell motion [ 20 ]. Thus, the main research effort in this study was focused on the dynamical behavior in interwell motion in order to optimize the energy harvesting performance.…”

Section: Introductionmentioning

confidence: 99%

Load Resistance Optimization of a Magnetically Coupled Two-Degree-of-Freedom Bistable Energy Harvester Considering Third-Harmonic Distortion in Forced Oscillation

Noh

Kim

Yoon

2021

Sensors

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In this study, the external load resistance of a magnetically coupled two-degree-of-freedom bistable energy harvester (2-DOF MCBEH) was optimized to maximize the harvested power output, considering the third-harmonic distortion in forced response. First, the nonlinear dynamic analysis was performed to investigate the characteristics of the large-amplitude interwell motions of the 2-DOF MCBEH. From the analysis results, it was found that the third-harmonic distortion occurs in the interwell motion of the 2-DOF MCBEH system due to the nonlinear magnetic coupling between the beams. Thus, in this study, the third-harmonic distortion was considered in the optimization process of the external load resistance of the 2-DOF MCBEH, which is different from the process of conventional impedance matching techniques suitable for linear systems. The optimal load resistances were estimated for harmonic and swept-sine excitations by using the proposed method, and all the results of the power outputs were in excellent agreements with the numerically optimized results. Furthermore, the associated power outputs were compared with the power outputs obtained by using the conventional impedance matching technique. The results of the power outputs are discussed in terms of the improvement in energy harvesting performance.

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Section: Introductionmentioning

confidence: 99%

Load Resistance Optimization of a Magnetically Coupled Two-Degree-of-Freedom Bistable Energy Harvester Considering Third-Harmonic Distortion in Forced Oscillation

Noh

Kim

Yoon

2021

Sensors

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“…Such linear-resonant energy harvesters produce high electric power only in a narrow resonant frequency band, which is not suitable for harvesting energy from real-world vibration sources with time-varying and/or multiple frequency components [ 3 , 4 ]. Accordingly, energy harvesting systems of various structures (e.g., frequency-tunable oscillators [ 5 , 6 , 7 ], an array of multimodal oscillators [ 8 , 9 , 10 ], and non-linear mono-stable [ 11 , 12 , 13 , 14 ] or multi-stable oscillators [ 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 ]) have been investigated to deal with the narrow bandwidth problem of the linear system.…”

Section: Introductionmentioning

confidence: 99%

Load Resistance Optimization of Bi-Stable Electromagnetic Energy Harvester Based on Harmonic Balance

Bae

Kim

2021

Sensors

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In this study, a semi-analytic approach to optimizing the external load resistance of a bi-stable electromagnetic energy harvester is presented based on the harmonic balance method. The harmonic balance analyses for the primary harmonic (period-1T) and two subharmonic (period-3T and 5T) interwell motions of the energy harvester are performed with the Fourier series solutions of the individual motions determined by spectral analyses. For each motion, an optimization problem for maximizing the output power of the energy harvester is formulated based on the harmonic balance solutions and then solved to estimate the optimal external load resistance. The results of a parametric study show that the optimal load resistance significantly depends on the inductive reactance and internal resistance of a solenoid coil––the higher the oscillation frequency of an interwell motion (or the larger the inductance of the coil) is, the larger the optimal load resistance. In particular, when the frequency of the ambient vibration source is relatively high, the non-linear dynamic characteristics of an interwell motion should be considered in the optimization process of the electromagnetic energy harvester. Compared with conventional resistance-matching techniques, the proposed semi-analytic approach could provide a more accurate estimation of the external load resistance.

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“…The bistability was induced by the magnetic repulsion force, and the harvesting power was enhanced by the bistable nonlinearity. Furthermore, employing an additional oscillator or dynamic magnifier could transfer a 1-DOF VEH to multi-DOF VEH to obtain multi-modal characteristic, which has been proven to be an effective solution to broaden the bandwidth [7][8][9]. Harne et al [10] proposed an inclined-spring-based bistable energy harvester attached to an additional linear oscillator for harvesting enhancement.…”

Section: Introductionmentioning

confidence: 99%

Chaotification in an internal-resonance-based electromagnetic vibration energy harvester

Zhang

2021

Preprint

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This paper explores a 2:1 internal resonance of a bistable vibration energy harvester (BVEH) to enhance the harvesting performance. Two linear natural frequencies are tuned to meet the nearly commensurate ratio, i.e., 1:2. Thus, the 2:1 internal resonance could be activated when the first mode is directly excited under the same vibration frequency as the first linear natural frequency. The amplitude-frequency responses under small vibration amplitudes are obtained through the multi-scale method. The analytic results reveal the double-jumping characteristics, which could expand the bandwidth of the BVEH. Among them, an intriguing “flower pattern” amplitude-frequency curve is observed. Besides, the frequency spectrums are introduced to demonstrate the mode coupling and energy exchange between the first two modes. With small vibration amplitude, only intra-well responses could be obtained, and the energy exchange between modes obeys strict commensurate relation, i.e., 2:1. However, it does not obey the 2:1 ratio when the inter-well responses are activated, and the energy transfers to several low-frequency modes which results in a chaotic inter-well response. Afterward, the bifurcation diagrams and basin-of-attraction maps are explored by the numerical method to develop insights into the nonlinear responses of the BVEH. The results quantitatively prove the enhancement of the inter-well responses by internal resonance, and the chaotic inter-well response dominates the nonlinear behaviors.

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Lowering the potential barrier of a bistable energy harvester with mechanically rectified motion of an auxiliary magnet oscillator

Abstract: Lowering the potential barrier of a bistable energy harvester with mechanically rectified motion of an auxiliary magnet oscillator

Cited by 45 publications

References 28 publications

Load Resistance Optimization of a Magnetically Coupled Two-Degree-of-Freedom Bistable Energy Harvester Considering Third-Harmonic Distortion in Forced Oscillation

Load Resistance Optimization of a Magnetically Coupled Two-Degree-of-Freedom Bistable Energy Harvester Considering Third-Harmonic Distortion in Forced Oscillation

Load Resistance Optimization of Bi-Stable Electromagnetic Energy Harvester Based on Harmonic Balance

Chaotification in an internal-resonance-based electromagnetic vibration energy harvester

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