Analytical and Numerical Investigations on a Bistable System for Energy Harvesting Application

2014 ◽  
Author(s):  
Matthias Heymanns ◽  
Peter Hagedorn
Keyword(s):  
Energy Harvesting ◽  
Analytical Description ◽  
Harmonic Excitation ◽  
Design Criterion ◽  
Bistable System ◽  
Energy Harvest ◽  
Energy Harvesters ◽  
Critical Excitation ◽  
Nonlinear Energy

This paper aims at an analytical and numerical analysis of a bistable Duffing equation. One purpose lies in the identification of suitable oscillations for a robust energy harvesting device, i.e. a system that is well suited for a broad bandwidth excitation. A map is constructed illustrating the dependence of the harvested energy on the predominant oscillation type. It shows that inter-well oscillations lead to the highest energy harvest compared to intra-well and cross-well oscillations under harmonic excitation. The determination of the critical excitation parameters necessary to maintain inter-well oscillations is essential for the design of bistable energy harvesters. Therefore, investigations are made to attain an analytical description of the inter-well oscillation region. On this basis, a design criterion is derived for nonlinear energy harvesters.

Reliability-Based Design Optimization for Nonlinear Energy Harvesters

2015 ◽  
Author(s):  
Sumin Seong ◽  
Christopher Mullen ◽  
Soobum Lee
Keyword(s):  
Energy Harvesting ◽  
Design Optimization ◽  
Reliability Based Design Optimization ◽  
Vibration Energy Harvester ◽  
Reliability Design ◽  
Energy Harvesters ◽  
Reliability Based Design ◽  
Stable Characteristic ◽  
Tip Mass ◽  
Nonlinear Energy

This paper presents reliability-based design optimization (RBDO) and experimental validation of the purely mechanical nonlinear vibration energy harvester we recently proposed. A bi-stable characteristic was embodied with a pre-stressed curved cantilever substrate on which piezoelectric patches were laminated. The curved cantilever can be simply manufactured by clamping multiple beams with different lengths or by connecting two ends of the cantilever using a coil spring. When vibrating, the inertia of the tip mass activates the curved cantilever to cause snap-through buckling and makes the nature of vibration switch between two equilibrium positions. The reliability-based design optimization study for maximization of power density and broadband energy harvesting performance is performed. The benefit of the proposed design in terms of excellent reliability, design compactness, and ease of implementation is discussed. The prototype is fabricated based on the optimal design result and energy harvesting performance between the linear and nonlinear energy harvesters is compared. The excellent broadband characteristic of the purely mechanical harvester will be validated.

scholarly journals On the Effects of Structural Coupling on Piezoelectric Energy Harvesting Systems Subject to Random Base Excitation

Aerospace ◽  
2020 ◽  
Vol 7 (7) ◽  
pp. 93
Author(s):  
Hamidreza Masoumi ◽  
Hamid Moeenfard ◽  
Hamed Haddad Khodaparast ◽  
Michael I. Friswell
Keyword(s):  
Energy Harvesting ◽  
Mechanical Response ◽  
Harmonic Excitation ◽  
Point Of View ◽  
Analytical Models ◽  
Energy Harvesters ◽  
Piezoelectric Energy ◽  
Novel Approach ◽  
Band Limited ◽  
Multi Body

The current research investigates the novel approach of coupling separate energy harvesters in order to scavenge more power from a stochastic point of view. To this end, a multi-body system composed of two cantilever harvesters with two identical piezoelectric patches is considered. The beams are interconnected through a linear spring. Assuming a stochastic band limited white noise excitation of the base, the statistical properties of the mechanical response and those of the generated voltages are derived in closed form. Moreover, analytical models are derived for the expected value of the total harvested energy. In order to maximize the expected generated power, an optimization is performed to determine the optimum physical and geometrical characteristics of the system. It is observed that by properly tuning the harvester parameters, the energy harvesting performance of the structure is remarkably improved. Furthermore, using an optimized energy harvester model, this study shows that the coupling of the beams negatively affects the scavenged power, contrary to the effect previously demonstrated for harvesters under harmonic excitation. The qualitative and quantitative knowledge resulting from this analysis can be effectively employed for the realistic design and modelling of coupled multi-body structures under stochastic excitations.

Design enhancement and non-dimensional analysis of magnetically-levitated nonlinear vibration energy harvesters

2017 ◽  
Vol 28 (19) ◽  
pp. 2810-2822 ◽  
Author(s):  
Abdullah Nammari ◽  
Hamzeh Bardaweel
Keyword(s):  
Energy Harvesting ◽  
Energy Harvester ◽  
Magnetic Levitation ◽  
Energy Harvesters ◽  
The Past ◽  
Magnetic Forces ◽  
Linear Version ◽  
Harvesting Techniques ◽  
Unique Potential ◽  
Nonlinear Energy

Over the past decade, there has been special interest in developing nonlinear energy harvesters capable of operating over a wideband frequency spectrum. Chief among the nonlinear energy harvesting techniques is magnetic levitation–based energy harvesting. Nonetheless, current nonlinear magnetic levitation–based energy harvesting approaches encapsulate design challenges. This work investigates some of the design issues and limitations faced by traditional magnetic levitation–based energy harvesters such as damping schemes and stiffness nonlinearities. Both experiment and model are used to quantify and evaluate damping regimes and stiffness nonlinearities present in magnetic levitation–based energy harvesters. Results show that dry friction, mostly ignored in magnetic levitation–based energy harvesting literature, contributes to the overall energy dissipation. Measured and modeled magnetic forces–displacement curves suggest that stiffness nonlinearities are weak over moderate distances. An enhanced design utilizing a combination of mechanical and magnetic springs is introduced to overcome some of these limitations. A non-dimensional model of the proposed design is developed and used to investigate the enhanced architecture. The unique potential energy profile suggests that the proposed nonlinear energy harvester outperforms the linear version by steepening the displacement response and shifting the resonance frequency, resulting in a larger bandwidth for which power can be harvested.

scholarly journals Performance enhancement of nonlinear asymmetric bistable energy harvesting from harmonic, random and human motion excitations

2019 ◽  
Author(s):  
Chris Bowen
Keyword(s):  
Energy Harvesting ◽  
Power Output ◽  
Lower Limb ◽  
Performance Enhancement ◽  
Basin Of Attraction ◽  
Harmonic Excitation ◽  
Human Motion ◽  
Experimental Investigations ◽  
Energy Harvesters ◽  
Negative Effect

Numerical and experimental investigations of nonlinear bistable energy harvesters (BEHs) with asymmetric potential functions are presented under various excitations for performance enhancement. Basin of attraction under harmonic excitation indicates that asymmetric potentials in BEHs have negative effect on the power output. Therefore, a proper bias angle is introduced to the asymmetric potential BEHs for performance enhancement. Numerical and experimental results show that the power output is actually improved in a certain bias angle range under harmonic and random excitations. Furthermore, experiments under human motion excitation demonstrate that the asymmetric potential BEHs could perfectly combine with the asymmetric motion of lower-limb to improve the performance.

Modeling and Simulation of Energy Harvesting Technologies in Low Power Nanogrids

2020 ◽  
Author(s):  
Jéssica P. Domingos ◽  
Rodrigo A. F. Ferreira ◽  
Márcio C. B. P. Rodrigues ◽  
Pedro G. Barbosa
Keyword(s):  
Energy Harvesting ◽  
Literature Review ◽  
Low Power ◽  
Modeling And Simulation ◽  
Equivalent Circuit ◽  
Case Studies ◽  
Modelling And Simulation ◽  
Energy Harvest ◽  
Simulation Platform ◽  
Energy Harvesters

This work presents an analysis on the integration of energy harvesting technologiesused for low power applications. The main goal e is to develop a simulation platform representing a nanogrid using the consolidated models of three of the most mature energy harvest sources: photovoltaic, thermoelectric and piezoelectric. The resulting model is used to evaluate the advantages of adding energy harvesters to a battery supplied applicaiton. It will be presented a short literature review, as well as a discussion about equivalent circuit models for each one of the sources used on the proposed 100 mW nanogrid. Aspects regarding modelling and simulation of the system on PSIM is presented and some case studies are performed to validate the proposed methodology.

Bistable Energy Harvesting From Human Motion

2015 ◽  
Author(s):  
Wei Wang ◽  
Junyi Cao ◽  
Shengxi Zhou ◽  
Jing Lin
Keyword(s):  
Energy Harvesting ◽  
Human Motion ◽  
Ambient Vibration ◽  
Energy Output ◽  
Potential Well ◽  
Energy Devices ◽  
Energy Harvesters ◽  
Cantilever Structure ◽  
Well Function ◽  
Nonlinear Energy

Recently, the power supply for portable electronic devices using the electricity extracted from human motion and ambient vibrations has received considerable attention from multidiscipline field. Among many energy converting mechanisms, the ease miniaturization of piezoelectric cantilever structure propels many research groups to investigate the potential of efficient energy harvesting from ambient vibration using resonant phenomena. However, the incapability of traditional linear energy harvesting from low frequency or varying frequency vibrations has become an open issue. This paper investigates the feasibility of nonlinear energy harvesters with different bistable potential well functions in harvesting energy from walking and running vibration. The portable nonlinear energy harvesting device and its measurement system has been established to obtain the model parameter and excitation signal from human motion. The electromechanical model for bistable energy harvesters with different nonlinear restoring force is derived from theoretical method and experimental data. Numerical investigation under human walking and running vibrations shows that large amplitude interwell motion are easily achieved to improve energy output while the proper potential well function of bistable oscillators is designed. The comparative experiments for nonlinear energy devices with different potential well function are performed. The history and frequency spectrum of output voltage demonstrate the effectiveness of numerical simulation and the clear potential of bistable energy harvesting from human motion by means of appropriate potential function design.

Tristable Energy Harvesters With Asymmetric Potential Wells: Analytical Study

2017 ◽  
Author(s):  
Shengxi Zhou ◽  
Lei Zuo
Keyword(s):  
Energy Harvesting ◽  
High Energy ◽  
Harmonic Excitation ◽  
Potential Wells ◽  
Potential Barriers ◽  
Energy Harvesters ◽  
Response Characteristics ◽  
The Stability ◽  
Excitation Conditions ◽  
Main Factor

In order to reveal the nonlinear response characteristics of asymmetric tristable energy harvesters, this paper originally deduces their complete harmonic balance solutions. In addition, the Jacobian matrix for determining the stability of these analytical solutions is presented. Under different harmonic excitation conditions, the multi-solution response characteristics of asymmetric tristable energy harvesters are analyzed. In detail, asymmetric tristable energy harvesters are found to have seven solutions (four stable solutions) under the appropriate excitation condition. The influence mechanism of asymmetry of potential wells on tristable energy harvesting performance is studied. The results show that the potential barrier is a main factor to influence high-energy interwell oscillation orbit height, which determines the output voltage amplitude and the overall energy harvesting performance. The influence essence of asymmetry for tristable energy harvesters is to change their potential wells and adjust the distribution of their potential barriers.

Influence of Bias Angle on Output Performance of Nonlinear Asymmetric Energy Harvesters: Experimental Investigation

2018 ◽  
Author(s):  
Wei Wang ◽  
Junyi Cao ◽  
Ying Zhang ◽  
Chris R. Bowen
Keyword(s):  
Energy Harvesting ◽  
Power Output ◽  
Performance Enhancement ◽  
Vibrational Energy ◽  
Experimental System ◽  
Harmonic Excitation ◽  
Nonlinear Phenomena ◽  
Energy Harvesters ◽  
Output Performance ◽  
Piezoelectric Energy

In recent decades, the technique of piezoelectric energy harvesting has drawn a great deal of attention since it is a promising method to convert vibrational energy to electrical energy to supply lower-electrical power consumption devices. The most commonly used configuration for energy harvesting is the piezoelectric cantilever beam. Due to the inability of linear energy harvesting to capture broadband vibrations, most researchers have been focusing on broadband performance enhancement by introducing nonlinear phenomena into the harvesting systems. Previous studies have often focused on the symmetric potential harvesters excited in a fixed direction and the influence of the gravity of the oscillators was neglected. However, it is difficult to attain a completely symmetric energy harvester in practice. Furthermore, the gravity of the oscillator due to the change of installation angle will also exert a dramatic influence on the power output. Therefore, this paper experimentally investigates the influence of gravity due to bias angle on the output performance of asymmetric potential energy harvesters under harmonic excitation. An experimental system is developed to measure the output voltages of the harvesters at different bias angles. Experimental results show that the bias angle has little influence on the performance of linear and monostable energy harvesters. However, for an asymmetric potential bistable harvester with sensitive nonlinear restoring forces, the bias angle influences the power output greatly due to the effect of gravity. There exists an optimum bias angle range for the asymmetric potential bistable harvester to generate large output power in a broader frequency range. The reason for this phenomenon is that the influence of gravity due to bias angle will balance the nonlinear asymmetric potential function in a certain range, which could be applied to improve the power output of asymmetric bistable harvesters.

Piezoelectric Nonlinear Energy Sink for Energy Harvesting With Rectifying DC Interface Circuit

2018 ◽  
Author(s):  
Liuyang Xiong ◽  
Lihua Tang ◽  
Kefu Liu ◽  
Brian R. Mace
Keyword(s):  
Energy Harvesting ◽  
Electromechanical Coupling ◽  
Circuit Simulation ◽  
Harmonic Balance Method ◽  
Nonlinear Energy Sink ◽  
Harmonic Excitation ◽  
Interface Circuit ◽  
Dc Power ◽  
Energy Sink ◽  
Nonlinear Energy

In order to improve the performance of vibration energy harvesters over a broad frequency range, this paper proposes a use of piezoelectric nonlinear energy sink (NES) for energy harvesting from ambient vibrations. A standard rectifying direct current (DC) interface circuit is considered to generate DC power from the piezoelectric NES under harmonic excitation. Harmonic balance method is used to obtain the dynamic response and energy harvesting performance of the proposed piezoelectric NES, verified by the equivalent circuit simulation. Analytical and numerical results show that the design, by applying NES, improves the efficiency of energy harvesting without increasing the vibration of the primary structure in a broadband manner. The effects of the electromechanical coupling, excitation level and load resistance on the magnitude and bandwidth of the output DC power are investigated.

Robust and adaptive control of coexisting attractors in nonlinear vibratory energy harvesters

2017 ◽  
Vol 24 (12) ◽  
pp. 2532-2541 ◽  
Author(s):  
Ashkan Haji Hosseinloo ◽  
Jean-Jacques Slotine ◽  
Konstantin Turitsyn
Keyword(s):  
Energy Harvesting ◽  
Sliding Mode ◽  
High Energy ◽  
Harmonic Excitation ◽  
Coexisting Attractors ◽  
Vibration Energy Harvesting ◽  
Energy Harvesters ◽  
Adaptive Sliding Mode Controller ◽  
Narrow Bandwidth ◽  
Harvesting Systems

An immense body of research has focused on nonlinear vibration energy harvesting systems mainly because of the inherent narrow bandwidth of their linear counterparts. However, nonlinear systems driven by harmonic excitation often exhibit coexisting periodic or chaotic attractors. For effective energy harvesting, it is always desired to operate on the high-energy periodic orbits; therefore, it is crucial for the harvester to move to the desired attractor once the system is trapped in any other coexisting attractor. Here we propose a robust and adaptive sliding mode controller to move the nonlinear harvester to any desired attractor by a short entrainment on the desired attractor. The proposed controller is robust to disturbances and unmodeled dynamics and adaptive to the system parameters. The results show that the controller can successfully move the harvester to the desired attractor, even when the parameters are unknown, in a reasonable period of time, in less than 30 cycles of the excitation force.

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