Investigations on a Nonlinear Energy Harvesting System Consisting of a Flapping Foil and an Electro-Magnetic Generator Using Power Flow Analysis

Author(s):  
J. Yang ◽  
Y. P. Xiong ◽  
J. T. Xing

A nonlinear energy harvesting system consisting of a flapping foil and an electro-magnetic generator excited by incompressible quasi-steady air flows is investigated. Due to stiffness nonlinearities in pitch and/or heave degrees of freedom, the system behaves a stable limit cycle oscillation when flow velocity exceeds the critical flutter speed, so that the mechanical energy imported from air flow is converted into electricity by the coupled electro-magnetic generator. The power flow equations and variables, including the input, dissipated, transmitted and harnessed powers, of the system are formulated. A fourth-order Runge-Kutta method is used to obtain the system’s dynamical response as well as power flow variables. It shows that increasing the nonlinear stiffness in heave motion or decreasing in pitch motion benefits power generation. The research demonstrates the capability of this nonlinear system to harvest natural energy without extra operation cost. Discussions and planed further research works are given for engineering applications.

2009 ◽  
Vol 5 (1) ◽  
pp. 61-66 ◽  
Author(s):  
Kaori Yuse ◽  
Michael Lallart ◽  
Lionel Petit ◽  
Claude Richard ◽  
Thomas Monnier ◽  
...  

2021 ◽  
Vol 11 (21) ◽  
pp. 9979
Author(s):  
Ying Zhang ◽  
Xiaxia Duan ◽  
Yu Shi ◽  
Xiaole Yue

In the stage of modelling, measuring, mechanical processing and manufacturing of the nonlinear energy harvesting system, deviations and errors of system parameters are inevitable. Even slight variation of key parameters may have a significant influence on the output voltages, especially for the multi-stable nonlinear case. Therefore, the investigation of dynamic behaviors for the tristable energy harvesting system with uncertain parameters is of important value both for research and application. In this paper, the uncertainty of a tristable piezoelectric vibration energy harvester with a random coefficient ahead of the nonlinear term is studied. By using the Chebyshev polynomial approximation, this tristable energy harvesting system is first reduced into an equivalent deterministic form, the ensemble mean responses of which are derived to exhibit the stochastic behaviors. The periodic and chaotic motions, bifurcations and crises under different conditions are analyzed. The results show that the output voltage is sensitive to the uncertainty of the nonlinear coefficient, which leads to unstable behavior around the bifurcation and crisis points particularly. Exploring the influence pattern of uncertain parameters on the output voltage and avoiding the unstable parameter intervals are essential for optimizing the structure. It can further improve the efficiency of the nonlinear energy harvesting system.


2011 ◽  
Vol 46 (7) ◽  
pp. 1728-1741 ◽  
Author(s):  
Hannes Reinisch ◽  
Stefan Gruber ◽  
Hartwig Unterassinger ◽  
Martin Wiessflecker ◽  
Günter Hofer ◽  
...  

Author(s):  
Shengxi Zhou ◽  
Daniel J. Inman ◽  
Junyi Cao

This paper presents a linear-spring coupled nonlinear energy harvesting system, which contains linear piezoelectric energy harvesters coupled by linear springs. Although every element of the system is linear, the system will present nonlinear characteristics when it is subjected to excitations because of the geometric nonlinearity induced by coupled motions. Three non-uniform cross-section linear harvesters with the same total length and the different thickness are selected to form the proposed system. Based on Euler-Bernoulli beam assumptions and the geometrical relationship among each element, a detailed modeling process of the proposed system is presented. In order to verify the broadband characteristics, the comparison of the proposed system and its linear counterparts is provided. Under harmonic excitations, the proposed system has much better energy harvesting capacity compared with its linear counterparts. What’s more, the energy harvesting performance of the proposed system is a little better than its linear counterparts under random excitations. The results demonstrate that the advantage of the proposed system is enhanced along with increased excitation level. In addition, such non-magnetic nonlinear energy harvesting system can be used in the areas where magnets are forbidden, such as inside the human body.


2018 ◽  
Vol 29 (11) ◽  
pp. 2374-2391 ◽  
Author(s):  
Quanqi Dai ◽  
Inhyuk Park ◽  
Ryan L Harne

Magnets have received broad attention for vibration energy harvesting due to noncontact, nonlinear forces that may be leveraged among harvesting system elements. Yet, opportunities to integrate multi-directional coupling among a nonlinear energy harvesting system subjected to impulsive excitations have not been scrutinized, despite widespread prevalence of such excitations. To characterize these potentials, this research investigates an energy harvesting system with magnetically induced nonlinearities and coupling effects under impulsive excitations. A system model is formulated and validated with experimental efforts to reconstruct static and dynamic properties of the system via simulations. Then, the model is harnessed to scrutinize dynamic response of the system when subjected to impulse conditions. This research reveals the clear impulse strength dependence and influence of asymmetries on total electrical energy capture and energy conversion efficiency that are tailored by magnetic force coupling. Asymmetry is found to promote greater impulse-to-electrical energy conversion when compared to the symmetric counterpart system and a benchmark nonlinear energy harvester. The roles of initial conditions exemplify how stored energy in an asymmetric energy harvesting system may be released during nonlinear impulsive response. These results provide insights about opportunities and challenges to incorporate magnetic coupling effects in nonlinear energy harvesting systems subjected to impulses.


2016 ◽  
Vol 10 (3) ◽  
pp. 147 ◽  
Author(s):  
Rodrigo Tumolin Rocha ◽  
Jose Manoel Balthazar ◽  
Angelo Marcelo Tusset ◽  
Vinicius Piccirillo ◽  
Jorge Luis Palacios Felix

Filomat ◽  
2017 ◽  
Vol 31 (16) ◽  
pp. 5271-5293
Author(s):  
A.K. Pal ◽  
P. Dolai ◽  
G.P. Samanta

In this paper we have studied the dynamical behaviours of a delayed two-species competitive system affected by toxicant with imprecise biological parameters. We have proposed a method to handle these imprecise parameters by using parametric form of interval numbers. We have discussed the existence of various equilibrium points and stability of the system at these equilibrium points. In case of toxic stimulatory system, the delay model exhibits a stable limit cycle oscillation. Computer simulations are carried out to illustrate our analytical findings.


Sign in / Sign up

Export Citation Format

Share Document