On Non-ideal and Chaotic Energy Harvester Behavior

• Published in: Differential equations and dynamical systems 2013, Vol.21 (1-2), p.93-104
• Main Authors: Iliuk, Itamar, Balthazar, José Manoel, Tusset, Angelo Marcelo, Felix, Jorge Luiz Palácios, de Pontes, Bento Rodrigues
• Format: Article
• Language: English
• Subjects: Computer Science; Engineering; Mathematics; Mathematics and Statistics; Original Research
• ISSN: 0971-3514; 0974-6870
• DOI: 10.1007/s12591-012-0127-5

In this paper, we deal with the research of a proposed mathematical model of energy harvesting, including nonlinearities in the piezoelectric coupling and a non-ideal force of excitation. We showed using numerical simulations to analysis of the dynamic responses that, the power harvested was influenced by the nonlinear vibrations of the structure, as well as by the influence of the non-linearities in the piezoelectric coupling. We concluded through of the numerical results that the limited energy source was interacting with the system. Thus, the increasing of the voltage in DC motor led the system produce a good power response, especially in high-energy orbits in the resonance region, but the Sommerfeld effect occurs in the system and a chaotic behavior was found in the post-resonance region. So the power harvested along the time decreases because occurs loses of energy due the interaction between energy source and structure. Keeping the energy harvested constant over time is essential to make possible the use of energy harvesting systems in real applications. To achieve this objective, we applied a control technique in order to stabilize the chaotic system in a periodic stable orbit. We announced that the results were satisfactory and the control maintained the system in a stable condition.