Fractional Dynamics of Harvester with Nonideal Source Excitation

Abstract

In this paper, the behavior of an electromechanical device for energy production is investigate. Such a device consists of a motor containing an unbalanced mass that causes vibrations in a mass, in this device was coupled a system containing piezoelectric material that produces an electric current. Thus, the average power produced in the piezoelectric material subject to the vibrations of the motor and the fractional dynamics analysis of the system considering the Caputo operator is analyzed in this device. For this fractional dynamic analysis, is used the parameter of the fractional derivative operator and the F parameter for system control, the FFT, bifurcation diagrams, 01-Test, and phase maps of the system were analyzed. Also determine the range of the Caputo fractional derivative operator parameter near 1 in which it modifies the dynamics of the system.