Non-ideal source and energy harvesting

Abstract

© 2017, Springer-Verlag Wien. In this paper the energy harvester device with piezoelectric element is considered. In the device the mechanical energy of vibration is transformed into electric energy. The mechanical part of the system contains an oscillator which is coupled with a motor. The motor–oscillator system is of non-ideal type. Namely, the motion of the oscillator is affected by the motor excitation, but the oscillator also has an influence on the motion of the motor. In the paper the influence of nonlinear properties of the oscillator and of the piezoelement is considered. Analytical procedure based on averaging is developed. Special attention is given to averaging of the harvested energy of the system. The influence of the linear and of the nonlinear coupling piezoelectric parameter is considered. The Sommerfeld effect is treated. The region of unstable solutions is reduced by increasing the value of the nonlinear piezoelectric parameter. The analytically obtained solutions are compared with numerically obtained ones. They are in good agreement.