Global Sensitivity Analysis of (a)Symmetric Energy Harvesters

Abstract

Parametric variability is inevitable in actual energy harvesters and can define crucial aspects of the system performance, especially in susceptible systems to small perturbations. In this way, this work aims to identify the most critical parameters in the dynamics of (a)symmetric bistable energy harvesters with nonlinear piezoelectric coupling, considering the variability of their physical and excitation parameters. For this purpose, a global sensitivity analysis based on the Sobol' indices is performed by an orthogonal decomposition in terms of conditional variances to access the dependence of the recovered power concerning the harvester parameters. This technique quantifies the variance concerning each parameter individually and jointly regarding the total variation of the model. The results indicate that the frequency and amplitude of excitation, asymmetric bias angle, and piezoelectric coupling at the electrical domain are the most influential parameters that affect the mean power harvested. It has also been shown that the order of importance of the parameters can change from stable conditions. In possession of this, a better understanding of the system under analysis is obtained, identifying vital parameters that rule the change of dynamic behavior and constituting a powerful tool in the robust design and prediction of nonlinear harvesters.

Controlling chaos for energy harvesting via digital extended time-delay feedback

“…This digital implementation seems to be a promising method to be implemented in chaos control, since it is an easy task using digital filters only. The results show that many orbits can be controlled, depending on the value of Q and the suppression of the chaos depends on K. The remaining problem is to establish the best values of K and Q, what can be done with aid of optimization [31] and sensitivity analysis [32] techniques. Furthermore, extending this formalism to a situation of non-harmonic excitation is an interesting line for future work.…”