Efficiency of energy harvesting out of colored Lévy fluctuations by a harmonic oscillator with piezoelectric transducer

Abstract

Abstract The efficiency of a linear kinetic energy harvester by piezoelectric transduction —when driven by colored α -stable Lévy noise— is the focus of this study. Analytical results are obtained for the harvested power (in the adiabatic approximation and for very large load circuit's time constant τ p ), which are accurately validated by numerical simulations. In addition, an analytical expression is obtained for the characteristic time the system takes to reach a stationary regime; this information is crucial to calculate averaged quantities through simulations, given the large dispersion between realizations due to the infinite variance of the Lévy noise.