Piezoelectric Energy Harvesting with Parametric Uncertainty
SF Ali, S Adhikari & MI Friswell (Swansea University)
Smart Materials and Structures, Vol. 19, No. 10, October 2010, paper 105010
The design and analysis of energy harvesting devices is becoming increasing important in recent years. Most of the literature has focused on the deterministic analysis of these systems and the problem of uncertain parameters has received less attention. Energy harvesting devices exhibit parametric uncertainty due to errors in measurement, errors in modelling and variability in the parameters during manufacture. This paper investigates the effect of parametric uncertainty in the mechanical system on the harvested power, and derives approximate explicit formulae for the optimal electrical parameters that maximize the mean harvested power. The maximum of the mean harvested power decreases with increasing uncertainty, and the optimal frequency at which the maximum mean power occurs shifts. The effect of the parameter variance on the optimal electrical time constant and optimal coupling coefficient are reported. Monte Carlo based simulation results are used to further analyse the system under parametric uncertainty.
This material has been published in the Journal of Smart Materials and Structures, Vol. 19, No. 10, October 2010, paper 105010, the only definitive repository of the content that has been certified and accepted after peer review. Copyright and all rights therein are retained by the Institute of Physics.
Link to paper using doi: 10.1088/0964-1726/19/10/105010
Smart Materials and Structures
The Institute of Physics