Piezoelectric energy harvesting with parametric uncertainty

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 u...

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Bibliographic Details
Published in:Smart materials and structures 2010-10, Vol.19 (10), p.105010-105010
Main Authors: Ali, S F, Friswell, M I, Adhikari, S
Format: Article
Language:English
Subjects:
Computer simulation
Devices
Electric power generation
Energy harvesting
Error analysis
Exact sciences and technology
General equipment and techniques
Harvesting
Instruments, apparatus, components and techniques common to several branches of physics and astronomy
Mathematical models
Monte Carlo methods
Optimization
Physics
Transducers
Uncertainty
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Summary: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.
ISSN:0964-1726
1361-665X
DOI:10.1088/0964-1726/19/10/105010