On the optimal energy harvesting from a vibration source

Jamil M. Renno, Mohammed Daqaq, Daniel J. Inman

Research output: Contribution to journalArticle

Abstract

The optimization of power acquired from a piezoelectric vibration-based energy harvester which utilizes a harvesting circuit employing an inductor and a resistive load is described. The optimization problem is formulated as a nonlinear program wherein the Karush-Kuhn-Tucker (KKT) conditions are stated and the resulting cases are treated. In the first part of the manuscript, the case of a purely resistive circuit is analyzed. While this configuration has received considerable attention in the literature, previous efforts have neglected the effect of damping on the optimal parameters. Here, we explore the impact of damping on power optimality and illustrate its quantitative and qualitative effects. Further, we analyze the effect of electromechanical coupling demonstrating that the harvested power decreases beyond an optimal coupling coefficient. This result challenges previous literature suggesting that higher coupling coefficients always culminate in more efficient energy harvesters. In the second part of this work, the effect of adding an inductor to the circuit is examined. It is demonstrated that the addition of the inductor provides substantial improvement to the performance of the energy harvesting device. It is also shown that within realistic values of the coupling coefficient, the optimal harvested power is independent of the coupling coefficient; a result that supports previous findings for the purely resistive circuit.

Original languageEnglish (US)
Pages (from-to)386-405
Number of pages20
JournalJournal of Sound and Vibration
Volume320
Issue number1-2
DOIs
StatePublished - Feb 6 2009

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Energy harvesting
coupling coefficients
Vibrations (mechanical)
inductors
vibration
Harvesters
Networks (circuits)
Damping
damping
optimization
Electromechanical coupling
energy
configurations

ASJC Scopus subject areas

  • Acoustics and Ultrasonics
  • Condensed Matter Physics
  • Mechanical Engineering
  • Mechanics of Materials

Cite this

On the optimal energy harvesting from a vibration source. / Renno, Jamil M.; Daqaq, Mohammed; Inman, Daniel J.

In: Journal of Sound and Vibration, Vol. 320, No. 1-2, 06.02.2009, p. 386-405.

Research output: Contribution to journalArticle

Renno, Jamil M. ; Daqaq, Mohammed ; Inman, Daniel J. / On the optimal energy harvesting from a vibration source. In: Journal of Sound and Vibration. 2009 ; Vol. 320, No. 1-2. pp. 386-405.
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