Modeling and Analyzing of Energy Harvesting from Trapezoidal Piezoelectric Beams
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In this paper, output power and voltage from piezoelectric materials for trapezoidal sandwich beams, considering proof mass on free end of the beam with base excitation, are formulated. The proposed analytic formulation has a general form and can be applied to rectangular and triangular beams. Using this formulation, geometrical dimensions of a trapezoidal beam with volume less than a cubic centimeter are optimized by implementing the genetic algorithm. This optimized geometry will be able to produce an electrical power of 1.3 mW at the frequency of 50 Hz and electrical resistance of 30 kΩ. Also, the beam is modeled with finite element method to compare resultant output voltage and power with analytical outcomes. An acceptable accuracy in this comparison is observed, so proposed analytic model seems to be an appropriate tool in preliminary design and evaluation of piezoelectric bender energy harvesters.
KeywordsPiezoelectric material Energy harvesting Trapezoidal piezoelectric beam Analytic formulation Optimization
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