Development and Testing of a MEMS Piezoelectric Energy Harvester
Ryan R. Knight, Changki Mo, and William W. Clark
Mechanical Engineering and Materials Science Department, University of Pittsburgh
ABSTRACT
This paper presents a finite element analysis of an interdigitated (
33
d ) piezoelectric unimorph cantilever beam for
harvesting vibration energy. The key feature that is analyzed is the poling behavior of the piezoelectric material.
While simplified models of interdigitated piezoelectric devices assume some uniform and well-defined poling
pattern, the finite element modeling shows that not to be the case. In this paper, a “percent poling factor” is
developed with which to capture the real losses associated with non-uniform poling. A parametric study is carried
out in which electrode patterns, piezoelectric layer dimensions and electrode dimensions are varied to see their effect
on this percent poling factor. Optimal parameters are pointed out. Finally, experimental energy harvesting results
for a micro-scale interdigitated beam are presented.
Keywords: MEMS, Piezoelectric, Interdigitated, Electrode, Energy harvesting, Finite element analysis.
1. INTRODUCTION
Piezoelectric materials are incorporated into many of today’s commercial and research applications. Accelerometers,
crystal oscillators, sonar, audio transducers, igniters, positioning systems, vibrations absorbers, and energy
harvesters are to name a few. The development of thin film PZT (lead zirconate titanate) fabrication, and all of the
research dedicated to it has spawned many applications in MEMS. Of those, MEMS piezoelectric harvester
structures have been investigated, built, and tested by a great deal of researchers. In Sood
1
, Jeon
2
, and Choi
3
,
interdigitated electrode (IDE) mode MEMS cantilevers were developed and tested. They utilized the
mode because the high output voltage of the device would be able to overcome the forward bias from the rectifying
circuit. Their MEMS structure could produce about 1µW of power. They were the first to develop MEMS scale
energy harvesting structures and to present empirical power data for MEMS scale structures. Lee
4
also created
MEMS energy harvesting structures, however, no power data was provided.
At the micro scale, it is easier to fabricate interdigitated piezoelectric beams than conventional (d
31
) beams because
of the reduced number of layers required. Given the small dimensions, however, it can be difficult to achieve
electrode patterns that have ratios of spacing and width to thickness that are commonly found in macro-scale
interdigitated beams. This paper considers the effects of electrode patterns and dimensions on the real piezoelectric
material poling.
The interdigitated beam elicits the
33
d piezoelectric constant. The
33
d constant for PZT is commonly known to be
twice as large as the
31
d constant. Therefore, designing a
33
d structure properly could produce more energy and
larger tuning range than a
31
d structure. However, depending on the electrode spacing and the piezoelectric layer
thickness this assumption might not be valid. In this regard the poling electric field is examined in this study
6
.
Following a finite element simulation of a beam’s poling electric field, the non-uniform electric field loss is then
presented. A model is produced that simulates various interdigitated electrode geometries and calculates the electric
field density in the piezoelectric layer. An optimal electrode width to piezoelectric layer thickness ratio is also
found from the finite element analysis, and the planar interdigitated electrode loss or percent poling is analyzed.
Finally, an example set of experimental results is presented for a micro-scale cantilever beam.
2. MATHEMATICAL MODEL OF INTERDIGITATED d
33
PIEZOELECTRIC BEAM
33
d
33
d
Active and Passive Smart Structures and Integrated Systems 2009, edited by Mehdi Ahmadian,
Mehrdad N. Ghasemi-Nejhad, Proc. of SPIE Vol. 7288, 72880A · © 2009 SPIE · CCC code:
0277-786X/09/$18 · doi: 10.1117/12.815533
Proc. of SPIE Vol. 7288 72880A-1