Optimum power and efficiency of piezoelectric vibration energy harvesters with sinusoidal and random vibrations

Assuming a sinusoidal vibration as input, an inertial piezoelectric harvester designed for maximum efficiency of the electromechanical energy conversion does not always lead to maximum power generation. In this case, what can be gained by optimizing the efficiency of the device? Detailing an answer to this question is the backbone of this paper. It is shown that, while the maximum efficiency operating condition does not always lead to maximum power generation, it corresponds always to maximum power per square unit deflection of the piezoelectric harvester. This understanding allows better optimization of the generated power when the deflection of the device is limited by hard stops. This is illustrated by experimental measurements on vacuum-packaged MEMS harvesters based on AlN as piezoelectric material. The results obtained for a sinusoidal vibration are extended to random vibrations. In this case, we demonstrate that the optimum generated power is directly proportional to the efficiency of the harvester, thus answering the initial question. For both types of studied vibrations, simple closed-form formulas describing the generated power and efficiency in optimum operating conditions are elaborated. These formulas are based on parameters that are easily measured or modeled. Therefore, they are useful performance metrics for existing piezoelectric harvesters.

[1]  Ryan L. Harne,et al.  A review of the recent research on vibration energy harvesting via bistable systems , 2013 .

[2]  Meiling Zhu,et al.  Plucked piezoelectric bimorphs for knee-joint energy harvesting: modelling and experimental validation , 2011 .

[3]  Peter Woias,et al.  Parameter identification for resonant piezoelectric energy harvesters in the low- and high-coupling regimes , 2011 .

[4]  V. Pop,et al.  Vacuum-packaged piezoelectric vibration energy harvesters: damping contributions and autonomy for a wireless sensor system , 2010 .

[5]  Julien Penders,et al.  Energy Harvesting for Autonomous Wireless Sensor Networks , 2010, IEEE Solid-State Circuits Magazine.

[6]  Michaël Renaud,et al.  Piezoelectric Energy Harvesters for Wireless Sensor Networks (Piezoelectrische energie opwekking voor draadloze sensor netwerken) , 2009 .

[7]  Skandar Basrour,et al.  Vibration Energy Harvesting with PZT Micro Device , 2009 .

[8]  C. Van Hoof,et al.  Micropower energy harvesting , 2009, ESSDERC 2009.

[9]  Daniel J. Inman,et al.  On the optimal energy harvesting from a vibration source using a PZT stack , 2009 .

[10]  E. Halvorsen.  Energy Harvesters Driven by Broadband Random Vibrations , 2008, Journal of Microelectromechanical Systems.

[11]  H. Wikle,et al.  The design, fabrication and evaluation of a MEMS PZT cantilever with an integrated Si proof mass for vibration energy harvesting , 2008 .

[12]  Chris Van Hoof,et al.  Optimization of a piezoelectric unimorph for shock and impact energy harvesting , 2007 .

[13]  Clarence W. de Silva,et al.  Vibration damping, control, and design , 2007 .

[14]  Yi-Chung Shu,et al.  Efficiency of energy conversion for a piezoelectric power harvesting system , 2006 .

[15]  N. Dutoit,et al.  PERFORMANCE OF MICROFABRICATED PIEZOELECTRIC VIBRATION ENERGY HARVESTERS , 2006 .

[16]  Mohammed Arshad,et al.  Network Analysis and Synthesis , 2006 .

[17]  D. Guyomar,et al.  Piezoelectric Energy Harvesting Device Optimization by Synchronous Electric Charge Extraction , 2005 .

[18]  William W. Clark,et al.  Piezoelectric Energy Harvesting with a Clamped Circular Plate: Analysis , 2005 .

[19]  Francois Costa,et al.  Energy harvesting from vibration using a piezoelectric membrane , 2005 .

[20]  Sang-Gook Kim,et al.  MEMS power generator with transverse mode thin film PZT , 2005 .

[21]  Sang-Gook Kim,et al.  DESIGN CONSIDERATIONS FOR MEMS-SCALE PIEZOELECTRIC MECHANICAL VIBRATION ENERGY HARVESTERS , 2005 .

[22]  Paul K. Wright,et al.  A piezoelectric vibration based generator for wireless electronics , 2004 .

[23]  D. Markley,et al.  Energy Harvesting Using a Piezoelectric “Cymbal” Transducer in Dynamic Environment , 2004 .

[24]  Michael J. Anderson,et al.  Efficiency of energy conversion for devices containing a piezoelectric component , 2004 .

[25]  Ellad B. Tadmor,et al.  Electromechanical coupling correction for piezoelectric layered beams , 2003 .

[26]  Nesbitt W. Hagood,et al.  Damping of structural vibrations with piezoelectric materials and passive electrical networks , 1991 .

[27]  Charles W. Bert,et al.  Material damping: An introductory review of mathematic measures and experimental technique , 1973 .

[28]  Pey Wen. Ho.  Vibration energy harvesting. , 2013 .

[29]  T. Mishima,et al.  VIBRATION ENERGY HARVESTERS OF LEAD-FREE ( K , Na ) NbO 3 PIEZOELECTRIC THIN FILMS , 2011 .

[30]  Paolo Fiorini,et al.  Human++: autonomous wireless sensors for body area networks , 2005, Proceedings of the IEEE 2005 Custom Integrated Circuits Conference, 2005..

[31]  Leonard Meirovitch,et al.  Elements Of Vibration Analysis , 1986 .