Material equivalence, modeling and experimental validation of a piezoelectric boot energy harvester

This paper presents a material equivalent model, electromechanical coupling finite element (FE) modeling and experimental validation of a piezoelectric energy harvester for energy harvesting from human walking. The harvester comprises of six piezoelectric stacks within force amplification frames sandwiched between two heel-shaped aluminum plates, which can be put inside shoes as a shoe heel. The harvester amplifies the vertical dynamic reaction forces with ground at a heel and transfers them to the inner piezoelectric stacks to maximize the power output. Symmetries in geometry, load and boundary conditions are fully exploited and the multilayered piezoelectric stack is simplified as an equivalent bulk to simplify the FE model and expedite dynamic analysis. Dynamic simulation is performed on the symmetric FE model over different external resistive loads with the measured forces at different walking speeds as inputs. The prototype of the harvester is fabricated and tested on a treadmill to validate the proposed material equivalent model and FE model. The simulation results agree well with both the experimental measurements and numerical predictions from the simplified single degree-of-freedom (DOF) model. Parametric study is performed on the validated FE model to investigate the effect of geometric dimensions of the force amplification frames on the power output. The peak power outputs of 83.2 mW and 84.8 mW, and average power outputs of 8.5 mW and 9.3 mW are experimentally achieved at the walking speeds of 2.5 mph (4.0 km/h) and 3.0 mph (4.8 km/h), which agree well with the simulations. Simulation shows that an average power of 34.7 mW can be obtained at 6.0 mph (9.7 km/h).

[1]  Yaowen Yang,et al.  Trident-Shaped Multimodal Piezoelectric Energy Harvester , 2018, Journal of Aerospace Engineering.

[2]  W. Qin,et al.  Scavenging wind energy by a Y-shaped bi-stable energy harvester with curved wings , 2018, Energy.

[3]  Ali Maher,et al.  Laboratory testing and numerical simulation of piezoelectric energy harvester for roadway applications , 2018, Applied Energy.

[4]  Dan Simon,et al.  Biogeography-Based Optimization , 2022 .

[5]  Xu Wang,et al.  Dimensionless optimization of piezoelectric vibration energy harvesters with different interface circuits , 2013 .

[6]  Xiaoning Jiang,et al.  Finite element analysis of the piezoelectric stacked-HYBATS transducer , 2013 .

[7]  Junyi Cao,et al.  Enhanced mathematical modeling of the displacement amplification ratio for piezoelectric compliant mechanisms , 2016 .

[8]  L. Moro,et al.  Harvested power and sensitivity analysis of vibrating shoe-mounted piezoelectric cantilevers , 2010 .

[9]  Lukai Guo,et al.  Modeling a new energy harvesting pavement system with experimental verification , 2017 .

[10]  Haocheng Xiong,et al.  Piezoelectric energy harvester for public roadway: On-site installation and evaluation , 2016 .

[11]  Steven R. Anton,et al.  Multilayer piezoelectret foam stack for vibration energy harvesting , 2017 .

[12]  Ricardo Martinez-Botas,et al.  Footstep energy harvesting using heel strike-induced airflow for human activity sensing , 2016, 2016 IEEE 13th International Conference on Wearable and Implantable Body Sensor Networks (BSN).

[13]  Xiaoning Jiang,et al.  Energy harvesting using a PZT ceramic multilayer stack , 2013 .

[14]  Hao Wang,et al.  Energy harvesting technologies in roadway and bridge for different applications – A comprehensive review , 2018 .

[15]  Feng Qian,et al.  Theoretical modeling and experimental validation of a torsional piezoelectric vibration energy harvesting system , 2018 .

[16]  Yabin Liao,et al.  Maximum power, optimal load, and impedance analysis of piezoelectric vibration energy harvesters , 2018, Smart Materials and Structures.

[17]  Wei-Hsin Liao,et al.  Magnetic-spring based energy harvesting from human motions: Design, modeling and experiments , 2017 .

[18]  Yanqi Li,et al.  The influence of lay-up design on the performance of bi-stable piezoelectric energy harvester , 2017 .

[19]  Cenk Celik,et al.  Energy harvesting with the piezoelectric material integrated shoe , 2018 .

[20]  A. A. Elvin,et al.  Vibrational Energy Harvesting From Human Gait , 2013, IEEE/ASME Transactions on Mechatronics.

[21]  Yaowen Yang,et al.  Equivalent Circuit Modeling of Piezoelectric Energy Harvesters , 2009 .

[22]  Christopher R. Bowen,et al.  Optimum resistance analysis and experimental verification of nonlinear piezoelectric energy harvesting from human motions , 2017 .

[23]  F. Dai,et al.  Design and analysis of a broadband vibratory energy harvester using bi-stable piezoelectric composite laminate , 2018, Energy Conversion and Management.

[24]  Wei-Hsin Liao,et al.  A smart harvester for capturing energy from human ankle dorsiflexion with reduced user effort , 2018, Smart Materials and Structures.

[25]  Kangqi Fan,et al.  Scavenging energy from human walking through a shoe-mounted piezoelectric harvester , 2017 .

[26]  Jingjing Zhao,et al.  A Shoe-Embedded Piezoelectric Energy Harvester for Wearable Sensors , 2014, Sensors.

[27]  Mohsen Safaei,et al.  Energy Harvesting and Sensing With Embedded Piezoelectric Ceramics in Knee Implants , 2018, IEEE/ASME Transactions on Mechatronics.

[28]  Feng Qian,et al.  Design, optimization, modeling and testing of a piezoelectric footwear energy harvester , 2018, Energy Conversion and Management.

[29]  Ying Liu,et al.  Optimization of Triboelectric Nanogenerator Charging Systems for Efficient Energy Harvesting and Storage , 2015, IEEE Transactions on Electron Devices.

[30]  Meiling Zhu,et al.  A sandwiched piezoelectric transducer with flex end-caps for energy harvesting in large force environments , 2017 .

[31]  Lei Zuo,et al.  Piezoelectric vibration energy harvester with two-stage force amplification , 2017 .

[32]  Quan Wang,et al.  Energy harvesting from transverse ocean waves by a piezoelectric plate , 2014 .

[33]  Frank T. Fisher,et al.  A coupled piezoelectric–electromagnetic energy harvesting technique for achieving increased power output through damping matching , 2009 .

[34]  Zhifei Shi,et al.  Modeling on energy harvesting from a railway system using piezoelectric transducers , 2015 .

[35]  Eric J. Barth,et al.  Analytical Tools for Investigating Stability and Power Generation of Electromagnetic Vibration Energy Harvesters , 2016, IEEE/ASME Transactions on Mechatronics.

[36]  Said F. Al-Sarawi,et al.  A simplified transfer matrix of multi-layer piezoelectric stack , 2017 .

[37]  Said F. Al-Sarawi,et al.  Formulation of a simple distributed-parameter model of multilayer piezoelectric actuators , 2016 .

[38]  Xu Wang,et al.  A multi-degree of freedom piezoelectric vibration energy harvester with piezoelectric elements inserted between two nearby oscillators , 2016 .

[39]  Joseph A. Paradiso,et al.  Energy Scavenging with Shoe-Mounted Piezoelectrics , 2001, IEEE Micro.

[40]  Jeong Ho You,et al.  Experimental study on self-powered synchronized switch harvesting on inductor circuits for multiple piezoelectric plates in acoustic energy harvesting , 2015 .

[41]  Feng Qian,et al.  A distributed parameter model for the piezoelectric stack harvester subjected to general periodic and random excitations , 2018, Engineering Structures.

[42]  Yaowen Yang,et al.  Finite element modeling of nonlinear piezoelectric energy harvesters with magnetic interaction , 2015 .

[43]  Henry A. Sodano,et al.  Energy harvesting through a backpack employing a mechanically amplified piezoelectric stack , 2008 .

[44]  Joseph A. Paradiso,et al.  Parasitic power harvesting in shoes , 1998, Digest of Papers. Second International Symposium on Wearable Computers (Cat. No.98EX215).