Piezoelectric wind energy harvesting from vortex- induced vibrations of an elastic beam

Document Type : Article

Authors

Department of Mechanical Engineering, College of Engineering, Fasa University, Fasa, 74617-81189, Iran

Abstract

In the present study, the performance of a cylinder-based piezoelectric wind energy harvester attached to an elastic beam is numerically simulated. The wind flow perpendicular to beam axis causes an oscillatory aerodynamic force exerted on the beam tip. The beam and the piezoelectric layer are modeled as elastic continuous bodies, and the continuum governing equations of the solid and piezoelectric layers are extracted. Moreover, the induced lift force by the vortex shedding downstream of the cylinder is estimated by the modified van der Pol wake oscillator equation. The cantilever mode shapes and the Galerkin method is applied to solve the three transient and coupled equations of elastic deflection, electrical resistance and fluid force. Besides to verify the accuracy of the modified van der Pol equation, a moving object computational fluid dynamics (CFD) simulation is also conducted. The effect of oscillator length, cylinder diameter, resistance load, structure and piezoelectric thickness as well as the wind speed on the produced power is investigated. According to the obtained results, by increasing of the cylinder diameter from 0.05 m by 100, 200 and 300 %, the output power is increased by 219, 801 and 1502 % at the wind speed of 5 m/s.

Keywords


References:
1. Le Scornec, J., Guiffard, B., Seveno, R., et al. "Selfpowered communicating wireless sensor with flexible aero-piezoelectric energy harvester", Renew. Energ., 184, pp. 551-563 (2022).
2. Azimi, S., Golabchi, A., Nekookar, A., et al. "Selfpowered cardiac pacemaker by piezoelectric polymer nanogenerator implant", Nano Energy., 83, pp. 105781 (2021).
3. Karimzadeh, A. and Ahmadian, M.T. "Vibrational characteristics of size-dependent vibrating ring gyroscope", Sci. Iran., 25(6): Special Issue Dedicated to Professor Goodarz Ahmadi, pp. 3151-3160 (2018).
4. Wang, J., Geng, L., Ding, L., et al. "The state-ofthe-art review on energy harvesting from  flow-induced vibrations", Appl. Energ., 267, 114902 (2020).
5. Wiriyasart, S. and Naphon, P. "Thermal to electrical closed-loop thermoelectric generator with compact heat sink modules", Int. J. Heat Mass Tran., 164, 120562 (2021).
6. Eugeni, M., Elahi, H., Fune, F., et al. "Numerical and experimental investigation of piezoelectric energy harvester based on flag-flutter", Aerosp. Sci. Technol., 97, 105634 (2020).
7. Akkaya Oy, S. "A design of mass-spring type piezoelectric energy harvesting", Sci. Iran., 28(6), pp. 3504- 3511 (2021).
8. Zhang, L., Xu, X., Han, Q., et al. "Energy harvesting of beam vibration based on piezoelectric stacks", Smart Mater. Struct., 28(12), 125020 (2019).
9. Hassena, M.A.B., Samaali, H., Ouakad, H.M., et al. "2D electrostatic energy harvesting device using a single shallow arched microbeam", Int. J. NonLin. Mech., 132, 103700 (2021).
10. Yan, B., Yu, N., Zhang, L., et al. "Scavenging vibrational energy with a novel bistable electromagnetic energy harvester", Smart Mater. Struct., 29(2), 025022 (2020).
11. Allen, J.J. and Smits, A.J. "Energy harvesting eel", J. Fluid. Struct., 15(3-4), pp. 629-640 (2001).
12. Wang, D.-A. and Ko, H.-H. "Piezoelectric energy harvesting from flow-induced vibration", J. Micromech. Microeng., 20(2), 025019 (2010).
13. Wang, D.-A., Chiu, C.-Y., and Pham, H.-T. "Electromagnetic energy harvesting from vibrations induced by Karman vortex street", Mechatronics., 22(6), pp. 746-756 (2012).
14. Garcia-Baena, C., Jimenez-Gonzalez, J.I., Gutierrez- Montes, C., et al. "Numerical analysis of the  flowinduced vibrations in the laminar wake behind a blunt body with rear flexible cavities", J. Fluid. Struct., 100, 103194 (2021).
15. Wang, J., Zhang, C., Zhang, M., et al. "Enhancing energy harvesting from flow-induced vibrations of a circular cylinder using a downstream rectangular plate: An experimental study", Int. J. Mech. Sci., 211, 106781 (2021).
16. Wang, J., Zhou, S., Zhang, Z., et al. "Highperformance piezoelectric wind energy harvester with Y-shaped attachments", Energ. Convers. Manage., 181, pp. 645-652 (2019).
17. Zhang, L., Zhang, F., Qin, Z., et al. "Piezoelectric energy harvester for rolling bearings with capability of self-powered condition monitoring", Energy., 238, 121770 (2022).
18. Barrero-Gil, A., Pindado, S., and Avila, S. "Extracting energy from vortex-induced vibrations: a parametric study", Appl. Math. Model., 36(7), pp. 3153-3160 (2012).
19. Akaydin, H.D., Elvin, N., and Andreopoulos, Y. "Energy harvesting from highly unsteady  fluid flows using piezoelectric materials", J. Intel. Mat. Syst. Str., 21(13), pp. 1263-1278 (2010).
20. Akaydin, H.D., Elvin, N., and Andreopoulos, Y. "Wake of a cylinder: a paradigm for energy harvesting with piezoelectric materials", Exp. Fluids., 49(1), pp. 291-304 (2010).
21. Lai, Z., Wang, S., Zhu, L., et al. "A hybrid piezodielectric wind energy harvester for high-performance vortex-induced vibration energy harvesting", Mech. Syst. Signal Pr., 150, p. 107212 (2021).
22. Zhao, X., Zhu, W.D., and Li, Y.H. "Closed-form solutions of bending-torsion coupled forced vibrations of a piezoelectric energy harvester under a fluid vortex", J. Vib. Acoust., 144(2) (2022).
23. Dai, H.L., Abdelkefi, A., and Wang, L. "Piezoelectric energy harvesting from concurrent vortex-induced vibrations and base excitations", Nonlinear Dynam., 77(3), pp. 967-981 (2014).
24. Han P, Hemon P, Pan G, et al. "Nonlinear modeling of combined galloping and vortex-induced vibration of square sections under flow", Nonlinear Dynam., 103(4), pp. 3113-3125 (2021).
25. Abdelkefi, A., Najar, F., Nayfeh, A.H., et al. "An energy harvester using piezoelectric cantilever beams undergoing coupled bending-torsion vibrations", Smart Mater. Struct., 20(11), 115007 (2011).
26. Facchinetti, M.L., De Langre, E., and Biolley, F. "Coupling of structure and wake oscillators in vortexinduced vibrations", J. Fluid. Struct., 19(2), pp. 123- 140 (2004).
27. Rao, S.S., Vibration of Continuous Systems, John Wiley & Sons (2019).
28. Coughtrie, A.R., Borman, D.J., and Sleigh, P.A. "Effects of turbulence modelling on prediction of  flow characteristics in a bench-scale anaerobic gaslift digester", Bioresource Technol., 138, pp. 297-306 (2013).
29. Jain, R. and Mohammad, U. "CFD approach of Joukowski airfoil (T = 12%), comparison of its aerodynamic performance with NACA airfoils using k-03b5 turbulence model with 3 million Reynolds number", Int. Res. J. Eng. Technol., 5(10), pp. 1414-1418 (2018).
Volume 30, Issue 1
Transactions on Mechanical Engineering (B)
January and February 2023
Pages 77-89
  • Receive Date: 10 January 2022
  • Revise Date: 08 June 2022
  • Accept Date: 01 October 2022