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Nonlinear Model and Experimental Verification of Bistable Hybrid Energy Harvester Based on Wheel–Rail Vibration

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Journal of Vibration Engineering & Technologies Aims and scope Submit manuscript

Abstract

Purpose

With the rapid development of rail transit, it is becoming more demanding to structural health monitoring (SHM) of long-span tracks. In order to ensure the safe operation of railway systems, it is crucial to supply power for wayside monitoring sensing devices.

Methods

A hybrid piezoelectric-electromagnetic energy harvester (HPEH) based on wheel-rail vibration is designed to supply power for wayside monitoring sensing devices. The coupling model of control equation of hybrid energy harvester and wheel-rail dynamics is built to devote the relationship between the output power of hybrid energy harvester and external excitation signal. HPEH is fabricated and fixed onto the track wrist for harvesting the wheel-rail vibration energy for power supply of wayside monitoring sensing devices.

Results

By theoretical analysis, finite element modeling (FEM), and experiment validation, the maximum voltage of bistable HPEH reaches at either 150 or 260 Hz. The bistable HPEH has the output voltage 2.12 V and the output power of 266.4 mW. Field tests have validated that HPEH is applied to power supply of wayside monitoring sensing devices successfully by converting vibration energy into electrical energy.

Conclusions

New multi-stable energy harvester has great prospects and reliability in the power supply to wayside sensing devices to long-term SHM of the railway system for promoting the intelligent sensing level of the track.

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Data availability

The data are available from the corresponding authors on reasonable request.

Abbreviations

PE:

Piezoelectric

EM:

Electromagnetic

SD:

Spectral density

MEMS:

Micro electro mechanical systems

HPEH:

Hybrid PE–EM energy harvester

z(t):

Amplitude of piezoelectric cantilever beam

a(t):

Excitation acceleration

me :

Effective mass

Cm :

Mechanical damping coefficient

Ke :

Stiffness

Rp :

Load resistance of PE element

Iem :

Output current of EM element

Rc :

Resistance of coils

Lc :

Inductance of coils

Rm :

Load resistance of EM element

θ :

PE transfer factors

ge :

EM transfer factors

Fm :

Force between magnets

Cp :

Equivalent capacitance of PE layer

SA(w):

Spectral density

ω:

Excitation frequency

Vp :

Output voltage of PE element

μ :

Correction factor

μ0 :

Magnetic permeability

References

  1. Sasi D, Philip S, David R et al (2020) A review on structural health monitoring of railroad track structures using fiber optic sensors. Mater Today Proc 33:3787–3793

    Article  Google Scholar 

  2. Wang Y, Tian J, Sun Z et al (2020) A comprehensive review of battery modeling and state estimation approaches for advanced battery management systems. Renew Sustain Energy Rev 131:110015

    Article  Google Scholar 

  3. Wang Q, Wang Z, Mo J et al (2023) Effect and mechanism of wheel–rail adhesion on torsional vibration and stability of the braking system. Tribol Int 179:108182

    Article  Google Scholar 

  4. Ma X, Li H, Zhou S et al (2022) Characterizing nonlinear characteristics of asymmetric tristable energy harvesters. Mech Syst Signal Process 168:108612

    Article  Google Scholar 

  5. Aouali K, Kacem N, Bouhaddi N (2022) Functionalization of internal resonance in magnetically coupled resonators for highly efficient and wideband hybrid vibration energy harvesting. Sensors 22(19):7657

    Article  Google Scholar 

  6. Litak G, Margielewicz J, Gąska D et al (2022) On theoretical and numerical aspects of bifurcations and hysteresis effects in kinetic energy harvesters. Sensors 22(1):381

    Article  Google Scholar 

  7. Suzuki YJPP (2010) Development of a MEMS energy harvester with high-performance polymer electrets. 47–52

  8. Zhang J, Wang C, Bowen C (2014) Piezoelectric effects and electromechanical theories at the nanoscale. Nanoscale 6(22):13314–13327

    Article  Google Scholar 

  9. Naruse Y, Matsubara N, Mabuchi K et al (2009) Electrostatic micro power generation from low-frequency vibration such as human motion. J Micromech Microeng 19(9):094002

    Article  Google Scholar 

  10. Ryu H, Yoon HJ, Kim SW (2019) Hybrid energy harvesters: toward sustainable energy harvesting. Adv Mater 31(34):1802898

    Article  Google Scholar 

  11. Doi M, Oba M (2010) Development and application of a compact vibration-driven micropower generator using electret materials. Funct Mater 30(10):21–28

    Google Scholar 

  12. Park JY, Salauddin M, Rasel MS (2019) Nanogenerator for scavenging low frequency vibrations. J Micromech Microeng 29(5):053001

    Article  Google Scholar 

  13. Erturk A, Inman DJ (2011) Broadband piezoelectric power generation on high-energy orbits of the bistable duffing oscillator with electromechanical coupling. J Sound Vib 330(10):2339–2353

    Article  Google Scholar 

  14. Yao M, Zhang W, Yao Z (2015) Nonlinear Vibrations and Chaotic Dynamics of the Laminated Composite Piezoelectric Beam. J Vib Acoust 137(1):011002

    Article  MathSciNet  Google Scholar 

  15. Ferrari M, Ferrari V, Guizzetti M et al (2009) Improved energy harvesting from wideband vibrations by nonlinear piezoelectric converters. Proc Chem 1(1):1203–1206

    Article  Google Scholar 

  16. Mann BP, Owens BA (2010) Investigations of a nonlinear energy harvester with a bistable potential well. J Sound Vib 329(9):1215–1226

    Article  Google Scholar 

  17. Foisal ARM, Hong C, Chung G-S (2012) Multi-frequency electromagnetic energy harvester using a magnetic spring cantilever. Sens Actuators A Phy 182:106–113

    Article  Google Scholar 

  18. Challa VR, Prasad MG, Fisher FT (2009) A coupled piezoelectric–electromagnetic energy harvesting technique for achieving increased power output through damping matching. Smart Mater Struct 18(9):095029

    Article  Google Scholar 

  19. Tadesse Y, Shujun Z, Priya S (2008) Multimodal energy harvesting system: piezoelectric and electromagnetic. J Intell Mater Syst Struct 20(5):625–632

    Article  Google Scholar 

  20. Mahmoudi S, Kacem N, Bouhaddi N (2014) Enhancement of the performance of a hybrid nonlinear vibration energy harvester based on piezoelectric and electromagnetic transductions. Smart Mater Struct 23(7):075024

    Article  Google Scholar 

  21. Edwards B, Hu PA, Aw KC (2016) Validation of a hybrid electromagnetic–piezoelectric vibration energy harvester. Smart Mater Struct 25(5):055019

    Article  Google Scholar 

  22. Wu L, Li H, Zhang G (2016) Design of a new nonlinear hybrid piezoelectric and electromagnetic energy harvester. 38: 570–574

  23. Li P, Gao S, Zhou X et al (2017) Analytical modeling, simulation and experimental study for nonlinear hybrid piezoelectric–electromagnetic energy harvesting from stochastic excitation. Microsyst Technol 23(12):5281–5292

    Article  Google Scholar 

  24. Li P, Gao S, Zhou X et al (2017) On the performances of a nonlinear hybrid piezoelectric and electromagnetic energy harvester. Microsyst Technol 24(2):1017–1024

    Article  Google Scholar 

  25. Dong L, Zuo J, Wang T et al (2022) Enhanced piezoelectric harvester for track vibration based on tunable broadband resonant methodology. Energy 254:124274

    Article  Google Scholar 

  26. Gao M, Yang F, Wang P (2018) Symplectic analysis of stationary random vibration of vehicle–track coupled system with rail-borne electromagnetic generator. Adv Mech Eng 10(10):1687814018804746

    Article  Google Scholar 

  27. Debnath B, Kumar R (2021) A piezoelectric energy harvester designed for vibration energy scavenging and shaft fault diagnosing-based applications. J Vib Eng Technol 9(6):1387–1398

    Article  Google Scholar 

  28. Jin L, Deng WL, Su YC et al (2017) Self-powered wireless smart sensor based on maglev porous nanogenerator for train monitoring system. Nano Energy 38:185–192

    Article  Google Scholar 

  29. Cleante VG, Brennan MJ, Gatti G et al (2019) On the target frequency for harvesting energy from track vibrations due to passing trains. Mech Syst Signal Process 114:212–223

    Article  Google Scholar 

  30. Geng LX, Bian S, Li T, et al (2018) Application of triboelectric nanogenerator in the railway system. In: International conference on electrical and information technologies for rail transportation. Springer Verlag pp. 895–904

  31. Xu Z, Wang X, Zhang Y (2023) Enhanced performances by tri-stable vibration absorber and energy harvester with negative ground connecting stiffness for impulse response. J Vib Eng Technol 11(3):1177–1196

    Article  Google Scholar 

  32. Zhang Y, Wang X, Du Q, et al (2023) Design of a lightweight quasi-zero stiffness electromagnetic energy harvester for low-frequency vibration. J Vib Eng Technol 1-11

  33. Maroofiazar R, Fahimi FM (2023) A hybrid vibration energy harvester: experimental investigation, numerical modeling, and statistical analysis. J Vib Eng Technol 11(4):1575–1593

    Article  Google Scholar 

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Acknowledgements

This research is supported by: National Natural Science Foundation of China (52165069), Natural Science Foundation of Jiangxi Province (20224BAB214051), Opening funding from State Key Lab of Digital Manufacturing Equipment and Technology (IMETKF2023013), and Jiangxi Province Graduate Innovation Special Fund Project Support (YC2023-S508).

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Authors and Affiliations

  1. School of Electrical and Automation Engineering, East China Jiaotong University, Nanchang, 330013, China

    Wentao Dong, Chun Zhu, Xianghui Pan, Wei Xu & Xiao Cheng

  2. State Key Laboratory of Intelligent Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, 430074, China

    Wentao Dong

Authors
  1. Wentao Dong
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  2. Chun Zhu
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  3. Xianghui Pan
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  4. Wei Xu
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  5. Xiao Cheng
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Contributions

WD: Conceptualization, Methodology, Investigation, Writing-original draft and Funding acquisition. CZ: Methodology, Investigation, Formal analysis, Software and Writing-original draft. XP: Validation and Formal analysis. WX: Validation and Formal analysis. XC: Methodology, Conceptualization and Supervision.

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Correspondence to Wentao Dong.

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Dong, W., Zhu, C., Pan, X. et al. Nonlinear Model and Experimental Verification of Bistable Hybrid Energy Harvester Based on Wheel–Rail Vibration. J. Vib. Eng. Technol. (2024). https://doi.org/10.1007/s42417-024-01350-y

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  • DOI: https://doi.org/10.1007/s42417-024-01350-y

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