Energy harvesting from car suspension system: Mathematical approach for half car model
DOI:
https://doi.org/10.15282/jmes.15.1.2021.07.0607Keywords:
Energy harvesting, Piezoelectric stack method, Car suspension, Half car model, Analytical modellingAbstract
A significant contribution of this paper is developing a half car model with a built-in piezoelectric stack to evaluate the potential of harvesting power from the car suspension system. The regenerative car suspension system is modelled mathematically using Laplace transformation and simulated using MATLAB/Simulink. Two piezoelectric stacks are installed in series with the front and rear suspension springs to maintain the performance of the original suspension system in ride quality and comfortability. Half car model is subjected under harmonic excitation with acceleration of 0.5 g and velocity of 9.17 rad/s. The harvested voltage and power are tested in both time, and frequency domain approaches. The influence of the different parameters of the piezoelectric stack (number of stack layers and area to thickness) and car suspension (sprung and unsprung stiffness and damping coefficients) are examined. Also, the effect of road amplitude unevenness is considered. The results illustrate that the maximum generated voltage and power at the excitation frequency of 1.46 Hz are 33.51 V and 56.25 mW, respectively.
References
K. E. Graves, P. G. Iovenitti, D. Toncich, “Electromagnetic regenerative damping in vehicle suspension systems,” International Journal of Vehicle Design, vol. 24, no. 2–3, pp. 182–197, 2000.
L. Segel and X. Lu, “Vehicular resistance to motion as influenced by road roughness and highway alignment,” Australian Road Research, vol. 12, no. 4, pp. 211–222, 1982.
C. S. Namuduri, Y. Li, T. J. Talty, R. B. Elliott, N. Mcmahon, “Harvesting energy from vehicular vibrations using piezoelectric devices,” US patent US008143766B2, 2012.
X. Wang, Frequency analysis of vibration energy harvesting systems. Academic Press, 2016.
D. Al-Yafeai, T. Darabseh, A-H. I. Mourad, “Quarter vs. Half Car Model Energy Harvesting Systems,” in 2019 IEEE Advances in Science and Engineering Technology International Conferences (ASET), pp. 1–5, 2019.
X. D. Xie and Q. Wang, “Energy harvesting from a vehicle suspension system,” Energy, vol. 86, pp. 385–392, 2015.
M. M. Behera, “Piezoelectric Energy Harvesting from Vehicle Wheels,” International Journal of Engineering Research & Technology, vol. 4, no. 05, 2015.
B. Lafarge, S. Grondel, C. Delebarre, E. Cattan, “A validated simulation of energy harvesting with piezoelectric cantilever beams on a vehicle suspension using Bond Graph approach,” Mechatronics, vol. 53, pp. 202–214, 2018.
H. Lee, H. Jang, J. Park, S. Jeong, T. Park, S. Choi, “Design of a piezoelectric energy-harvesting shock absorber system for a vehicle,” Integrated Ferroelectrics, vol. 141, no. 1, pp. 32–44, 2013.
B. Lafarge, C. Delebarre, S. Grondel, O. Curea, and A. Hacala, “Analysis and optimization of a piezoelectric harvester on a car damper,” Physics Procedia vol. 70, pp. 970–973, 2015.
S. F. Ali and S. Adhikari, “Energy harvesting dynamic vibration absorbers,” Journal of Applied Mechanics, vol. 80, no. 4, pp. 1-9, 2013.
C. Madhav and S. F. Ali, “Harvesting energy from vibration absorber under random excitations,” IFAC-Pap., vol. 49, no. 1, pp. 807–812, 2016.
M. Arizti, “Harvesting energy from vehicle suspension,” Master of Science Thesis, Tampere University of Technology, Tampere, 2010.
W. Hendrowati, H. L. Guntur, I. N. Sutantra, “Design, modeling and analysis of implementing a multilayer piezoelectric vibration energy harvesting mechanism in the vehicle suspension,” Engineering, vol. 4, no. 11, pp. 728-738, 2012.
L. Zuo and P.-S. Zhang, “Energy harvesting, ride comfort, and road handling of regenerative vehicle suspensions,” Journal of Vibration and Acoustics, vol. 135, no. 1, pp. 295-302, 2013.
Z. Fang, X. Guo, L. Xu, H. Zhang, “An optimal algorithm for energy recovery of hydraulic electromagnetic energy-regenerative shock absorber,” Applied Mathematics & Information Sciences, vol. 7, no. 6, pp. 2207-2214, 2013.
S. Gopalakannan, S. P. Kumar, V. Premsagar, T. R. Pradeep, “Design, Fabrication and Testing of Regenerative Shock Absorber (Linear Alternator Type),” International Journal of Applied Engineering Research, vol. 10, no. 8, pp. 6133-6137, 2015.
B. Scully, L. Zuo, J. Shestani, and Y. Zhou, “Design and characterization of an electromagnetic energy harvester for vehicle suspensions,” in ASME 2009 International Mechanical Engineering Congress and Exposition, pp. 1007–1016, 2009.
Y. B. Kim, W. G. Hwang, C. D. Kee, H. B. Yi, “Active vibration control of a suspension system using an electromagnetic damper,” Proceedings of the Institution of Mechanical Engineers, Part J Automobile Engineering, vol. 215, no. 8, pp. 865–873, 2001.
P. Mitcheson and E. Yeatman, “Energy harvesting for pervasive computing,” Perada Magazines, pp. 1–3, 2008.
P. Múčka, “Energy-harvesting potential of automobile suspension,” Vehicle System Dynamics, vol. 54, no. 12, pp. 1651–1670, 2016.
M. A. Abdelkareem et al., “Vibration energy harvesting in automotive suspension system: A detailed review,” Appl. Energy, vol. 229, pp. 672–699, 2018.
R. Zhang, X. Wang, S. John, “A comprehensive review of the techniques on regenerative shock absorber systems,” Energies, vol. 11, no. 5, pp. 1-67, 2018.
J. Eriksson and S. Piroti, “Review of Methods for Energy Harvesting from a Vehicle Suspension System,” Report, KTH Royal Institute of Technology, Sweden, 2016.
Z. Jin-qiu, P. Zhi-zhao, Z. Lei, Z. Yu, “A review on energy-regenerative suspension systems for vehicles,” in Proceedings of the world congress on engineering, vol. 3, pp. 3–5, 2013.
N. H. Amer, R. Ramli, H. M. Isa, W. N. L. Mahadi, M. A. Z. Abidin, “A review of energy regeneration capabilities in controllable suspension for passengers’ car,” Energy Education Science and Technology: Energy Science and Research., vol. 30, no. 1, pp. 143–158, 2012.
H. Xiao and X. Wang, “A review of piezoelectric vibration energy harvesting techniques,” Fuel Cells Methanol, vol. 280, pp. 609-620, 2014.
S. J. Roundy, “Energy scavenging for wireless sensor nodes with a focus on vibration to electricity conversion,” PhD Thesis, University of California, Berkeley Berkeley, CA, 2003.
E. Worthington, “Piezoelectric energy harvesting: Enhancing power output by device optimisation and circuit techniques,” PhD Thesis, Cranfield University, England, 2010.
S. Priya, “Advances in energy harvesting using low profile piezoelectric transducers,” Journal of Electroceramics, vol. 19, no. 1, pp. 167–184, 2007.
C. Wei and H. Taghavifar, “A novel approach to energy harvesting from vehicle suspension system: Half-vehicle model,” Energy, vol. 134, pp. 279–288, 2017.
R. Ambrosio, A. Jimenez, J. Mireles, M. Moreno, K. Monfil, H. Heredia, “Study of piezoelectric energy harvesting system based on PZT,” Integrated Ferroelectrics, vol. 126, no. 1, pp. 77–86, 2011.
N. Makki and R. Pop-Iliev, “Piezoelectric power generation in automotive tires,” Proc. Smart Mater. Struct. AerospaceNDT Can., 2011.
D. J. Leo, Engineering analysis of smart material systems. John Wiley & Sons, 2007.
E. Lefeuvre, A. Badel, C. Richard, L. Petit, and D. Guyomar, “A comparison between several vibration-powered piezoelectric generators for standalone systems,” Sensors and Actuators A: Physical., vol. 126, no. 2, pp. 405–416, 2006.
PiezoDrive, “PiezoDrive 200V Stack Actuators,” Manual and Specifications, University Drive, Australia, pp. 1-3, 2011.
X. Jiang, Y. Li, J. Li, J. Wang, J. Yao, “Piezoelectric energy harvesting from traffic-induced pavement vibrations,” Journal of Renewable and Sustainable Energy, vol. 6, no. 4, pp. 1-16, 2014.
Y. K. Ramadass and A. P. Chandrakasan, “An efficient piezoelectric energy harvesting interface circuit using a bias-flip rectifier and shared inductor,” IEEE J. Solid-State Circuits, vol. 45, no. 1, pp. 189–204, 2010.
T. J. Kazmierski and S. Beeby, Energy harvesting systems. Springer, 2014.
H. Xiao, X. Wang, S. John, “A dimensionless analysis of a 2DOF piezoelectric vibration energy harvester,” Mechanical Systems and Signal Processing, vol. 58, pp. 355–375, 2015.
A. Agharkakli, G. S. Sabet, A. Barouz, “Simulation and analysis of passive and active suspension system using quarter car model for different road profile,” International Journal of Engineering Trends and Technology, vol. 3, no. 5, pp. 636–644, 2012.
C.-Y. Lin, “Material characterization and modeling for piezoelectric actuation and power generation under high electromechanical driving levels,” PhD Thesis, Massachusetts Institute of Technology, 2002.
M. Z. Hossain and M. N. A. Chowdhury, “Ride Comfort of a 4 DOF NonLinear Heavy VehicleSuspension,” ISESCO Journal of Science and Technology, vol. 8, pp. 80–85, 2012.
C. W. De Silva, F. Khoshnoud, M. Li, and S. K. Halgamuge, Mechatronics: Fundamentals and Applications. CRC Press, 2015.
ISO 13473-1, “Characterization of pavement texture by use of surface profiles–Part 1: Determination of mean profile depth,” Eur Stand ICS 1714030 Eur Comm Stand Bruss, pp. 1-47, 1997.
K. Ahlin and N. J. Granlund, “Relating road roughness and vehicle speeds to human whole body vibration and exposure limits,” Int. J. Pavement Eng., vol. 3, no. 4, pp. 207–216, 2002.
F. Tyan, Y.-F. Hong, S.-H. Tu, W. S. Jeng, “Generation of random road profiles,” J. Adv. Eng., vol. 4, no. 2, pp. 1373–1378, 2009.
S. S. Patole and S. H. Sawant, “Theoretical and numerical analysis of half car vehicle dynamic model subjected to different road profiles with wheel base delay and nonlinear parameters,” International Journal of Multidisciplinary and Current Research, vol. 3, pp. 542–546, 2015.
D. Al-Yafeai, T. Darabseh, and A-H. I. Mourad, “A State-Of-The-Art Review of Car Suspension-Based Piezoelectric Energy Harvesting Systems,” Energies, vol. 13, no. 9, pp. 1-39, 2020.
Z. Zhao et al., “Analysis and application of the piezoelectric energy harvester on light electric logistics vehicle suspension systems,” Energy Science & Engineering, pp. 2741-2755, 2019.
K. Anil and N. Sreeka, “Piezoelectric power generation in tires.” International Journal of Electrical, Electronics and Computer Systems (IJEECS), vol. 2, no. 2, 2014
P. Piyush and A. Pandey, “Use of Vibration Energy For Charging Electric Car,” International Journal of Mechanical Engineering & Technology, vol. 7, no. 2, pp. 59–65, 2016.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2021 The Author(s)
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.