10.1007/s40095-021-00452-7

Energy harvesting through backpacks employing piezoelectric stack systems optimized for users with different physiological features

  1. Candida Oancea Institute, Polytechnic University of Bucharest, Bucharest, 060042, RO Romanian Academy, Bucharest, 010017, RO

Published in Issue 2022-01-31

How to Cite

Badescu, V. (2022). Energy harvesting through backpacks employing piezoelectric stack systems optimized for users with different physiological features. International Journal of Energy and Environmental Engineering, 13(1 (March 2022). https://doi.org/10.1007/s40095-021-00452-7

Abstract

Abstract The physiological characteristics considered here are the weight carried by the user and the walking frequency. Since the input force is low frequency, the mechanical response of the piezoelectric stack may be neglected and a model based on a first order differential equation is developed. Direct optimal control techniques are used. Three objective functions are defined in case of the resistive load and one objective function is considered for the capacitive load. General conclusions: (1) the maximum harvesting performance is obtained when the control parameters have a bang-bang-type time evolution or are constant; (2) sizing the load is strongly constrained by the physiological characteristics of the backpack user. Specific result for resistive loads: (3) the amount of dissipated energy increases by increasing the walking frequency, for both controlled and un-controlled operation. Specific results for capacitive loads: (4) the optimal capacitance is constant in time and equals the smallest allowed value; (5) the amount of energy stored in a capacitor when fully charged depends on the average weight carried by the backpack user; (6) the stored energy increases by increasing the walking frequency.

Keywords

  • Human energy source,
  • Piezoelectric energy harvester,
  • Optimal control,
  • Resistance load,
  • Capacitance load

References

  1. Wang et al. (2017) Piezoelectric vibration energy harvester with two-stage force amplification 28(9) (pp. 1175-1187) https://doi.org/10.1177/1045389X16667551
  2. Khalid et al. (2019) A review of human-powered energy harvesting for smart electronics: recent progress and challenges 6(4) (pp. 821-851) https://doi.org/10.1007/s40684-019-00144-y
  3. Feenstra et al. (2008) Energy harvesting through a backpack employing a mechanically amplified piezoelectric stack (pp. 721-734) https://doi.org/10.1016/j.ymssp.2007.09.015
  4. Xu, T-B., Siochi, EJ., Kang, JH., Zuo, L., Zhou, W., Tang, X., Jiang, X.: A piezoelectric Pzt ceramic multilayer stack for energy harvesting under dynamic forces, proceedings of the ASME 2011 International design engineering technical conferences & computers and information in engineering conference IDETC/CIE 2011, August 28–31, 2011, Washington, DC, USA DETC2011–47720 (2011)
  5. Lee et al. (2014) Energy harvesting of piezoelectric stack actuator from a shock event (pp. 011016-11021)
  6. Wang et al. (2016) Piezoelectric stack energy harvesting with a force amplification frame: Modeling and experiment 27(17) (pp. 2324-2332) https://doi.org/10.1177/1045389X16629568
  7. Rome et al. (2005) Generating electricity while walking with loads (pp. 1725-1728) https://doi.org/10.1126/science.1111063
  8. Zhao and Erturk (2014) Deterministic and band-limited stochastic energy harvesting from uniaxial excitation of a multilayer piezoelectric stack (pp. 58-65) https://doi.org/10.1016/j.sna.2014.04.019
  9. Kamali et al. (2018) A self-tuning vibration energy harvester with variable loads and maximum allowable displacement 27(10) https://doi.org/10.1088/1361-665X/aad711
  10. Hosseinlo, AH., Vu, TL and Turitsyn, K.: Optimal control strategies for efficient energy harvesting from ambient vibration. In: 2015 IEEE 54th Annual conference on decision and control (CDC) December 15–18, 5391–5396. Osaka, Japan (2015)
  11. Romero et al. (2009) Energy scavenging sources for biomedical sensors 30(9) https://doi.org/10.1088/0967-3334/30/9/R01
  12. Erturk and Inman (2011) Broadband piezoelectric power generation on high-energy orbits of the bistable Duffing oscillators with electromechanical coupling (pp. 2339-2353) https://doi.org/10.1016/j.jsv.2010.11.018
  13. Scruggs, JT.: Multi-objective optimal control of vibratory energy harvesting systems. In: Tomizuka
  14. M
  15. (ed) Sensors and smart structures technologies for civil, mechanical, and aerospace systems 2008, Proc. SPIE vol 6932, 693231 (2008)
  16. Scruggs et al. (2012) Multi-objective optimal control of vibratory energy harvesting systems (pp. 2077-2093) https://doi.org/10.1177/1045389X12443015
  17. Le et al. (2018) Optimal control of vibration-based micro-energy harvesters (pp. 1025-1042) https://doi.org/10.1007/s10957-018-1250-4
  18. Caruso, G., Galeani, S., Menini, L.: Optimal semi-active energy harvesting from mechanical oscillator with variable electromechanical damping coefficient: some preliminary properties and numerical results. In: 2015 IEEE 54th Annual conference on decision and control (CDC) December 15–18, 1966 – 1971, Osaka, Japan (2015)
  19. Renno et al. (2009) On the optimal energy harvesting from a vibration source (pp. 386-405) https://doi.org/10.1016/j.jsv.2008.07.029
  20. Baddi, R.: Transistor as a rectifier. Available at:
  21. https://arxiv.org/vc/arxiv/papers/
  22. /1205.4604v1.pdf (accessed 10 November 2020)
  23. Faltus, R., Jáně, M., Zedníček, T.:Storage capacitor properties and their effect on energy harvester performance, AVX, A kyocera group company. Available at:
  24. https://www.avx.com/docs/techinfo/
  25. Storage_Capacitor_Properties_Effect_Energy_Harvester_Performance. pdf (accessed at 10 November2020).
  26. Sodano et al. (2005) Comparison of piezoelectric energy harvesting devices for recharging batteries 16(10) (pp. 799-807) https://doi.org/10.1177/1045389X05056681
  27. Lesieutre et al. (2004) Damping as a result of piezoelectric energy harvesting 269(3-5) (pp. 991-1001) https://doi.org/10.1016/S0022-460X(03)00210-4
  28. Zhang et al. (2012) Adaptive active piezoelectric energy harvester (pp. 410-419)
  29. Mendez et al. (2013) Efficiency of harvesting energy for colored noise by linear oscillators https://doi.org/10.1103/PhysRevE.88.022124
  30. Cassidy and Scruggs (2012) Statistically linearized optimal control of an electromagnetic vibratory energy harvester https://doi.org/10.1088/0964-1726/21/8/085003
  31. Wang and Wu (2012) Optimal design of a piezoelectric coupled beam for power harvesting https://doi.org/10.1088/0964-1726/21/8/085013
  32. Costanzo et al. (2019) Power extracted from piezoelectric harvesters driven by non-sinusoidal vibrations 66(3) (pp. 1291-1303) https://doi.org/10.1109/TCSI.2018.2879751
  33. Kymissis, J., Kendall, C., Paradiso, Gershenfeld, N.: Parasitic power harvesting in shoes. In: Second IEEE International Symposium on Wearable Computers, Pittsburg, PA, 19–20 October 1998, pp. 132–139 (1998)
  34. Piskunov (1969) MIR Publishers
  35. Du Toit, NE.: Modeling and design of a MEMS piezoelectric vibration energy harvester. Dissertation, MIT, USA, (2005)
  36. Du Toit et al. (2005) Design considerations for MEMS-scale piezoelectric mechanical vibration energy harvesters (pp. 121-160) https://doi.org/10.1080/10584580590964574
  37. Twiefel, J., Richter, B., Hemsel, T., Wallaschek, J.: Model based design of piezoelectric energy harvesting systems. In: Clark WW, Ahmadian M, Lumsdaine A (eds), Smart Structures and Materials 2006: Damping and Isolation , Proc. SPIE 2006, 6169: 616909 (2006)
  38. Kahaner and Moler and Nash S, (1989) Prentice Hall
  39. Badescu (2017) Springer https://doi.org/10.1007/978-3-319-52968-4
  40. Bonnans, F., Giorgi, D., Grelard, V., Maindrault, S., Martinon, P.: BOCOP – the optimal control solver. User guide. Available at:
  41. http://bocop.org
  42. (accessed at 10 October 2020), (2014)
  43. Nocedal and Wright (1999) Springer-Verlag https://doi.org/10.1007/b98874
  44. Betts, JT.: Practical methods for optimal control using nonlinear programming. Society for industrial and applied mathematics (SIAM), Philadelphia, USA, (2001)