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Theoretical modeling of thermoelectric generator with particular emphasis on the effect of side surface heat transfer

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  • Shen, Zu-Guo
  • Wu, Shuang-Ying
  • Xiao, Lan
  • Yin, Gang

Abstract

Based on one-dimensional steady analysis, a comprehensive theoretical model for analyzing the performance of TEGs (thermoelectric generators) is proposed, in which finite element method and integral-averaged Seebeck coefficient are employed to effectively consider the effects of temperature-dependence of thermoelectric materials and Thomson effect respectively. The optimal segments for each case are identified. Under the optimal segments, the impact of SSHT (side surface heat transfer) is particularly emphasized for two commercial thermoelectric materials. Compared with that without considering SSHT, the present model has the similar form, but an additional term is included and the potential fractions of Fourier heat conduction and Joule heat are reduced. Also the nonlinear temperature distributions along the legs are presented, and the variation of the efficiency with leg length under CTMV (constant thermoelectric material volume) is changed from monotonously increasing to downward parabola. As the SSHT coefficient h increases, the efficiency decreases. However, the maximum output power emerges depending on h and thermoelectric materials, indicating that proper h is beneficial for cost-free heat sources. Considering that h may vary at any time, TEGs with leg length between 2 mm and 4 mm under CTMV of 22.5 mm3 is recommended.

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  • Shen, Zu-Guo & Wu, Shuang-Ying & Xiao, Lan & Yin, Gang, 2016. "Theoretical modeling of thermoelectric generator with particular emphasis on the effect of side surface heat transfer," Energy, Elsevier, vol. 95(C), pages 367-379.
    • Handle: RePEc:eee:energy:v:95:y:2016:i:c:p:367-379
    DOI: 10.1016/j.energy.2015.12.005
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    as
    1. Su, Shanhe & Liu, Tie & Wang, Junyi & Chen, Jincan, 2014. "Evaluation of temperature-dependent thermoelectric performances based on PbTe1−yIy and PbTe: Na/Ag2Te materials," Energy, Elsevier, vol. 70(C), pages 79-85.
    2. Francioso, Luca & De Pascali, Chiara & Siciliano, Pietro, 2015. "Experimental assessment of thermoelectric generator package properties: Simulated results validation and real gradient capabilities," Energy, Elsevier, vol. 86(C), pages 300-310.
    3. Ohara, B.Y. & Lee, H., 2015. "Exergetic analysis of a solar thermoelectric generator," Energy, Elsevier, vol. 91(C), pages 84-90.
    4. Champier, D. & Bédécarrats, J.P. & Kousksou, T. & Rivaletto, M. & Strub, F. & Pignolet, P., 2011. "Study of a TE (thermoelectric) generator incorporated in a multifunction wood stove," Energy, Elsevier, vol. 36(3), pages 1518-1526.
    5. Wang, Yuchao & Dai, Chuanshan & Wang, Shixue, 2013. "Theoretical analysis of a thermoelectric generator using exhaust gas of vehicles as heat source," Applied Energy, Elsevier, vol. 112(C), pages 1171-1180.
    6. Gou, Xiaolong & Xiao, Heng & Yang, Suwen, 2010. "Modeling, experimental study and optimization on low-temperature waste heat thermoelectric generator system," Applied Energy, Elsevier, vol. 87(10), pages 3131-3136, October.
    7. Xiong, Bing & Chen, Lingen & Meng, Fankai & Sun, Fengrui, 2014. "Modeling and performance analysis of a two-stage thermoelectric energy harvesting system from blast furnace slag water waste heat," Energy, Elsevier, vol. 77(C), pages 562-569.
    8. Hsiao, Y.Y. & Chang, W.C. & Chen, S.L., 2010. "A mathematic model of thermoelectric module with applications on waste heat recovery from automobile engine," Energy, Elsevier, vol. 35(3), pages 1447-1454.
    9. Fateh, Haiyan & Baker, Chad A. & Hall, Matthew J. & Shi, Li, 2014. "High fidelity finite difference model for exploring multi-parameter thermoelectric generator design space," Applied Energy, Elsevier, vol. 129(C), pages 373-383.
    10. Ibrahim, Amin & Rahnamayan, Shahryar & Vargas Martin, Miguel & Yilbas, Bekir, 2014. "Multi-objective thermal analysis of a thermoelectric device: Influence of geometric features on device characteristics," Energy, Elsevier, vol. 77(C), pages 305-317.
    11. Martínez, A. & Astrain, D. & Rodríguez, A., 2013. "Dynamic model for simulation of thermoelectric self cooling applications," Energy, Elsevier, vol. 55(C), pages 1114-1126.
    12. He, Wei & Wang, Shixue & Zhang, Xing & Li, Yanzhe & Lu, Chi, 2015. "Optimization design method of thermoelectric generator based on exhaust gas parameters for recovery of engine waste heat," Energy, Elsevier, vol. 91(C), pages 1-9.
    13. Pereira, A. & Caroff, T. & Lorin, G. & Baffie, T. & Romanjek, K. & Vesin, S. & Kusiaku, K. & Duchemin, H. & Salvador, V. & Miloud-Ali, N. & Aixala, L. & Simon, J., 2015. "High temperature solar thermoelectric generator – Indoor characterization method and modeling," Energy, Elsevier, vol. 84(C), pages 485-492.
    14. Chen, Min & Gao, Xin, 2014. "Theoretical, experimental and numerical diagnose of critical power point of thermoelectric generators," Energy, Elsevier, vol. 78(C), pages 364-372.
    15. Meng, Fankai & Chen, Lingen & Sun, Fengrui, 2011. "A numerical model and comparative investigation of a thermoelectric generator with multi-irreversibilities," Energy, Elsevier, vol. 36(5), pages 3513-3522.
    16. Ma, Ting & Pandit, Jaideep & Ekkad, Srinath V. & Huxtable, Scott T. & Wang, Qiuwang, 2015. "Simulation of thermoelectric-hydraulic performance of a thermoelectric power generator with longitudinal vortex generators," Energy, Elsevier, vol. 84(C), pages 695-703.
    17. Dai, Dan & Zhou, Yixin & Liu, Jing, 2011. "Liquid metal based thermoelectric generation system for waste heat recovery," Renewable Energy, Elsevier, vol. 36(12), pages 3530-3536.
    18. Yilbas, B.S. & Sahin, A.Z., 2010. "Thermoelectric device and optimum external load parameter and slenderness ratio," Energy, Elsevier, vol. 35(12), pages 5380-5384.
    19. Xiao, Jinsheng & Yang, Tianqi & Li, Peng & Zhai, Pengcheng & Zhang, Qingjie, 2012. "Thermal design and management for performance optimization of solar thermoelectric generator," Applied Energy, Elsevier, vol. 93(C), pages 33-38.
    20. Suter, C. & Jovanovic, Z.R. & Steinfeld, A., 2012. "A 1kWe thermoelectric stack for geothermal power generation – Modeling and geometrical optimization," Applied Energy, Elsevier, vol. 99(C), pages 379-385.
    21. Meng, Fankai & Chen, Lingen & Sun, Fengrui & Yang, Bo, 2014. "Thermoelectric power generation driven by blast furnace slag flushing water," Energy, Elsevier, vol. 66(C), pages 965-972.
    22. Chen, Wei-Hsin & Liao, Chen-Yeh & Hung, Chen-I & Huang, Wei-Lun, 2012. "Experimental study on thermoelectric modules for power generation at various operating conditions," Energy, Elsevier, vol. 45(1), pages 874-881.
    23. Chen, Wei-Hsin & Wang, Chien-Chang & Hung, Chen-I. & Yang, Chang-Chung & Juang, Rei-Cheng, 2014. "Modeling and simulation for the design of thermal-concentrated solar thermoelectric generator," Energy, Elsevier, vol. 64(C), pages 287-297.
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    18. Siddique, Abu Raihan Mohammad & Rabari, Ronil & Mahmud, Shohel & Heyst, Bill Van, 2016. "Thermal energy harvesting from the human body using flexible thermoelectric generator (FTEG) fabricated by a dispenser printing technique," Energy, Elsevier, vol. 115(P1), pages 1081-1091.
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