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Simplified calculation model for the effect of nonlinear temperature dependence of thermoelectric properties on the conversion efficiency

Author

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  • Sui, Xiaomei
  • Zhang, Zhe
  • Zhang, Yuqi
  • Xu, Daochun
  • Li, Wenbin

Abstract

Thermoelectric (TE) materials play an important role in energy production and utilization, but the temperature dependence of material properties makes theoretical analysis challenging. In this work, the TE differential equation is solved by introducing the volume average of TE material parameters, and a simplified TE element model is established for a TE element with a linear temperature profile. The temperature dependence of the Seebeck coefficient, electrical resistivity and thermal conductivity are incorporated into the thermal conductivity equation, and the TE conversion efficiency is solved. This proposed model is applied to a high-performance N-type half-Heusler alloy, and the obtained maximum conversion efficiency agrees well with the numerical results (with relative error 1.36%) for an average temperature Tm = 510 K and temperature difference ΔT = 440 K. The results confirm that the proposed model, which incorporates the Thomson effect, is simple and accurate, providing valuable guidance for optimal performance design of TE devices.

Suggested Citation

  • Sui, Xiaomei & Zhang, Zhe & Zhang, Yuqi & Xu, Daochun & Li, Wenbin, 2021. "Simplified calculation model for the effect of nonlinear temperature dependence of thermoelectric properties on the conversion efficiency," Energy, Elsevier, vol. 220(C).
    • Handle: RePEc:eee:energy:v:220:y:2021:i:c:s0360544220328528
    DOI: 10.1016/j.energy.2020.119745
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    References listed on IDEAS

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    1. Pacheco, N. & Brito, F.P. & Vieira, R. & Martins, J. & Barbosa, H. & Goncalves, L.M., 2020. "Compact automotive thermoelectric generator with embedded heat pipes for thermal control," Energy, Elsevier, vol. 197(C).
    2. 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.
    3. Ju, Chengjian & Dui, Guansuo & Zheng, Helen Hao & Xin, Libiao, 2017. "Revisiting the temperature dependence in material properties and performance of thermoelectric materials," Energy, Elsevier, vol. 124(C), pages 249-257.
    4. Yamashita, Osamu, 2009. "Effect of linear and non-linear components in the temperature dependences of thermoelectric properties on the cooling performance," Applied Energy, Elsevier, vol. 86(9), pages 1746-1756, September.
    5. Sornek, Krzysztof & Filipowicz, Mariusz & Żołądek, Maciej & Kot, Radosław & Mikrut, Małgorzata, 2019. "Comparative analysis of selected thermoelectric generators operating with wood-fired stove," Energy, Elsevier, vol. 166(C), pages 1303-1313.
    6. 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.
    7. Sahin, Ahmet Z. & Yilbas, Bekir S., 2013. "Thermodynamic irreversibility and performance characteristics of thermoelectric power generator," Energy, Elsevier, vol. 55(C), pages 899-904.
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