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Effect of linear and non-linear components in the temperature dependences of thermoelectric properties on the cooling performance

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  • Yamashita, Osamu

Abstract

The relative cooling of performance of [phi]/[phi]0 for a thermoelectric (TE) element was derived analytically by taking the linear and non-linear components in the temperature (Tz) dependences of TE properties into the thermal rate equations (TRE) on the assumption that all of the TE properties are expressed by a quadratic function of Tz at a position z along a TE element and the temperature profile along a TE element is linear or non-linear, where [phi] and [phi]0 are the coefficients of performance (COP) derived from the new and conventional TRE, respectively. The linear and non-linear components in the Tz-dependences of TE properties were estimated experimentally for Bi-Te alloys. When a TE element has a linear temperature profile, [phi]/[phi]0 estimated using the linear and/or non-linear components in the Tz-dependences of their TE properties increases with an increase of [Delta]T and reached great values of 1.3-1.6 at ZT=1 under the condition of and . As a result, it was found that the linear component in the electrical resistivity [rho] and the non-linear one in the Seebeck coefficient [alpha] have a significant effect on [phi]/[phi]0. When [phi]/[phi]0 was estimated for a non-linear temperature profile of a module fabricated using these Bi-Te alloys, however, it was slightly lower than that obtained for a linear temperature profile. The formulas obtained for [phi] and [phi]/[phi]0 are applicable even for the practical TE coolers and refrigerators with a strong non-linearity in the temperature profile.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:appene:v:86:y:2009:i:9:p:1746-1756
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    References listed on IDEAS

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    1. Yamashita, Osamu, 2008. "Effect of temperature dependence of electrical resistivity on the cooling performance of a single thermoelectric element," Applied Energy, Elsevier, vol. 85(10), pages 1002-1014, October.
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    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. Mackey, J. & Sehirlioglu, A. & Dynys, F., 2014. "Analytic thermoelectric couple optimization introducing Device Design Factor and Fin Factor," Applied Energy, Elsevier, vol. 134(C), pages 374-381.
    3. Enescu, Diana & Virjoghe, Elena Otilia, 2014. "A review on thermoelectric cooling parameters and performance," Renewable and Sustainable Energy Reviews, Elsevier, vol. 38(C), pages 903-916.
    4. Cheng, Chin-Hsiang & Huang, Shu-Yu, 2012. "Development of a non-uniform-current model for predicting transient thermal behavior of thermoelectric coolers," Applied Energy, Elsevier, vol. 100(C), pages 326-335.
    5. Ponnusamy, P. & de Boor, J. & Müller, E., 2020. "Using the constant properties model for accurate performance estimation of thermoelectric generator elements," Applied Energy, Elsevier, vol. 262(C).
    6. Lee, Heonjoong & Sharp, Jeff & Stokes, David & Pearson, Matthew & Priya, Shashank, 2018. "Modeling and analysis of the effect of thermal losses on thermoelectric generator performance using effective properties," Applied Energy, Elsevier, vol. 211(C), pages 987-996.
    7. 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.
    8. Liang, Gaowei & Zhou, Jiemin & Huang, Xuezhang, 2011. "Analytical model of parallel thermoelectric generator," Applied Energy, Elsevier, vol. 88(12), pages 5193-5199.
    9. 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.
    10. 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).
    11. Oliveira, Klaudio S.M. & Cardoso, Rodrigo P. & Hermes, Christian J.L., 2014. "Numerical assessment of the thermodynamic performance of thermoelectric cells via two-dimensional modelling," Applied Energy, Elsevier, vol. 130(C), pages 280-288.

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