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Effect of temperature dependence of electrical resistivity on the cooling performance of a single thermoelectric element

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  • Yamashita, Osamu

Abstract

The coefficients of performance (COP) [phi]0 and [phi] for a single thermoelectric (TE) element welded with two metal plates were calculated as functions of temperature difference ([Delta]T) and thermoelectric figure of merit (ZT) from the conventional thermal rate equations and the new thermal rate ones proposed here, respectively. We made an attempt to take the differences in the Seebeck coefficient [alpha], electrical resistivity [rho] and thermal conductivity [kappa] of TE materials at the hot and cold sides of a TE element into the thermal rate equations on the assumption that their TE properties change linearly with temperature. However, the difference in [kappa] was neglected even in the new thermal rate equations because its temperature dependence was too small when [phi] was applied to the high-performance Bi-Te alloys. The normalized temperature dependences at 300 K of [alpha] and [rho] were denoted by A and B, respectively. The term of A in the thermal rate equations was canceled out by the Thomson coefficient, but that of B remained. When B > 0 K-1, [phi]/[phi]0 is enhanced more significantly with an increase of B at larger [Delta]T and lower ZT, and it reached about 1.20 at [Delta]T = 80 K for Bi-Te alloys with B [approximate] 5 x 10-3 K-1. It was thus found that the COP of a cooling module is also affected strongly by B as well as ZT.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:appene:v:85:y:2008:i:10:p:1002-1014
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    Citations

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    Cited by:

    1. 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.
    2. Lee, HoSung, 2013. "The Thomson effect and the ideal equation on thermoelectric coolers," Energy, Elsevier, vol. 56(C), pages 61-69.
    3. Kim, Shiho, 2013. "Analysis and modeling of effective temperature differences and electrical parameters of thermoelectric generators," Applied Energy, Elsevier, vol. 102(C), pages 1458-1463.
    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. 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.
    6. 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.
    7. Wang, Tongcai & Luan, Weiling & Wang, Wei & Tu, Shan-Tung, 2014. "Waste heat recovery through plate heat exchanger based thermoelectric generator system," Applied Energy, Elsevier, vol. 136(C), pages 860-865.

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