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Maximum performance in self-compatible thermoelectric elements

Published online by Cambridge University Press:  05 August 2011

W. Seifert ,
V. Pluschke ,
C. Goupil ,
K. Zabrocki ,
E. Müller  and
G.J. Snyder
W. Seifert*
Affiliation:
Institute of Physics, University Halle-Wittenberg, D-06099 Halle, Germany
V. Pluschke
Affiliation:
Institute of Mathematics, University Halle-Wittenberg, D-06099 Halle, Germany
C. Goupil
Affiliation:
Laboratoire CRISMAT, UMR 6508, Caen, France
K. Zabrocki
Affiliation:
Institute of Materials Research, German Aerospace Center (DLR), D-51170 Köln, Germany
E. Müller
Affiliation:
Institute of Materials Research, German Aerospace Center (DLR), D-51170 Köln, Germany
G.J. Snyder
Affiliation:
California Institute of Technology, Pasadena, California 91125
*
a)Address all correspondence to this author. e-mail: [email protected]
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Abstract

Within the framework of a new optimization strategy based on self-compatible thermoelectric elements, the ability to reach maximum performance is discussed. For the efficiency of a thermogenerator and the coefficient of performance of a Peltier cooler, the constraint z T = ko = const. turned out to provide a suitable criterion for judging maximum performance. In this paper ko is calculated as an average of the temperature dependent figure of merit z T.

Keywords

thermoelectricity
Type
Articles
Information
Journal of Materials Research , Volume 26 , Issue 15: Focus Issue: Advances in Thermoelectric Materials , 14 August 2011 , pp. 1933 - 1939
Copyright
Copyright © Materials Research Society 2011

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References

REFERENCES

1.Snyder, G.J. and Ursell, T.S.: Thermoelectric efficiency and compatibility. Phys. Rev. Lett. 91, 148301 (2003).CrossRefGoogle ScholarPubMed
2.Ursell, T.S. and Snyder:, G.J. Compatibility of segmented thermoelectric generators. In Proceedings of the Twenty-First International Conference on Thermoelectrics, Long Beach, CA (IEEE, Piscataway, NJ) pp. 412–417.Google Scholar
3.Snyder, G.J.: Thermoelectric power generation: Efficiency and compatibility. In CRC Handbook of Thermoelectrics: Macro to Nano; Rowe, D.M., ed. (Taylor & Francis, Boca Raton, FL, 2006), chap. 9.Google Scholar
4.Seifert, W., Müller, E., and Walczak, S.: Generalized analytic descrip-tion of one dimensional non-homogeneous TE cooler and generator elements based on the compatibility approach. In Proceedings of the Twenty-Fifth International Conference on Thermoelectrics; Rogl, P., ed. (IEEE, Piscataway, NJ, 2006), pp. 714–719.Google Scholar
5.Seifert, W., Zabrocki, K., Snyder, G.J., and Müller, E.: The compatibility approach in the classical theory of thermoelectricity seen from the perspective of variational calculus. Phys. Status Solidi A 207, 760–765 (2010).CrossRefGoogle Scholar
6.Seifert, W., Müller, E., and Walczak, S.: Local optimization strategy based on first principle of thermoelectrics. Phys. Status Solidi A 205, 2908–2918 (2008).CrossRefGoogle Scholar
7.Harman, T.C. and Honig, J.M.: Thermoelectric and Thermomagnetic Effects and Applications (McGraw–Hill, New York, 1967).Google Scholar
8.Ioffe, A.F.: Semiconductor Thermoelements and Thermoelectric Cooling (Infosearch, Ltd., London, 1957).Google Scholar
9.Sherman, B., Heikes, R.R., and Ure, R.W. Jr.: Calculation of efficiency of thermoelectric devices. J. Appl. Phys. 31, 1–16 (1960).CrossRefGoogle Scholar
10.Snyder, G.J.: Design and optimization of compatible, segmented thermoelectric generators. In proceedings of the Twenty-Second International Conference on Thermoelectrics—ICT La Grande-Motte, France 2003 (IEEE, Piscataway, NJ, 2003), pp. 443–446.Google Scholar
11.Snyder, G.J.: Application of the compatibility factor to the design of segmented and cascaded thermoelectric generators. Appl. Phys. Lett. 84, 2436–2438 (2004).CrossRefGoogle Scholar
12.Müller, E., Zabrocki, K., Goupil, C., Snyder, G.J., and Seifert, W.: Functionally graded thermoelectric generator and cooler elements. In CRC Handbook of Thermoelectrics: Thermoelectrics and Its Energy Harvesting; Rowe, D.M., ed. (CRC, Boca Raton, FL, Feb. 2012).Google Scholar
13.Bian, Z., Wang, H., Zhou, Q., and Shakouri, A.: Maximum cooling temperature and uniform efficiency criterion for inhomogeneous thermoelectric materials. Phys. Rev. B: Condens. Matter Mater. Phys. 75, 245208 (2007).Google Scholar
14.Goupil, C., Seifert, W., Zabrocki, K., Müller, E., and Snyder, G.J.: Thermodynamics of thermoelectric phenomena and applications. Entropy (Accepted 2011).CrossRefGoogle Scholar
15.Steele, J.M.: The Chauchy–Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities (Cambridge University Press, Cambridge, 2004).CrossRefGoogle Scholar
16.Mitrinovic, D.S., Pecaric, J.E., and Fin, A.M.: Classic and New Inequalities in Analysis. (Kluwer Academic, Dordrecht, 1993).Google Scholar