Exact Solution of a Constraint Optimization Problem for the Thermoelectric Figure of Merit |
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Authors: | Wolfgang Seifert Volker Pluschke |
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Affiliation: | 1.Institute of Physics, University Halle-Wittenberg, Halle D-06099, Germany;2.Institute of Mathematics, University Halle-Wittenberg, Halle D-06099, Germany |
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Abstract: | In the classical theory of thermoelectricity, the performance integrals for a fully self-compatible material depend on the dimensionless figure of merit zT. Usually these integrals are evaluated for constraints z = const. and zT = const., respectively. In this paper we discuss the question from a mathematical point of view whether there is an optimal temperature characteristics of the figure of merit. We solve this isoperimetric variational problem for the best envelope of a family of curves z(T)T. |
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Keywords: | thermoelectricity functionally graded material figure of merit device optimization |
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