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Materials 2012, 5(3), 528-539; doi:10.3390/ma5030528
Article

Exact Solution of a Constraint Optimization Problem for the Thermoelectric Figure of Merit

1,*  and 2
Received: 13 January 2012; in revised form: 15 March 2012 / Accepted: 19 March 2012 / Published: 21 March 2012
(This article belongs to the Special Issue Advances in Functionally Graded Materials)
Download PDF [158 KB, updated 22 March 2012; original version uploaded 21 March 2012]
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.
Keywords: thermoelectricity; functionally graded material; figure of merit; device optimization thermoelectricity; functionally graded material; figure of merit; device optimization
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Seifert, W.; Pluschke, V. Exact Solution of a Constraint Optimization Problem for the Thermoelectric Figure of Merit. Materials 2012, 5, 528-539.

AMA Style

Seifert W, Pluschke V. Exact Solution of a Constraint Optimization Problem for the Thermoelectric Figure of Merit. Materials. 2012; 5(3):528-539.

Chicago/Turabian Style

Seifert, Wolfgang; Pluschke, Volker. 2012. "Exact Solution of a Constraint Optimization Problem for the Thermoelectric Figure of Merit." Materials 5, no. 3: 528-539.


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