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

نویسندگان

  • Wolfgang Seifert
  • Volker Pluschke
چکیده

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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عنوان ژورنال:

دوره 5  شماره 

صفحات  -

تاریخ انتشار 2012