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

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.

SUBMITTER: Seifert W 

PROVIDER: S-EPMC5448920 | biostudies-other | 2012 Mar

REPOSITORIES: biostudies-other