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

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

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 ma...

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Main Authors: Wolfgang Seifert, Volker Pluschke
Format: Article
Language:English
Published: MDPI AG 2012-03-01
Series:Materials
Subjects:
thermoelectricity
functionally graded material
figure of merit
device optimization
Online Access:http://www.mdpi.com/1996-1944/5/3/528/
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spelling doaj-0db79f807db949d8bd7a4010b420d44f2020-11-24T23:30:46ZengMDPI AGMaterials1996-19442012-03-015352853910.3390/ma5030528Exact Solution of a Constraint Optimization Problem for the Thermoelectric Figure of MeritWolfgang SeifertVolker PluschkeIn 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.http://www.mdpi.com/1996-1944/5/3/528/thermoelectricityfunctionally graded materialfigure of meritdevice optimization
collection DOAJ
language English
format Article
sources DOAJ
author Wolfgang Seifert
Volker Pluschke
spellingShingle Wolfgang Seifert
Volker Pluschke
Exact Solution of a Constraint Optimization Problem for the Thermoelectric Figure of Merit
Materials
thermoelectricity
functionally graded material
figure of merit
device optimization
author_facet Wolfgang Seifert
Volker Pluschke
author_sort Wolfgang Seifert
title Exact Solution of a Constraint Optimization Problem for the Thermoelectric Figure of Merit
title_short Exact Solution of a Constraint Optimization Problem for the Thermoelectric Figure of Merit
title_full Exact Solution of a Constraint Optimization Problem for the Thermoelectric Figure of Merit
title_fullStr Exact Solution of a Constraint Optimization Problem for the Thermoelectric Figure of Merit
title_full_unstemmed Exact Solution of a Constraint Optimization Problem for the Thermoelectric Figure of Merit
title_sort exact solution of a constraint optimization problem for the thermoelectric figure of merit
publisher MDPI AG
series Materials
issn 1996-1944
publishDate 2012-03-01
description 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.
topic thermoelectricity
functionally graded material
figure of merit
device optimization
url http://www.mdpi.com/1996-1944/5/3/528/
work_keys_str_mv AT wolfgangseifert exactsolutionofaconstraintoptimizationproblemforthethermoelectricfigureofmerit
AT volkerpluschke exactsolutionofaconstraintoptimizationproblemforthethermoelectricfigureofmerit
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