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1D modelling of thermogenerator elements with linear material profiles

Zabrocki, Knud und Müller, Eckhard und Seifert, Wolfgang (2009) 1D modelling of thermogenerator elements with linear material profiles. 28th International / 7th European Conference on Thermoelectrics, 26.-30. Juli 2009, Freiburg.

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Kurzfassung

Graded and segmented thermoelectric elements have been studied for a long time with the aim of improving the performance of thermogenerators that are exposed to a large temperature difference. However, it has been shown that simply adjusting maximum figure of merit Z T in each segment of a stacked or graded thermoelectric (TE) element is not a sufficient rule to maximize thermoelectric device performance. Global optimization of a performance parameter is commonly based on a one-dimensional continua-theoretical model. Following the proposal by Müller et al., the temperature profile T(x) can be calculated within a model-free setup directly from the 1D thermal energy balance e. g. based on continuous monotonous gradient functions for all material profiles, and independent and free variability of the material parameters S(x), sigma(x) and kappa(x) is assumed primarily, where S is the Seebeck coefficient, sigma and kappa are the electrical and thermal conductivities, respectively. Thus the optimum current density can be determined from the maximum of the global performance parameter. This has been done up to now by means of numerical procedures as a 1D thermoelectric finite element method code (1D TE FEM) or the algorithm of multi-segmented elements. Here, an analytical solution of the 1D thermal energy balance has been found for constant gradients based on Bessel functions. For a constant electric conductivity but linear profiles S(x) and kappa(x), the authors present first results for the electrical power output of a thermogenerator.

Dokumentart:Konferenzbeitrag (Vortrag)
Titel:1D modelling of thermogenerator elements with linear material profiles
Autoren:
AutorenInstitution oder E-Mail-Adresse der Autoren
Zabrocki, KnudInstitute of Physics, Martin Luther University Halle-Wittenberg, Germany
Müller, EckhardGerman Aerospace Center, Institute of Materials Research, Köln, Germany
Seifert, WolfgangInstitute of Physics, Martin Luther University Halle-Wittenberg, Germany
Datum:27 Juli 2009
Status:akzeptierter Beitrag
Stichwörter:modelling thermoelectric elements - performance - thermogenerator - functionally graded materials - spatial dependent material properties
Veranstaltungstitel:28th International / 7th European Conference on Thermoelectrics
Veranstaltungsort:Freiburg
Veranstaltungsart:internationale Konferenz
Veranstaltungsdatum:26.-30. Juli 2009
Veranstalter :International Thermoelectric Society (ITS) organized by Fraunhofer IPM Freiburg
HGF - Forschungsbereich:Verkehr und Weltraum (alt)
HGF - Programm:Verkehr
HGF - Programmthema:Bodengebundener Verkehr
DLR - Schwerpunkt:Verkehr
DLR - Forschungsgebiet:V BF - Bodengebundene Fahrzeuge
DLR - Teilgebiet (Projekt, Vorhaben):V - Fahrzeugenergiesysteme (alt)
Standort: Köln-Porz
Institute & Einrichtungen:Institut für Werkstoff-Forschung > Thermoelektrische Materialien und Systeme
Hinterlegt von: Dr. Knud Zabrocki
Hinterlegt am:25 Nov 2009 14:14
Letzte Änderung:25 Nov 2009 14:14

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