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One-dimensional Modeling of a Peltier Element

W. Seifert
Organization: Martin-Luther-Universitat Halle-Wittenberg
Department: Dept. of Theoretical Physics
M. Ueltzen
Organization: Martin-Luther-Universitat Halle-Wittenberg
Department: Dept. of Applied Physics
C. Strumpel
Organization: Martin-Luther-Universitat Halle-Wittenberg
Department: Dept. of Applied Physics
E. Mueller
Organization: Institut für Werkstoff-Forschung
Department: German Aerospace Center (DLR) Cologne
Journal / Anthology

Proceedings ICT2001. 20 International Conference on Thermoelectrics
Year: 2001
Volume: 20
Page range: 439-43

For dimensioning and control of Peltier coolers an accurate modeling of cooling performance under various conditions is required. Bismuth telluride as most common material for Peltier coolers is discussed, assuming constant values of the material parameters in comparison to a real experimental temperature dependence.

For constant pellet cross section, the problem is treated as one-dimensional. The dependence of cooling power and C.O.P. on electric current and temperature difference in a single element is presented in contour plots.

Differential equations describing the thermoelectric transports have been analytically and numerically solved by the software tool Mathematica. Exact temperature profiles along the pellet have been calculated using experimental temperature dependent material properties.

Evidence is provided for very good agreement between T values calculated using real temperature dependent material parameters or constant volume average values assumed as temperature independent (better than 1 K).

*Science > Physics > Thermodynamics and Statistical Mechanics

Peltier Element, Thermoelectric cooling
Related items

*One-dimensional Modeling of Thermoelectric Cooling   [in Articles]
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PeltierCooling.nb (47.1 KB) - Mathematica Notebook [for Mathematica 5.0]
PeltierCooling2.nb (92.3 KB) - Mathematica Notebook