Rendimiento de dispositivos termoeléctricos utilizando el método de perturbación y el método de parámetros promedio

Fernando Mesa; Germán Correa Velez; José Barba-Ortega

doi:10.24054/rcta.v3iEspecial.858

Authors

Fernando Mesa Universidad Tecnológica de Pereira
Germán Correa Velez Universidad Tecnológica de Pereira
José Barba-Ortega Universidad Nacional de Colombia

DOI:

https://doi.org/10.24054/rcta.v3iEspecial.858

Keywords:

Thermoelectric generators, Thermoelectric coolers, Heat conduction equation, Disturbance method, Heat balance equations

Abstract

A nonlinear differential heat conduction equation for a leg of a thermocouple with thermoelectric properties that depends on temperature can be reduced to an integral equation. Its solution is obtained by means of the perturbation method in the form of series in which its terms are powers of parameters proportional to the Thomson and Joule heat. First we find the first six coefficients of the series together with the heat balance equations, that is, the dependence of the heat fluxes at the intersections of their temperatures and the electric current. The results of the calculation of the main energy characteristics of thermoelectric devices (thermoelectric generators and thermoelectric coolers) are compared by different methods: exact solution, solution to constant thermoelectric properties taken at an average temperature of hot and cold junctions, average parameter method (thermoelectric material properties averaged over the relevant temperature range by integration). Acceptable accuracy in real-world applications (error less than 1%) is obtained for thermoelectric generators using the average parameter method and for thermoelectric coolers, using the disturbance method.

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