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Application of Transmission Line Theory for Modeling of a Thermoelectric Module in Multiple Configurations for AC Electrical Measurements

Published online by Cambridge University Press:  01 February 2011

Adam Darwin Downey
Affiliation:
downeyad@egr.msu.edu, Michigan State University, Electrical and Computer Engineering, Michigan State University, East Lansing, MI, 48824, United States, 517-432-1965
Edward Timm
Affiliation:
timm@egr.msu.edu, Michigan State University, Department of Mechanical Engineering, United States
Pierre F. P. Poudeu
Affiliation:
fpoudeu@chemistry.msu.edu, Michigan State University, Department of Chemistry and Center for Fundamental Materials Research, United States
Mercouri G. Kanatzidis
Affiliation:
kanatzidis@chemistry.msu.edu, Michigan State University, Department of Chemistry and Center for Fundamental Materials Research, United States
Harold Shock
Affiliation:
schock@egr.msu.edu, Michigan State University, Department of Mechanical Engineering, United States
Timothy P. Hogan
Affiliation:
hogant@msu.edu, Michigan State University, Department of Electrical and Computer Engineering, United States
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Abstract

Measurements of assembled thermoelectric modules commonly include investigations of the module output power versus load resistance. Such measurements include non-ideal effects such as electrical and thermal contact resistances. Using an AC electrical measurement, two models for a thermoelectric module have been developed utilizing electrical circuits for both the thermal and electrical characteristics of the module.

Measurements were taken over the frequency range of 1mHz to 500Hz using lock-in amplifiers. We present data showing the extraction of ZT from such measurements on commercially available modules utilizing both the magnitude and phase of the measured impedance. Here we extend upon a simple RC equivalent circuit model by utilizing transmission line theory in electrical circuits to explain the thermal activity in a thermoelectric module. This model includes all components of a module such as nickel traces and ceramic end caps, and makes use of their corresponding thermal conductivities, thermal capacitance, and density. This model can then be applied to pn unicouples in either a standard or inline configuration, and to individual p or n legs of the module. Data is presented showing the advantages of both models. Measurements on new thermoelectric materials and modules are also presented.

Type
Research Article
Copyright
Copyright © Materials Research Society 2006

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References

REFERENCES

1. Iwasaki, , Hideo, , “Evaluation of the Figure of Merit on Thermoelectric Materials by Harman Method,” J. Appl. Phys. Vol. 41, pp. 66066609, 2002.Google Scholar
2. Downey, , Adam, et al. , “Circuit model of a thermoelectric module for AC electrical measurements,” 24th International Conference on Thermoelectronics Proceedings, 2005.Google Scholar
3. Dilhaire, , Stefan, et al. , “Determination of ZT of PN thermoelectric couples by AC electrical measurement,” 21st International Conference on Thermoelectronics Proceedings, 2002.Google Scholar
4. Maillet, , Dennis, , Thermal Quadrupoles: Solving the Heat Equation through Integral Transforms, Wiley, November 2000.Google Scholar