Efficiency of a Sandwiched Thermoelectric Material with a Graded Interlayer and Temperature-Dependent Properties

This paper investigates the energy conversion efficiency for a sandwiched thermoelectric (TE) material with a graded interlayer and temperature-dependent properties. The graded interlayer can be modeled as a composite of the two homogeneous end material members to achieve continuously varying composition and properties, thus eliminating the electrical contact resistance at the interfaces of segmented TE materials. The temperature distribution and efficiency are obtained by a semianalytical recurrence relation and a simple iteration technique. In the numerical examples, we consider a sandwiched TE element consisting of nanostructured Bi 2 Te 3 at the cold-end side, nanostructured PbTe at the hot-end side, and a graded interlayer of Bi 2 Te 3 –PbTe composite. The numerical results show that the peak efficiency of the sandwiched TE material with no contact resistance is higher than that of segmented Bi 2 Te 3 /PbTe with contact resistance at the sharp interface between Bi 2 Te 3 and PbTe. The peak efficiency of the sandwiched material is also influenced by the location of and gradation profile in the graded interlayer. Finally, it is found that temperature dependence of properties decreases the efficiencies of Bi 2 Te 3 and PbTe.