Nominal power density analysis of thermoelectric pins with non-constant cross sections

Abstract The investigation of the geometric structure of TEG (thermoelectric generator) pins is essential, as their geometry determines the performance of devices. In this study, nominal power density (NPD) is used to find a better geometric structure of thermoelectric pins of TEGs, since a comparison of maximum dimensionless efficiencies for different geometric pins cannot be used to identify the optimum geometry. The influence of shape parameter on NPD for TEG pins in linear, quadratic and exponential cross-sectional functions is studied. The NPD decreases when the shape parameter increases for different geometric pins, while the maximum values of NPD are the same. Then, the effects of dimensionless efficiency and the temperature ratio on the NPD are analyzed. The NPD decreases with the increase in dimensionless efficiency and temperature ratio. Pins with linear variation in cross section have the highest NPD among the three geometries of pins evaluated.

[1]  Bekir Sami Yilbas,et al.  Thermoelectric device and optimum external load parameter and slenderness ratio , 2010 .

[2]  Chin‐Hsiang Cheng,et al.  A three-dimensional numerical modeling of thermoelectric device with consideration of coupling of temperature field and electric potential field , 2012 .

[3]  Osamu Yamashita,et al.  Effect of linear temperature dependence of thermoelectric properties on energy conversion efficiency , 2008 .

[4]  Li Shi,et al.  High fidelity finite difference model for exploring multi-parameter thermoelectric generator design space , 2014 .

[5]  A. H. Boerdijk.  Contribution to a General Theory of Thermocouples , 1959 .

[6]  Shuang-Ying Wu,et al.  Theoretical analysis on the performance of annular thermoelectric couple , 2015 .

[7]  Osamu Yamashita,et al.  Effect of linear and non-linear components in the temperature dependences of thermoelectric properties on the energy conversion efficiency , 2009 .

[8]  J. A. Brandt.  Solutions to the differential equations describing the temperature distribution, thermal efficiency, and power output of a thermoelectric element with variable properties and cross sectional area , 1962 .

[9]  Elena Daniela Lavric,et al.  Sensitivity Analysis of Thermoelectric Module Performance with Respect to Geometry , 2010 .

[10]  Qi Wang,et al.  A review of thermoelectrics research – Recent developments and potentials for sustainable and renewable energy applications , 2014 .

[11]  V. Semenyuk.  Efficiency of cooling thermoelectric elements of arbitrary shape , 1977 .

[12]  Kim Choon Ng,et al.  Optimization of two-stage thermoelectric coolers with two design configurations , 2002 .

[13]  Bekir Sami Yilbas,et al.  The thermoelement as thermoelectric power generator: Effect of leg geometry on the efficiency and power generation , 2013 .

[14]  Bekir Sami Yilbas,et al.  Thermodynamic analysis of a thermoelectric power generator in relation to geometric configuration device pins , 2014 .

[15]  Wei Hsin Chen,et al.  Geometric effect on cooling power and performance of an integrated thermoelectric generation-cooling system. , 2014 .

[16]  Yi-Hsiang Cheng,et al.  Maximizing the cooling capacity and COP of two-stage thermoelectric coolers through genetic algorithm , 2006 .

[17]  Wei-Keng Lin,et al.  Geometric optimization of thermoelectric coolers in a confined volume using genetic algorithms , 2005 .

[18]  Xinxin Zhang,et al.  Multi-objective and multi-parameter optimization of a thermoelectric generator module , 2014 .