Forced Response of Thermoelectric Materials and Devices

Authors

Keywords:

Figure of merit, thermoelectric angular frequency, thermoelectric characterization, thermoelectric time constant

Abstract

The theory of the forced response of electric circuits applied to the study of the thermoelectricity here described allows the characterization of thermoelectric devices and materials determining the resistance of the thermal contacts, and the thermoelectric resistance. The successive computer analysis yields values for the Seebeck coefficient, electrical resistance, thermal conductance, and the figure of merit. The forced response of the thermoelectric materials and devices satisfies the Luttinger’s thermal transport coefficients theory, and the first-order electric circuits’s behavior. Also, permits to find the thermoelectric time constant, and predicting the thermoelectric angular frequency which is necessary to determinate the complex impedance graphically through the Nyquist plot, due to that the thermoelectric time constant is inversely proportional to the thermoelectric angular frequency, as well as it makes accessible the prediction of the impedance spectroscopy measurements beyond the restrictive case of adiabatic boundary conditions regularly difficult to achieve experimentally, and therefore the characterization in situ. Like Harman’s method, these parameters can be measured simultaneously on the same device or sample, and no requires neither reference nor standard material for comparison.

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Author Biographies

Mr. Ronald Pirela , IEEE Membership

Pirela R. (Author),  es graduado en Ingeniería Electrónica en UNEXPO en 2007, Especialización en Telecomunicaciones Digitales en UNEXPO en 2013, Maestría en Ingeniería Electrónica en UNEXPO en 2020. Y se convirtió en miembro (M) del IEEE en 2021, (M’21, M’22). Fué preparador adscrito tanto al Departamento de Física como al Departamento de Ingeniería Electrónica y ahora es Doctorante del Programa de Doctorado en Ciencias de la Ingeniería, Departamento de Investigación y Postgrado, Universidad Nacional Experimental Politécnica “Antonio José de Sucre” (UNEXPO), Vicerrectorado Puerto Ordaz, Estado Bolívar, Venezuela. Actualmente es el Ingeniero del Laboratorio de Trenes a Hidrogeno, Proyecto Coradia, Alstom Ferroviaria S.p.A., Savigliano, CN 12038, Italia. (e-mail: repirelalc@estudiante.unexpo.edu.ve). ORCID: 0000-0002-1411-6333.

Mr. Sergio Velásquez

Velásquez S. (Coautor), es graduado en Ingeniería Electrónica en UNEXPO en 2008, Maestría en Educación en el UPEL en 2011, Maestría en Ingeniería Electrónica en UNEXPO en 2012, Doctor en Educación 2015, Doctor en Ciencias de la Ingeniería en la UNEXPO en 2019. En la actualidad, él es Profesor Adscrito al Departamento de Investigación y Postgrado de la UNEXPO y el Coordinador del Centro de Investigación de las Redes Neuronales Artificiales y La Robótica, Profesor Investigador B, avalado por el MINCYT. ORCID: 0000-0002-3516-4430

References

T. J. Seebeck, "Magnetic polarization of metals and minerals," Abhandlungender Deutschen Akademie der Wissenschafren zu Berlin, vol. 265, 1822-1823.

J. C. Peltier, "Nouvelles experiences sur la caloricite des courans electrique," Annales de Chimie et de Physique, vol. LVI, p. 371–386, 1834.

S. Lineykin and S. Ben-Yaakov, "Modeling and analysis of thermoelectric modules," IEEE Transactions on Industry Applications, vol. 43, no. 2, pp. 505-512, 2007.

D. M. Rowe, CRC Handbook of Thermoelectrics, Boca Raton: Taylor & Francis, 1995, pp. 192-212.

Z. Ren, Y. Lan and Q. Zhang, Advanced Thermoelectrics Materials, Contacts, Devices, and Systems, Boca Raton: Taylor & Francis Group, LLC, 2018.

N. M. Ravindra, B. Jariwala, A. Bañobre and A. Maske, Thermoelectrics Fundamentals, Materials Selection, Properties, and Performance, Cham: Springer Nature, 2019.

C. Goupil, Continuum Theory and Modelling of Thermoelectric Elements, Weinheim: Wiley-VCH Verlag GmbH & Co, 2016.

V. Zlatic and R. Monnie, Modern Theory of Thermoelectricity, New York: Oxford University Press, 2014.

S. K. Yee, S. LeBlanc, K. E. Goodson and C. Dames, "$ per W metrics for thermoelectric power generation: beyond ZT," Energy & Environmental Science, vol. 6, no. 9, pp. 2561-2571, 2013.

S. LeBlanc, S. K. Yee, M. L. Scullin, C. Dames and K. E. Goodson, "Material and manufacturing cost considerations for thermoelectrics," Renewable and Sustainable Energy Reviews, vol. 32, pp. 313-327, 2014.

A. F. Ioffe, Physics of Semiconductors, London: Infosearch, 1960.

D. Champier, "Thermoelectric generators: A review of applications," Energy Conversion and Management, vol. 140, pp. 167-181, 2017.

T. M. Tritt, "Measurement and Characterization Techniques for Thermoelectric Materials," MRS Online Proceedings Library (OPL), vol. 478, 1997.

Z. Zhou and C. Uher, "Apparatus for Seebeck coefficient and electrical resistivity measurements of bulk thermoelectric materials at high temperature," Review of scientific instruments, vol. 76, no. 2, p. 023901, 2005.

H. Wang, S. Bai, L. Chen, A. Cuenat, G. Joshi, H. Kleinke, J. König, H. W. Lee, J. Martin, M. W. Oh and W. D. Poter, "International round-robin study of the thermoelectric transport properties of an n-Type half-heusler compound from 300 K to 773 K," Journal of Electronic Materials, vol. 44, no. 11, pp. 4482-4491, 2015.

P. Ziolkowski, C. Stiewe, J. De Boor, I. Druschke, K. Zabrocki, F. Edler, S. Haupt, J. König and E. Mueller, "Iron Disilicide as High-Temperature Reference Material for Traceable Measurements of Seebeck Coefficient Between 300 K and 800 K," Journal of Electronic Materials, vol. 46, no. 1, pp. 51-63, 2017.

Y. Apertet and H. Ouerdane, "Small-signal model for frequency analysis of thermoelectric systems," Energy Conversion and Management, vol. 149, pp. 564-569, 2017.

T. C. Harman, J. H. Cahn and M. J. Logan, "Measurement of thermal conductivity by utilization of the Peltier effect," Journal of Applied Physics, vol. 30, no. 9, pp. 1351-1359, 1959.

H. J. Goldsmid, Electronic Refrigeration, London: Pion, 1986.

H. Iwasaki, M. Koyano and H. Hori, "Evaluation of the figure of merit on thermoelectric materials by Harman method," Japanese journal of applied physics, vol. 41, no. 11R, p. 6606, 2002.

A. Satake, H. Tanaka, T. Ohkawa, T. Fujii and I. Terasaki, "Thermal conductivity of the thermoelectric layered cobalt oxides measured by the Harman method," Journal of applied physics, vol. 96, no. 1, pp. 931-933, 2004.

R. Venkatasubramanian, E. Siivola, T. Colpitts and B. O'quinn, "Thin-film thermoelectric devices with high room-temperature figures of merit.," Nature, vol. 413, no. 6856, pp. 597-602, 2001.

H. Iwasaki and H. Hori, 24th International Conference on Thermoelectrics, 2005. - Thermoelectric property measurements by the improved Harman method, Clemson, USA: IEEE ICT 2005, 2005, p. 513–516.

O. Philips’Gloeilampenfabrieken, "A method of measuring specific resistivity and Hall effect of discs of arbitrary shape," Philips Res. Rep, vol. 13, no. 1, pp. 1-9, 1958.

J. Cape and G. W. Lehman, "Temperature and finite pulse‐time effects in the flash method for measuring thermal diffusivity," Journal of applied physics, vol. 34, no. 7, pp. 1909-1913, 1963.

G. Min and D. M. Rowe, "A novel principle allowing rapid and accurate measurement of a dimensionless thermoelectric figure of merit," Measurement Science and Technology, vol. 12, no. 8, p. 1261, 2001.

A. Muto, D. Kraemer, Q. Hao, Z. F. Ren and G. Chen, "Thermoelectric properties and efficiency measurements under large temperature differences," Review of Scientific Instruments, vol. 80, no. 9, p. 093901, 2009.

J. García-Cañadas and G. Min, "Low frequency impedance spectroscopy analysis of thermoelectric modules," Journal of electronic materials, vol. 43, no. 6, pp. 2411-2414, 2014.

J. García-Cañadas and G. Min, "Impedance spectroscopy models for the complete characterization of thermoelectric materials," Journal of Applied Physics, vol. 116, no. 17, p. 174510, 2014.

J. García-Cañadas and G. Min, "Thermal dynamics of thermoelectric phenomena from frequency resolved methods," AIP Advances, vol. 6, no. 3, p. 035008, 2016.

A. D. Downey, T. P. Hogan and B. Cook, "Characterization of thermoelectric elements and devices by impedance spectroscopy," Review of Scientific Instruments, vol. 78, no. 9, p. 093904, 2007.

Y. Apertet and H. Ouerdane, "Small-signal model for frequency analysis of thermoelectric systems," Energy Conversion and Management, vol. 149, pp. 564-569, 2017.

Y. Apertet, H. Ouerdane, O. Glavatskaya, C. Goupil and P. Lecoeur, "Optimal working conditions for thermoelectric generators with realistic thermal coupling," EPL (Europhysics Letters), vol. 97, no. 2, p. 28001, 2012.

S. Lineykin and S. Ben-Yaakov, "Analysis of thermoelectric coolers by a spice-compatible equivalent-circuit model," IEEE Power Electronics Letters, vol. 3, no. 2, pp. 63-66, 2005.

Kryotherm Co., "Thermoelectric coolers for industrial applications: TB-127-1.4-1.2.," Kryotherm Co., Online. Available: http://www.kryotherm.ru, Saint-Petersburg, Russia, 2021.

C. K. Alexander and M. N. Sadiku, Fundamentals of electric circuits, vol. 4, New York: McGraw-Hill, 2009.

A. De Marchi and V. Giaretto, "An accurate new method to measure the dimensionless figure of merit of thermoelectric devices based on the complex impedance porcupine diagram," Review of Scientific Instruments, vol. 82, no. 10, p. 104904, 2011.

Anonymous, "Scala graduum Caloris. Calorum Descriptiones & signa," Philosophical Transactions, vol. 270, no. 22, p. 824–829, 1701.

S. Maruyama and S. Moriya, "Newton's Law of Cooling: Follow up and exploration," International Journal of Heat and Mass Transfer, vol. 164, p. 120544, 2021.

R. E. Pirela and S. R. Velásquez, "Natural Response of Thermoelectric Materials and Devices," to be published.

R. E. Pirela and S. R. Velásquez, "Novel Empirical Methodology for Characterization Thermoelectric Materials and Devices," to be published.

J. M. Luttinger, "Theory of thermal transport coefficients," Physical Review, vol. 135, no. 6A, p. A1505, 1964.

UNESCO, "UNESCO moving forward the 2030 Agenda for Sustainable Development.," United Nations Educational, Scientific and Cultural Organization, Paris, France, 2017.

Published

2022-05-26

How to Cite

Pirela La Cruz, R. E., & Velásquez Guzmán, S. R. (2022). Forced Response of Thermoelectric Materials and Devices. IEEE Latin America Transactions, 20(8), 2106–2113. Retrieved from https://latamt.ieeer9.org/index.php/transactions/article/view/6498

Issue

Section

Electric Energy