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Mathematical model of a thermoelectric system based on steady- and rapid-state measurements

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  • Buchalik, Ryszard
  • Nowak, Grzegorz
  • Nowak, Iwona

Abstract

The paper presents the development of a complete analytical model of a thermoelectric generator (TEG). Based on data coming from a small number of easily obtainable measurements, the model makes it possible to determine basic parameters of the TEG. Owing to measurements performed in the steady state and immediately after a rapid change of the TEG electrical state, the following quantities can be established analytically: the Seebeck coefficient, thermal conductivity and thermal resistance between heat exchangers and the TEG. The applied rapid method is based on the large difference in inertia between the electric and the thermal field. A rapid change from the short-circuit to the open-circuit electrical state makes it possible to record the voltage for the system thermal state corresponding to the short circuit. Experimental tests were carried out on a commercially available thermoelectric generator and the results proved the developed model usefulness. The simulation results show that the thermal resistance of the contact layers between the heat exchangers and the thermoelectric generators caused a loss of the temperature difference of the junctions from 30% at the recommended mechanical load to even over 50% if the clamping force was too low. Due to that, the determined power ratio, being an indicator of the utilization of the theoretical power capacity of a system burdened with thermal resistance, reaches values lower than 40% for the required clamping force and is below 20% for improper contact conditions The impact of the accuracy of the measurements on the values of the system parameters obtained from the model is evaluated by means of sensitivity analysis.

Suggested Citation

  • Buchalik, Ryszard & Nowak, Grzegorz & Nowak, Iwona, 2021. "Mathematical model of a thermoelectric system based on steady- and rapid-state measurements," Applied Energy, Elsevier, vol. 293(C).
    • Handle: RePEc:eee:appene:v:293:y:2021:i:c:s0306261921004219
    DOI: 10.1016/j.apenergy.2021.116943
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    References listed on IDEAS

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    1. Zaher, M.H. & Abdelsalam, M.Y. & Cotton, J.S., 2020. "Study of the effects of axial conduction on the performance of thermoelectric generators integrated in a heat exchanger for waste heat recovery applications," Applied Energy, Elsevier, vol. 261(C).
    2. Compadre Torrecilla, Marcos & Montecucco, Andrea & Siviter, Jonathan & Knox, Andrew R. & Strain, Andrew, 2019. "Novel model and maximum power tracking algorithm for thermoelectric generators operated under constant heat flux," Applied Energy, Elsevier, vol. 256(C).
    3. Wang, Yiping & Li, Shuai & Xie, Xu & Deng, Yadong & Liu, Xun & Su, Chuqi, 2018. "Performance evaluation of an automotive thermoelectric generator with inserted fins or dimpled-surface hot heat exchanger," Applied Energy, Elsevier, vol. 218(C), pages 391-401.
    4. Saim Memon & Khawaja Noman Tahir, 2018. "Experimental and Analytical Simulation Analyses on the Electrical Performance of Thermoelectric Generator Modules for Direct and Concentrated Quartz-Halogen Heat Harvesting," Energies, MDPI, vol. 11(12), pages 1-17, November.
    5. Luo, Ding & Wang, Ruochen & Yu, Wei & Zhou, Weiqi, 2019. "Performance evaluation of a novel thermoelectric module with BiSbTeSe-based material," Applied Energy, Elsevier, vol. 238(C), pages 1299-1311.
    6. Darkwa, J. & Calautit, J. & Du, D. & Kokogianakis, G., 2019. "A numerical and experimental analysis of an integrated TEG-PCM power enhancement system for photovoltaic cells," Applied Energy, Elsevier, vol. 248(C), pages 688-701.
    7. Kim, Shiho, 2013. "Analysis and modeling of effective temperature differences and electrical parameters of thermoelectric generators," Applied Energy, Elsevier, vol. 102(C), pages 1458-1463.
    8. Brutschin, Elina & Fleig, Andreas, 2016. "Innovation in the energy sector – The role of fossil fuels and developing economies," Energy Policy, Elsevier, vol. 97(C), pages 27-38.
    9. Chen, Wei-Hsin & Liao, Chen-Yeh & Hung, Chen-I & Huang, Wei-Lun, 2012. "Experimental study on thermoelectric modules for power generation at various operating conditions," Energy, Elsevier, vol. 45(1), pages 874-881.
    10. Wang, Ruochen & Yu, Wei & Meng, Xiangpeng, 2018. "Performance investigation and energy optimization of a thermoelectric generator for a mild hybrid vehicle," Energy, Elsevier, vol. 162(C), pages 1016-1028.
    11. Lee, Heonjoong & Sharp, Jeff & Stokes, David & Pearson, Matthew & Priya, Shashank, 2018. "Modeling and analysis of the effect of thermal losses on thermoelectric generator performance using effective properties," Applied Energy, Elsevier, vol. 211(C), pages 987-996.
    12. Hansen, Kenneth & Breyer, Christian & Lund, Henrik, 2019. "Status and perspectives on 100% renewable energy systems," Energy, Elsevier, vol. 175(C), pages 471-480.
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    Cited by:

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    3. Ryszard Buchalik & Grzegorz Nowak & Iwona Nowak, 2024. "The Impact of Asymmetric Contact Resistance on the Operating Parameters of Thermoelectric Systems," Energies, MDPI, vol. 17(3), pages 1-29, January.

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