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Geometric optimization for the thermoelectric generator with variable cross-section legs by coupling finite element method and optimization algorithm

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  • Ge, Ya
  • He, Kui
  • Xiao, Liehui
  • Yuan, Wuzhi
  • Huang, Si-Min

Abstract

Recently, several kinds of variable cross-section legs have been reported to improve the performance of thermoelectric generators (TEGs). This work further proposes an optimization study to maximize the output power of variable cross-section TEGs for solar energy utilization by coupling finite element method (FEM) and optimization algorithm. Six geometric variables along with the external load resistance are optimized by genetic algorithm (GA) and particle swarm optimization (PSO). Besides, Joule heating, Peltier effect, and Thomson effect are considered in the numerical model to improve the simulation accuracy. Optimization results show that distributions of the thermal resistance and the electrical resistance are significantly changed when the volumes of thermoelectric material remain constant. The optimized leg shape increases the temperature gradient in the high figure of merit (ZT) region by reducing the cross-section area. Although internal resistances of optimal TEGs are greater than those of rectangular TEGs, the improvement in electromotive force results in the enhancement of electrical performance. At heat flux of 35000 W m−2, 40000 W m−2, 45000 W m−2, and 50000 W m−2, temperature differences of optimal TEGs are increased by 12.77%, 18.36%, 41.93%, and 73.14%, while output powers are improved by 1.45%, 2.13%, 9.33%, and 20.13%, respectively.

Suggested Citation

  • Ge, Ya & He, Kui & Xiao, Liehui & Yuan, Wuzhi & Huang, Si-Min, 2022. "Geometric optimization for the thermoelectric generator with variable cross-section legs by coupling finite element method and optimization algorithm," Renewable Energy, Elsevier, vol. 183(C), pages 294-303.
    • Handle: RePEc:eee:renene:v:183:y:2022:i:c:p:294-303
    DOI: 10.1016/j.renene.2021.11.016
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    References listed on IDEAS

    as
    1. Zhu, Lei & Li, Huaqi & Chen, Sen & Tian, Xiaoyan & Kang, Xiaoya & Jiang, Xinbiao & Qiu, Suizheng, 2020. "Optimization analysis of a segmented thermoelectric generator based on genetic algorithm," Renewable Energy, Elsevier, vol. 156(C), pages 710-718.
    2. Hsu, Cheng-Ting & Huang, Gia-Yeh & Chu, Hsu-Shen & Yu, Ben & Yao, Da-Jeng, 2011. "An effective Seebeck coefficient obtained by experimental results of a thermoelectric generator module," Applied Energy, Elsevier, vol. 88(12), pages 5173-5179.
    3. Ali, Haider & Yilbas, Bekir Sami & Al-Sharafi, Abdullah, 2017. "Innovative design of a thermoelectric generator with extended and segmented pin configurations," Applied Energy, Elsevier, vol. 187(C), pages 367-379.
    4. Chen, Lingen & Li, Jun & Sun, Fengrui & Wu, Chih, 2008. "Performance optimization for a two-stage thermoelectric heat-pump with internal and external irreversibilities," Applied Energy, Elsevier, vol. 85(7), pages 641-649, July.
    5. Cheng, Fuqiang & Hong, Yanji & Li, Weiping & Guo, Xiaohong & Zhang, Hailong & Fu, Feng & Feng, Bingqing & Wang, Gang & Wang, Chao & Qin, Haibing, 2017. "A thermoelectric generator for scavenging gas-heat: From module optimization to prototype test," Energy, Elsevier, vol. 121(C), pages 545-560.
    6. He, Zhi-Zhu, 2020. "A coupled electrical-thermal impedance matching model for design optimization of thermoelectric generator," Applied Energy, Elsevier, vol. 269(C).
    7. Liu, Zhichun & Zhu, Shiping & Ge, Ya & Shan, Feng & Zeng, Lingping & Liu, Wei, 2017. "Geometry optimization of two-stage thermoelectric generators using simplified conjugate-gradient method," Applied Energy, Elsevier, vol. 190(C), pages 540-552.
    8. Manikandan, S. & Kaushik, S.C., 2016. "The influence of Thomson effect in the performance optimization of a two stage thermoelectric generator," Energy, Elsevier, vol. 100(C), pages 227-237.
    9. Ge, Ya & Liu, Zhichun & Sun, Henan & Liu, Wei, 2018. "Optimal design of a segmented thermoelectric generator based on three-dimensional numerical simulation and multi-objective genetic algorithm," Energy, Elsevier, vol. 147(C), pages 1060-1069.
    10. Fan, Shifa & Gao, Yuanwen & Rezania, Alireza, 2021. "Thermoelectric performance and stress analysis on wearable thermoelectric generator under bending load," Renewable Energy, Elsevier, vol. 173(C), pages 581-595.
    11. Meng, Jing-Hui & Zhang, Xin-Xin & Wang, Xiao-Dong, 2014. "Multi-objective and multi-parameter optimization of a thermoelectric generator module," Energy, Elsevier, vol. 71(C), pages 367-376.
    12. An, Tae-Ho & Choi, Soon-Mok & Kim, Il-Ho & Kim, Sun-Uk & Seo, Won-Seon & Kim, Jong-Young & Park, Chan, 2012. "Thermoelectric properties of a doped Mg2Sn system," Renewable Energy, Elsevier, vol. 42(C), pages 23-27.
    13. Shittu, Samson & Li, Guiqiang & Zhao, Xudong & Ma, Xiaoli, 2020. "Review of thermoelectric geometry and structure optimization for performance enhancement," Applied Energy, Elsevier, vol. 268(C).
    14. Ge, Ya & Lin, Yousheng & He, Qing & Wang, Wenhao & Chen, Jiechao & Huang, Si-Min, 2021. "Geometric optimization of segmented thermoelectric generators for waste heat recovery systems using genetic algorithm," Energy, Elsevier, vol. 233(C).
    15. Liu, Hai-Bo & Wang, Shuo-Lin & Yang, Yan-Ru & Chen, Wei-Hsin & Wang, Xiao-Dong, 2020. "Theoretical analysis of performance of variable cross-section thermoelectric generators: Effects of shape factor and thermal boundary conditions," Energy, Elsevier, vol. 201(C).
    16. Karana, Dhruv Raj & Sahoo, Rashmi Rekha, 2019. "Influence of geometric parameter on the performance of a new asymmetrical and segmented thermoelectric generator," Energy, Elsevier, vol. 179(C), pages 90-99.
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    3. Nan, Bohang & Guo, Tao & Deng, Hao & Zhang, Guangbing & Shi, Ran & Xin, Jiakai & Tang, Chen & Xu, Guiying, 2024. "Output performance improvement for thermoelectric transistor with the consideration of the Thomson effect and geometry optimization," Applied Energy, Elsevier, vol. 357(C).
    4. Yang, Wenlong & Jin, Chenchen & Zhu, Wenchao & Li, Yang & Zhang, Rui & Huang, Liang & Xie, Changjun & Shi, Ying, 2024. "Taguchi optimization and thermoelectrical analysis of a pin fin annular thermoelectric generator for automotive waste heat recovery," Renewable Energy, Elsevier, vol. 220(C).
    5. Wang, Xue & Zong, Yujie & Su, Wenbin & Wang, Chunlei & Wang, Hongchao, 2024. "Output and mechanical performance of thermoelectric generator under transient heat loads," Renewable Energy, Elsevier, vol. 222(C).
    6. Ye-Qi Zhang & Jiao Sun & Guang-Xu Wang & Tian-Hu Wang, 2022. "Advantage of a Thermoelectric Generator with Hybridization of Segmented Materials and Irregularly Variable Cross-Section Design," Energies, MDPI, vol. 15(8), pages 1-18, April.
    7. Sourav Bhakta & Balaram Kundu, 2024. "A Review of Thermoelectric Generators in Automobile Waste Heat Recovery Systems for Improving Energy Utilization," Energies, MDPI, vol. 17(5), pages 1-46, February.
    8. Ge, Ya & Xiao, Qiyin & Wang, Wenhao & Lin, Yousheng & Huang, Si-Min, 2022. "Design of high-performance photovoltaic-thermoelectric hybrid systems using multi-objective genetic algorithm," Renewable Energy, Elsevier, vol. 200(C), pages 136-145.
    9. Zhu, WenChao & Yang, Wenlong & Yang, Yang & Li, Yang & Li, Hao & Shi, Ying & Yan, Yonggao & Xie, Changjun, 2022. "Economic configuration optimization of onboard annual thermoelectric generators under multiple operating conditions," Renewable Energy, Elsevier, vol. 197(C), pages 486-499.
    10. Yang, Wenlong & Zhu, WenChao & Du, Banghua & Wang, Han & Xu, Lamei & Xie, Changjun & Shi, Ying, 2023. "Power generation of annular thermoelectric generator with silicone polymer thermal conductive oil applied in automotive waste heat recovery," Energy, Elsevier, vol. 282(C).
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