无机材料学报

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晶格热电臂结构参数与输出功率密度的定量化关系

周杰1, 陈刚1, 李国栋1,2   

  1. 1.武汉理工大学 物理与力学学院 湖北先进材料力学理论与应用重点实验室,武汉 430070;
    2.武汉理工大学 材料复合新技术国家重点实验室,武汉 430070
  • 收稿日期:2026-01-21 修回日期:2026-03-20
  • 通讯作者: 李国栋, 教授. E-mail: guodonglee@whut.edu.cn
  • 作者简介:周 杰(2001-), 男, 硕士研究生. E-mail: 299124@whut.edu.cn

Quantitative Relationship between Structural Parameters and Output Power Density in Lattice Thermoelectric Legs

ZHOU Jie1, CHEN Gang1, LI Guodong1,2   

  1. 1. Hubei Key Laboratory of Theory and Application of Advanced Materials Mechanics, School of Physics and Mechanics, Wuhan University of Technology, Wuhan 430070, China;
    2. State Key Laboratory of Advanced Technology for Materials Synthesis and Processing, Wuhan University of Technology, Wuhan 430070, China
  • Received:2026-01-21 Revised:2026-03-20
  • Contact: LI Guodong, professor. E-mail: guodonglee@whut.edu.cn
  • About author:ZHOU Jie (2001–), male, Master candidate. E-mail: 299124@whut.edu.cn
  • Supported by:
    Foundation item: National Natural Science Foundation of China (92463309; 92463301; 92163212; 92363001; 92163215)

摘要: 与传统块状热电臂不同,近期的研究表明晶格结构热电臂是一种兼具经济性与高效性的策略,可有效提升输出功率密度。然而,目前针对晶格结构参数与热电性能之间的本征关联尚缺乏系统性分析。本研究探究了晶格热电臂的两个关键结构参数(杆径与晶格周期)在不同边界条件下与最大输出功率密度的关联规律。本研究采用一种近似计算方法,用于求解晶格结构中广泛分布的斜向杆件的传热与导电特性。随后,在从单一杆件单元向整体晶格结构的推演过程中,研究纳入了杆件单元与整体结构的关联关系,以及节点的影响作用。最终,结合一维能量平衡理论,推导得到了结构参数与输出功率密度的关联模型。研究结果表明:在对流换热边界条件下,晶格结构热电臂因高热阻特性,在温差与输出功率密度方面较块体结构具备显著优势。当换热系数为200 W·m-2·K-1(实际应用中常见值)时,通过调节结构参数,晶格结构热电臂的温差可达块体结构的2.4倍,输出功率密度可达块体结构的3.8倍。本研究可以为研发高性价比的热电装置提供理论指导。

关键词: 热电发电机, 晶格热电臂, 理论模型, 输出功率密度

Abstract: Unlike traditional bulk thermoelectric legs, recent studies show lattice-structured ones are a cost-effective strategy for boosting output power density. However, the intrinsic relationship between their structural parameters and thermoelectric performance lacks systematic analysis. This work investigated the relationship between two key structural parameters (strut diameter and lattice period) of lattice thermoelectric legs and the maximum output power density under different boundary conditions via an approximate calculation method for the heat transfer and electrical conduction of the extensively distributed diagonal struts in lattice structures. Then, the relationship between strut elements and the integral structure, as well as the influence of nodes, was taken into account during the transition from individual strut elements to the overall lattice structure. Finally, the correlation between structural parameters and output power density was derived by integrating the one-dimensional energy balance theory. Results show that under convective heat transfer boundary, lattice-structured thermoelectric legs have significant advantages in temperature difference and output power density over bulk structures due to their high thermal resistance. When the heat transfer coefficient is 200 W·m-2·K-1 (a common value in practical applications), adjusting the structural parameters makes the temperature difference ratio 2.4 times that of the bulk structure and the output power density 3.8 times. Our work provides theoretical guidance for the development of cost-effective thermoelectric devices.

Key words: thermoelectric generator, lattice thermoelectric leg, theoretical model, output power density

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