Geometrical design of thermoelectric generators based on topology optimization

A. Takezawa*, M. Kitamura

*この研究の対応する著者

研究成果: Article査読

21 被引用数 (Scopus)

抄録

This paper discusses an application of the topology optimization method for the design of thermoelectric generators. The proposed methodology provides the optimized geometry in accordance with various arbitrary conditions such as the types of materials, the volume of materials, and the temperature and shape of the installation position. By considering the coupled equations of state for the thermoelectric problem, we introduce an analytical model subject to these equations, which mimics the closed circuit composed of thermoelectric materials, electrodes, and a resistor. The total electric power applied to the resistor and the conversion efficiency are formulated as objective functions to be optimized. The proposed optimization method for thermoelectric generators is implemented as a geometrical optimization method using the solid isotropic material with penalization method used in topology optimizations. Simple relationships are formulated between the density function of the solid isotropic material with penalization method and the physical properties of the thermoelectric material. A sensitivity analysis for the objective functions is formulated with respect to the density function and the adjoint equations required for calculating it. Depending on the sensitivity, the density function is updated using the method of moving asymptotes. Finally, numerical examples are provided to demonstrate the validity of the proposed method.

本文言語English
ページ(範囲)1363-1392
ページ数30
ジャーナルInternational Journal for Numerical Methods in Engineering
90
11
DOI
出版ステータスPublished - 2012 6月 15
外部発表はい

ASJC Scopus subject areas

  • 数値解析
  • 工学一般
  • 応用数学

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