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首页> 外文期刊>International Journal of Heat and Mass Transfer >Heat source layout optimization for two-dimensional heat conduction using iterative reweighted L1-norm convex minimization
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Heat source layout optimization for two-dimensional heat conduction using iterative reweighted L1-norm convex minimization

机译：迭代加权L1范数凸最小化用于二维导热的热源布局优化

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摘要

Optimization of heat source distribution in two dimensional heat conduction for electronic cooling problem is considered. Convex optimization is applied to this problem for the first time by reformulating the objective function and the non-convex constraints. Mathematical analysis is performed to describe the heat source equation and the combinatorial optimization problem. A sparsity based convex optimization technique is used to solve the problem approximately. The performance of the algorithm is tested by several cases with various boundary conditions and the results are compared with a uniformly distributed layout. These results indicate that through proper selection of the number of grid cells for placing the heat sources and a minimum inter-source spacing, the maximum temperature and temperature non-uniformity in the domain can be significantly reduced. To further assess the capabilities of the method, comparisons to the results available in the literature are also performed. Compared to the existing heat source layout optimization methods, the proposed algorithm can be implemented more easily using available convex programming tools and reduces the number of input control parameters and thus computation time and resources while achieving a similar or better cooling performance.
机译：针对电子冷却问题，考虑了二维热传导中热源分布的优化。通过重新构造目标函数和非凸约束，第一次将凸优化应用于此问题。进行数学分析以描述热源方程式和组合优化问题。基于稀疏的凸优化技术被用来近似地解决该问题。该算法的性能在几种情况下以各种边界条件进行了测试，并将结果与​​均匀分布的布局进行了比较。这些结果表明，通过适当选择用于放置热源的网格单元的数量和最小的源间间距，可以显着降低域中的最大温度和温度不均匀性。为了进一步评估该方法的功能，还与文献中提供的结果进行了比较。与现有的热源布局优化方法相比，该算法可使用可用的凸编程工具更轻松地实现，并减少了输入控制参数的数量，从而减少了计算时间和资源，同时实现了相似或更好的冷却性能。

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  • 作者

    Yanki Aslan; Jan Puskely; Alexander Yarovoy;

  • 作者单位

    Microwave Sensing, Signals and Systems Group, Department of Microelectronics, Faculty of Electrical Engineering, Mathematics and Computer Science, Delft University of Technology;

    Microwave Sensing, Signals and Systems Group, Department of Microelectronics, Faculty of Electrical Engineering, Mathematics and Computer Science, Delft University of Technology;

    Microwave Sensing, Signals and Systems Group, Department of Microelectronics, Faculty of Electrical Engineering, Mathematics and Computer Science, Delft University of Technology;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Heat source layout; Heat conduction optimization; Compressed sensing; Sequential convex optimization;

    机译：热源布局;热传导优化;压缩感测;顺序凸优化;

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