This work explores how growth simulation may be applied to the fundamental area-to-point (AP) optimization problems in the design of integrated circuits. To achieve this, a newly developed generative algorithm capable of creating a continuous explicit tree-like path is applied. Novelty of the proposed algorithm lies in the introduction of a specific interpolation scheme called “electrical conductivity spreading approach”, which enables conducting channels to extend freely without constraint by the underlying finite element mesh (i.e., node locations or element connections); thus, more optimization flexibility is achieved compared to the previous constructal methods. To demonstrate the benefits of this method for AP problems, two optimization models with different objective functions are exemplarily benchmarked against a conventional constructal design for power distribution networks (PDNs) in electromagnetic bandgap (EBG) power planes. In each case, the optimization finds a significant improvement with respect to the conventional design. Good agreement between experimental measurements and simulations is found, which confirms the validity of the proposed generative algorithm.

中文翻译：

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使用衍生式设计算法对电磁带隙电源平面配电网络进行构造优化

这项工作探索了如何将生长模拟应用于集成电路设计中的基本区域到点 (AP) 优化问题。为了实现这一点，应用了一种新开发的生成算法，该算法能够创建连续的显式树状路径。所提出算法的新颖之处在于引入了一种称为“电导率扩展方法”的特定插值方案，该方案使导电通道不受底层有限元网格（即节点位置或单元连接）的约束而自由扩展；因此，与以前的构造方法相比，实现了更多的优化灵活性。为了证明这种方法对 AP 问题的好处，具有不同目标函数的两个优化模型示例性地与电磁带隙 (EBG) 电源平面中配电网络 (PDN) 的传统结构设计进行了基准测试。在每种情况下，优化都会发现相对于传统设计的显着改进。发现实验测量和模拟之间的良好一致性，这证实了所提出的生成算法的有效性。