This paper develops an unfamiliar modelling of printed circuit board (PCB) interconnect behaving as HH-tree. The developed model is based on the tensorial analysis of networks (TAN) formalism. The HH-tree is implemented with the equivalent LC-network based on Hammerstad-Jensen modelling. The unfamiliar TAN methodology is described by starting from the equivalent graph topology. The HH-tree TAN model is established from the branch and mesh spaces implementation of voltage, current and impedance tensorial objects. Then, the HH-tree PCB problem is reformulated with the tensorial electrical system metric. The solution of the metric problem is validated with commercial tool simulation from DC up to 2.5 GHz with a microstrip circuit proof-of-concept. As expected, computed and simulated results are in good agreement.

中文翻译：

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HH形微带互连树的TAN建模

本文开发了一种不熟悉的印刷电路板 (PCB) 互连模型，该模型表现为 HH 树。开发的模型基于网络张量分析 (TAN) 形式主义。HH 树是使用基于 Hammerstad-Jensen 建模的等效 LC 网络实现的。不熟悉的 TAN 方法是从等效的图拓扑开始描述的。HH-tree TAN 模型是从电压、电流和阻抗张量对象的分支和网格空间实现中建立的。然后，HH-tree PCB 问题用张量电气系统度量重新表述。度量问题的解决方案通过从 DC 到 2.5 GHz 的商用工具仿真以及微带电路概念验证进行验证。正如预期的那样，计算结果和模拟结果非常吻合。