节点与支路混合撕裂分析法

Node and Branch Tearing Hybrid Analysis

  • 摘要: 本文在广义撕裂法6及节点撕裂节点分析法4的基础上提出了一种新的撕裂方法—节点与支路混合撕裂法(简称混合撕裂法)。它同混合分析法与节点分析法及回路分析法的关系类似,可以把广义撕裂法中的节点回路撕裂法与节点撕裂节点分析法作为它的特例,且一般可以达到比二者更好的撕裂效果。本文给出了节点与支路混合撕裂法的严格证明,给出了以二级撕裂6为基础的算法及示例。

     

    Abstract: A new tearing approach for analyzing large-Scale linear networks, called node and branch tearing hybrid analyis(NBT for short), based on genera lized hybrid diakoptics6 and node-tearing nodal analysis is presented in this paper. The new tearing approach takes both generalized hybrid dia-koptics and node-tearing nodal analysis as its special cases in a way analogous to the relations that exist between hybrid analysis and loop analysis and between hybrid analysis and nodal analysis. As a result, it can obtain much better tearing results.The rigorous proof of NBT is also presented. Then,an algorithm based on two level diakoptics and an example are shown in the paper. Another new approach dual to node-tearing nodal analgsis,called Loop Tearing Loop Analysis(LTLA for short),is also mentioned at the end of the paper.

     

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