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In this paper, a disc-shaped power tree is constructed for optimal DC performance. Given are the entire disc area and the structure of the tree. The conductivity path number N connecting with the center point source, the radial distance ratio, the area fraction and the number of pairing levels n are free to vary. The effect for parameters on resistance is investigated and the optimal parameters are obtained. The complexity of the tree increases because n increases and a more complex structure is beneficial for flow, but there exists a modest (not maximal) complexity. In the meantime, a disc power plane is designed based on the designed disc-shaped power tree. The disc power plane has multi-functions of equidistribution, low voltage drop, compactness and wideband noise isolation while maintaining a relatively simple design of geometry. Compared with leaf vein power plane, the disc power plane based on two pairing levels has smaller resistance and voltage drop than leaf vein power plane based on the same level assembled vein tree. |
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Keywords:Electro Magnetic Compatibility; Constructal theory; power integrity; voltage drop |
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