1:4 Tree microstrip interconnect Kron-Branin model

An uncommon computational model of printed circuit board (PCB) interconnect tree is developed. The proposed model is based on the Kron-Branin (KB) formalism. This uncommon KB method consists in traducing the tree interconnect network into a graph structure. The graph topology is constituted by the branches, nodes and coupling cords. The mathematical abstraction of the graph enables to establish the KB characteristic of the problem represented by the tree interconnect system. After the branch current calculations, the S-parameter model is established. The uncommon KB model is validated with a prototype of single-input and four-outputs (1:4) microstrip interconnect tree. As expected, the calculated S-parameters from the KB model are in good agreement with simulations and measurements from DC to 4 GHz. Thanks to the computation speed and accuracy, the KB model is prominent for the fast computation of interconnect structures and useful for the PCB EMC and signal integrity analyses.