Analytical Unit Cell Assembly for Efficient Chip/Package Power Distribution Network Modeling

Equivalent-circuit models for efficiently simulating 2-D power distribution networks (PDNs) in packages and chips are usually based on a star-type network, where all the branch networks have one port at the star center. This letter presents a simple analytical method for constructing the start network without relying on circuit simulators. The method is based only on the admittance matrix manipulation of each branch network. The star network assembly method is general since it has no limitation on the number of star branches. The method is applied to a specific PDN example and it is validated by means of a commercial circuit simulator as well as full-wave and measured data.