A new circuit model for power plane system considering decoupling capacitances in multi-layer digital applications

In this paper, a newly devised model for fast design of power-ground planes including decoupling capacitors has been proposed, which simplifies the inductance and resistance nets extracted from n-port z-parameters of the power-ground plane system to a lumped circuit model. The z-parameters at all nodes are obtained via a calculated inverse matrix of the node admittance matrix. The node admittance matrix is derived from I-V equations on an equivalent circuit of power plane grids with the n/spl times/m array of square unit cells. Through this work, the power-ground plane net system is abbreviated to some lumped T-circuit circuit parameters. The proposed modeling technique shows that an optimization of ground-power planes in as well frequency domain as time-domain is easily and fast obtained without supporting extra tools. Also, the proposed model is verified through comparison with results of the power plane circuit by using unit cell array composed of RLGC elements.