Admittance Extraction of Loaded Grid Power Distribution Network with Arbitrary Shapes

In this paper, an equivalent circuit model for the parasitic admittance extraction of the shorting loaded grid power distribution network (PDN) with an arbitrary shape is proposed. This model is based on the different current flowing paths along the grid PDN at low and high frequencies. The equivalent circuit takes resonances related to high-order mode currents into consideration, so that it can be used to evaluate both the inductance at low frequencies and the resonance characteristics of the admittance at high frequencies. A non-uniform and irregularly shaped grid PDN with the load of a metalized via is simulated and its equivalent circuit is calculated to illustrate the proposed method. Finally, to verify the accuracy of the proposed equivalent circuit, a rectangular shaped grid PDN is measured. The admittance obtained from the measurement shows good agreements with that obtained from the proposed equivalent circuit.