Approximate Frequency Response Models for RLC Power Grids

Large power grid RLC models are complex and computationally expensive. This work explores the efficient modeling of power grid at early stages of the design with reduced complexity. This paper presents a simplified model of the power grid circuit based on the assumption of uniform load current distribution and equipotential nodes approximation. In addition, based on the moment matching technique an approximate analytical model is derived. The presented models provide huge reduction in complexity without scarifying much accuracy in the trans-impedance frequency response compared to the full RLC power grid model. This is desirable in the early phases of design where only initial estimates of load currents are available. The analytical model presented can be easily used for power grid optimization and trade-offs.