Enabling Full-System Transient Power Integrity Verification via Model Order Reduction and Waveform Relaxation

We present a comprehensive modeling and simulation framework for transient analysis of multicore power delivery networks equipped with integrated voltage regulator banks. Numerical simulation at the system level of such structures remains a challenging task due to the large-scale nature of the equations to be solved, combined with the nonlinearities of the regulator switches and the feedback loops of the corresponding controls. We propose a solution based on a combination of structure-pre-serving Model Order Reduction algorithms with parallel time-domain solvers based on system partitioning and Waveform Relaxation. Application to commercial mobile and enterprise server benchmarks demonstrates a speedup as much as 1000X with respect to HSPICE, with negligible loss of accuracy.