HiPRIME: hierarchical and passivity preserved interconnect macromodeling engine for RLKC power delivery

Abstract

Abstract-This paper proposes a general hierarchical analysis methodology, HiPRIME, to efficiently analyze RLKC power delivery systems. After partitioning the circuits into blocks, we develop and apply the IEKS (Improved Extended Krylov Subspace) method to build the multiport Norton equivalent circuits which transform all the internal sources to Norton current sources at ports. Since there are no active elements inside the Norton circuits, passive or realizable model order reduction techniques such as PRIMA can be applied. The significant speed improvement, 700 times faster than Spice with less than 0.2% error and 7 times faster than a state-of-the-art solver, InductWise, is observed. To further reduce the top-level hierarchy runtime, we develop a second-level model reduction algorithm and prove its passivity.Index Terms-Model order reduction, power distribution, power grid, signal integrity.

High-Level Virtual Prototyping of Signal Integrity in Bus Communication

“…Indeed, some crucial issues (such as coupling between analog and digital functions, crosstalk noise in on-chip interconnects [3], [4], or unexpected hazards caused by low-level effects [5], [6]) are often only addressed at the low-level simulation step, even sometimes at the prototyping step, as part of a bottom-up design methodology. In that case, the hardware platform is usually well known, so the models can include detailed technological parameters.…”