HiPRIME: Hierarchical and Passivity Preserved Interconnect Macromodeling Engine for RLKC Power Delivery

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.