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

Yu Min Lee, Yahong Cao, Tsung Hao Chen, Janet Meiling Wang, Charlie Chung Ping Chen

Research output: Contribution to journalArticle

49 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)797-806
Number of pages10
JournalIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Issue number6
StatePublished - Jun 1 2005



  • Model order reduction
  • Power distribution
  • Power grid
  • Signal integrity

ASJC Scopus subject areas

  • Software
  • Computer Graphics and Computer-Aided Design
  • Electrical and Electronic Engineering

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