ENOR: model order reduction of RLC circuits using nodal equations for efficient factorization
Proceedings of the 36th annual ACM/IEEE Design Automation Conference
Extended Krylov subspace method for reduced order analysis of linear circuits with multiple sources
Proceedings of the 37th Annual Design Automation Conference
Efficient inductance extraction via windowing
Proceedings of the conference on Design, automation and test in Europe
How to efficiently capture on-chip inductance effects: introducing a new circuit element K
Proceedings of the 2000 IEEE/ACM international conference on Computer-aided design
Robust and passive model order reduction for circuits containing susceptance elements
Proceedings of the 2002 IEEE/ACM international conference on Computer-aided design
SOAR: A Second-order Arnoldi Method for the Solution of the Quadratic Eigenvalue Problem
SIAM Journal on Matrix Analysis and Applications
SAPOR: second-order Arnoldi method for passive order reduction of RCS circuits
Proceedings of the 2004 IEEE/ACM International conference on Computer-aided design
Fast flip-chip power grid analysis via locality and grid shells
Proceedings of the 2004 IEEE/ACM International conference on Computer-aided design
Proceedings of the 2005 Asia and South Pacific Design Automation Conference
PRIMA: passive reduced-order interconnect macromodeling algorithm
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Hierarchical analysis of power distribution networks
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Proceedings of the 43rd annual Design Automation Conference
Incremental and on-demand random walk for iterative power distribution network analysis
Proceedings of the 2009 Asia and South Pacific Design Automation Conference
EMPIRE: an efficient and compact multiple-parameterized model-order reduction
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
Modeling and design for beyond-the-die power integrity
Proceedings of the International Conference on Computer-Aided Design
Decentralized and passive model order reduction of linear networks with massive ports
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
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Power integrity analysis of in-package and on-chip power supply needs to consider a large number of ports and handle magnetic coupling that is better represented by susceptance. The existing moment matching methods are not able to accurately model both large number of ports and susceptance. In this paper, we propose a generalized Second-order Arnoldi method for reducing Multiple Source Linear Network (SAMSON) with susceptance. We employ a right-hand-side excitation current vector to replace the port incident matrix such that an MIMO (Multiple-input-multiple-output) system is transformed into an equivalent superposed SIMO (Single-input-multiple-output) system to avoid accuracy loss in block moment matching, and develop a generalized second-order Arnoldi method based orthonormalization to accurately handle susceptance and non-impulse current sources. Compared with existing EKS and IEKS approaches able to consider non-impulse sources but not susceptance, SAMSON is slightly faster and is more accurate in high frequency range and at dc. With same model order, SAMSON reduces time domain waveform error by 33X compared to EKS/IEKS and by 47X compared with the best block moment matching method applicable to susceptance.