Pattern-Based Iterative Method for Extreme Large Power/Ground Analysis

• Published in: IEEE transactions on computer-aided design of integrated circuits and systems Vol. 26; no. 4; pp. 680 - 692
• Main Authors: Jin Shi, Cai, Y., Tan, S.X.-D., Fan, J., Hong, X.
• Format: Journal Article
• Language: English
• Published: New York IEEE 01-04-2007; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Algorithm design and analysis; Analytical models; Circuit simulation; Circuit simulation and analysis; Computer aided design; Computer simulation; Design engineering; Geometry; Grounds; interconnect; Iterative algorithms; Iterative methods; Mathematical models; Partitioning algorithms; Pattern analysis; power delivery; power grids; Regularity; Similarity; Very large scale integration; Voltage
• ISSN: 0278-0070; 1937-4151
• DOI: 10.1109/TCAD.2007.892337

In this paper, we present a novel pattern-based method to simulate large-scaled power/ground (P/G) grids. This method takes advantage of both traditional direct simulation methods and iterative simulation methods. The new method explores the geometry characteristics of regular P/G grids and translates topology similarity to submatrix regularity, which is called "pattern" in this paper. Such pattern structures can reduce the memory usage dramatically. Further, a new type of preconditioner is constructed to optimize the simulation process. Experimental results show that the proposed approach is about 5times faster than the previous iterative methods with much lower memory, and is superior to the macro model-based hierarchical method on the tested large cases with pattern structures