An improved AMG-based method for fast power grid analysis

The continuing VLSI technology scaling leads to increasingly significant power supply fluctuations, which needs to be modeled accurately in circuit design and verification. Meanwhile, the huge size of power grid requires its analysis to be fast and highly scalable. Algebraic multigrid (AMG) has been recognized as a promising approach for fast power grid analysis. We propose several techniques to improve AMG-based power grid analysis: (1) dynamic reduction threshold; (2) weighted interpolation; and (3) a new error smoothing scheme. Experimental results on power grid with up to 1.6 million nodes show that these techniques can improve accuracy by over 10 times compared to a reported industrial method while retaining the same fast speed

[1]  Charlie Chung-Ping Chen,et al.  Efficient large-scale power grid analysis based on preconditioned Krylov-subspace iterative methods , 2001, Proceedings of the 38th Design Automation Conference (IEEE Cat. No.01CH37232).

[2]  Hao Ji,et al.  How to efficiently capture on-chip inductance effects: introducing a new circuit element K , 2000, IEEE/ACM International Conference on Computer Aided Design. ICCAD - 2000. IEEE/ACM Digest of Technical Papers (Cat. No.00CH37140).

[3]  Chung-Kuan Cheng,et al.  Power network analysis using an adaptive algebraic multigrid approach , 2003, DAC '03.

[4]  Haifeng Qian,et al.  Random walks in a supply network , 2003, Proceedings 2003. Design Automation Conference (IEEE Cat. No.03CH37451).

[5]  K. Stuben,et al.  Algebraic Multigrid (AMG) : An Introduction With Applications , 2000 .

[6]  Rajendran Panda,et al.  Hierarchical analysis of power distribution networks , 2002, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[7]  Sani R. Nassif,et al.  Multigrid-like technique for power grid analysis , 2001, IEEE/ACM International Conference on Computer Aided Design. ICCAD 2001. IEEE/ACM Digest of Technical Papers (Cat. No.01CH37281).

[8]  Sani R. Nassif,et al.  Power grid reduction based on algebraic multigrid principles , 2003, DAC '03.

[9]  Joseph W. H. Liu,et al.  On Finding Supernodes for Sparse Matrix Computations , 1993, SIAM J. Matrix Anal. Appl..

[10]  J. S. Neely,et al.  Interconnect and circuit modeling techniques for full-chip power supply noise analysis , 1998 .

[11]  Daniela De Venuto,et al.  International Symposium on Quality Electronic Design , 2005, Microelectron. J..