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This paper presents a class of power grid analysis and optimization techniques, all of which are based on the algebraic-multigrid (AMG) method. First, a new AMG-based reduction scheme is proposed to improve the efficiency of reducing the problem size for power grid analysis and optimization. Next, with the proposed reduction technique, a fast transient-analysis method is developed and extended to...
The continuing VLSI technology scaling and increasing Ldi/dt noise have led to more significant power supply fluctuations, which need to be modeled fast and accurately even in early-stage power grid design. In this paper the authors propose a supernode-like formulation of circuit equations, which may reduce the number of the linear equation variables to about one-third of that formulated by a regular...
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...
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