Efficient Power Network Analysis with Complete Inductive Modeling

Shan Zeng1,  Wenjian Yu1,  Wanping Zhang2,  Jian Wang1,  Xianlong Hong1,  Chung-Kuan Cheng2
1EDA Lab, Dept. Computer Science & Technology, Tsinghua University, Beijing 100084, P.R. China, 2Department of Computer Science and Engineering, University of California, San Diego, CA 92093, USA


In this paper, an efficient method is proposed to accurately analyze large-scale power/ground (P/G) networks, where inductive parasitics are modeled with the partial reluctance. The method is based on frequency-domain circuit analysis and the technique of vector fitting [8], and obtains the time-domain voltage response at given P/G nodes. The frequency-domain circuit equation including partial reluctances is derived, and then solved with the GMRES algorithm with rescaling and precondition techniques. Due to the sparsified reluctance matrix and the frequency-domain based simulation techniques, the proposed method is able to handle large-scale P/G networks with complete inductive modeling. Numerical results show that the proposed method is orders of magnitude faster than HSPICE, and capable of handling the inductive P/G structures with more than 100,000 wire segments.