Fast Analysis of Power/Ground Networks via Circuit Reduction  

基于等效电路降阶的电源/地线网络快速瞬态模拟(英文)

作　　者：蔡懿慈[1] 潘著[1] Sheldon X D Tan 洪先龙[1] 傅静静[1] 

机构地区：[1]清华大学计算机科学与技术系 [2]Department of Electrical Engineering,University of California,Riverside,CA92521,USA

出　　处：《Journal of Semiconductors》2005年第7期1340-1346,共7页半导体学报（英文版）

基　　金：国家高技术研究发展计划(批准号:2002AA1Z1460);国家自然科学基金(批准号:90307017)资助项目~~

摘　　要：This paper presents an efficient algorithm for reducing RLC power/ground network complexities by exploitation of the regularities in the power/ground networks. The new method first builds the equivalent models for many series RLC-current chains based on their Norton＇s form companion models in the original networks,and then the precondition conjugate gradient based iterative method is used to solve the reduced networks,which are symmetric positive definite. The solutions of the original networks are then back solved from those of the reduced networks.Experimental results show that the complexities of reduced networks are typically significantly smaller than those of the original circuits, which makes the new algorithm extremely fast. For instance, power/ground networks with more than one million branches can be solved in a few minutes on modern Sun workstations.提出了一种电源/地线网络的快速时域分析方法.本算法在每一模拟时刻,首先离散化原始电路并且利用诺顿定律简化电路,继而针对电路中的链式结构的串联支路,提出了一种无误差的等效电路的模型降阶算法,将原始电路压缩为仅由交叉节点组成的电路.然后用预条件共轭梯度法求解被压缩的电路,最后恢复求解中间节点的电压值.有效地提高了算法的分析效率,在不损失精度的情况下,比目前工业界普遍采用的SPICE软件快两个数量级.

关 键 词：circuit simulation power/ground network model reduction RLC circuit 

分 类 号：TN402[电子电信—微电子学与固体电子学]