摘要
提出一个有效提取片上互连线频变电感参数的方法。该方法不需要把导体段进行细丝化离散,而是通过积分方程的离散,将求解三维准静态磁矢位的问题转化为多体问题,进而应用快速多极方法(fast multipole method,FMM)来提取片上互连电感参数。该方法能够更加准确的反映导体电流的不均匀分布,快速准确的计算出结构复杂的互连线电感参数。计算结果与基于电路模型法的Fasthenry进行比较,结果证明本文提出的FMM方法在整个频率范围内均可以得到很高的精度,且在可控的精度下,计算速度随着互连线数量的增多有显著提高。
An efficient approach is presented to extract the frequency dependent inductance of on-chip interconnects without discretising the conduct segment into filaments. The method is based on the discretization of the integral formulations by which the calculation of magnetic vector potential is translated into the N-body problem. The N-body problem in three dimensions is solved by the fast multipole method. The redistribution of the current density can be well described by this method and accurately extract the inductance parameter of very complicated geometries of conductors. The results demonstrate that a good accuracy can be achieved in the whole frequency domain and the calculation is speeded up for a number of on-chip connections under accuracy control.
出处
《中国电机工程学报》
EI
CSCD
北大核心
2008年第24期147-152,共6页
Proceedings of the CSEE
关键词
快速多极方法
互连线
电感提取
多体问题
矢量磁位
fast multipole method interconnect inductance extraction N-body problem magnetic vector potential
