Fast Electromagnetics-Based Co-Simulation of Linear Network and Nonlinear Circuits for the Analysis of High-Speed Integrated Circuits
Fast Electromagnetics-Based Co-Simulation of Linear Network and Nonlinear Circuits for the Analysis of High-Speed Integrated Circuits
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DOI：
10.1109/tmtt.2010.2086590
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发表时间：
2010-11
影响因子：
4.3
通讯作者：
Qing He;D. Jiao
中科院分区：
文献类型：
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作者：
Qing He;D. Jiao
开发了一种快速电磁模拟器来共同模拟集成电路系统中的线性网络和非线性电路。在该模拟器中，大规模线性网络的物理布局被严格简化为非线性电路所在的单个表面或几个表面。减少是通过分析完成的，因此计算开销是最小的。然后将简化系统分为线性系统和非线性系统，以便可以有效地求解这两个系统。采用时域分层有限元降维法快速求解线性方程组。通过开发一种有效的方法来求解非线性方程组。该方法将线性网络对非线性系统的贡献呈现为雅可比矩阵中的对角矩阵，从而显着加快了非线性求解的速度。简化系统求解后，计算域中其他地方的未知数可以通过时域分层有限元简化恢复方法有效地恢复。所提出的模拟器已应用于协同模拟片上互连和 CMOS 晶体管。数值结果证明了其准确性和有效性。所提出的模拟器能够捕获整个电磁频谱内集成电路互连、封装、射频/模拟元件、基板和非线性驱动器/接收器之间的全局电气相互作用。另外，它绕过了线性网络的提取，保留了线性网络的无源性和稳定性，捕获了线性网络与非线性器件之间的相互作用。
A fast electromagnetic simulator is developed to co-simulate the linear network and nonlinear circuits in an integrated circuit system. In this simulator, the physical layout of a large-scale linear network is rigorously reduced to a single surface or a few surfaces where the nonlinear circuits are located. The reduction is done analytically, and, hence, the computational overhead is minimal. The reduced system is then split into a linear system and a nonlinear system so that both systems can be solved efficiently. The linear system of equations is solved rapidly by the time-domain layered finite-element reduction-recovery method. The nonlinear system of equations is solved by developing an efficient method. This method renders the contribution from the linear network to the nonlinear system a diagonal matrix in the Jacobian matrix, hence significantly speeding up the nonlinear solution. After the reduced system is solved, the unknowns elsewhere in the computational domain are recovered efficiently by the time-domain layered finite-element reduction-recovery method. The proposed simulator has been applied to co-simulate on-chip interconnects and CMOS transistors. Numerical results have demonstrated its accuracy and efficiency. The proposed simulator is capable of capturing the global electrical interaction between integrated circuit interconnects, package, RF/analog components, substrates, and nonlinear drivers/receivers across the full electromagnetic spectrum. In addition, it bypasses the extraction of the linear network, preserves the passivity and stability of the linear network, and captures the interaction between the linear network and nonlinear devices.