论文标题
多段线的DC电流应力下,基于多层感知器的应力演化分析
Multilayer Perceptron Based Stress Evolution Analysis under DC Current Stressing for Multi-segment Wires
论文作者
论文摘要
由于连续的技术扩展,电气移民(EM)是非常大规模集成(VLSI)系统的可靠性分析的主要关注点之一。准确地预测综合电路(IC)的失败时间对现代IC设计变得越来越重要。但是,传统方法通常不够准确,导致不良设计的过度设计,尤其是在先进的技术节点中。在本文中,我们提出了一种使用多层感知器(MLP)来计算互连树中的应力演变的方法,这些方法在空隙核阶段中。神经网络训练的定制试验功能的可用性有望在随着时间变化的温度下在复杂的互连树上找到无动态的网状应力演化。具体而言,我们制定了一个新的目标函数,考虑到EM诱导的耦合部分微分方程(PDES),边界条件(BCS)和初始条件,以在空间暂时性域中强制实施基于物理的约束。与传统的数值方法(如FEM)相比,提出的模型避免了网格划分并减少时间迭代。数值结果证实了其在准确性和计算性能方面的优势。
Electromigration (EM) is one of the major concerns in the reliability analysis of very large scale integration (VLSI) systems due to the continuous technology scaling. Accurately predicting the time-to-failure of integrated circuits (IC) becomes increasingly important for modern IC design. However, traditional methods are often not sufficiently accurate, leading to undesirable over-design especially in advanced technology nodes. In this paper, we propose an approach using multilayer perceptrons (MLP) to compute stress evolution in the interconnect trees during the void nucleation phase. The availability of a customized trial function for neural network training holds the promise of finding dynamic mesh-free stress evolution on complex interconnect trees under time-varying temperatures. Specifically, we formulate a new objective function considering the EM-induced coupled partial differential equations (PDEs), boundary conditions (BCs), and initial conditions to enforce the physics-based constraints in the spatial-temporal domain. The proposed model avoids meshing and reduces temporal iterations compared with conventional numerical approaches like FEM. Numerical results confirm its advantages on accuracy and computational performance.