Efficient power map modeling in integrated circuits and power devices

Swati Saxena, K. Jain
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Abstract

In the following paper, a flip-chip package structure (Silicon die) is modeled using electronics cooling solver ESI Presto. Two numerical approaches are used to model large number of power sources referred to as “Power Map”. First approach is to model sources as rectangular patches on a surface. This approach requires geometry re-meshing. Second approach is to model sources as points which eliminates the need to re-mesh. Hence, large number of sources can be modeled without increases the grid count or simulation execution time. Results from these two approaches are compared and they match very well for the current mesh. A parameter sensitivity analysis is performed by varying power map parameters such as power amplitude, Gaussian pulse width and location on the die. The relation between input power and average temperature rise is linear in these simulations as expected. The point source method is used to demonstrate a case with very large number (10,000) of sources.
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集成电路和功率器件中的高效功率图建模
本文采用电子冷却求解器ESI Presto对一个倒装芯片封装结构(硅模)进行了建模。采用两种数值方法对大量电源进行建模,称为“功率图”。第一种方法是将源建模为表面上的矩形块。这种方法需要几何重新网格化。第二种方法是将源建模为点,从而消除了重新网格的需要。因此,可以在不增加网格计数或模拟执行时间的情况下对大量源进行建模。对两种方法的结果进行了比较,结果表明两种方法对当前网格的匹配非常好。通过改变功率图参数,如功率幅值、高斯脉冲宽度和在模具上的位置,进行参数灵敏度分析。在这些模拟中,输入功率与平均温升之间呈线性关系。点源方法用于演示具有非常多(10,000)个源的情况。
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