邓超, 马祖辉. 一种基于非均匀电导率的电热耦合数值算法[J]. 电波科学学报, 2020, 35(2): 227-233. doi: 10.13443/j.cjors.2018103001
      引用本文: 邓超, 马祖辉. 一种基于非均匀电导率的电热耦合数值算法[J]. 电波科学学报, 2020, 35(2): 227-233. doi: 10.13443/j.cjors.2018103001
      DENG Chao, MA Zuhui. A numerical method of electro-thermal coupling based on inhomogeneous conductivity[J]. CHINESE JOURNAL OF RADIO SCIENCE, 2020, 35(2): 227-233. doi: 10.13443/j.cjors.2018103001
      Citation: DENG Chao, MA Zuhui. A numerical method of electro-thermal coupling based on inhomogeneous conductivity[J]. CHINESE JOURNAL OF RADIO SCIENCE, 2020, 35(2): 227-233. doi: 10.13443/j.cjors.2018103001

      一种基于非均匀电导率的电热耦合数值算法

      A numerical method of electro-thermal coupling based on inhomogeneous conductivity

      • 摘要: 由于集成电路及其封装工艺的不断发展,其功率传输网络中的功率密度和电流密度日益增加,因此需要在集成电路的设计中考虑焦耳热效应和材料电导率性质相互耦合的影响.文中实现了基于有限元算法的电热耦合数值方法,并计算了集成电路的功率传输网络中考虑电和热相互作用时功率传输中产生的压降.但是在电热耦合计算中出现了由于某些边界条件设置而导致的电导率及其他物理参数分布不均匀情况,为了解决此问题,提出了非均匀参数的思想和向量化参数更新方法,在充分考虑非均匀的物理量之间的迭代耦合关系情况下,计算得到了功率传输中的非均匀温度分布和电势分布.同时,通过与其他两款商业软件对比,文中算法程序体现出了更高的时间效率,为集成电路的设计提供了基本的参考.

         

        Abstract: With the continuous development of integrated circuit and its packaging technology, the power density and current density in its power transmission network are increasing day by day, so it is necessary to consider the coupling effect of Joule heat effect and material conductivity property in the design of integrated circuit. In this paper, a numerical method of electro-thermal coupling based on finite element method is implemented to calculate the voltage drop of IC's PDN underconsidering the interaction between electricity and heat.However, the inhomogeneous distribution of conductivity and other physical parameters caused by some boundary conditions is found in the calculation of electro-thermal coupling.To solve this problem, the idea of inhomogeneous parameters and the vectorized parameters updating method are proposed. Considering the iterative coupling relationship between inhomogeneous physical quantities, the inhomogeneous temperature distribution and potential distribution in power transmission are calculated. Compared with other two commercial software, the algorithm shows higher time efficiency, which provides a basic reference for the design of integrated circuits.

         

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