Discontinuous Galerkin Time-Domain Analysis of Power-Ground Planes Taking Into Account Decoupling Capacitors
Discontinuous Galerkin Time-Domain Analysis of Power-Ground Planes Taking Into Account Decoupling Capacitors
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DOI：
10.1109/tcpmt.2017.2671413
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发表时间：
2017-03
期刊：
影响因子：
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通讯作者：
Ping Li;L. J. Jiang;H. Bağcı
中科院分区：
文献类型：
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作者：
Ping Li;L. J. Jiang;H. Bağcı
本文提出了一种考虑去耦电容影响的间断伽辽金时域（DGTD）方法。在存在去耦电容的情况下，整个物理系统可以被分成两个子系统：1）场子系统，其由将由DGTD方法求解的麦克斯韦方程控制;以及2）电路子系统，其包括电容及其寄生电感和电阻，将由修改的节点分析算法构造的电路方程表征。为了将两个子系统耦合在一起，在过孔筒和接地平面之间的同轴表面上限定集总端口。为了实现场与电路子系统的耦合，引入了一种集总电压源，该电压源通过电场沿径向沿着积分计算。另一方面，为了便于从电路到现场子系统的耦合，引入了从电路方程计算的集总端口电流源，其用作现场子系统的外加电流源。利用这两个辅助项，建立了场路混合矩阵方程，使得场路子系统可以同步求解。此外，任意形状的反焊盘被认为是通过强制执行适当的波端口激励使用的磁表面电流源来自反焊盘支持的电本征模。这样，可以方便地提取对应于不同模式的S参数。为了进一步提高算法在处理多尺度网格时的效率，采用了局部时间步进的方法。通过几个有代表性的例子验证了所提出的算法。
In this paper, a discontinuous Galerkin time-domain (DGTD) method is developed to analyze the power-ground planes taking into account the decoupling capacitors. In the presence of decoupling capacitors, the whole physical system can be split into two subsystems: 1) the field subsystem that is governed by Maxwell’s equations that will be solved by the DGTD method, and 2) the circuit subsystem including the capacitor and its parasitic inductor and resistor, which is going to be characterized by the modified nodal analysis algorithm constructed circuit equations. With the aim to couple the two subsystems together, a lumped port is defined over a coaxial surface between the via barrel and the ground plane. To reach the coupling from the field to the circuit subsystem, a lumped voltage source calculated by the integration of electric field along the radial direction is introduced. On the other hand, to facilitate the coupling from the circuit to field subsystem, a lumped port current source calculated from the circuit equation is introduced, which serves as an impressed current source for the field subsystem. With these two auxiliary terms, a hybrid field-circuit matrix equation is established, which enables the field and circuit subsystems are solved in a synchronous scheme. Furthermore, the arbitrarily shaped antipads are considered by enforcing the proper wave port excitation using the magnetic surface current source derived from the antipads supported electric eigenmodes. In this way, the S-parameters corresponding to different modes can be conveniently extracted. To further improve the efficiency of the proposed algorithm in handling multiscale meshes, the local time-stepping marching scheme is applied. The proposed algorithm is verified by several representative examples.