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利用加权拉盖尔多项式-时域有限差分方法(WLP-FDTD)求解电源配送网络中电源地平面的瞬态响应过程。将电源地平面等效为二维电路模型,计算该模型在时域中的方程,采用拉盖尔基函数展开电流电压表达式,利用其正交性,避免了稳定约束条件进而得到方程的求解。与传统的时域有限差分方法(FDTD)相比,提出的方法分离了时间和空间变量,不受稳定条件的约束,在计算电源地平面剖分网格数较多时,具有较高的计算速率。仿真结果表明在电源地平面的分析中采用二维WLP-FDTD比FDTD的效率更高。
The weighted Laguerre polynomial-time-domain finite difference method (WLP-FDTD) is used to solve the transient response of power ground plane in power distribution networks. The power ground plane is equivalent to a two-dimensional circuit model, the equation in the time domain is calculated, and the expression of current and voltage is developed by using Laguerre function. By using its orthogonality, the stability constraints are avoided and the equation is solved . Compared with the traditional finite difference time domain (FDTD) method, the proposed method separates the time and space variables and is not constrained by the stability conditions. When the number of meshed grids in the power plane is large, the proposed method has higher computational speed . The simulation results show that using 2D WLP-FDTD is more efficient than FDTD in power ground plane analysis.