摘要
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 Polynomials-Finite Difference Time Domain（WLP-FDTD）method is employed to analyze the transient response of power ground planes in Power Delivery Network. The power ground planes can be regarded as the equivalent 2D circuit networks modeling. Based on this model,the time-domain equations can be obtained. The current and voltage in the equations can be computed with the weighted Laguerre polynomials. According to the orthogonality,the stability condition can be eliminated. Different from the Finite Difference Time Domain method,the WLP-FDTD method is unconditional stable,which separates the time and space variables. This method has fast computing speed in large number of dissection network for computing power ground planes. Simulation results show that the 2D WLP-FDTD method is more efficient than the 2D traditional FDTD in analysis of power ground planes.
出处
《微波学报》
CSCD
北大核心
2016年第1期31-35,40,共6页
Journal of Microwaves
基金
国家自然科学基金仪器专项(61327803)
上海市科委项目(13511500900)
高等学校博士学科点专项科研基金(20120073130003)
