基于三角面元剖分的全波信号完整性建模方法

Full wave signal integrity modeling approach based on triangle meshes

推导了一种采用三角面元剖分和RWG(Rao-Wilton-Glisson)基函数的部分元等效电路(PEEC)方法,在此方法中采用了离散复镜像(DCIM)来计算格林函数。对于有拐角的印刷电路板(PCB)走线,同传统PEEC的四边形剖分方法相比,采用RWG基函数定义的三角形剖分方法有更高的计算精度和计算效率;不同于一般的使用准静格林函数的PEEC方法,在高频条件下,采用离散复镜像的PEEC方法的计算结果依然准确,并可以兼容HSPICE仿真信号完整性(SI)问题。给出了联合使用PEEC和HSPICE仿真得到信号眼图的结果,将实际PCB板走线S参数的仿真结果和测量结果进行了对比。实验结果表明:RWG-DCIM-PEEC是一种有效的SI仿真与分析方法。

A partial equivalent element circuit（PEEC）method with triangle cell subdivision and Rao-Wilton-Glissorn（RWG） basis functions is presented,and discrete complex image method（DCIM） is applied to compute the value of Green function.For irregular trace of printed circuit board（PCB）,compared with conventional PEEC method with rectangle cell subdivision,higher accuracy and efficiency can be achieved by using the proposed RWG-DCIM-PEEC method with triangle cell subdivision and RWG basis functions.Unlike the quasi static Green function of conventional PEEC method,DCIM in the proposed RWG-DCIM-PEEC method can increase the calculation accuracy in high frequency.Simulation results verify the effectiveness of the proposed RWG-DCIM-PEEC method.It is also compatible with circuit simulation software HSPICE.Optimize design for bended trace on PCB is accomplished with joint simulation using RWG-DCIM-PEEC and HSPICE.The eye diagrams of high rate binary signal transmission for four kinds of bended trace are presented,and practical testing results of a PCB is presented,and the simulation and measurement results show that the method is correct and effective.