基于混沌多项式展开法的线束串扰统计模型  

Statistic analysis of cable bundle crosstalk based on polynomial chaos expansion

作　　者：王天皓[1] 王忠福[2] 王雨蒙[2] 杨开宇[2] 高印寒[2] 马喜来 

机构地区：[1]吉林大学仪器科学与电气工程学院,长春130061 [2]吉林大学汽车仿真与控制国家重点实验室,长春130022 [3]中国第一汽车股份有限公司技术中心,长春130011

出　　处：《吉林大学学报（工学版）》2017年第5期1568-1576,共9页Journal of Jilin University:Engineering and Technology Edition

基　　金：吉林省基础研究计划基金项目(20150101029JC)

摘　　要：针对线束导线在实际情况中为非确定性几何布置的这一问题,提出了一种基于混沌多项式展开法的线束串扰统计分析方法。该方法根据线束导线位置变量的分布类型选取相应的正交多项式对线束导线分布参数进行展开,结合边界条件,采用模式理论对基于混沌多项式展开的多导体传输线方程扩展形式进行求解,进而得到电压和电流向量的混沌多项式展开表达式,并利用混沌多项式展开法的相关性质得到表征线束串扰统计特征的相关参数。通过与传统的蒙特卡法进行对比可知,该方法在保证计算结果准确可靠的同时,计算效率也得到了大幅度的提高,从而实现复杂系统线束电磁兼容性能的高效预测。For the phenomenon that the position of cable bundle in reality is non-deterministic geometric,this paper proposes the statistical analysis method of cable bundle crosstalk model based on Polynomial Chaos Expansion.The orthogonal polynomial basis functions are chosen based on the distribution pattern of the variables related to the positions of wires in the cable bundle,and the distributed parameters of the wires can be expressed by the Polynomial Chaos Expansion.With the boundary conditions,the extended MTL can be solved by the modeling methodology,and then the voltage vector and current vector can be expressed by the Polynomial Chaos Expansion.According to the properties of the Polynomial Chaos Expansion,the mean,standard deviation and variation range of the cable bundle crosstalk can be obtained,and the probability density function of the cable bundle crosstalk can also becalculatedthrough numerical method. Thus,the efficient prediction of electromagnetic compatibility of cable bundle in complex system has realized.

关 键 词：仪器仪表技术 混沌多项式展开 线束串扰 多导体传输线 统计分析 

分 类 号：TM930.11[电气工程—电力电子与电力传动]