一种多导体传输线串扰不确定性问题的计算方法

A calculation method for uncertainty of crosstalk in multi-conductor transmission line

针对实际问题中传输线对地高度、相对距离和端接阻抗等参数表现出不确定性时的情况,提出了一种多导体传输线串扰不确定性问题的计算方法。该方法首先通过建立参数不确定的多导体传输线模型,依据多导体传输线理论,考虑模型具有安全阈值,结合基于最可能失效点的随机响应面法完成对多导体传输线模型失效概率的计算。通过比较,该方法得到的模型失效概率与蒙特卡罗法的计算结果基本一致,但其计算效率得到了大幅提升,并且能方便地得到模型串扰的统计矩,从而实现对汽车等复杂系统中的线束或电路板微带线等传输线电磁兼容性能的高效准确预测。

Aiming at the problem that the parameters such as the height,relative distance and termination impedance of the transmission line show uncertainty in the practice,a calculation method for the uncertainty of crosstalk in multi-conductor transmission line is proposed. Firstly,the multi-conductor transmission line model with uncertain parameters is established. Then,according to the multi-conductor transmission line theory,considering that the model has a safety threshold,the random response surface method based on the most likely failure point is used to calculate the failure probability of the multi-conductor transmission line model. By comparison,the failure probability of the model obtained by this method is basically consistent with the calculation result of Monte Carlo method,but its calculation efficiency is greatly improved,and the statistical moment of model crosstalk can be conveniently obtained,so as to realize efficient and accurate prediction of electromagnetic compatibility performance of transmission lines,such as wire harness or circuit board microstrip line in complex systems,such as automobiles.