Journal of Jilin University(Engineering and Technology Edition) ›› 2021, Vol. 51 ›› Issue (2): 747-753.doi: 10.13229/j.cnki.jdxbgxb20191009

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

Kai-yu YANG1(),Wei LIU1,Tian-hao WANG2(),Xian-li YU3,Yin-han GAO1,Xi-lai MA4   

  1. 1.College of Automotive Engineering，Jilin University，Changchun 130022，China
    2.College of Instrument Science and Electrical Engineering，Jilin University，Changchun 130026，China
    3.College of Geo-Exploration Science and Technology，Jilin University，Changchun 130026，China
    4.Commerical Vehicle Institute Electronics Department，FAW Jiefang，Changchun 130011，China
  • Received:2019-11-02 Online:2021-03-01 Published:2021-02-09
  • Contact: Tian-hao WANG E-mail:yangky@jlu.edu.cn;wangtianhao@jlu.edu.cn

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Abstract:

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.

Key words: multi-conductor transmission line, crosstalk, random response surface method, vehicle electronics, electromagnetic compatibility

CLC Number: 

  • TM930.11

Fig.1

Three-conductor transmission line unit length equivalent circuit"

Fig.2

Three-conductor transmission line actual circuit model"

Fig.3

Near-end crosstalk voltage of fixed parameter circuit model obtained by MTL equation calculation and CST software simulation respectively"

Fig.4

Near-end crosstalk voltage curves obtained by MCS"

Fig.5

Spatial transformation and geometric features of MPP"

Fig.6

MPP-SRSM calculation steps"

Table 1

Comparison of different reliability methods in frequency bands：103~104?Hz"

项目FORMMPP-SRSMMCS
P=(Vmax>10.5 mV)0.01020.00830.0084
计算步骤(函数调用次数)172172+20100000

Table 2

Comparison of different reliability methods in frequency bands：105~106?Hz"

项目FORMMPP-SRSMMCS
P=(Vmax>103 mV)0.00410.00360.0036
计算步骤(函数调用次数)6969+20100000

Fig.7

Local statistical moment calculated by MPP-SRSM: mean"

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