Analysis of Crosstalk Problem in Multi-Twisted Bundle of Multi-Twisted Wire Based on BSAS-BP Neural Network Algorithm and Multilayer Transposition Method
Keywords:
Beetle swarm antennae search (BSAS) method, back propagation neural network (BPNN), crosstalk, multi-twisted bundle of multi-twisted wire (MTB-MTW), multilayer transposition method, multiconductor transmission lines (MTLs)Abstract
Twisted wire used in complex systems has the ability to reduce electromagnetic interference, but crosstalk within the wire is not easy to obtain. This paper proposes a method to predict the crosstalk of multi-twisted bundle of multi-twisted wire (MTB-MTW). A neural network algorithm based on back propagation optimized by the beetle swarm antennae search method (BSAS-BPNN) is introduced to mathematically describe the relationship between the twist angle of the wire harness and the per-unit-length (p.u.l) parameter matrix. Considering the symmetry of the model, the relationship between the unresolved angle of the BSAS-BPNN algorithm and the p.u.l parameter matrix is processed by using the multilayer transposition method. Based on the idea of the cascade method and the finite-difference time-domain (FDTD) algorithm in Implicit-Wendroff format, the crosstalk of the wire is obtained. Numerical experiments and simulation results show that the new method proposed in this paper has better accuracy for the prediction of the model. The new method can be generalized to the MTB-MTW model with any number of wires. All theories provide preliminary theoretical basis for electromagnetic compatibility (EMC) design of high-band circuits.
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References
C. R. Paul, “A brief history of work in transmission lines for EMC applications,” IEEE Trans. Electromagn. Compat., vol. 49, no. 2, pp. 237-252, May 2007.
S. Chabane, P. Besnier, and M. Klingler, “A modified enhanced transmission line theory applied to multiconductor transmission lines,” IEEE Trans. Electromagn. Compat., vol. 59, no. 2, pp. 518-528, Apr. 2017.
Y. Wang, Y. S. Cao, D. Liu, R. W. Kautz, N. Altunyurt, and J. Fan, “A generalized multiplescattering method for modeling a cable harness with ground connections to a nearby metal surface,” IEEE Trans. Electromagn. Compat., vol. 61, no. 1, pp. 261-270, Feb. 2019.
C. P. Yang, W. Yan, Y. Zhao, Y. Chen, C. M. Zhu, and Z. B. Zhu, “Analysis on RLCG parameter matrix extraction for multi-core twisted cable based on back propagation neural network algorithm,” IEEE Access, vol. 7, pp. 126315- 126322, Aug. 2019.
O. Gassab and W. Y. Yin, “Characterization of electromagnetic wave coupling with a twisted bundle of twisted wire pairs (TBTWPs) above a ground plane,” IEEE Trans. Electromagn. Compat., vol. 61, no. 2, pp. 251-260, Feb. 2019.
C. D. Taylor and J. P. Castillo, “On the response of a terminated twisted-wire cable excited by a plane-wave electromagnetic field,” IEEE Trans. Electromagn. Compat., vol. EMC-22, no. 1, pp. 16- 19, Feb. 1980.
Z. Fei, Y. Huang, J. Zhou, and C. Song, “Numerical analysis of a transmission line illuminated by a random plane-wave field using stochastic reduced order models,” IEEE Access, vol. 5, pp. 8741-8751, May 2017.
Y. Yan, L. Meng, X. Liu, T. Jiang, J. Chen, and G. Zhang, “An FDTD method for the transient terminal response of twisted-wire pairs illuminated by an external electromagnetic field,” IEEE Trans. Electromagn. Compat., vol. 60, no. 2, pp. 435-443, Apr. 2018.
G. P. Veropoulos and P. J. Papakanellos, “A probabilistic approach for the susceptibility assessment of twisted-wire pairs excited by random plane-wave fields,” IEEE Trans. Electromagn. Compat., vol. 59, no. 3, pp. 926-969, June 2017.
G. Spadacini, F. Grassi, and S. A. Pignari, “Fieldto-wire coupling model for the common mode in random bundles of twisted-wire pairs,” IEEE Trans. Electromagn. Compat., vol. 57, no. 5, pp. 1246-1254, Oct. 2015.
O. Gassab, L. Zhou, W. Y. Yin, and H. Xie, “Modelling electromagnetic wave coupling and mode conversion effects in multitwisted bundle of twisted-wire pairs (MTB-TWP) above ground plane,” Int. J. Numer. Model. Electron. Netw. Devices Fields, 2018, doi: 10.1002/jnm.2539.
C. R. Paul, Analysis of Multiconductor Transmission Lines. Hoboken, NJ, USA: Wiley, 1994.
P. Manfredi, D. De Zutter, and D. V. Ginste, “Analysis of nonuniform transmission lines with an iterative and adaptive perturbation technique,” IEEE Trans. Electromagn. Compat., vol. 58, no. 3, pp. 859-867, June 2016.
G. Spadacini, ‘‘Numerical assessment of radiated susceptibility of twisted-wire pairs with random nonuniform twisting,” IEEE Trans. Electromagn. Compat., vol. 55, no. 5, pp. 956-964, Oct. 2013.
C. Jullien, P. Besnier, M. Dunand, and I. Junqua, “Advanced modeling of crosstalk between an unshielded twisted pair cable and an unshielded wire above a ground plane,” IEEE Trans. Electromagn. Compat., vol. 55, no. 1, pp. 183-194, Feb. 2013.
A. Shoory, M. Rubinstein, A. Rubinstein, and F. Rachidi, “Simulated NEXT and FEXT in twisted wire pair bundles,” In Proc. EMC Eur. Symp., York, U.K., pp. 266-271, Sep. 2011.
M. Tang and J. Mao, “A precise time-step integration method for transient analysis of lossy nonuniform transmission lines,” IEEE Trans. Electromagn Compat., vol. 50, no. 1, pp. 166-174, Feb. 2018.
A. Tatematsu, F. Rachidi, and M. Rubinstein, “A technique for calculating voltages induced on twisted-wire Pairs Using the FDTD method,” IEEE Trans. Electromagn. Compat., vol. 59, no. 1, pp. 301-304, Feb. 2017.
V. R. Kumar, B. K. Kaushik, and A. Patnaik, “An accurate FDTD model for crosstalk analysis of CMOS-Gate-Driven coupled RLC interconnects,” IEEE Trans. Electromagn. Compat., vol. 56, no. 5, pp. 1185-1193, Oct. 2014.
B. Cannas, A. Fanni, and F. Maradei, “A neural network approach to predict the crosstalk in nonuniform multi-conductor transmission lines,” IEEE In. Symp. on Circuits. and Systems, PhoenixScottsdale, AZ, USA, pp. 573-576, May 2002.
F. Dai, G. H. Bao, and D. L. Su, “Crosstalk prediction in non-uniform cable bundles based on neural network,” Proceedings of the 9th in Symp. on Antennas, Propagation and EM Theory, Guangzhou, China, pp. 1043-1046, 2010.
J. Wang and H. Chen, “BSAS: Beetle swarm antennae search algorithm for optimization problems,” arXiv preprint. arXiv:1807.10470, 2018.018, 51(11):60-66.
Q. Wu, Z. Ma, G. Xu, S. Li, and D. Chen, “A novel neural network classifier using beetle antennae search algorithm for pattern classification,” IEEE Access, vol. 7, pp. 64686-64696, May 2019.
L. Dou and J. Dou, “Time-domain analysis of lossy multiconductor transmission lines based on the Lax–Wendroff technique,” Analog Integrated Circuits and Signal Processing, vol. 68, no. 1, pp. 85-92, 2011.
C. Che, H. P. Zhao, Y. D. Guo, J. Hu, and H. Kim, “Investigation of segmentation method for enhancing high frequency simulation of Q3D extractor,” IEEE In Conference on Computational Electromagn (ICCEM), Shanghai, China, Mar. 2019.
CST Microwave Studio, ver. 2008, Computer Simulation Technology, Framingham, MA, 2008.