volume | PIER Journals

Abstract

The Method of Moments (MoM) is a non-embedded uncertainty analysis method that has been widely used in Electromagnetic Compatibility (EMC) simulations in recent years due to its two major advantages of high computational efficiency and immunity from dimensional disaster. A random variable sensitivity calculation method based on the Complex Number Method of Moments (CN-MoM) is proposed in this paper to improve the accuracy of the MoM in standard deviation prediction and thereby enhance the credibility of EMC simulation uncertainty analysis results. In the parallel cable crosstalk prediction example in the literature, the result of the Monte Carlo Method (MCM) is used as the standard, and the accuracy of the new method proposed in this paper is quantitatively verified using the Feature Selective Validation (FSV) method. Compared with the MoM, the proposed method can significantly improve the calculation accuracy of the standard deviation results without sacrificing simulation efficiency.

1. Xie, Haiyan, John F. Dawson, Jiexiong Yan, Andy C. Marvin, and Martin P. Robinson, "Numerical and analytical analysis of stochastic electromagnetic fields coupling to a printed circuit board trace," IEEE Transactions on Electromagnetic Compatibility, Vol. 62, No. 4, 1128-1135, 2020.

2. Wu, Tzong-Lin, Frits Buesink, and Flavio Canavero, "Overview of signal integrity and EMC design technologies on PCB: Fundamentals and latest progress," IEEE Transactions on Electromagnetic Compatibility, Vol. 55, No. 4, 624-638, 2013.

3. Manfredi, Paolo, Dries Vande Ginste, Daniël De Zutter, and Flavio G. Canavero, "Generalized decoupled polynomial chaos for nonlinear circuits with many random parameters," IEEE Microwave and Wireless Components Letters, Vol. 25, No. 8, 505-507, 2015.

4. Zhang, Yin, Cheng Liao, Rui Huan, Yuping Shang, and Haijing Zhou, "Analysis of nonuniform transmission lines with a perturbation technique in time domain," IEEE Transactions on Electromagnetic Compatibility, Vol. 62, No. 2, 542-548, 2020.

5. Manfredi, Paolo, Dries Vande Ginste, Daniël De Zutter, and Flavio G. Canavero, "On the passivity of polynomial chaos-based augmented models for stochastic circuits," IEEE Transactions on Circuits and Systems I: Regular Papers, Vol. 60, No. 11, 2998-3007, 2013.

6. Manfredi, Paolo and Flavio G. Canavero, "General decoupled method for statistical interconnect simulation via polynomial chaos," 2014 IEEE 23rd Conference on Electrical Performance of Electronic Packaging and Systems, 25-28, Oct. 2014.

7. Bellan, Diego and Sergio A. Pignari, "Efficient estimation of crosstalk statistics in random wire bundles with lacing cords," IEEE Transactions on Electromagnetic Compatibility, Vol. 53, No. 1, 209-218, 2011.

8. Spadacini, Giordano and Sergio A. Pignari, "Numerical assessment of radiated susceptibility of twisted-wire pairs with random nonuniform twisting," IEEE Transactions on Electromagnetic Compatibility, Vol. 55, No. 5, 956-964, 2013.

9. Jullien, Charles, Philippe Besnier, Michel Dunand, and Isabelle Junqua, "Advanced modeling of crosstalk between an unshielded twisted pair cable and an unshielded wire above a ground plane," IEEE Transactions on Electromagnetic Compatibility, Vol. 55, No. 1, 183-194, 2013.

10. Wang, Tianhao, Yinhan Gao, Le Gao, Chang-Ying Liu, Juxian Wang, and Zhanyang An, "Statistical analysis of crosstalk for automotive wiring harness via polynomial chaos method," Journal of the Balkan Tribological Association, Vol. 22, No. 2, 1503-1517, 2016.

11. Bai, Jinjun, Gang Zhang, Di Wang, Alistair P. Duffy, and Lixin Wang, "Performance comparison of the SGM and the SCM in EMC simulation," IEEE Transactions on Electromagnetic Compatibility, Vol. 58, No. 6, 1739-1746, 2016.

12. Edwards, Robert Stephen, "Uncertainty analyses in computational electromagnetism," University of York, UK, 2009.

13. Bai, Jinjun, Gang Zhang, Lixin Wang, and Tianhao Wang, "Uncertainty analysis in EMC simulation based on improved method of moments," Applied Computational Electromagnetics Society Journal, Vol. 31, No. 1, 66-71, 2016.

14. Fei, Zhouxiang, Yi Huang, Jiafeng Zhou, and Qian Xu, "Uncertainty quantification of crosstalk using stochastic reduced order models," IEEE Transactions on Electromagnetic Compatibility, Vol. 59, No. 1, 228-239, 2017.

15. Ren, Ziyan, Jiangang Ma, Yanli Qi, Dianhai Zhang, and Chang-Seop Koh, "Managing uncertainties of permanent magnet synchronous machine by adaptive Kriging assisted weight index Monte Carlo simulation method," IEEE Transactions on Energy Conversion, Vol. 35, No. 4, 2162-2169, 2020.

16. Bai, Jinjun, Jingchao Sun, and Ning Wang, "Convergence determination of EMC uncertainty simulation based on the improved mean equivalent area method," Applied Computational Electromagnetics Society Journal, Vol. 36, No. 11, 1446-1452, 2021.

17. Bai, Jinjun, Mingzhao Wang, and Xiaolong Li, "Uncertainty analysis method of computational electromagnetics based on clustering Method of Moments," Progress In Electromagnetics Research M, Vol. 114, 37-47, 2022.
doi:10.2528/PIERM22071703

18. Cho, Heyrim, D. Venturi, and G. E. Karniadakis, "Karhunen-Loève expansion for multi-correlated stochastic processes," Probabilistic Engineering Mechanics, Vol. 34, 157-167, 2013.

19. Kale, Mehmet Cemil, "A general biorthogonal wavelet based on Karhunen-Loéve transform approximation," Signal, Image and Video Processing, Vol. 10, No. 4, 791-794, 2016.

20. Nielsen, Eric J. and William L. Kleb, "Efficient construction of discrete adjoint operators on unstructured grids using complex variables," AIAA Journal, Vol. 44, No. 4, 827-836, 2006.
doi:10.2514/1.15830

21. Bai, Jinjun, Jingchao Sun, and Ning Wang, "Convergence determination of EMC uncertainty simulation based on the improved mean equivalent area method," Applied Computational Electromagnetics Society Journal, Vol. 36, No. 11, 1446-1452, Nov. 2021.

22. Bai, Jinjun, Gang Zhang, Di Wang, Alistair P. Duffy, and Lixin Wang, "Performance comparison of the SGM and the SCM in EMC simulation," IEEE Transactions on Electromagnetic Compatibility, Vol. 58, No. 6, 1739-1746, Dec. 2016.

23. IEEE Standard for Validation of Computational Electromagnetics Computer Modeling and Simulations, IEEE STD 15971-2008, 1-41, 2008.

24. IEEE Recommended Practice for Validation of Computational Electromagnetics Computer Modeling and Simulations, IEEE STD 15972-2010, 1-124, 2011.

Dr. Jinjun Bai

Dr. Bing Hu

Dr. Haichuan Cao

Dr. Jianshu Zhou