2013-12-16
Influence Analysis of Stochastic Translation of Transmission Lines Over Ground
By
Progress In Electromagnetics Research Letters, Vol. 44, 53-61, 2014
Abstract
This paper proposes a method for the quick estimation of the average voltages at terminal loads when the transmission line translate randomly and analyzes the sensitivities of the loads' voltages to the translation. Because nonuniform transmission lines can be approximated as n-cascaded uniform lines, the study of uniform lines is the basis. Based on the transmission-line equations, the equations are derived to estimate the average voltages, the voltage variations, and the sensitivity of the voltage to the random translation when transmission lines have random translation in their cross sections. With these equations, the average voltages at the loads, the probability distributions of the voltage variations, and the sensitivity of the voltage to the random translation can be obtained quickly. A two-wire line over the ground is studied by using the proposed method. The average voltages and the voltage variations' probability distributions agree well with those via the Monte Carlo (MC) method and the proposed method is more efficient. The results show that the sensitivities of the voltages at the loads to the random height increase with the terminal sources but decrease with the height.
Citation
Haiyan Xie, Jianguo Wang, Yong Li, and Chun Xuan, "Influence Analysis of Stochastic Translation of Transmission Lines Over Ground," Progress In Electromagnetics Research Letters, Vol. 44, 53-61, 2014.
doi:10.2528/PIERL13110203
References

1. Capraro, G. T. and C. R. Paul, "A probabilistic approach to wire coupling interference prediction," Proc. IEEE Int. Symp. Electromagn. Compat., 267-272, 1981.        Google Scholar

2. Paul, C. R. , "Sensitivity of crosstalk to variations in cable bundles," Proceedings of the 1987 IEEE International Symposium on EMC , 1987.        Google Scholar

3. Parkinson, E. R. and P. H. Levy, "Monte carlo analysis of the EMP response of a random-lay cable," IEEE Transactions on Nuclear Science, Vol. 29, No. 6, 1920-1923, 1982.
doi:10.1109/TNS.1982.4336471        Google Scholar

4. Ciccolella, A. and F. G. Canavero, "Statistical simulation of crosstalk in Bundles," Proc. 11th Int. Zurich Symp. EMC, 83-88, 1995.        Google Scholar

5. Ciccolella, A. and F. G. Canavero, "Stochastic prediction of wire coupling interference," Proceedings of IEEE International Symposium on Electromagnetic Compatibility , 51-56, 1995.
doi:10.1109/ISEMC.1995.523517        Google Scholar

6. Sun, S., G. Liu, J. L. Drewniak, et al. "Hand-assembled cable bundle modeling for crosstalk and common-mode radiation prediction," IEEE Transactions on Electromagnetic Compatibility, Vol. 49, No. 3, 708-718, 2007.
doi:10.1109/TEMC.2007.897142        Google Scholar

7. Xie, H., J. Wang, S. Li, H. Qiao, and Y. Li, "Analysis and efficient estimation of random wire bundles excited by plane-wave fields," Progress In Electromagnetics Research B, Vol. 35, 167-185, 2011.
doi:10.2528/PIERB11091508        Google Scholar

8. Beetner, D. G., H. Weng, M. Wu, et al. "Validation of worst-case and statistical models for an automotive EMC expert system," Proceedings of IEEE International Symposium on Electromagnetic Compatibility, 1-5, 2007.        Google Scholar

9. Wu, M., D. G. Beetner, T. H. Hubing, et al. "Estimation of the statistical variation of crosstalk in wiring harness," Proceedings of IEEE International Symposium on Electromagnetic Compatibility, 1-7, 2008.        Google Scholar

10. Wu, M., D. G. Beetner, T. H. Hubing, et al. "Statistical prediction of `reasonable worst-case crosstalk in cable bundles'," IEEE Transactions on Electromagnetic Compatibility, Vol. 51, No. 3, 842-851, 2009.
doi:10.1109/TEMC.2009.2026740        Google Scholar

11. Dong, X., H. Weng, D. G. Beetner, et al. "Approximation of worst case crosstalk at high," frequencies," IEEE Transactions on Electromagnetic Compatibility, Vol. 53, No. 1, 202-208, 2011.
doi:10.1109/TEMC.2010.2081676        Google Scholar

12. Shiran, S., B. Reiser, and H. Cory, "A probabilistic model for the evaluation of coupling between transmission lines," IEEE Transactions on Electromagnetic Compatibility, Vol. 35, No. 3, 387-393, 1993.
doi:10.1109/15.277313        Google Scholar

13. Pignari, S., D. Bellan, and L. D. Rienzo, "Statistical estimates of crosstalk in three-conductor transmission line," Proceedings of IEEE International Symposium on Electromagnetic Compatibility, 877-882, 2002.        Google Scholar

14. Bellan, D., S. Pignari, and G. Spadacini, "Characterisation of crosstalk in terms of mean value and standard deviation," IEE Proc. | Sci. Meas. Technol., Vol. 150, No. 6, 289-295, 2003.
doi:10.1109/15.385887        Google Scholar

15. Besnier P. , P. and P. Degauque, "Electromagnetic topology: Investigation of nonuniform transmission," line networks," IEEE Transactions on Electromagnetic Compatibility, Vol. 37, No. 2, 227-233, 1995.
doi:10.1109/15.618047        Google Scholar

16. Omid, M., Y. Kami, and M. Hayakawa, "Field coupling to nonuniform and uniform transmission lines," IEEE Transactions on Electromagnetic Compatibility, Vol. 39, No. 3, 201-211, 1997.        Google Scholar

17. Tesche , F. M., M. V. Ianoz, and T. Karlsson, "EMC Analysis Methods and Computational Models," Wiley, 1997.        Google Scholar

18. Baum, C. E., T. K. Liu, and F. M. Tesche, "On the analysis of general multiconductor transmission-line network," Interaction Notes 350, 1978.        Google Scholar