A fast stroud-based collocation method for statistically characterizing EMI/EMC phenomena on complex platforms

IEEE Transactions on Electromagnetic Compatibility

Volumn 51, Issue 2, 2009, Pages 301-311

  Baǧi, Hakan ^a   Yücel, Abdulkadir C ^a   Hesthaven, Jan S ^b   Michielssen, Eric ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

^b BROWN UNIVERSITY   (United States)

Author keywords

Electromagnetic coupling; Electromagnetic interference and compatibility (EMI EMC); Fast solvers; Hybrid simulators; Stochastic collocation; Stroud integration rules; Time domain integral equations

Indexed keywords

ELECTROMAGNETIC INTERFERENCE AND COMPATIBILITY (EMI/EMC); FAST SOLVERS; HYBRID SIMULATORS; STOCHASTIC COLLOCATION; STROUD INTEGRATION RULES; TIME-DOMAIN INTEGRAL EQUATIONS;

CABLES; CIRCUIT SIMULATION; ELECTROMAGNETIC COMPATIBILITY; ELECTROMAGNETIC COUPLING; ELECTROMAGNETIC PULSE; ELECTROMAGNETIC WAVE INTERFERENCE; INTEGRAL EQUATIONS; MAGNETIC MATERIALS; PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES; RANDOM VARIABLES; SIMULATORS; TIME DOMAIN ANALYSIS;

ELECTROMAGNETISM;

EID: 67349163772     PISSN: 00189375     EISSN: None     Source Type: Journal    
DOI: 10.1109/TEMC.2009.2015056     Document Type: Article

References (39)

1. S. Guttowski, S. Weber, E. Hoene, W. John, and H. Reichl, "EMC issues in cars with electric drives," in Proc. IEEE Int. Symp. EMC, 2003, vol. 2, pp. 777-782.
2. S. Frei, R. G. Jobava, and D. Topchishvili, "Complex approaches for the calculation of EMC problems of large systems," in Proc. IEEE Int. Symp. EMC, 2004, vol. 3, pp. 826-831.
3. R. Kitchen, RF and Microwave Radiation Safety, 2nd ed. Woburn, MA: Newnes, 2001.
4. S. A. Pignari, "Statistics and EMC," Radio Sci. Bull., no. 316, pp. 13-26, Mar. 2006.
5. D. Bellan and S. A. Pignari, "A probabilistic model for the response of an electrically short two-conductor transmission line driven by a random plane wave field," IEEE Trans. Electromagn. Compat., vol. 43, no. 2, pp. 130-139, May 2003.
6. D. Middleton, "Statistical-physical models of electromagnetic interference," IEEE Trans. Electromagn. Compat., vol. 19, no. 3, pp. 106-127, Aug. 1977.
7. W. R. Lauber and J. M. Bertrand, "Statistics of motor vehicle ignition noise at VHF/UHF," IEEE Trans. Electromagn. Compat., vol. 41, no. 3, pp. 257-259, Aug. 1999.
8. D. A. Hill, "Plane wave integral representation for fields in reverberation chambers," IEEE Trans. Electromagn. Compat., vol. 40, no. 3, pp. 209-217, Aug. 1998.
9. D. A. Hill and J. M. Ladbury, "Spatial-correlation functions of fields and energy density in a reverberation chamber," IEEE Trans. Electromagn. Compat., vol. 44, no. 1, pp. 95-101, Feb. 2002.
10. R. Holland and R. H. S. John, Statistical Electromagnetics. Philadelphia, PA: Taylor & Francis, 1999.
11. C. Chauviere, J. S. Hesthaven, and L. Lurati, "Computational modeling of uncertainty in time-domain electromagnetics," SIAM J. Sci. Statist. Comput., vol. 28, pp. 751-775, 2006.
12. C. Chauviere, J. S. Hesthaven, and C. L. Wilcox, "Efficient computation of RCS from scatterers of uncertain shapes," IEEE Trans. Antennas Propag., vol. 55, no. 5, pp. 1437-1448, May 2007.
13. L. R. A. X. de Menezes, A. Ajayi, C. Christopoulos, P. Sewell, and G. A. Borges, "Efficient computation of stochastic electromagnetic problems using unscented transforms," IET Sci. Meas. Technol., vol. 2, no. 2, pp. 88-95, Mar. 2008.
14. J. B. J. Pereira, L. R. A. X. de Menezes, and G. A. Borges, "Statistical analysis of induced ground voltage using the TLM+UT method," in Proc. IEEE Int. Symp. EMC, Aug. 2008, pp. 1-4.
15. A. V. Sathanur, R. Chakraborty, and V. Jandhyala, "Statistical analysis of RF circuits using combined circuit simulator-full wave field solver approach," in Proc. Int. Conf. Comput. Aided Design., 2007, pp. 11-17.
16. H. Bagci, A. E. Yilmaz, J. M. Jin, and E. Michielssen, "Fast and rigourous analysis of EMC/EMI phenomena on electrically large and complex cable-loaded structures," IEEE Trans. Electromagn. Compat. vol. 49, no. 2, pp. 361-381, May 2007.
17. H. Bagci, A. E. Yilmaz, and E. Michielssen, "A time-domain integral-equation based hybrid simulator for EMI analysis of twisted cables on complex platforms," in Proc. IEEE AP-S. Int. Symp., 2007, pp. 4557-4560.
18. H. Bagci, A. E. Yilmaz, and E. Michielssen, "Full TDIE-based modeling of electromagnetic coupling into lossy multiconductor cables on electrically large platforms," presented at the USNC/URSI Nat. Radio Sci. Meet., Boulder, CO, 2005.
19. H. Bagci, A. E. Yilmaz, and E. Michielssen, "FFT-accelerated MOT-based solution of time-domain BLT equations," in Proc. IEEE AP-S. Int. Symp., 2006, pp. 1175-1179.
20. H. Bagci, A. E. Yilmaz, A. C. Cangellaris, and E. Michielssen, "Analysis of transient electromagnetic coupling into platform-mounted cables using the time-domain adaptive integral method," presented at the USNC/URSI Nat. Radio Sci. Meet., Boulder, CO, 2004.
21. A. E. Yilmaz, D. S. Weile, B. Shanker, J.-M. Jin, and E. Michielssen, "Fast analysis of transient scattering in lossy media," IEEE Antennas Wireless Propag. Lett., vol. 1, no. 1, pp. 14-17, 2002.
22. A. E. Yilmaz, J.-M. Jin, and E. Michielssen, "Time domain adaptive integral method for surface integral equations," IEEE Trans. Antennas Propag., vol. 52, no. 10, pp. 2692-2708, Oct. 2004.
23. A. E. Yilmaz, J.-M. Jin, and E. Michielssen, "A parallel FFT accelerated transient field-circuit simulator," IEEE Trans. Microw. Theory Tech., vol. 53, no. 9, pp. 2851-2865, Sep. 2005.
24. H. Bagci, A. E. Yilmaz, and E. Michielssen, "A parallel time-domain simulator for EMI/EMC analysis of electrically large structures," presented at the EMTS, Ottawa, ON, Canada, 2007.
25. A. H. Stroud, "Remarks on the disposition of points in numerical integration formulas," Math. Tables Other Aids Comput., vol. 11, no. 60, pp. 257-261, Oct. 1957.
26. D. Xiu and J. S. Hesthaven, "High-order collocation methods for differential equations with random inputs," J. Sci. Comput., vol. 27, no. 3, pp. 1118-1139, 2005.
27. D. Xiu, "Numerical integration formulas of degree two," Appl. Num. Math., vol. 58, no. 10, pp. 1515-1520, 2008.
28. D. Xiu, "Fast numerical methods for stochastic computations: A review," Commun. Comput. Phys., vol. 5, no. 2-4, pp. 242-272, Feb. 2009.
29. G. S. Fishman, Monte Carlo: Concepts, Algorithms, and Applications Berlin, Germany: Springer-Verlag, 1995.
30. P. J. Davis and P. Rabinowitz, Numerical Integration. London, U.K.: Blaisdell, 1967.
31. R. G. Ghanem and P. D. Spanos, Stochastic Finite Elements: A Spectral Approach. New York: Dover, 1991.
32. F. Olyslager, Electromagnetic Waveguides and Transmission Lines. Oxford, U.K.: Oxford Univ. Press, 1999.
33. C. R. Paul, Analysis of Multiconductor Transmission Lines. New York: Wiley, 1994.
34. I. Maio and F. G. Canavero, "Analysis of crosstalk and field coupling to lossy MTL's in a SPICE environment," IEEE Trans. Electromagn. Compat., vol. 38, no. 3, pp. 221-229, Aug. 1996.
35. I. Maio and F. G. Canavero, "Transient field coupling and crosstalk in lossy lines with arbitrary loads," IEEE Trans. Electromagn. Compat. vol. 37, no. 4, pp. 599-606, Nov. 1995.
36. A. H. Stroud, Approximate Calculation of Multiple Integrals. Englewood Cliffs, NJ: Prentice-Hall, 1971.
37. V. I. Krylov, Approximate Calculation of Integrals. New York: Macmillan, 1962.
38. E. F. Vance, Coupling to Shielded Cables. New York: Wiley, 1978.
39. W. E. Byerly, Elements of the Integral Calculus, With a Key to the Solution of Differential Equations, and a Short Table of Integrals. New York: Stechert-Hafner, 1941.