Stochastic Radiation Model for Cable Bundle with Random Wires
关键词:
Cable bundle, Electromagnetic Compatibility (EMC), Common-Mode (CM) current, radiation, statistics, stochastic-model摘要
Cable bundle is often the main radiation structure due to its length in automotive electrical or electronic systems. Random wire positions in a cable bundle is a challenge for the modeling in perspective of Electromagnetic Compatibility (EMC). This work addresses the uncertainty property of a cable bundle due to its random wire positions, through a stochastic-model approach. Random wire position distributions in a bundle adopt Gaussian norm. A spline interpolate function is used to improve the continuity of wires along the bundle. To calculate the common-mode (CM) current on the bundle, the composed non-uniform wires are modeled by cascaded uniform segments or Chebyshev Expansion Method based smooth lines. Further CM current based bundle radiation is calculated using electric-dipole model. Proposed modeling methodology is assessed by comparing CM current and radiation predictions versus measurement data and theoretical results. Predictions agree well with measurements especially in statistics.
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参考
Vehicles, Boats and Internal Combustion EnginesRadio Disturbance Characteristics – Limits and Methods of Measurements for the Protection of On-board Receivers, CISPR 25, ed. 3, 2007.
C. R. Paul, Analysis of Multiconductor Transmission Lines, John Wiley & Sons, Inc., 2007.
S. Shiran, B. Reiser, and H. Cory, “A probabilistic model for the evaluation of coupling between transmission lines,” IEEE Trans. Electromagn. Compat., vol. 35, no. 3, pp. 387-393, Aug. 1993.
S. Salio, F. Canavero, D. Lecointe, and W. Tabbara, “Crosstalk prediction on wire bundles by kriging approach,” IEEE Int. Symp. Electrom. Compat., Washington, pp. 197-202, Aug. 2000.
S. Sun, G. Liu, J. L. Drewniak, D. J. Pommerenke, “Hand-assembled cable bundle modeling for crosstalk and common-mode radiation prediction,” IEEE Trans. Electrom. Compat., vol. 49, no. 3, pp. 708-718, 2007.
M. Khalaj-Amirhosseini, “Analysis of coupled nonuniform transmission lines using Taylor series expansion,” IEEE Trans. Electrom. Compat., vol. 48, no. 3, pp. 594-600, Aug. 2006.
F. Y. Chang, “Transient simulation of frequencydependent nonuniform coupled lossy transmission lines,” IEEE Trans. Comp. Pack. Manuf. Tech., vol. 17, no. 1, pp. 3-14, Feb. 1994.
G. Antonini, “A dyadic Green’s function based method for the transient analysis of lossy and dispersive multiconductor transmission lines,” IEEE Trans. Microwave Theory Tech., vol. 56, no. 4, pp. 880-895, Apr. 2008.
M. T. Frederick, V. I. Michel, and K. Torbjörn, EMC Analysis Methods and Computation Models, John Wiley & Sons, Inc., 1997.
O. A. Palusinski and A. Lee, “Analysis of transients in nonuniform and uniform multiconductor transmission lines,” IEEE Trans. Microwave Theory Tech., vol. 37, no. 1, pp. 127-138, Jan. 1989.
M. Gonser, C. Keller, J. Hansen, and R. Weigel, “Advanced simulations of automotive EMC measurement setups using stochastic cable bundle models,” 2010 Asia-Pacific Int. Symp. Electrom. Compat., Beijing, Apr. 2010.
C. R. Paul, Introduction to Electromagnetic Compatibility, New York: Wiley & Sons, Inc., 1992.
N. S. Nahman and D. R. Holt, “Transient analysis of coaxial cables using the skin effect approximation A+B s ,” IEEE Trans. On Circuit Theory., vol. CT-19, pp. 443-451, Sept. 1972.
F. Y. Chang, “Transient simulation of non-uniform coupled lossy transmission lines characterized with frequency-dependent parameters, Part : Waveform relaxation analysis,” IEEE Trans. Circuits and Syst., vol. 39, pp. 585-603, Aug. 1992.
N. G. Ushakov, Density of a Probability Distribution, Encyclopedia of Mathematics, Springer, 2001.
D. Zwillinger and K. Stephan, CRC Standard Probability and Statistics Table and Formula, CRC Press, 2010.
