Uncertainty Analysis of the Conducted Interferences in a Power Converter

M. Ferber, C. Vollaire, L. Krähenbühl, J. A. Vasconcelos


A new methodology to analyze electrical systems in the time and frequency domain containing a large number of uncertain parameters is presented. The methodology is based on screening and design of experiments to build surrogate reduced models at a well specified set of frequency values. As an example, the conducted interferences of a Power Converter with uncertainties in its component values are analyzed. The model has a large number of parameters, which are described by Probability Density Functions (PDF). The output considered is a standard measurement of conducted interferences and its PDF is rapidly determined, if compared to the Monte Carlo (MC) approach.

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Redl, R.; "Electromagnetic environmental impact of power electronics equipment ," Proceedings of the IEEE , vol.89, no.6, pp.926-938, Jun 2001.



Dongbin Xiu; Kevrekidis, I.G.; Ghanem, R.; , "An equation-free, multiscale approach to uncertainty quantification," Computing in Science & Engineering , vol.7, no.3, pp. 16- 23, May-June 2005

Moro, E.A.; Todd, M.D.; Puckett, A.D.; , "Experimental Validation and Uncertainty Quantification of a Single-Mode Optical Fiber Transmission Model," Lightwave Technology, Journal of , vol.29, no.6, pp.856-863, March15, 2011

Gaignaire, R.; Scorretti, R.; Sabariego, R.V.; Geuzaine, C.; , "Stochastic Uncertainty Quantification of Eddy Currents in the Human Body by Polynomial Chaos Decomposition," Magnetics, IEEE Transactions on , vol.48, no.2, pp.451-454, Feb. 2012

aignaire, . Crevecoeur, . Dupr , . Sa ariego, . . Dular, P. eu aine, C. , Stochastic Uncertainty Quantification of the Conductivity in EEG Source Analysis by Using Polynomial Chaos Decomposition," Magnetics, IEEE Transactions on , vol.46, no.8, pp.3457-3460, Aug. 2010

Preston, J.S.; Tasdizen, T.; Terry, C.M.; Cheung, A.K.; Kirby, R.M.; , "Using the Stochastic Collocation Method for the Uncertainty Quantification of Drug Concentration Due to Depot Shape Variability," Biomedical Engineering, IEEE Transactions on , vol.56, no.3, pp.609-620, March 2009

Beddek, K.; Clenet, S.; Moreau, O.; Costan, V.; Le Menach, Y.; Benabou, A.; , "Adaptive Method for Non-Intrusive Spectral Projection—Application on a Stochastic Eddy Current NDT Problem," Magnetics, IEEE Transactions on , vol.48, no.2, pp.759-762, Feb. 2012

Tartakovsky, D.M.; Dongbin Xiu; , "Guest Editors' Introduction: Stochastic Modeling of Complex Systems," Computing in Science & Engineering , vol.9, no.2, pp.8-9, March-April 2007

Osnes, H.; Sundnes, J.; , "Uncertainty Analysis of Ventricular Mechanics Using the Probabilistic Collocation Method," Biomedical Engineering, IEEE Transactions on , vol.59, no.8, pp.2171-2179, Aug. 2012

Freitas, S.C.; Trigo, I.F.; Bioucas-Dias, J.M.; Gottsche, F.-M.; , "Quantifying the Uncertainty of Land Surface Temperature Retrievals From SEVIRI/Meteosat," Geoscience and Remote Sensing, IEEE Transactions on , vol.48, no.1, pp.523-534, Jan. 2010

Hansen, N.; Niederberger, A.S.P.; Guzzella, L.; Koumoutsakos, P.; , "A Method for Handling Uncertainty in Evolutionary Optimization With an Application to Feedback Control of Combustion," Evolutionary Computation, IEEE Transactions on , vol.13, no.1, pp.180-197, Feb. 2009

Hildebrand, R.; Gevers, M.; , "Quantification of the variance of estimated transfer functions in the presence of undermodeling," Automatic Control, IEEE Transactions on , vol.49, no.8, pp. 1345- 1350, Aug. 2004

Silly-Carette, J.; Lautru, D.; Wong, M.-F.; Gati, A.; Wiart, J.; Fouad Hanna, V.; , "Variability on the Propagation of a Plane Wave Using Stochastic Collocation Methods in a Bio Electromagnetic Application," Microwave and Wireless Components Letters, IEEE , vol.19, no.4, pp.185-187, April 2009

van Dijk, N.; , "Numerical tools for simulation of radiated emission testing and its application in uncertainty studies," Electromagnetic Compatibility, IEEE Transactions on , vol.44, no.3, pp. 466- 470, Aug 2002

Stievano, I.S.; Manfredi, P.; Canavero, F.G.; , "Stochastic Analysis of Multiconductor Cables and Interconnects," Electromagnetic Compatibility, IEEE Transactions on , vol.53, no.2, pp.501-507, May 2011

S. 1. Julier and 1. K. Ulmann, "Unscented filtering and non-linear estimation", Proc. IEEE, vol. 92(3), pp. 401-422, 2004.

. de Mene es, A. Ajayi, C. Christopoulos, P. Sewell, . A. Borges, "Efficient Computation of Stochastic Electromagnetic Problems Using Unscented Transforms``, IET Science, Measurement & Technology, no.2 pp.88-95, 2008.

L. R. A X. de Menezes et ai, "Statistics of the shielding effectiveness of cabinets", in Proc. ESA Workshop on Aerospace EMC, Florence, Session 8, paper 1, 6 pages, 2009.

A Ajayi et al, "Direct computation of statistical variations in EM problems", IEEE Trans. Electromagn. Compat., vol. 50(2), pp. 325-332,2008.

Papoulis, A.: "Pro a ility, random varia les, and stochastic processes,`` Mc raw-Hill, New York, 1991, 3rd Edition.

S. J. Julier and J. K. Uhlmann, "Unscented filtering and nonlinear estimation``, Proc. IEEE, vol. 92, n. 3, pp. 401-402, March 2004

. . A. X. de Mene es et al, "Efficient computation of stochastic EM pro lems using unscented transforms,`` IET Sci. Meas. Technol., vol 2(2), pp. 88-95, 2008.

. . A. X. de Mene es et al, "Statistics of the shielding effectiveness of ca inets,`` in Proc. ESA Workshop on Aerospace EMC, Florence, Session 8, paper 1, 6 pages, 2009.

ORTEGA P., Abraham E.; MENEZES, Leonardo R.A.X. de and ABDALLA JR., Humberto. Statistical modeling of manufacturing uncertainties for microstrip filters. J. Microw. Optoelectron. Electromagn. Appl. [online]. 2011, vol.10, n.1 [cited 2012-10-18], pp. 179-202.

Bagci, H.; Yucel, A.C.; Hesthaven, J.S.; Michielssen, E.; , "A Fast Stroud-Based Collocation Method for Statistically Characterizing EMI/EMC Phenomena on Complex Platforms," Electromagnetic Compatibility, IEEE Transactions on , vol.51, no.2, pp.301-311, May 2009

Heyde, C. 2006. Central Limit Theorem. Encyclopedia of Actuarial Science.

Veronica Czitrom, One-Factor-at-a-Time Versus Designed Experiments, The American Statistician, May 1999, Vol. 53, No. 2

Del Vecchio, R. J. (2007) Design of Experiments, in Handbook of Vinyl Formulating, Second Edition (ed R. F. Grossman), John Wiley & Sons, Inc., Hoboken, NJ, USA.

Heeb, H.; Ruehli, A.E.; , "Three-dimensional interconnect analysis using partial element equivalent circuits," Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on , vol.39, no.11, pp.974-982, Nov 1992.

Brennan, Pierce A.; Raver, Norman; Ruehli, Albert E.; , "Three-Dimensional Inductance Computations with Partial Element Equivalent Circuits," IBM Journal of Research and Development , vol.23, no.6, pp.661-668, Nov. 1979.

Bank, R. E., W. C. Coughran, Jr., W. Fichtner, E. Grosse, D. Rose, and R.Smith, "Transient Simulation of Silicon Devices and Circuits," IEEE Trans. CAD, 4 (1985), pp. 436–451.

Shampine, L. F. and M. E. Hosea, "Analysis and Implementation of TR-BDF2," Applied Numerical Mathematics 20, 1996.

Iman, R. L. 2008. Latin Hypercube Sampling. Encyclopedia of Quantitative Risk Analysis and Assessment.

Michael Stein, Large Sample Properties of Simulations Using Latin Hypercube Sampling, Technometrics, Vol. 29, Iss. 2, 1987

DOI: http://dx.doi.org/10.1590/S2179-10742013000200016


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