V. A. Niemela, H. A. Owen-jr, T. G. Wilson17-]-v, H. A. Niemela, T. G. Owen-jr et al., Cross-coupled-secondaries model for multiwinding transformers with parameter values calculated from short-circuit impedancesFrequency-independent-element cross-coupledsecondaries model for multiwinding transformersEnhanced cross-coupled-secondaries model for multiwinding transformersLa modélisation des transformateursDes schémas équivalents pour les circuits couplés multienroulements, Exposé, séminaire "Les transformateurs et inductances de l'électronique de puissance" (SEE), pp.822-830, 1990.

L. Dixon, Deriving the equivalent electrical circuit from the magnetic device physical propertiesSMPS Simulation with SPICE 3 (chap. 2: SPICE Modeling of magnetic components, Unitrode Corporation seminar, p.773

J. Wang, A. F. Witulski, J. L. Vollin, T. K. Phelps, G. I. Cardwell et al., Derivation, calculation and measurement of parameters for a multi-winding transformer electrical model High-Fidelity Magnetic Equivalent Circuit Model for an Axisymmetric Electromagnetic Actuator Reduced-Order Modeling of High-Fidelity Magnetic Equivalent CircuitsIntegrating a model for high frequency magnetic components in a power electronics CAD systemA full procedure to model high frequency transformer windings, IEEE APEC '99 Conference, p.2847, 1994.

J. J. Laeuffer31-]-d, . J. Wilcox-d, M. Wilcox, D. J. Condon, T. P. Leonard et al., La propagation de l'énergie dans les transformateurs et leurs schémas équivalentsLes transformateurs et inductances de l'électronique de puissance", journée d'études SEE, 29 septTheory of transformer modelling using modal analysisTime-domain modelling of power transformers using modal analysis, IEE Proc. Electr. Power Appl, p.612344, 1998.

D. J. Wilcox, T. P. Mchale, D. J. Wilcox, W. G. Hurley, T. P. Mchale et al., Modified theory of modal analysis for the modelling of multiwinding transformersApplication of modified modal theory in the modelling of practical transformers Estimation of the Model Parameters in Equivalent Circuit Models of Potential Transformers " [36] Vahid Rashtchi AE Ebrahim Rahimpour Using a genetic algorithm for parameter identification of transformer Hybrid modelling of inhomogeneous transformer windings for very fast transient overvoltage studies, N°6, pp.157-163, 1992.

]. P. Bidan, C. Neacsu, G. Montseny, T. Mansouri, M. Bettayeb et al., Lebey « Modèle pseudo-différentiel d'une bobine à noyau de fer et simulation par réalisation diffusive ». NUMELEC'2000 [40] L.Laudebat, P.Bidan « Identification sous Représentation Diffusive Introduction à la prise en compte des non-linéarités Vector Fitting fractional system identification using particle swarm optimization Rational approximation of frequency domain responses by vector fitting, Applied Mathematics and Computation IEEE Trans. Power Deliv, vol.206, issue.14, pp.510-520, 1999.

C. Wang, M. ;. Xu, . Lu, . Bing, and F. C. Lee, Center for Power Electronics Systems New Architecture for MHz Switching Frequency PFC

B. Becker, H. Grotstollen, and L. Heinemann, Computer aided design and modeling of high frequency magnetic components, Proceedings of 1995 IEEE Applied Power Electronics Conference and Exposition, APEC'95, p.48, 1995.
DOI : 10.1109/APEC.1995.468970

F. Philip, L. Okyere, and . Heinemann, An Advanced SPICE-Compatible Model for High Frequency Multiwinding Transformers, 1999.

X. Margueron, J. Keradec, P. Fouassier, J. P. Keradec, and J. L. Schanen, Frédéric Robert, Modélisation et simulation de transformateurs pour alimentations à découpageEquivalent circuit for transformers based on onedimensional propagation: accounting for multilayer structure of windings and ferrite lossesModelling and design of high frequency planar transformers, Thèse en Modélisation des transformateurs pour convertisseurs hautes fréquences Thèse en 1991 [5] Xavier Margueron, Elaboration sans prototypage du circuit PESC '95 Record, pp.14-22, 2000.

J. P. Keradec, B. Cogitore, and F. Blache, Power transfer in a two-winding transformer: from 1-D propagation to an equivalent circuit, Thèse Presented at the International Conference on Power Systems Transients (IPST'05) in Montreal, Canada on Paper No, pp.274-280, 1996.
DOI : 10.1109/20.477583

E. Laveuve, J. P. Keradec, and M. Bensoam, Electrostatic of wound components: analytical results, simulation and experimental validation of the parasitic capacitance, Proc. vol, pp.1469-1475, 1991.

E. Matagne and J. Conard, Mod??lisation macroscopique des milieux stratifi??s conducteurs, Journal de Physique III, vol.7, issue.11, pp.11-2251, 1997.
DOI : 10.1051/jp3:1997256

P. Lorain and D. Corson, Electromagnetic fields and waves, Freeman and company, 1962.

C. Brezinski, R. Zaglia, and M. , Extrapolation Methods. Theory and Practice, 1991.
URL : https://hal.archives-ouvertes.fr/hal-00018524

B. Ackermann, A. Lewalter, and E. Waffenschmidt, Analytical modelling of winding capacitances and dielectric losses for planar transformers, 2004 IEEE Workshop on Computers in Power Electronics, 2004. Proceedings., 2004.
DOI : 10.1109/CIPE.2004.1428111

X. Margueron, A. Besri, P. Jeannin, J. Keradec, and G. Parent, Complete Analytical Calculation of Static Leakage Parameters: A Step Toward HF Transformer Optimization, IEEE Transactions on Industry Applications, vol.46, issue.3, pp.46-49
DOI : 10.1109/TIA.2010.2045327

URL : https://hal.archives-ouvertes.fr/hal-00608447

X. Margueron, J. Keradec, and A. Besri, Current sharing between parallel turns of a planar transformer: prediction and improvement using a circuit simulation software, IEEE Industrial Application Society, pp.23-27, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00289169

R. Prieto, J. Cobos, O. Garcia, P. Alou, and J. Uceda, Using parallel windings in planar magnetic components, 2001 IEEE 32nd Annual Power Electronics Specialists Conference (IEEE Cat. No.01CH37230), pp.2055-2060, 2001.
DOI : 10.1109/PESC.2001.954423

A. Portolan and I. W. Hofsajer, The Analysis and Design of an Inter-Winding Shielding Structure of a High Frequency Transformer, 2007 IEEE Power Engineering Society Conference and Exposition in Africa, PowerAfrica, pp.16-20, 2007.
DOI : 10.1109/PESAFR.2007.4498122

J. P. Keradec, Identification expérimentale progressive des circuits équivalents de transformateurs HF. Les techniques de l'ingénieur (F), p.3059

P. L. Dowell, Effects of eddy currents in transformer windings, Proceedings of the Institution of Electrical Engineers, vol.113, issue.8, p.11, 1966.
DOI : 10.1049/piee.1966.0236

X. Margueron and «. , Elaboration sans prototypage du circuit équivalent de transformateurs de type planar » X. Thèse UJF ?Grenoble, pp.5950-3000, 2003.

]. C. Sullivan, S. Prabhakaran, and . Impedance, Analyzer Measurement of High-Frequency Power Passives: Techniques for High Power and Low Impedance, 1360.

J. P. Keradec, Transformateurs HF à n enroulements. Circuits à constantes localisées », dossier D 3 058 FevTransformateurs HF à n enroulements. Identification expérimentale Margueron « Using Confidence Factor to Improve Reliability of Wide Frequency Range Impedance Measurement, pp.104-109, 2008.

E. Laveuve, J. P. Keradec, and M. Bensoam, Electrostatic of wound components: analytical results, simulation and experimental validation of the parasitic capacitance, Proc. vol, pp.1469-1475, 1991.

F. Blache, J. P. Keradec, and B. Cogitore, Stray capacitances of two winding transformers: equivalent circuit, measurements, calculation and lowering, Proceedings of 1994 IEEE Industry Applications Society Annual Meeting, 2006.
DOI : 10.1109/IAS.1994.377552

B. Cogitore, J. P. Keradec, and J. Barbaroux, The two-winding transformer: an experimental method to obtain a wide frequency range equivalent circuit, IEEE Transactions on Instrumentation and Measurement, vol.43, issue.2, pp.364-371, 1994.
DOI : 10.1109/19.293449

X. Margueron and J. P. Keradec, Design of equivalent circuits and characterization strategy for n-input coupled inductors, Conference Record of the 2004 IEEE Industry Applications Conference, 2004. 39th IAS Annual Meeting., pp.14-22, 2007.
DOI : 10.1109/IAS.2004.1348455

URL : https://hal.archives-ouvertes.fr/hal-00283284

X. Margueron and J. P. Keradec, Identifying the Magnetic Part of the Equivalent Circuit of <formula> <tex>$n$</tex></formula>-Winding Transformers, IEEE Transactions on Instrumentation and Measurement, vol.56, issue.1, pp.146-152, 2007.
DOI : 10.1109/TIM.2006.887402

A. Besri, H. Chazal, and J. Keradec, Capacitive behavior of HF power transformers: Global approach to draw robust equivalent circuits and experimental characterization, 2009 IEEE Intrumentation and Measurement Technology Conference, pp.1262-1267
DOI : 10.1109/IMTC.2009.5168649

URL : https://hal.archives-ouvertes.fr/hal-00385355

J. Biela and J. W. Kolar, Using transformer parasitics for resonant converters - a review of the calculation of the stray capacitance of transformers, Fourtieth IAS Annual Meeting. Conference Record of the 2005 Industry Applications Conference, 2005., pp.223-232, 2008.
DOI : 10.1109/IAS.2005.1518701

E. Laveuve, « Modélisation des transformateurs des convertisseurs haute fréquence » 12 sept Directeur de Thèse Prof, Thèse INPG, 1991.

A. Schellmanns, « Circuits équivalents pour transformateurs multi-enroulements : Application à la CEM conduite d'un convertisseur ». 9 juillet 1999

A. Schellmanns, K. Berrouche, and J. P. Keradec, Multiwinding transformers: a successive refinement method to characterize a general equivalent circuit, IEEE Transactions on Instrumentation and Measurement, vol.47, issue.5, pp.1316-1321, 612344-10-01.
DOI : 10.1109/19.746603

J. P. Keradec, Transformateurs HF à n enroulements. Circuits à constantes localisées », dossier D 3 058 Fev 2008 and "Transformateurs HF à n enroulements. Identification expérimentale, 2009.

K. Kundert, «. Modeling, ]. X. Margueron, and J. Keradec, Dielectric Absorption in Capacitorsdesigners-guide.org/ tel-00612344, version 1 -28Identifying the magnetic part of the equivalent circuit of n-winding transformer, IEEE Transactions on Instrumentation and Measurements, vol.56, issue.1, pp.146-152, 2007.

J. P. Keradec, Identification expérimentale progressive des circuits équivalents de transformateurs HF. Les techniques de l'ingénieur (F), dossier D3059, p.29283

J. Vlach and K. Singhal, Computer Methods for circuit analysis and design, 1983.

T. Kato and ?. , General Circuit Equation Formulation Method for Simulation of a Power Electronic System Doshisha University, Japan. Electrical Engineering in Japan Translated from Denki Gakkai Ronbunshi, vol.152, issue.123 12, pp.1523-1529, 2003.

C. Ho, A. Ruehli, and P. Brennan, The modified nodal approach to network analysis Circuits and Systems/software-solutions/flux.html [10] L. Heinemann " Modelling and Design of High Frequency Planar Transformers, Novel SPICE Compatible High Frequency Multiwinding Transformer Model " ABB Corporate Research Center, pp.504-509, 1975.

L. Heinemann, B. Becker, H. Grotstollen, X. Margueron, J. Keradec et al., Computer Aided Design and Modeling of High Frequency Magnetic Components Simulation and Design of High Frequency Magnetics Including the Skin effect, Nonlinear Core Properties and Thermal Effects " ABB Corporate Research Center, Power Electronics Current Sharing Between Parallel Turns of a Planar Transformer: Prediction and Improvement Using a Circuit Simulation Software, IEEE [13] L. Heinemann, 1995.

W. Chen, Y. Yan, Y. Hu, Q. Lu, ]. R. Prieto et al., Model and Design of PCB Parallel Winding for Planar TransformerUsing parallel windings in planar magnetic componentsProblems of paralleling windings for planar transformer and solutions A Comparative Study of High Frequency, Low-Profile Planar Transformer Technologies, IEEE Transactions on Magnetics IEEE IEEE Numerical Methods for Scientists and Engineers, vol.39, issue.516, pp.2-620, 1973.

E. K. Miller, Model-based parameter estimation in electromagnetics. I. Background and theoretical development, IEEE Antennas and Propagation Magazine, vol.40, issue.1, pp.42-52, 1998.
DOI : 10.1109/74.667326

J. Ross, Comparison of Parametric and Nonparametric Methods for the Analysis and Inversion of Immittance Data: Critique of Earlier Work Frequency-Band Complex Noninteger Differentiator: Characterization and Synthesis, Journal of Computational Physics IEEE Transactions on Circuits and Systems? I: Fundamental Theory and Applications, vol.157, issue.47 1, 2000.

K. Lai and D. , Contribution à l'optimisation du dimensionnement de composants passifs intégrés pour l'électronique de puissance, Thèse G2ELab-Univertité de Grenoble, p.16

K. Lai-dac, Y. Lembeye, A. Besri, J. Keradec, A. E. Ruehli et al., Analytical Modelling of Losses for High Frequency Planar LCT Components USA, 20-24 septEquivalent Circuit Models for Three Dimensional Multiconductor SystemVers un outil de conception de câblage : Le logiciel INCAModélisation, caractérisation, dimensionnement de jeux de barresInductance CalculationOptimisaton des Canalisations Électriques et des Armoires de DistributionCalcul Analytique de Réluctance de circuits magnétiques simples par la method µPEEC, Thèse de l'INPG Thèse de l'INPG Novembre 2001. [6] InCa Cedrat, 10 Chemin de Pré Carré-ZIRST, 38426 Meylan Thèse de l'UJF Juin 2005. [8] H. Bui Ngoc Master 2 Recherche 16 Juin 2006. [9] J-P. Keradec, E. Clavel, J-P. Gonnet, V. Mazauric, "Introducing Linear Magnetic Materials in PEEC Simulations. Principles, Academic and Industrial Applications, pp.216-221, 1974.

]. T. Lioux, Calcul analytiques d'inductances HF de conducteurs cylindriques parallèles, 2008.