Z. Zhu, L. Wu, and M. , Distortion of Back-EMF and Torque of PM Brushless Machines Due to Eccentricity, IEEE Transactions on Magnetics, vol.49, issue.8, pp.4927-4936, 2013.
DOI : 10.1109/TMAG.2013.2246181

M. F. Hsieh and Y. H. Yeh, Rotor Eccentricity Effect on Cogging Torque of PM <newline/>Generators for Small Wind Turbines, IEEE Transactions on Magnetics, vol.49, issue.5, pp.1897-1900, 2012.
DOI : 10.1109/TMAG.2012.2237021

K. Kim, K. Kim, S. Hwang, T. Kim, and Y. Jung, Comparison of magnetic forces for IPM and SPM motor with rotor eccentricity, IEEE Trans. Magnetics, vol.37, issue.5, pp.3448-3451, 2001.

P. V. Jover, A. Belahcen, A. Arkkio, A. Laiho, A. Daviu et al., Air-gap force distribution and vibration pattern of induction motors under dynamic eccentricity, J.Electr.Eng, issue.3, pp.90209-218, 2008.

A. Belahcen, Losses in an eccentric rotor induction machine fed from frequency converter, 2008 18th International Conference on Electrical Machines, 2008.
DOI : 10.1109/ICELMACH.2008.4800261

R. N. Andriamalala, H. Razik, L. Baghli, and F. Sargos, Eccentricity Fault Diagnosis of a Dual-Stator Winding Induction Machine Drive Considering the Slotting Effects, IEEE Transactions on Industrial Electronics, vol.55, issue.12, pp.4238-4251, 2008.
DOI : 10.1109/TIE.2008.2004664

URL : https://hal.archives-ouvertes.fr/hal-00440401

Z. Shaoqu and K. Du-master-in, Modeling and inclusion of geometric uncertainties in the assessment of a stator, 2011.

K. Sawatani, . Sano, . Kenzo, . Ootake, and . Shigeru, Stator Frame Deformation Problem in Large Diameter Hydro-Generators, Energy Conversion, IEEE Transactions on, issue.1, pp.1-33, 1986.

K. Yamazaki and Y. Kato, Iron Loss Analysis of Interior Permanent Magnet Synchronous Motors by Considering Mechanical Stress and Deformation of Stators and Rotors, Magnetics, IEEE Transactions on, issue.2, pp.2014-50

C. Azuaje and A. Millan, Stator Deformation of Large Hydrogenerators and Its Effects on the Machines, Transmission & Distribution Conference and Exposition, p.6, 2006.

Y. Cao, L. Yu, and H. Jia, Rotor mechanical stress and deformation analysis of coreless stator axial-flux permanentmagnet machines, 2015 IEEE Magnetics Conference (INTERMAG), pp.2015-2016, 2015.
DOI : 10.1109/INTMAG.2015.7156691

E. De-rocquigny and E. R&d, Incertitudes, risques et environnement, quelques proble mes mathe matiques pour un industriel, SMAI ? 7e me Rencontres Math-Industrie « Mathe matiques et Environnement, 2007.

K. Beddek, S. Clénet, O. Moreau, and Y. Le-menach, Solution of Large Stochastic Finite Element Problems&#x2014;Application to ECT-NDT, IEEE Transactions on Magnetics, vol.49, issue.5, pp.1605-1608, 2013.
DOI : 10.1109/TMAG.2013.2240665

K. Beddek, S. Clenet, O. Moreau, V. Costan, Y. Le-menach et al., Adaptive Method for Non-Intrusive Spectral Projection&#x2014;Application on a Stochastic Eddy Current NDT Problem, IEEE Transactions on Magnetics, vol.48, issue.2, pp.759-762, 2012.
DOI : 10.1109/TMAG.2011.2175204

R. Gaignaire, R. Scorretti, R. V. Sabariego, and C. Geuzaine, Stochastic Uncertainty Quantification of Eddy Currents in the Human Body by Polynomial Chaos Decomposition, IEEE Transactions on Magnetics, vol.48, issue.2, pp.451454-2012
DOI : 10.1109/TMAG.2011.2171925

URL : https://hal.archives-ouvertes.fr/hal-00582557

J. Deryckere, B. Masschaele, H. De-gersem, and D. Steyaert, Stochastic Response Surface Method for Dimensioning Accelerator Cavities, OIPE, vol.2012, p.2012

C. Schmidt, T. Flisgen, T. Heller, and U. Van-rienen, Comparison of techniques for uncertainty quantification of superconducting radio frequency cavities, 2014 International Conference on Electromagnetics in Advanced Applications (ICEAA), pp.117-120, 2014.
DOI : 10.1109/ICEAA.2014.6903838

H. Mac, S. Clenet, S. Zheng, T. Coorevits, and J. C. Mipo, On the geometric uncertainties of an electrical machine : stochastic modeling and impact on the performances, p.2013

P. Offermann, H. Mac, T. T. Nguyen, S. Clenet, H. De-gersem et al., Uncertainty Quantification and Sensitivity Analysis in Electrical Machines With Stochastically Varying Machine Parameters, IEEE Transactions on Magnetics, vol.51, issue.3, p.2014
DOI : 10.1109/TMAG.2014.2354511

S. Samper, Tolérancement et analyse des structures au service des systèmes souples et du défaut de forme, 2007.

S. Samper and M. Giordano, Simulaneous analysis method for tolerancing flexible mechanisms Kluwer academic publishers, pp.127-134, 2003.

J. Petit and S. Samper, Tolerancing analysis and functional requirement, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00525848

S. Samper and F. Formosa, Form Defects Tolerancing by Natural Modes Analysis, Journal of Computing and Information Science in Engineering, vol.7, issue.1, pp.44-51, 2007.
DOI : 10.1115/1.2424247

URL : https://hal.archives-ouvertes.fr/hal-00333036

G. Ameta, S. Samper, and M. Giordano, Comparison of Spatial Math Models for Tolerance Analysis: Tolerance-Maps, Deviation Domain, and TTRS, Journal of Computing and Information Science in Engineering, vol.11, issue.2, p.11, 2011.
DOI : 10.1115/1.3593413

URL : https://hal.archives-ouvertes.fr/hal-00801640

M. Giordano, E. Pairel, S. Samper, F. Villeneuve, and &. L. Mathieu, Chapter 7: Tolerance analysis and synthesis, method of domains Geometric tolerancing of products, pp.151-180, 2010.

L. Bouarroudj, Thèse de l'INPG, Contribution à l'étude de l'alternateur à griffes, 2005.

A. Ibala, A. Masmoudi, ]. Y. Shen, Z. Q. Zhu, J. T. Chen et al., Accounting for the Armature Magnetic Reaction and Saturation Effects in the Reluctance Model of a New Concept of Claw-Pole Alternator, IEEE Transactions on Magnetics, vol.46, issue.11, pp.3955-3961, 2010.
DOI : 10.1109/TMAG.2010.2055882

X. Bao, Q. Wang, and Y. Ni, Modelling and Optimization of the Claw Pole Alternator based on Support Vector Machines and Chaos, proceedings of Fourth International Conference on Machine Learning and Cybernetics, pp.4012-4016, 2005.

W. Qunjing, M. Fei, and J. Weidong, The analysis and calculations on 3- dimensional field and inductances of a claw-pole alternator under no load condition, Proceedings of the CSEE, pp.38-42, 2002.

K. P. Pillai, M. K. Idiculla, and A. S. Nair, Frequency Spectrum of the Generated Voltage of Claw Pole Automotive Alternators on No Load, 2005 International Conference on Power Electronics and Drives Systems, pp.726-729, 2005.
DOI : 10.1109/PEDS.2005.1619780

S. B. Lim, D. S. Jung, K. C. Kim, D. H. Koo, and J. Lee, Characteristic Analysis of Permanent-Magnet-Type Stepping Motor With Claw Poles by Using 3 Dimensional Finite Element Method, IEEE Transactions on Magnetics, vol.43, issue.6, pp.2519-2521, 2007.
DOI : 10.1109/TMAG.2007.893999

T. Hattori, Y. Suzuki, and T. Yamada, Analysis of permanent magnet type stepping motor with claw poles using electromagnetic field analysis, International Conference on Electrical Machines and Systems, pp.3539-3543, 2008.

S. H. Lee, S. O. Kwon, J. J. Lee, J. P. Hong-hameyer, and K. , Characteristic Analysis of Claw-Pole Machine Using Improved Equivalent Magnetic Circuit Octobre [38] A. Ibala, 2011, Elaboration and validation of the MECs of different claw pole machinesStudy of Hybrid Excited Synchronous Alternators for Automotive Applications Using Coupled FE and Circuit SimulationsDesign and analysis of a high-speed claw pole motor with soft magnetic composite core, IEEE Transactions on Magnetics Sfax Engineering School Magnetics IEEE Transactions on IEEE Trans. Magn, vol.4544, issue.43 6, pp.4570-45731598, 2007.

L. Li, A. K. Lebouc, A. Foggia, and J. C. Mipo, Influence of Magnetic Materials on Claw Pole Machines Behavior, IEEE Transactions on Magnetics, vol.46, issue.2, pp.574-577, 2010.
DOI : 10.1109/TMAG.2009.2032520

URL : https://hal.archives-ouvertes.fr/hal-00611803

B. M. Ebrahimi, Static-, Dynamic-, and Mixed-Eccentricity fault diagnoses in Permanentmagnet synchronous motors, Industrial Electronics IEEE Transactions on, pp.4727-4739, 2009.

Z. Zhu, L. Wu, and M. , Distortion of Back-EMF and Torque of PM Brushless Machines Due to Eccentricity, IEEE Transactions on Magnetics, vol.49, issue.8, pp.4927-4936, 2013.
DOI : 10.1109/TMAG.2013.2246181

M. F. Hsieh and Y. H. Yeh, Rotor Eccentricity Effect on Cogging Torque of PM <newline/>Generators for Small Wind Turbines, IEEE Transactions on Magnetics, vol.49, issue.5, pp.1897-1900, 2012.
DOI : 10.1109/TMAG.2012.2237021

K. Kim, K. Kim, S. Hwang, T. Kim, and Y. Jung, Comparison of magnetic forces for IPM and SPM motor with rotor eccentricity, IEEE Trans. Magnetics, vol.37, issue.5, pp.3448-3451, 2001.

B. Akihiro and T. Iamamura, Contribution à la détection de défauts dans les rotors des turboalternateur, 2011.

P. V. Jover, A. Belahcen, A. Arkkio, A. Laiho, A. Daviu et al., Air-gap force distribution and vibration pattern of induction motors under dynamic eccentricity, J.Electr.Eng, issue.3, pp.90209-218, 2008.

A. R. Belahcen, H. Andriamalala, L. Razik, F. Baghli, and . Sargos, Losses in an eccentric rotor induction machine fed from frequency converterEccentricity fault diagnosis of a dual-stator winding induction machine drive considering the slotting effects, Proc. 18th ICEM, Villamoura, Portugal, paper id 883, pp.4238-4251, 2008.

A. Krings, S. Nategh, O. Wallmark, and J. Soulard, Influence of the welding process on the magnetic properties of a slot-less permanent magnet synchronous machine stator core, 2012 XXth International Conference on Electrical Machines, pp.1333-1338, 2012.
DOI : 10.1109/ICElMach.2012.6350050

A. Schoppa, J. Schneider, and J. Roth, Influence of the cutting process on the magnetic properties of non-oriented electrical steels, Journal of Magnetism and Magnetic Materials, vol.215, issue.216, pp.215-216, 2000.
DOI : 10.1016/S0304-8853(00)00077-9

K. Y. Jung, Z. Ren, H. S. Yoon, and C. S. Koh, Measurement of Stator Core Loss of an Induction Motor at Each Manufacturing Process, Journal of Electrical Engineering and Technology, vol.9, issue.4, pp.1309-1314, 2014.
DOI : 10.5370/JEET.2014.9.4.1309

R. Rindra, Modélisation stochastique de la variabilité des propriétés magnétiques des matériaux ferromagnétiques : Application sur des stators de machines électriques, Thèse de doctorat, Arts et Métier ParisTech, p.2012

G. Ombach and J. Junak, Design of PM Brushless Motor Taking into Account Tolerances of Mass Production -Six Sigma Design Method, 42nd IAS Annual Meeting, 2007.

V. Ramet, Les procédés de fabrication de l'alternateur, Documents VALEO, 2013.

Z. Shaoqu and K. Du-master-in, Modeling and inclusion of geometric uncertainties in the assessment of a stator, 2011.

C. Thierry, Contribution au développement des techniques d'autocalibrage appliquées aux machines à mesurer tridimensionnelles, Thèse de Doctorat, ENSAM No90. ENAM. 0003, 1990.

C. Thierry, R. Nicolas, and S. Florian, Raccordement en métrologie des engrenages cylindriques droits: méthodologie sur Machine à Mesurer Tridimensionnelle, Proceedings ? Congrès International de métrologie, 2004.

C. Thierry, R. Nicolas, and V. Rénald, Incertitudes sur Machine à Mesurer Tridimensionnelle : Pièce et Méthode, Proceedings ? Congrès International de métrologie, 2004.

C. Thierry and D. Jean-marie, Incertitudes de mesures sur machines à mesurer tridimensionnelles: approche par une méthode de Monte Carlo, Proceedings -Congrès International de Métrologie, 2001.

R. Schultschik, The Components of the Volumetric Accuracy, Annals of the CIRP, vol.25, issue.1, pp.223-228, 1977.

T. C. Goodhead, P. F. Mcgoldrick, and J. J. Crabtree, Automatic detection of and compensation for alignment errors in machine tool slideways, Proceedings of the eighteenth machine tool design and research conference, 1977.

R. Hocken, J. A. Simpson, B. Borchardt, J. Lazar, C. Reeve et al., Three Dimensional metrology, Annals of the CIRP, vol.26, issue.2, pp.403-408, 1977.

P. Bourdet, Contribution à la mesure tridimensionnelle: modèle d'identification géométrique des surfaces, Métrologie fonctionnelle des pièces mécaniques, Correction géométrique des machines à mesurer tridimensionnelles, Thèse de doctorat université de Nancy 1, 1987.

J. Ni and S. M. Wu, An On-Line Measurement Technique for Machine Volumetric Error Compensation, Journal of Engineering for Industry, vol.115, issue.1, pp.85-92, 1993.
DOI : 10.1115/1.2901643

J. S. Chen, J. X. Yuan, J. Ni, and S. M. Wu, Real-time Compensation for Time-variant Volumetric Errors on a Machining Center, Journal of Engineering for Industry, vol.115, issue.4, pp.472-479, 1993.
DOI : 10.1115/1.2901792

A. K. Elshennawy and H. Inyong, Performance improvement in coordinate measuring machines by error compensation, Journal of Manufacturing Systems, vol.9, issue.2, pp.151-158, 1990.
DOI : 10.1016/0278-6125(90)90029-H

K. J. Lenz and W. Merzenich, Achievement of accuracy by error compensation of large CMMs, Precision Engineering, vol.10, issue.4, 1988.
DOI : 10.1016/0141-6359(88)90058-X

N. Française and A. Nf-e, Spécification géométrique des produits (GPS)?Machines à mesurer tridimensionnelles à portique?Représentation des corrections de géométrie, pp.11-151, 2003.

T. , E. , and J. A. Martin, Self-centering probes with parallel kinematics to verify machine-tools, Precision Engineering, vol.30, pp.165-179, 2006.

W. Adam and D. Marek, Metrological feasibilities of CMM touch trigger probes. Part I: 3D theoretical model of probe pretravel, Measurement, vol.34, pp.273-286, 2003.

A. , R. A. , and J. Davis, Forced touch-down: a customer's further examination of a touch trigger probe, International Journal of Machine Tools & Manufacture, vol.37, issue.10, pp.1383-1392, 1997.

R. A. Aston and D. Jim, A probing question: A customer's investigation into the directional variability of a coordinate measuring machine touch trigger probe, International Journal of Machine Tools and Manufacture, vol.37, issue.10, pp.1375-1382, 1997.
DOI : 10.1016/S0890-6955(97)00011-4

B. Clive, An investigation into the performance of probes on coordinate measuring machines, pp.59-70, 1991.

C. , P. A. , and T. G. King, Factors which influence CMM touch trigger probe performance, International Journal of Machine Tools & Manufacture, vol.38, issue.4, pp.363-374, 1998.

W. Adam and D. Marek, Influence of measured objects parameters on CMM touch trigger probe accuracy of probing, Precision Engineering, vol.29, pp.290-297, 2005.

L. Joël and . Roux, La transformée de Fourier et ses applications

N. Hagen, la corrélation entre la déformation du stator et la vibration, le bruit acoustique, stage Valeo, p.2015

B. Sudret and D. Kiureghian, Stochastic Finite Elements and reliability: A state-of-the-art report, Report UCB, 2000.

R. Ghanem and P. Spanos, Stochastic Finite Elements: A spectral approach, 2003.
DOI : 10.1007/978-1-4612-3094-6

L. Maitre, O. Knio, and O. M. , Spectral Methods for Uncertainty Quantification with Applications to Computational Fluid Dynamics

J. Deryckere, B. Masschaele, H. De-gersem, and D. Steyaert, Stochastic Response Surface Method for Dimensioning Accelerator Cavities, OIPE, vol.2012, 2012.

M. Ferber, C. Vollaire, L. Krahenbuhl, and J. Vasconcelos, Adaptive unscented transform for uncertainty quantification in EMC large-scale systems, COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, vol.33, issue.3, 2012.
DOI : 10.1108/COMPEL-10-2012-0212

URL : https://hal.archives-ouvertes.fr/hal-00726428

T. Hulsmann, A. Bartel, S. Shops, and H. De-gersem, Simulation of Inrush Currents, CEFC, vol.2012, 2012.

A. Drissaoui, S. Lanteri, P. Lévêque, P. Musy, L. Nicolas et al., A Stochastic Collocation Method Combined With a Reduced Basis Method to Compute Uncertainties in Numerical Dosimetry, IEEE Transactions on Magnetics, vol.48, issue.2, pp.563-566, 2012.
DOI : 10.1109/TMAG.2011.2174347

URL : https://hal.archives-ouvertes.fr/hal-00675034

D. Voyer, F. Musy, L. Nicolas, and R. Perrussel, Probabilistic methods applied to 2D electromagnetic numerical dosimetry, COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, vol.27, issue.3, pp.651-667, 2008.
DOI : 10.1108/03321640810861098

URL : https://hal.archives-ouvertes.fr/hal-00164652

C. Chauviere, J. S. Hesthaven, and L. Lurati, Computational Modeling of Uncertainty in Time-Domain Electromagnetics, SIAM Journal on Scientific Computing, vol.28, issue.2, pp.751-775
DOI : 10.1137/040621673

N. Ida and J. P. Bastos, Electromagnetics and Calculation of Fields A student's guide to Fourier Transforms with Applications in Physics and Engineering, Third Edition, James, J.F, 1997.

H. Duc and M. , Résolution numérique en électromagnétisme statique de problèmes aux incertitudes géométriques par la méthode de transformation : Application aux machines électriques, p.2012

S. Clénet, Uncertainty quantification in computational electromagnetics : the stochastic approach, ICS Newsletter, 2013.

T. T. Nguyen, D. H. Mac, S. Clénet, ]. S. Liu, S. Clénet et al., Non instrusive uncertainty quantification method for models with a high number of parameters -Application to a magnetoelectric sensor, Influence of the stator deformation on the behavior of a claw-pole generator, p.2014, 2015.