Analytical modeling of the cogging torque in permanent magnet motors, Electrical Engineering, vol.78, issue.2, p.123, 1995. ,
A novel method for modeling dynamic air-gap eccentricity in synchronous machines based on modified winding function theory, IEEE Transactions on Energy Conversion, vol.13, issue.2, pp.156-162, 1998. ,
Magnetic Field Analysis in Eccentric Surface-Mounted Permanent-Magnet Motors Using an Improved Conformal Mapping Method, IEEE Transactions on Energy Conversion, vol.31, issue.1, pp.333-344, 2016. ,
The Acoustic Behavior of Induction Motors, Journal of the Acoustical Society of America, vol.34, issue.4, p.72, 1953. ,
, , vol.183, p.197, 2018.
Travelling wave and non-stationary response in nonlinear vibrations of water-filled circular cylindrical shells: Experiments and simulations, Journal of Sound and Vibration, vol.381, pp.220-245, 2016. ,
, , 2018.
, , vol.139, p.187
Influence of Electric Loading and Magnetic Saturation on Cogging Torque, Back-EMF and Torque Ripple of PM Machines, IEEE Transactions on Magnetics, vol.48, issue.10, pp.2650-2658, 2012. ,
Analytical Modeling of Open Circuit Magnetic Field in Wound Field and Series Double Excitation Synchronous Machines, IEEE Transactions on Magnetics, vol.46, issue.10, pp.3802-3815, 2010. ,
Contribution à l'étude des formulations de calcul de la force magnétique en magnétostatique, approche numérique et validation expérimentale, p.70, 2003. ,
Damper winding for noise and vibration reduction of PWM-fed induction machines, 2017 IEEE International Electric Machines and Drives Conference (IEMDC), p.41, 2017. ,
Hybrid Analytical Model Coupling Laplace's Equation and Reluctance Network for Electrical Machines, IEEE Transactions on Magnetics, vol.53, issue.6, p.210, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01631132
Modélisation des machines électriques en vue du contrôle des efforts radiaux, vol.24, p.229, 2006. ,
Two-Dimensional exact analytical solution of armature reaction field in slotted surface mounted PM radial flux synchronous machines, IEEE Transactions on Magnetics, vol.45, issue.10, pp.4534-4538, 2009. ,
Modeling of a coaxial magnetic gear equipped with surface mounted PMs using nonlinear adaptive magnetic equivalent circuits, 2016 XXII International Conference on Electrical Machines (ICEM), vol.66, p.67, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-02130956
Investigation of the segment order in step-skewed synchronous machines on noise and vibration, 4th International Electric Drives Production Conference (EDPC), vol.23, p.40, 2014. ,
Noise and Vibration Synthesis based on Force Response Superposition. PhD thesis, Fakultät für Elektrotechnik und Informationstechnik der Rheinisch-Westfälischen Technischen Hochschule Aachen, vol.29, p.78, 2013. ,
Noise-Vibration-Harshness simulation of ultralight vehicle traction drives based on a universal modelling approach, 8th IET International Conference on Power Electronics, Machines and Drives, p.78, 2016. ,
Modélisation analytique magnéto-accoustique des machines synchrones à commutation de flux à aimants permanents -optimisation du dimensionnement, p.66, 2014. ,
Low Computational-cost determination of Vibrational Behavior: Application to Five-phase Flux-Switching Permanent-Magnet Motor, IEEE Transactions on Magnetics, issue.99, pp.1-1, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01099332
Random modulation and acoustic noise reduction in IM drives: a case study, 9th International Conference on Electrical Machines and Drives, vol.1999, p.41, 1999. ,
Three-dimensional calculation of the asynchronous sector motor with solid iron rotor, p.56, 1979. ,
Analytical calculation of the two-dimensional field in the air gap and the slots of electrical machines, IEEE Transactions on Magnetics, vol.20, issue.5, pp.1783-1785, 1984. ,
Pyleecan: An Open-Source Python Object-Oriented Software for the Multiphysic Design Optimization of Electrical Machines, XIII International Conference on Electrical Machines (ICEM), vol.173, pp.948-954, 2018. ,
Virtual power principle and Maxwell's tensor: which comes first? COMPEL -The international journal for computation and mathematics in electrical and electronic engineering, vol.30, p.73, 2011. ,
A 2-D Model of the Induction Machine: An Extension of the Modified Winding Function Approach, IEEE Transactions on Energy Conversion, vol.19, issue.1, pp.144-150, 2004. ,
Analytical Model of Slotted Air-Gap Surface Mounted Permanent-Magnet Synchronous Motor With Magnet Bars Magnetized in the Shifting Direction, IEEE Transactions on Magnetics, vol.45, issue.2, p.60, 2009. ,
2-D Analytical Prediction of Eddy Currents, Circuit Model Parameters, and Steady-State Performances in Solid Rotor Induction Motors, IEEE Transactions on Magnetics, vol.50, issue.12, p.114, 2014. ,
Analytical prediction of magnetic field in parallel double excitation and spoke-type permanent-magnet machines accounting for tooth-tips and shape of polar pieces, IEEE Transactions on Magnetics, vol.48, issue.7, pp.2121-2137, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00673949
General Subdomain Model for Predicting Magnetic Field in Internal and External Rotor Multiphase Flux-Switching Machines Topologies, IEEE Transactions on Magnetics, vol.49, issue.10, pp.5310-5325, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00833995
Analytical Analysis of Cage Rotor Induction Motors in Healthy, Defective, and Broken Bars Conditions, IEEE Transactions on Magnetics, vol.51, issue.2, p.164, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01383721
Two-Dimensional Field Analysis of Cylindrical Machines with Permanent Magnet Excitation, IEEE Transactions on Industry Applications, IA, vol.20, issue.5, p.69, 1984. ,
Modélisation multi-physique par modèles à constantes localisées ; application à une machine synchrone à aimants permanents en vue de son dimensionnement, vol.46, 2012. ,
Multiphysics modeling of a permanent magnet synchronous machine by using lumped models, IEEE Transactions on Industrial Electronics, vol.59, issue.6, p.68, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-01913304
Combined Analytical-Numerical Noise Calculation of Electrical Machines Considering Nonsinusoidal Mode Shapes, IEEE Transactions on Magnetics, vol.49, issue.4, pp.1407-1415, 2013. ,
Modélisation de la denture des machines asynchrones : phénomènes de résonances, Journal of Physics III, vol.37, issue.7, pp.1009-1023, 1997. ,
The magnetic field of the dynamo-electric machine, Journal of the Institution of Electrical Engineers, vol.64, issue.359, pp.1115-1138, 1926. ,
Magnetic noise reduction of induction machines, IEEE Transactions on Power Electronics, vol.18, issue.2, p.41, 2003. ,
URL : https://hal.archives-ouvertes.fr/tel-00372876
2-D Magnetomechanical Transient Study of a Motor Suffering a Bar Breakage, IEEE Transactions on Industry Applications, vol.9994, issue.c, pp.1-1, 2018. ,
Finite element implementation of virtual work principle for magnetic or electric force and torque computation, IEEE Transactions on Magnetics, vol.20, issue.5, p.73, 1984. ,
Magnetic Modeling of a Linear Synchronous Machine with the Spectral Element Method, IEEE Transactions on Magnetics, vol.9464, issue.c, pp.1-1, 2017. ,
Magnetic Radial Force Density of the PM Machine with 12-teeth / 10-poles Winding Topolog, IEEE International Electric Machines and Drives Conference, IEMDC '09, vol.20, p.34, 2009. ,
A novel 12-teeth/10-poles PM machine with flux barriers in stator yoke, 2012 XXth International Conference on Electrical Machines, p.41, 2012. ,
2-D Analytical Subdomain Model for Hybrid Dual-Rotor Motor, IEEE Transactions on Magnetics, issue.6, p.64, 2016. ,
3-D formal resolution of maxwell equations for the computation of the no-load flux in an axial flux permanent-magnet synchronous machine, IEEE Transactions on Magnetics, vol.48, issue.1, p.56, 2012. ,
Analysis of Force and Torque Harmonic Spectrum in an Induction Machine for Automotive NVH Purposes, vol.29, p.30, 2016. ,
Influence of rotor slot wedges on stator currents and stator vibration spectrum of induction machines: A transient finite-element analysis, IEEE Transactions on Magnetics, vol.39, issue.3, pp.1492-1494, 2003. ,
Imperfect skew impact on the vibration of the traction induction motor, International Symposium on Electromagnetic Fields, vol.40, pp.3-8, 2016. ,
Approche « sous-domaine vs perméance analytique » en vue d'estimer le contenu spatio-temporel des harmoniques de forces radiales d'une machine asynchrone, SGE 2018 Symposium de Génie Electrique, vol.121, p.252, 2018. ,
Experimental Benchmark for Magnetic Noise and Vibrations Analysis in Electrical Machines, 2018 XIII International Conference on Electrical Machines (ICEM), vol.172, p.211, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01910617
A new hybrid method for the fast computation of airgap flux and magnetic forces in IPMSM, 2017 Twelfth International Conference on Ecological Vehicles and Renewable Energies (EVER), vol.83, p.251, 2017. ,
Tangential effects on magnetic vibrations and acoustic noise of induction machines using subdomain method and electromagnetic vibration synthesis, 2017 IEEE International Electric Machines and Drives Conference (IEMDC), vol.35, p.252, 2017. ,
A review of subdomain modeling techniques in electrical machines: Performances and applications, 2016 XXII International Conference on Electrical Machines (ICEM), p.120, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01910609
An Improved 2-D Subdomain Model of Squirrel-Cage Induction Machine Including Winding and Slotting Harmonics at Steady State, IEEE Transactions on Magnetics, vol.121, p.252, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01679361
Nonlinear Analytical Prediction of Magnetic Field and Electromagnetic Performances in Switched Reluctance Machines, IEEE Transactions on Magnetics, vol.53, issue.7, pp.1-11, 2017. ,
Synchronous machines I-an extension of blondel's two-reaction theory, Transactions of the American Institute of Electrical Engineers, vol.54, p.69, 1926. ,
Sources and Characteristics of Unbalanced Magnetic Pull in Three-Phase Cage Induction Motors With Axial-Varying Rotor Eccentricity, IEEE Transactions on Industry Applications, vol.47, issue.1, p.26, 2011. ,
Multiphysics NVH Modeling: Simulation of a Switched Reluctance Motor for an Electric Vehicle, IEEE Transactions on Industrial Electronics, vol.61, issue.1, p.46, 2014. ,
New Scientific Contribution on the 2-D Subdomain Technique in Polar Coordinates: Taking into Account of Iron Parts, Mathematical and Computational Applications, vol.22, issue.4, p.210, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-02131027
Analytical Solution of the Magnetic Field in Permanent-Magnet Motors Taking Into Account Slotting Effect : No-Load Vector Potential and Flux Density Calculation, IEEE Transactions on Magnetics, vol.45, issue.5, p.62, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00467151
Rotor resonances of high-speed permanent-magnet brushless machines, IEEE Transactions on Industry Applications, vol.38, issue.6, pp.1542-1548, 2002. ,
Air gap magnetic flux density variations due to manufacturing tolerances in a permanent magnet synchronous generator, 2016 XXII International Conference on Electrical Machines (ICEM), p.21, 2016. ,
Acoustic noise and vibration of rotating electric machines, Proceedings of the Institution of Electrical Engineers, vol.115, issue.11, pp.1633-1640, 1968. ,
Efficient optimal design of electromagnetic actuators using space mapping. Structural and Multidisciplinary Optimization, vol.33, pp.481-491, 2007. ,
, Videos on electromagnetically-excited noise and vibrations, BIBLIOGRAPHY Eomys Engineering, 2017.
, Eomys Engineering, 2018.
Sound and Structural Vibration, p.36, 2007. ,
Estimation of induction machine inductances using threedimensional magnetic equivalent circuit, IET Electric Power Applications, vol.9, issue.2, pp.117-127, 2015. ,
Interaction between FE analysis and analytical approach in order to reduce the magnetic noise produced by a SPMSM, International Symposium on Electromagnetic Fields, p.69, 2013. ,
Design and Magnetic Noise Reduction of the Surface Permanent Magnet Synchronous Machine Using Complex Air-Gap Permeance, IEEE Transactions on Magnetics, vol.51, issue.4, pp.1-9, 2015. ,
Modulation Effect of Slotted Structure on Vibration Response in Electrical Machines machine, Transactions on Industrial Electronics, vol.33, p.204, 2018. ,
, , vol.146, p.165, 2018.
Active reduction of audible noise exciting radial force-density waves in induction motors, IEEE International Electric Machines and Drives Conference (IEMDC), p.41, 2011. ,
Effects of the Slot Harmonics on the Unbalanced Magnetic Pull in an Induction Motor With an Eccentric Rotor, IEEE Transactions on Magnetics, vol.43, issue.8, pp.3441-3444, 2007. ,
Subdomain Model for Predicting Magnetic Field in Slotted Surface Mounted Permanent-Magnet Machines With Rotor Eccentricity, IEEE Transactions on Magnetics, vol.48, issue.5, pp.1906-1917, 2012. ,
Tangential forces matter, 9th International Conference on Electrical Machines and Drives, vol.468, p.29, 1999. ,
Analytical Approach for Air-Gap Modeling of Field-Excited Flux-Switching Machine: No-Load Operation, IEEE Transactions on Magnetics, vol.48, issue.9, p.55, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00880919
Analytical armature reaction field prediction in field-excited flux-switching machines using an exact relative permeance function, IEEE Transactions on Magnetics, vol.49, issue.1, pp.628-641, 2013. ,
, , 2013.
Bidirectional Flux Variation Loci Method for Analytical Prediction of Iron Losses in Doubly-Salient Field-Excited Switched-Flux Machines, IEEE Transactions on Magnetics, vol.49, issue.7, p.63 ,
Three-dimensional analytical calculation of induction machines with multilayer rotor structure in cylindrical coordinates, Electrical Engineering, vol.86, issue.4, p.105, 2003. ,
Coupled magnetic equivalent circuits and the analytical solution in the air-gap of squirrel cage induction machines, International Journal of Applied Electromagnetics and Mechanics, vol.25, issue.1-4, pp.749-754, 2007. ,
Noise of polyphase electric motors, vol.78, p.231, 2006. ,
Design of a high-speed permanentmagnet machine for electrically-assisted turbocharger applications with reduced noise emissions, 2017 IEEE International Electric Machines and Drives Conference (IEMDC), p.30, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-02131017
The Harmonic Balance method for the solution of nonlinear circuit and field problems with harmonic sources and its integration with a commercial simulation software, p.49, 2016. ,
Illustration of rotor pole aliasing effect in induction motor line current spectrum, International Conference on Electrical and Electronics Engineering, 1999. ,
Airgap reluctance identification for the magnetic equivalent circuit modelling of induction machines, vol.68, pp.4-5, 2013. ,
Generalized harmonic modeling technique for 2D electromagnetic problems, vol.61, p.132, 2011. ,
Semi-Analytical Calculation of the Armature Reaction in Slotted Tubular Permanent Magnet Actuators, IEEE Transactions on Magnetics, vol.44, issue.11, pp.3213-3216, 2008. ,
General Formulation of the Electromagnetic Field Distribution in Machines and Devices Using Fourier Analysis. Magnetics, IEEE Transactions on, vol.46, issue.1, p.64, 2010. ,
Electromagnetic Problems in Electrical Engineering, vol.55, p.56, 1929. ,
Études Des Vibrations D'Origine Électromagnétique D'Une Machine Électrique : Conception Optimisée Et Variabilité Du Comportement Vibratoire, vol.50, p.51, 2014. ,
The classification of coupled field problems, IEEE Transactions on Magnetics, vol.35, issue.3, p.53, 1999. ,
A Novel Method for No-Load Magnetic Field Analysis of Saturated Surface Permanent-Magnet Machines Using Conformal Mapping and Magnetic Equivalent Circuits, IEEE Transactions on Energy Conversion, vol.31, issue.2, pp.740-749, 2016. ,
2-D Analytical Subdomain Model of a Slotted PMSM With Shielding Cylinder, IEEE Transactions on Magnetics, vol.50, issue.7, pp.1-10, 2014. ,
Voltage Sources in 2D Fourier-Based Analytical Models of Electric Machines, Mathematical Problems in Engineering, vol.64, p.211, 2015. ,
Time-and Spatial-Harmonic Content in Synchronous Electrical Machines, IEEE Transactions on Magnetics, vol.9464, issue.c, p.131, 2016. ,
Computational-Time Reduction of Fourier-Based Analytical Models, IEEE Transactions on Energy Conversion, vol.33, issue.1, p.135, 2018. ,
Tangential Forces in Squirrel-Cage Induction Motors, IEEE Transactions on Power Apparatus and Systems, PAS, vol.88, issue.4, pp.484-492, 1969. ,
Model Order Reduction of Non-Linear Magnetostatic Problems Based on POD and DEI Methods, IEEE Transactions on Magnetics, vol.50, issue.2, pp.33-36, 2014. ,
Computation of electromagnetic force densities: Maxwell stress tensor vs. virtual work principle, Journal of Computational and Applied Mathematics, vol.168, issue.1-2, pp.235-243, 2004. ,
A Course in Mathematical Methods for Physicists, vol.92, p.233, 2013. ,
3D modeling of double excitation synchronous motor with reluctance network, 2014 International Conference on Electrical Machines (ICEM), p.67, 2014. ,
The breathing mode-shape 0: Is it the main acoustic issue in the PMSMs of today's electric vehicles, 2014 17th International Conference on Electrical Machines and Systems (ICEMS), vol.35, p.38, 2014. ,
Contribution à l'étude des bruits acoustiques générés lors de l'association machines électriques-convertisseurs statiques de puissance. Application à la machine asynchrone, p.55, 2001. ,
Electromagnetic and Structural Coupled Simulation to Investigate NVH Behavior of an Electrical Automotive Powertrain, SAE International Journal of Alternative Powertrains, vol.1, issue.2, pp.2012-2013, 2012. ,
, Electroacoustics -Sound level meters -Part 1: Specifications, vol.7, p.37, 2013.
Modélisation des phénomènes électromagnétiques et mécaniques couples : application à l'analyse vibratoire des machines électriques, Revue de Physique Appliquée, vol.25, issue.7, p.229, 1990. ,
Stator line current spectrum content of a healthy cage rotor induction machine, 8th IEEE Symposium on Diagnostics for Electrical Machines, Power Electronics and Drives, p.23, 2011. ,
Skew and linear rise of MMF across slot modelling-winding function approach, IEEE Transactions on Energy Conversion, vol.14, issue.3, pp.315-320, 1999. ,
Electric motor silencer-formation and elimination of the noises in the electric motors, W.Giradet-Essen, vol.8, p.230, 1950. ,
, Slotless PM Machines with Skewed Winding Shapes: 3-D Electromagnetic Semianalytical Model. IEEE Transactions on Magnetics, vol.52, p.56, 2016.
Axial Unbalanced Magnetic Force in a Permanent Magnet Motor due to a Skewed Magnet and Rotor Eccentricities, IEEE Transactions on Magnetics, vol.9464, issue.c, p.39, 2017. ,
Modeling of a permanent magnet synchronous machine with internal magnets using magnetic equivalent circuits, IEEE Transactions on Magnetics, vol.50, issue.6, pp.1-1, 2014. ,
Characterization and experimental verification of the axial unbalanced magnetic force in brushless DC motors, IEEE Transactions on Magnetics, vol.48, issue.11, pp.3001-3004, 2012. ,
Contribution à la modélisation 3D des systèmes életromagnétiques basse fréquence à l'aide de la méthode d'intégration finie (FIT), vol.1, p.68, 2009. ,
Induction Motor Slot Combinations Rules to Predetermine Crawling, Vibration, Noise and Hooks in the Speed-Torque Curve, Transactions of the American Institute of Electrical Engineers, vol.50, issue.2, pp.757-767, 1931. ,
A relationship of radial force sum and current waveforms in switched reluctance motor for noise reduction, IEEE Energy Conversion Congress and Exposition (ECCE), p.42, 2015. ,
Effects of Magnetostriction on Electromagnetic Motor Vibration at Sideband Frequencies, IEEE Transactions on Magnetics, pp.1-8, 2018. ,
Low Space Order Analysis of Radial Pressure in SPMSM With Analytical and Convolution Approaches, IEEE Transactions on Magnetics, vol.52, issue.11, p.240, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01711040
Magnetostriction and its contribution to noise in a PWM inverter fed induction machine, Le Journal de Physique IV, vol.08, issue.PR2, pp.2-567, 1998. ,
Effects of boundary conditions on frequencies of a multi-layered cylindrical shell, Journal of Sound and Vibration, vol.188, issue.3, p.31, 1995. ,
Influence of dummy slots on noise and vibration performance in permanent magnet synchronous machines, 2017 IEEE Transportation Electrification Conference and Expo, p.40, 2017. ,
Reduction of magnetic noise in PWM -supplied induction machines -low-noise design rules and multi-objective optimisation, vol.33, p.78, 2008. ,
URL : https://hal.archives-ouvertes.fr/tel-00348730
Effect of lamination asymmetries on magnetic vibrations and acoustic noise in synchronous machines, 18th International Conference on Electrical Machines and Systems (ICEMS), vol.48, p.21, 2015. ,
Vibroacoustic Analysis of Radial and Tangential Air-Gap Magnetic Forces in Permanent Magnet Synchronous Machines, IEEE Transactions on Magnetics, vol.51, issue.6, p.29, 2015. ,
Fast prediction of variable-speed acoustic noise due to magnetic forces in electrical machines, 2016 XXII International Conference on Electrical Machines (ICEM), vol.50, p.53, 2016. ,
Optimal Slot Numbers for Magnetic Noise Reduction in Variable-Speed Induction Motors, IEEE Transactions on Magnetics, vol.45, issue.8, p.38, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-01713724
Characterization and Reduction of Audible Magnetic Noise Due to PWM Supply in Induction Machines, IEEE Transactions on Industrial Electronics, vol.57, issue.4, p.38, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-01711179
Bruit audible d'origine magnétique des machines asynchrones, vol.3580, p.28, 2013. ,
Prediction of Audible Magnetic Noise Radiated by Adjustable-Speed Drive Induction Machines, IEEE Transactions on Industry Applications, vol.46, issue.4, pp.1367-1373, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-01711185
Characterization and Reduction of Magnetic Noise Due to Saturation in Induction Machines, IEEE Transactions on Magnetics, vol.45, issue.4, 2003. ,
URL : https://hal.archives-ouvertes.fr/hal-01713831
Optimal slot opening width for magnetic noise reduction in induction motors, IEEE Trans. on En. Conv, vol.24, issue.4, pp.869-874, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-01731160
Bruit audible d'origine magnétique dans les machines synchrones, vol.20, p.29, 2013. ,
Effect of magnetic wedges on electromagnetically-induced acoustic noise and vibrations of electrical machines, 2016 XXII International Conference on Electrical Machines (ICEM), p.41, 2016. ,
Coupling finite elements and analytical solution in the airgap of electric machines, IEEE Transactions on Magnetics, vol.27, issue.5, p.210, 1991. ,
Force Calculation in Electromagnetic Devices, Electromagnetic Fields in Electrical Engineering, p.229, 1988. ,
URL : https://hal.archives-ouvertes.fr/hal-01704441
Analytical Synthesis of Air-Gap Field Distribution in Permanent Magnet Machines With Rotor Eccentricity by Superposition Method, IEEE Transactions on Magnetics, vol.51, issue.11, 2015. ,
Modeling and Analysis of Electromagnetic Force, Vibration, and Noise in Permanent-Magnet Synchronous Motor Considering Current Harmonics, IEEE Transactions on Industrial Electronics, vol.63, issue.12, pp.7455-7466, 2016. ,
Mémoire sur le développement des fonctions en parties de fonctions en séries dont les divers termes sont assujettis à satisfaire à une même équation différentielle du second ordre contenant un paramètre variable, Journal de mathématiques pures et appliquées, vol.1, issue.1, pp.255-265, 1836. ,
Analytical Solution of Air-Gap Field in Permanent-Magnet Motors Taking Into Account the Effect of Pole Transition Over Slots, IEEE Transactions on Magnetics, vol.43, issue.10, pp.3872-3883, 2007. ,
Exact Analytical Method for Magnetic Field Computation in the Air Gap of Cylindrical Electrical Machines Considering Slotting Effects, IEEE Transactions on Magnetics, vol.46, issue.4, p.129, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00557548
2-D Exact Analytical Model for Surface-Mounted Permanent-Magnet Motors With Semi-Closed Slots, IEEE Transactions on Magnetics, vol.47, issue.2, p.130, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00558543
Analytic Calculation of Eddy Currents in the Slots of Electrical Machines: Application to Cage Rotor Induction Motors, IEEE Transactions on Magnetics, vol.47, issue.11, p.166, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00640594
Two-dimensional analytical calculation of magnetic field and electromagnetic torque for surface-inset permanent-magnet motors, IEEE Transactions on Magnetics, vol.48, issue.6, p.112, 2012. ,
3-D Analytical Model for Axial-Flux Eddy-Current Couplings and Brakes under Steady-State Conditions, IEEE Transactions on Magnetics, vol.55, issue.10, p.56, 2015. ,
Optimal design of an axial flux switched reluctance motor with grain oriented electrical steel, 18th International Conference on Electrical Machines and Systems (ICEMS), p.68, 2015. ,
Eomys Engineering. www.manatee-software.com, Build, 2015. ,
Eomys Engineering. www.manatee-software.com, Build, vol.208, p.209, 2018. ,
3D permeance model of induction machines taking into account saturation effects and its connection with stator current and shaft speed spectra, IET Electric Power Applications, vol.9, issue.1, pp.20-29, 2015. ,
A 2D magnetic and 3D mechanical coupled finite element model for the study of the dynamic vibrations in the stator of induction motors. Mechanical Systems and Signal Processing, vol.49, p.53, 2016. ,
Modal Acoustic Transfer Vectors Make Acoustic Radiation Models Practical for Engines and Rotating Machinery, p.47, 2002. ,
Electromagnetic Fields and Interactions in 3D Cylindrical Structures : Modeling and Application door, vol.25, p.210, 2012. ,
Force calculations in 3-D cylindrical structures using fourier analysis and the maxwell stress tensor, IEEE Transactions on Magnetics, vol.49, issue.1, pp.536-545, 2013. ,
Numerical analysis of the contribution of magnetic forces and magnetostriction to the vibrations in induction machines, IET Science, Measurement and Technology, vol.1, issue.1, p.24, 2007. ,
Effect of Skewing and Pole Spacing on Magnetic Noise in Electrical Machinery, vol.56, 1935. ,
Dynamic behaviour of electric machine stators, vol.26, p.75, 2013. ,
URL : https://hal.archives-ouvertes.fr/tel-01234028
Viscoelastic property tuning for reducing noise radiated by switched-reluctance machines, Journal of Sound and Vibration, vol.407, p.41, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-02131363
Réduction des vibrations des machines à réluctances variable à l'aide d'actionneurs piézoélectriques, p.42, 2005. ,
Analytical method for the air gap permeance calculation of salient pole synchronous machines. e & i Elektrotechnik und Informationstechnik, vol.133, pp.103-111, 2016. ,
Simulated Transfer Functions for the Auralization of Electrical Machines, 1st EAA EuroRegio, 2010. ,
A Detailed Model of Induction Machines With Saturation Extendable for Fault Analysis, IEEE Transactions on Industry Applications, vol.40, issue.5, p.155, 2004. ,
Condition Monitoring and Fault Diagnosis of Electrical Motors-A Review, IEEE Transactions on Energy Conversion, vol.20, issue.4, pp.719-729, 2005. ,
Modélisation analytique des machines à aimants à induit sans encoches, Revue de Physique Appliquée, vol.25, issue.7, p.229, 1990. ,
An investigation of boundary-based field analysis methods for electric machines: the Schwarz-Christoffel and Boundary Element Methods, vol.59, p.68, 2008. ,
Analytical On-Load Subdomain Field Model of Permanent-Magnet Vernier Machines, IEEE Transactions on Industrial Electronics, vol.63, issue.7, pp.4105-4117, 2016. ,
Dynamics of Saturated Electric Machines, p.66, 1989. ,
A General Framework Based on a Hybrid Analytical Model for the Analysis and Design of Permanent Magnet Machines, IEEE Transactions on Magnetics, vol.51, issue.11, pp.1-4, 2015. ,
Design of IPMSM Applying V-Shape Skew Considering Axial Force Distribution and Performance Characteristics According to the Rotating Direction, IEEE Transactions on Applied Superconductivity, vol.26, issue.4, pp.1-5, 2016. ,
Étude Et Optimisation Du Comportement Vibro-Acoustique Des Machines Électriques : Application Au Domaine Automobile, vol.37, p.51, 2012. ,
Active reduction of electrical machines magnetic noise by the control of low frequency current harmonics, IECON 2012 -38th Annual Conference on IEEE Industrial Electronics Society, p.41, 2012. ,
Influence of the load angle on the magnetic pressure harmonic content of a WRSM, IECON 2010 -36th Annual Conference on IEEE Industrial Electronics Society, vol.19, p.42, 2010. ,
Magnetic-equivalent-circuit modelling of switched reluctance machines with mutual coupling effects, 2016 XXII International Conference on Electrical Machines (ICEM), p.66, 2016. ,
Analytical Modeling and Optimization of Pseudo-Direct Drive Permanent Magnet Machines for Large Wind Turbines, IEEE Transactions on Magnetics, vol.51, issue.12, pp.1-14, 2015. ,
Slotless permanent-magnet machines: General analytical magnetic field calculation, IEEE Transactions on Magnetics, vol.47, issue.6, pp.1739-1752, 2011. ,
Slotted Permanent-Magnet Machines: General Analytical Model of Magnetic Fields, Torque, Eddy Currents, and Permanent-Magnet Power Losses Including the Diffusion Effect, IEEE Transactions on Magnetics, vol.52, issue.5, p.211, 2016. ,
Comparison of Main Magnetic Force Computation Methods for Noise and Vibration Assessment in Electrical Machines, IEEE Transactions on Magnetics, vol.54, issue.7, p.210, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01960033
Analytical Model for Predicting Effects of Manufacturing Variations on Cogging Torque in Surface-Mounted Permanent Magnet Motors, IEEE Transactions on Industry Applications, vol.9994, issue.c, pp.1-1, 2016. ,
A model for coupled magnetic-electric circuits in electric machines with skewed slots, IEEE Transactions on Magnetics, vol.26, issue.2, 1990. ,
Analytical Calculation of the Slot Leakage Inductance in Fractional-Slot Concentrated-Winding Machines, IEEE Transactions on Industrial Electronics, vol.62, issue.5, pp.2742-2752, 2015. ,
Application of Sinusoidal Field Pole in a Permanent-Magnet Synchronous Machine to Improve the NVH Behavior Considering the MTPA and MTPV Operation Area, IEEE Transactions on Industry Applications, vol.52, issue.3, pp.2280-2288, 2016. ,
Eomys Engineering, 2018. ,
Design of Rotating Electrical Machines, p.63, 2008. ,
Analytical magnetic field calculation of slotted brushless permanent-magnet machines with surface inset magnets, IEEE Transactions on Magnetics, vol.48, issue.10, p.109, 2012. ,
Weak coupling between electromagnetic and structural models for electrical machines, IEEE Transactions on Magnetics, vol.46, issue.8, pp.2807-2810, 2010. ,
Series solutions for Laplace's equation with nonhomogeneous mixed boundary conditions and irregular boundaries, Mathematical and Computer Modelling, vol.17, issue.12, pp.9-19, 1993. ,
Numerical simulation of structural-borne vibrations due to electromagnetic forces in electric machines -coupling between Altair Optistruct and Manatee software, Researchgate, 2016. ,
Stator current harmonics and their causal vibrations: a preliminary investigation of sensorless vibration monitoring applications, IEEE Transactions on Industry Applications, vol.35, issue.1, pp.94-99, 1999. ,
Unit-wave response-based modeling of electromechanical noise and vibration of electrical machines, vol.29, p.78, 2009. ,
Convolution approach for analysis of magnetic forces in electrical machines. COMPEL -The international journal for computation and mathematics in electrical and electronic engineering, vol.29, p.239, 2010. ,
Semi-analytical modeling of spoke-type permanent-magnet machines considering the iron core relative permeability: subdomain technique and taylor polynomial, Progress In Electromagnetics Research B, vol.77, issue.1, pp.85-101, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-02131015
New Subdomain Technique for Electromagnetic Performances Calculation in Radial-Flux Electrical Machines Considering Finite Soft-Magnetic Material Permeability, IEEE Transactions on Magnetics, vol.54, issue.4, pp.1-15, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-02131049
Technique en Sous-Domaines Élémentaires dans les Machines Asynchrones à Cage d'Écureuil : Saturation Magnétique Locale et Courants de Foucault dans les Barres, Symposium De Genie Electrique, vol.65, p.210, 2018. ,
Analytical Electromagnetic Analysis of Multi-Phases Cage Rotor Induction Motors in Healthy, Broken Bars and Open Phases Conditions, Progress In Electromagnetics Research B, vol.70, p.65, 2016. ,
Sur le calcul des forces magnétiques, Journal de Physique III, vol.2, issue.5, 1992. ,
Finite Element Torque Calculation In Electrical Machines While Considering the Mouvement, IEEE Transactions on Magnetics, vol.28, pp.1410-1413, 1992. ,
Structure-Dynamic Analysis of an Induction Machine Depending on Stator-Housing Coupling, IEEE Transactions on Industry Applications, vol.44, issue.3, pp.753-759, 2008. ,
Critical Review of the Modified Winding Function Theory, vol.133, pp.515-534, 2012. ,
A Possible Method for Magnetostrictive Reduction of Vibration in Large Electrical Machines, IEEE Transactions on Magnetics, vol.47, issue.2, p.42, 2011. ,
Analytical prediction for electromagnetic performance of interior permanent magnet machines based on subdomain model, AIP Advances, vol.7, issue.5, 2017. ,
Modeling and analysis of effects of skew on torque ripple and stator tooth forces in permanent magnet AC machines, IEEE Energy Conversion Congress and Exposition (ECCE), vol.40, p.74, 2012. ,
Vibrations of shells and plates. Marcel Dekker, vol.31, p.75, 1993. ,
Calculation of induced rotor current in induction motors using a slotted semi-analytical harmonic model, Proceedings -2014 International Conference on Electrical Machines, vol.31, pp.2709-2714, 2014. ,
Magnetic Saturation in Semi-Analytical Harmonic Modeling for Electric Machine Analysis, IEEE Transactions on Magnetics, vol.52, issue.2, p.69, 2016. ,
Electric circuit coupling of a slotted semi-analytical model for induction motors based on harmonic modeling, IEEE Energy Conversion Congress and Exposition (ECCE), vol.50, p.211, 2014. ,
Semianalytical Framework for Synchronous Reluctance Motor Analysis Including Finite Soft-Magnetic Material Permeability, IEEE Transactions on Magnetics, vol.51, issue.11, pp.1-4, 2015. ,
Magnetic Equivalent Circuit Modeling of Induction Motors, IEEE Transactions on Energy Conversion, vol.22, issue.2, pp.259-270, 2007. ,
Vibro-acoustic simulation and optimization of a claw-pole alternator, IEEE Transactions on Industry Applications, vol.52, issue.99, p.68, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01991142
Prediction of Electromagnetic Forces and Vibrations in SRMs Operating at Steady-State and Transient Speeds, IEEE Transactions on Industry Applications, vol.41, issue.4, pp.927-934, 2005. ,
Electromagnetic forces acting between the stator and eccentric cage rotor, vol.22, p.35, 2003. ,
Modeling and Analysis of Synchronous Reluctance Machines With Circular Flux Barriers Through Conformal Mapping, IEEE Transactions on Magnetics, vol.51, issue.4, pp.1-11, 2015. ,
On the analytical estimation of the airgap field in synchronous reluctance machine, 2014 International Conference on Electrical Machines (ICEM), p.66, 2014. ,
Overview of analytical models of permanent magnet electrical machines for analysis and design purposes, Mathematics and Computers in Simulation, vol.90, pp.162-177, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-01966491
Noise and vibration of electrical machines, vol.33, p.72, 1989. ,
Transient analysis of cage induction machines under stator, rotor bar and end ring faults, IEEE Transactions on Energy Conversion, vol.10, issue.2, pp.241-247, 1995. ,
Fast Computation of Electromagnetic Vibrations in Electrical Machines via Field Reconstruction Method and Knowledge of Mechanical Impulse Response, IEEE Transactions on Industrial Electronics, vol.59, issue.2, pp.839-847, 2012. ,
Vibrational Forces in Salient Pole Synchronous Machines Considering Tooth Ripple Effects, IEEE Transactions on Industrial Electronics, vol.59, issue.5, pp.2258-2266, 2012. ,
An Investigation Into the Coupling of Magnetic and Thermal Analysis for a Wound-Rotor Synchronous Machine, IEEE Transactions on Industrial Electronics, vol.65, issue.4, p.68, 2018. ,
Influence of Converter Topology and Carrier Frequency on Airgap Field Harmonics, Magnetic Forces, and Vibrations in Converter-Fed Hydropower Generator, IEEE Transactions on Industry Applications, vol.54, issue.3, p.38, 2018. ,
Effects of Loading and Slot Harmonic on Radial Magnetic Forces in Low-Speed Permanent Magnet Machine With Concentrated Windings, IEEE Transactions on Magnetics, vol.51, issue.6, pp.1-10, 2015. ,
Analysis of electromagnetic acoustic noise excitations: A contribution to low-noise design and to the auralization of electrical machines, Rheinisch-Westfalische Technische Hochschule Aachen, vol.37, p.78, 2011. ,
Calculation of radial magnetic forces for the analysis of noise and vibrations of squirrel-cage induction motors, Eighth International Conference on Electrical Machines and Drives, vol.1997, p.66, 1997. ,
Noise and Vibration Control Engineering, p.39, 2005. ,
Contribution à l'étude des émissions vibro-accoustiques des machines électriques. Cas des machines synchrones à aimants dans un contexte automobile, p.66, 2014. ,
Natural frequencies analytical modeling of small industrial radial flux permanent magnet motors, 18th International Conference on Electrical Machines and Systems (ICEMS), p.75, 2015. ,
The sound radiation efficiency of finite length circular cylindrical shells under mechanical excitation II: limitations of the infinite length model, Journal of Sound and Vibration, vol.241, issue.5, pp.825-838, 2001. ,
Analytical Field Calculation of Doubly Fed Induction Generator with Core Saturation Considered, 8th IET International Conference on Power Electronics, Machines and Drives (PEMD 2016), p.64, 2016. ,
Contribution to Finite Element Analysis of Magneto-Mechanical and Magneto-Thermal Phenomena, vol.1, p.53, 2013. ,
Computation of Rotating Force Waves in Skewed Induction Machines Using Multi-Slice Models, IEEE Transactions on Magnetics, vol.47, issue.5, p.240, 2011. ,
An Analytical Model of Unbalanced Magnetic Force in Fractional-Slot Surface-Mounted Permanent Magnet Machines, IEEE Transactions on Magnetics, vol.46, issue.7, pp.2686-2700, 2010. ,
An Improved Subdomain Model for Predicting Magnetic Field of Surface-Mounted Permanent Magnet Machines Accounting for Tooth-Tips, IEEE Transactions on Magnetics, vol.47, issue.6, pp.1693-1704, 2011. ,
A Generalized Method of Electromagnetic Vibration Analysis of Amorphous Alloy Permanent Magnet Synchronous Machines, IEEE Transactions on Magnetics, vol.24, pp.1-5, 2018. ,
Analytical Modeling and Analysis of Surface Mounted Permanent Magnet Machines With Skewed Slots, IEEE Transactions on Magnetics, vol.51, issue.5, pp.1-8, 2015. ,
Acoustic Noise/Vibration Reduction of a Single-Phase SRM Using Skewed Stator and Rotor, IEEE Transactions on Industrial Electronics, vol.60, issue.10, pp.4292-4300, 2013. ,
Low noise electrical motors, vol.28, p.78, 1981. ,
Electromagnetic and vibrational characteristic of IPM over full torque-speed range, 2013 International Electric Machines and Drives Conference, vol.35, p.38, 2013. ,
Noise reduction by torque ripple suppression in brushless DC motor, PESC 98 Record. 29th Annual IEEE Power Electronics Specialists Conference (Cat. No.98CH36196), vol.2, pp.1397-1401, 1998. ,
A Three-Dimensional Semi-Analytical Study of the Magnetic Field Excitation in a Radial Surface Permanent-Magnet Synchronous Motor, IEEE Transactions on Magnetics, vol.42, issue.12, p.56, 2006. ,
Analytical Calculation of Magnetic Field Distribution in the Slotted Air Gap of a Surface Permanent-Magnet Motor Using Complex Relative Air-Gap Permeance, IEEE Transactions on Magnetics, vol.42, issue.7, p.59, 2006. ,
Analytical Solution for Electromagnetic Torque in Surface Permanent-Magnet Motors Using Conformal Mapping, IEEE Transactions on Magnetics, vol.45, issue.7, p.60, 2009. ,
A hybrid analytical model for open-circuit field calculation of multilayer interior permanent magnet machines, Journal of Magnetism and Magnetic Materials, vol.435, p.210, 2017. ,
Rotor Notching for Electromagnetic Noise Reduction of Induction Motors, IEEE Transactions on Industry Applications, vol.53, issue.4, pp.3361-3370, 2017. ,
Analytical Modeling of Open-Circuit Air-Gap Field Distributions in Multisegment and Multilayer Interior Permanent-Magnet Machines, IEEE Transactions on Magnetics, vol.45, issue.8, p.68, 2009. ,
On the effect of stator excitation on radial and tangential flux and force densities in a permanent magnet synchronous machine, IEEE International Conference on Electric Machines and Drives, vol.19, p.42, 2005. ,
Combined complex permeance and sub-domain model for analytical predicting electromagnetic performance of surface-mounted pm machines, 5th IET International Conference on Power Electronics, Machines and Drives (PEMD 2010), vol.69, p.211, 2010. ,
The electromagnetic performance of brushless permanent magnet DC motors, vol.26, p.59, 1991. ,
Instantaneous magnetic field distribution in brushless permanent magnet DC motors. III. Effect of stator slotting, IEEE Transactions on Magnetics, vol.29, issue.1, pp.143-151, 1993. ,
Influence of Slot and Pole Number Combinations on Unbalanced Magnetic Force in PM Machines With Diametrically Asymmetric Windings, IEEE Transactions on Industry Applications, vol.49, issue.1, p.65, 2013. ,
An Accurate Subdomain Model for Magnetic Field Computation in Slotted Surface-Mounted Permanent-Magnet Machines, IEEE Transactions on Magnetics, vol.46, issue.4, p.134, 2010. ,
Analytical Modeling and Finite-Element Computation of Radial Vibration Force in Fractional-Slot Permanent-Magnet Brushless Machines, IEEE Transactions on Industry Applications, vol.46, issue.5, pp.1908-1918, 2010. ,
Analysis of Global and Local Force Harmonics and Their Effects on Vibration in Permanent Magnet Synchronous Machines, IEEE Transactions on Energy Conversion, vol.32, issue.4, p.74, 2017. ,
, LIST OF ACRONYMS FRF Frequency Response Function, vol.46, p.209, 0206.
, FSM Flux-Switching Machine, vol.63
, , vol.71, p.74
, HBC Homogeneous Boundary Condition. 91-93, vol.97, pp.234-237
, HEV Hybrid Electric Vehicle, vol.9, pp.37-39
, IC Interface Condition, vol.61, p.237
, IM Induction Machine, vol.17, p.211
, IPMSM Interior Permanent Magnet Synchronous Machine. 9, vol.18, p.240
, MEC Magnetic Equivalent Circuit, vol.50, p.210
, , vol.58, p.240, 0207.
, MSP Magnetic Scalar Potential, vol.55, p.66
, , vol.25, p.240
, MVP Magnetic Vector Potential, vol.55, pp.231-237
, NBC Non-homogeneous Boundary Condition, vol.90, p.112
, NVH Noise, Vibrations, and Harshness. 6, 7, 28, vol.33, p.77
, ODE Ordinary Differential Equation, vol.82, p.233
, ODS Operational Deflection Shape, vol.172, p.211
, OMA Operational Modal Analysis, p.75
, PBC Periodic Boundary Condition, vol.92, p.235
, RSH Rotor Slot Harmonic, vol.47, p.175
, SCIM Squirrel Cage Induction Machine. 7, 9, vol.10, p.211
, , vol.9, p.238
, , vol.20, p.211
, SoV Separation of Variables, vol.82, p.96
, SPL Sound Pressure Level, vol.6, p.211
, SPMSM Surface Permanent Magnet Synchronous Machine. 9, vol.10, pp.209-211, 0207.
, SRIM Solid Rotor Induction Machine, vol.56, p.130
, SRM Switched Reluctance Machine, vol.17, p.77
, , vol.210, p.211, 0206.
, SynRM Synchro-Reluctant Machine, vol.17, p.210
, UMF Unbalanced Magnetic Force, vol.26, p.39
, UMP Unbalanced Magnetic Pull, vol.26, p.202
, VWP Virtual Work Principle, vol.70, p.73
, WRSM Wound Rotor Synchronous Machine, vol.17, p.209