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© EOMYS ENGINEERING 2013- www.eomys.com ACOUSTIC NOISE AND VIBRATIONS OF ELECTRIC POWERTRAINS Focus on electromagnetically-excited NVH for automotive applications and EV/HEV 1 LE BESNERAIS Jean [email protected] Note: this presentation is based on extracts of EOMYS technical training https://eomys.com/services/article/formations?lang=en Part 7 Conclusions and references

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Page 1: ACOUSTIC NOISE AND VIBRATIONS OF ELECTRIC  · PDF fileFocus on electromagnetically-excited NVH for automotive applications and EV/HEV 1 LE BESNERAIS Jean contact@eomys.com

© EOMYS ENGINEERING 2013- www.eomys.com

ACOUSTIC NOISE AND VIBRATIONS OF ELECTRIC POWERTRAINS

Focus on electromagnetically-excited NVH for automotive applications and EV/HEV

1

LE BESNERAIS Jean

[email protected]

Note: this presentation is based on extracts of EOMYS technical traininghttps://eomys.com/services/article/formations?lang=en

Part 7 Conclusions and references

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CONCLUSIONS

2

• ICE vehicles, HEV and EV increasingly contain passive and active electrical systems which are significant sources of high frequency acoustic noise and vibrations

• In HEV/EV electromagnetic forces, mechanical imbalance and aerodynamics are main NVH sources

• Electromagnetic noise & vibrations can be significantly reduced (up to 40dB) when their root cause isidentified and cancelled

• Mitigation of electromagnetic NVH requires both skills in electrical engineering and vibro-acoustics

• Passive components can create noise at fswi or 2fswi depending on topology

• Traction electric motors generally create magnetic noise at LCM(Zs,2p)fR=ZsfR in PMSM (stator slot passing frequency) and at ZrfR (rotor slot passing frequency) for SCIM

• Magnetic noise of PMSM is generally controlled by pulsating force waves (r=0), whereas SCIM magneticforce wave may include other even wavenumbers (r=2, 4)

• More complex excitations occur in real machines due to uneven airgap and eccentricities

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• Electromagnetic and vibro-acoustic simulation is advised at early design electromagnetic stage of electrical systems

• Numerical simulation can help during- basic electromagnetic design of electric motors- detailed NVH design of electric powertrain- after manufacturing for NVH test interpretations and noise diagnosis

• Fully numerical study of electrical NVH is not straight forward and time consuming

• Semi-analytical models can be used in early electromagnetic design phase, to better understand the physics and catch the trends (e.g. NVH impact of tolerances) -> use of MANATEE software

• Detailed experimental characterization is advised step by step during manufacturing process

• Experiments reproducibility should be carefully assessed

• Psychoacoustics of electromagnetically-excited NVH has to be further evaluated (roughness of PWM, loudness of pole/slot excitation): what is a pleasant electrical noise? How does a high quality or powerful electric motor sound like?

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• Resources:

- EOMYS website (currently 3 online webinars + publications) at www.eomys.com

- MANATEE software trial version at www.manatee-software.com

- EOMYS newsletter https://eomys.com/actualites/newsletter/?lang=en

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Thank you for your attention

[email protected]

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REFERENCES

[R2] ATKEARNEY report[R3] De Madinabeitia

Advanced Electrical Machine Technologies for Electric and Hybrid Electric Vehicle Applications - erence, 2015[R5] Wolschendorf J., Rzemien K., Gian D. J., Development of Electric and Range-Extended Electric Vehicles through Collaboration Partnerships, SAE 2010-01-2344, 2010.

InterNoise 2014Behaviour

[R8] Ma C. et al., Sound quality evaluation of noise of hub permanent magnet synchronous motors for electric vehicles, IEEE Transactions on industrial electronics, 2016.[R9] Eisele G. et al., Electric vehicle sound design Just wishful thinking?, Proceedings of Aachen acoustic colloquium, 2010.[R10] Misdariis N. et al. Detectability study of warning signals in urban background noises: a first step for designing the sound of electric vehicles, Proceedings of ICA, Montreal, Canada, 2013.[R11] D. Lennström[R12] C. Stuckmann Maccon Gmbh, Altair EM- Event Böblingen - 27.09.2016

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REFERENCES[B1] J. Roivainen, UNIT-WAVE RESPONSE-BASED MODELING OF ELECTROMECHANICAL NOISE AND VIBRATION OF ELECTRICAL MACHINES, Doctoral Dissertation. 2009.[B2] J. Le Besnerais, P. Pellerey, V. Lanfranchi « 013[B3] M. Bekemans, Modélisation des machines électriques en vue du contrôle des efforts radiaux, PhD Dissertation[B4] Annabel Shahaj, Mitigation of vibration in large electrical machines, PhD Dissertation, 2010[B5] M. Valavi, A. Nysveen, S. Member, R. Nilssen, R. D. Lorenz, and T. Rølvåg - 11, 2013.[B6] A. Belahcen Magnetoelasticity, magnetic forces and magnetostriction[B7] L Laftman magnetostriction[B8] Soedel, Vibrations of Shells and Plates, Third Edition, Marcel Dekker, 2004[B9] J. LE BESNERAIS, Reduction of audible noise due to magnetic forces in PWM-supplied induction machines low-noise design rules and multiobjective optimization, PhD thesis, Ecole Centrale Lille, France, 2008[B10] K. A. Fonteyn et al., Contribution of Maxwell Stress in Air on the Deformations of Induction Machines, Journal of Electrical Engineering & Technology Vol. 7, No. 3, pp. 336~341, 2012 [B11] Holopainen, Electromechanical interaction in rotor dynamics of cage induction motors, PhD Dissertation, Helsinki University of Technology, 2004[B12] Braunisch, D.; Ponick, B.; Bramerdorfer, G., "Combined Analytical Numerical Noise Calculation of Electrical Machines Considering Nonsinusoidal Mode Shapes," Magnetics, IEEE Transactions on , vol.49, no.4, pp.1407,1415, April 2013[B13] Jian Li, Investigation into Reduction of Vibration and Acoustic Noise in Switched Reluctance Motors in Radial Force Excitation and Frame Transfer Function Aspects [B14] Mechanism of Noise Generation on Outer Rotor Motor, Kazumasa IKEDA1; Junichi SEMURA2; Tsukasa OHZAWA3, INTERNOISE 2014[B15] Large-Band Reduction of Magnetic Vibrationsof -of- Durantay, IEEE Trans on Ind App, 2000[B16] Tan-Kim, A.; Lanfranchi, V.; Legranger, J.; Palleschi, F.; Redon, M., "Influence of temperature on the vibro-acoustic behavior of claw-pole alternators," in Electrical Machines (ICEM), 2014 International Conference on , vol., no., pp.1628-1634, 2-5 Sept. 2014[B17] S. J. Sung Vi b r a t i o n a n d N o i s e i n a H D D S p i n d l e M o t o r A r i s i n g f ro m t h e A x i a l U M F R i p p l e[B18] Gyu-Hong Kang,The Noise and Vibration Analysis of BLDC Motor D u e t o A s y m m e t r i c a l P e r m a n e n t - M a g n e t Overhang Effects[B19] A. Arkkio, Electromagnetic damping of stator vibrations in a cage induction motor[B20] Martti Verho and Paul Klinge, Sound radiation from vibrating cooling ribs[B21] Design of IPMSM Applying V-Shape Skew Considering Axial Force Distribution and Performance Characteristics According to the Rotating Direction[B22] Garvey, The response of electrical machine stators to magnetic forcing[B23] Boesing, « Acoustic modeling of electrical drives -[B24] Bernard, R., Bigot, P., Dubas, F., Chamagne, D., & Espanet, C. (n.d.). Consideration of Radial Magnetic Forces in Brushless DC Motors.[B25] Analysis of Force and Torque Harmonic Spectrum in an Induction Machine for Automotive NVH Purposes, Inigo Garcia, Chalmers 2016[B26] Akira Shiba[B27] P. Kotter, Efficient Noise-Vibration-Harshness Modelling of Servo- and Traction Drives, 2016[B28] C. Bruzzese and E. Santini, "Study of cage torsional resonance failures in inverter-fed fabricated-cage induction motors used in traction drives," 2016 IEEE International Power Electronics and Motion Control Conference (PEMC), Varna, 2016, pp. 650-657[B29] M. Kirschneck,, « Effects of Magneto-[B30] A. Wang et al., « On the Material and Temperature Impacts of Interior Permanent Magnet Machine for Electric Vehicle Applications[B31] Y. Yu et al., "Incline Unbalanced Magnetic Pull Induced by Misalignment Rotor in PMSM," in IEEE Transactions on Magnetics, vol. 49, no. 6, pp. 2709-2714, June 2013.[B32] J. Y. Kim et al. «[B33] S.L. Nau, B.C. Bork, H.L.V. dos Santos, N. Sadowski, R. Carlson, The influence of the frame and windings on the natural frequencies of stator of induction motors, submitted to IEEE, 2006.[B34] P. Pillay and W. Cai, An investigation into vibration in switched reluctance motors, IEEE Trans. Ind. Applicat. 35, 1999.[B36] J. Sun, Q. Zhan, S. Wang and Z. Ma, A novel radiating rib structure in switched reluctance motors for low acoustic noise, IEEE Trans. Magn. 43(9), 2007.[B37] Tan- Thesis, Université de Compiègne, France

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REFERENCES[B38] Tetreault, A., Zhengping, Z., & Tétreault, A. (2013). End-winding vibration monitoring: Pivotal in preventing major damage on a large turbo-generator. 2013 IEEE Electrical Insulation Conference, EIC 2013, (June), 1 6. http://doi.org/10.1109/EIC.2013.6554190[B39] L. Naranpanawe and C. Ekanayake, "Finite element modelling of a transformer winding for vibration analysis," 2016 Australasian Universities Power Engineering Conference (AUPEC), Brisbane, QLD, 2016, pp. 1-6.doi: 10.1109/AUPEC.2,,016.7749344[B40] P. Shuai and J. Biela, "Investigation of acoustic noise sources in medium frequency, medium voltage transformers," 2014 16th European Conference on Power Electronics and Applications, Lappeenranta, 2014, pp. 1-11.doi: 10.1109/EPE.2014.6910949[B41] Investigations of the audible noise of inductors with respect to different ferromagnetic materials, Terörde, Gerd; Schneider, Jürgen; Hameyer, Kay, COMPEL: Int J for Computation and Maths. in Electrical and Electronic Eng., Volume 18, Number 4, 1999, pp. 647-655(9)

[B43] Weiser, B., Pfützner, H., & Anger, J. (2000). Relevance of Magnetostriction and Forces for the Generation of Audible Noise of Transformer Cores, 36(5), 3759 3777.[B44] Penin, R., Lecointe, J.-P., Parent, G., Brudny, J.-F., & Belgrand fects. IEEE Transactions on Industrial Electronics, 61(c), 1 8. http://doi.org/10.1109/TIE.2013.2276772[B45] Hilgert, T., Vandevelde, L., & Melkebeek, J. (2005). Application of magnetostriction measurements for the computation of deformation in electrical steel. Journal of Applied Physics, 97(10), 10E101. http://doi.org/10.1063/1.1847951[B46] Vandevelde, L., Gyselinck, J., Wulf, M. A. C. De, Melkebeek, J. A. A., & Member, S. (2004). Finite-Element Computation of the Deformation of Ferromagnetic Material Taking Into Account Magnetic Forces and Magnetostriction, 40(2), 565 568.[B47] Ali Emadi, Kauskik Rajashekara, Sheldon Wiliamson and Srdjan Lukic,Topological Overview of Hybrid Electric and Fuel Cell Vehicular Power System Architectures and Configurations, IEEE Transactions on Vehicular Technology, Vol. 54, No. 3, May 2005[B48] EVALUATION OF 2005 HONDA ACCORD HYBRID ELECTRIC DRIVE SYSTEM, ORNL, 2006[B49] Rossi, M., & Le Besnerais, J. (n.d.). Vibration Reduction of Inductors under Magnetostrictive and Maxwell Forces Excitation. IEEE Transactions on Magnetics, (99), 1 7.[B50] J.-B. Dupont, P. Bouvet, « Noise radiated by an electrical powertrain: multiphysical Congrès Français de Mécanique, 2013[B51] Philipp Kotter1,2, Wolfgang Bischof1, Ralph Kennel, Oliver Zirn -vibration-harshness-modeling for squirrel- oceedings, 2017

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REFERENCES[C1] S. E. Skaar, Ø. Krøvel, and R. Nilssen -[C2] Roytgarts, ELECTROMAGNETIC FORCES IN INDUCTION MOTOR WITH NONSINUSOIDAL POWER SUPPLY [C3] H. Guldemir

Vibroacoustic[C5] TRAXLER-SAMEK (G.), LUGAND (T.), et UEMORI (M.), « Vibrational Forces in Salient Pole Synchronous Machines Considering Tooth Ripple Effects », IEEE Trans. on Ind. Elec, Vol 59, No 5, mai 2012[C6] P. Pellerey ations During a Full Run Trans. on Ind. Elec[C7] M. Boesing, M. Niessen, T. Lange, and R. De Doncker Modeling XXth Int. Conf. Electr. Mach., pp. 30013007, Sep. 2012.[C8] Z. Q. Zhu, Z. Azar, and G. Ombach -Magnet Machines Having Modular Stator 2055, 2012.[C9] ans on Energy Conversion, 2014.[C10] Modeling and control of radial forces due to electromagnetic force in IPMSMs, M. Kanematsu et al, EVTeC, 2014[C11] Tao Sun; Ji-Min Kim; Geun-Ho Lee; Jung-Pyo Hong; Myung-Ryul Choi, "Effect of Pole and Slot Combination on Noise and Vibration in Permanent Magnet Synchronous Motor," Magnetics, IEEE Transactions on , vol.47, no.5, pp.1038,1041, May 2011[C12] S. Nandi, S. Ahmed, S. Member, H. A. Toliyat ere 260, 2001.[C13][C14] G. Joksimovic, et al. « Stator line current spectrum content of a heathy cage rotor induction machine », IEEE 2011[C15] Spectrum of induction machine stator currents, affected by clutch wobbling and mixed eccentricity, Saled S Hamad Elawgali, 2009[C16] M. Valavi, A. Nysveen, R. Nilssen, and T. Rolvag Harmonic Effect on Magnetic Forces and Vibration in Low-Speed Permanent Magnet Machine with Concentrated Windings Ind. Appl., vol. 9994, no. c, pp. 1 1, 2014.[C17] Cameron, J.R.; Thomson, W.T.; Dow, A.B., "Vibration and current monitoring for detecting airgap eccentricity in large induction motors," in Electric Power Applications, IEE Proceedings B , vol.133, no.3, pp.155-163, May 1986[C18] Ebrahimi, B.M.; Faiz, J.; Roshtkhari, M.J., "Static-, Dynamic-, and Mixed-Eccentricity Fault Diagnoses in Permanent-Magnet Synchronous Motors," in Industrial Electronics, IEEE Transactions on , vol.56, no.11, pp.4727-4739, Nov. 2009[C19] Tsoumas, I.P.; Tischmacher, H.; Eichinger, B., "Influence of the number of pole pairs on the audible noise of inverter-fed induction motors: Radial force waves and mechanical resonances," in Electrical Machines (ICEM), 2014 International Conference on , vol., no., pp.1811-1817, 2-5 Sept. 2014[C20] Kazumasa IKEDA et al, Mechanism of Noise Generation on Outer Rotor Motor, INTERNOISE 2014[C21] Mohamed Yazid Kaikaa et al, ANALYTICAL ANALYSIS OF ROTOR SLOT HARMONICS IN THE LINE CURRENT OF SQUIRREL CAGE INDUCTION MOTORS, 2006[C22] M. Thiele, G. Heins pp. 2728 2733, 2014

-magnet dir Magn., vol. 48, no. 5 PART 2, pp. 1924 1931, 2012..[C24] M. Boesing Synthesis based on Force Response Fakultät für Elektrotechnik und Informationstechnik der Rheinisch-Westfälischen Technischen Hochschule Aachen, 2013.[C25] Torsion power train [C26] M. Benbouzid, What Stator Current Processing Based Technique to Use for Induction Motor Rotor Faults Diagnosis?[C27] R. Belmans, A. Vandenput and W. Geysen Archiv für Elektrotechnik, Vol. 70, 1987, pp. 151-161.[C28] Mohamed Yazid Kaikaa, ANALYTICAL ANALYSIS OF ROTOR SLOT HARMONICS IN THE LINE CURRENT OF SQUIRREL CAGE INDUCTION MOTORS, Journal of ELECTRICAL ENGINEERING, VOL. 57, NO. 1, 2006, 1219

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REFERENCESmodélisation de la machines asynchronous triphasée dédiée Ghoggal, 2010

[C30] Kliman Electr. Mach. Power Syst., 1992, 20, (5), pp. 463 474[C31] B. Hannon, P. Sergeant and L. Dupré, "Time- and Spatial-Harmonic Content in Synchronous Electrical Machines," in IEEE Transactions on Magnetics, vol. 53, no. 3, pp. 1-11, March 2017.[C32] J. Y. Kim et al. « Characterization and Experimental Verification of the Axial Unbalanced Magnetic Force in Brushless DC Motors[C33] R Casimi, Diagnostic des défauts des machines asynchrones par reconnaissance des formes, 2007[C34] W. le Roux, R. G. Harley, and T. G. Habetler Detecting rotor faults in low power permanent magnet synchronous 328, Jan. 2007.[C35] F. Lin, S. Zuo, W. Deng and S. Wu, "Modeling and Analysis of Electromagnetic Force, Vibration, and Noise in Permanent-Magnet Synchronous Motor Considering Current Harmonics," in IEEE Transactions on IndustrialElectronics, vol. 63, no. 12, pp. 7455-7466, Dec. 2016. doi: 10.1109/TIE.2016.2593683[C36] Optimization Research of Low Vibration and Noise of PMSM for Electric Vehicles, IEEE TIE, 2017[C37] Farzam, Vibration as Fault Indicator in Electrical Machines[C38] H. Guldemir, K. J. Bradley (2001) The Effect of Rotor Design on Rotor Slot Harmonics in Induction Machines, Electric Power Components and Systems, 29:9, 771-788, DOI: 10.1080/153250001317094199[C39] Mitsubishi Elecitrc Advance vol103 2003 ISSN 1345-3041[C40] J. Le Besnerais, "Effect of lamination asymmetries on magnetic vibrations and acoustic noise in synchronous machines," 2015 18th International Conference on Electrical Machines and Systems (ICEMS), Pattaya, 2015, pp. 1729-1733. doi: 10.1109/ICEMS.2015.7385319[C41] J. D. M. De Kooning, J. Van de Vyver, T. L. Vandoorn, B. Meersman and L. Vandevelde, "Impact of speed ripple on the back-emf waveform of permanent magnet synchronous machines," in IET Electric Power Applications, vol. 7, no. 5, pp. 400-407, May 2013.doi: 10.1049/iet-epa.2012.0334[C42] Characteristics analysis of electromagnetic force and noise of claw pole alternators with different pole and slot combinations and phase number

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REFERENCES[D1] Krishnamurthy, M.; Fahimi, B., "Qualitative analysis of force distribution in a 3-phase Permanent Magnet Synchronous Machine," Electric Machines and Drives Conference, 2009. IEMDC '09. IEEE International , vol., no., pp.1105,1112, 3-6 May 2009[D2] J. Roivainen, UNIT-WAVE RESPONSE-BASED MODELING OF ELECTROMECHANICAL NOISE AND VIBRATION OF ELECTRICAL MACHINES, Doctoral Dissertation. 2009.[D3] M. Van Der Giet, D. Franck, R. Rothe, and K. Hameyer -and-easy acoustic optimization of PMSM by means of hybrid modeling and FEM-to- 6, 2010.[D4] Boesing, M.; Schoenen, T.; Kasper, K.A; De Doncker, R.W., "Vibration Synthesis for Electrical Machines Based on Force Response Superposition," Magnetics, IEEE Transactions on , vol.46, no.8, pp.2986,2989, Aug. 2010[D5] s ([D6] Belahcen, A 2000, Methods of Calculating the Magnetic Forces for Vibration and Noise Analysis in Electrical Machines.Acta Polytechnica Scandinavica, Electrical Engineering Series No 103. Finnish Academies of Technology, Espoo[D7] Jahyun Nam, Chiho Kang, Jeongyong Song, and Gunhee Jang, « Comparison of one-way and two- , [D8] Kirschneck M, Rixen DJ, Polinder H, van Ostayen RJ. Electromagnetomechanical Coupled Vibration Analysis of a Direct-Drive Off-Shore Wind Turbine Generator. ASME. J. Comput. Nonlinear Dynam. 2015[D9] M. Regniez, J. Le Besnerais, Q. Souron, P. Bonneel -borne vibrations due to electromagnetic forces in electric machines coupling between Altair Optistruct[D10] Gieras, Noise of Polyphase Electric Motors, CRC Press[D11] Verez, G., & Espanet, C. (2015). Natural Frequencies Analytical Modeling of Small Industrial Radial Flux Permanent Magnet Motors. 2015 18th International Conference on Electrical Machines and Systems (ICEMS), 1963 1969. http://doi.org/10.1109/ICEMS.2015.7385362

[D12] Coulomb, J. L. (1983). A methodology for the determination of global electromechanical quantities from a finite element analysis and its application to the evaluation of magnetic forces, torques and stiffness. IEEE Transactions on Magnetics, 19(19), 2514. http://doi.org/10.1109/TMAG.1983.1062812[D13] Henrotte, F., & Hameyer, K. (2004). Computation of electromagnetic force densities: Maxwell stress tensor vs. virtual work principle. Journal of Computational and Applied Mathematics, 168(1-2), 235 243. http://doi.org/10.1016/j.cam.2003.06.012[D14] Boesing, M. (2013). Noise and Vibration Synthesis based on Force Response Superposition. Fakultät für Elektrotechnik und Informationstechnik der Rheinisch-Westfälischen Technischen Hochschule Aachen.[D15] F. ZIDAT, H. ENNASSIRI : FLUX CEDRAT presentation, 2015, « Vibro‐acoustics Analysis for noise reduction of electric machines Example: Synchronous Machine [D16] McCulloch, C., Tournour, M., & Guisset, P. (n.d.). Modal Acoustic Transfer Vectors Make Acoustic Radiation Models Practical for Engines and Rotating Machinery. LMS International, Leuven, Belgium. Retrieved fromhttp://easc.ansys.com/staticassets/ANSYS/staticassets/resourcelibrary/confpaper/2002-Int-ANSYS-Conf-209.pdf[D17] M. Régniez, Q. Souron, P. Bonneel -borne vibrations due to electromagnetic forces in electric machines - coupling between Altair Optistruct and Manatee

-vibroacoustic analysis: a new dedicated context inside Cedrat News, 2013[D19] K. Vansant From Tesla to Pascal, a magneto-vibroacoustic analysis linking Flux® to LMS Virtual. Lab Cedrat News, 2014[D20] Dr ngs of NAFEMS conference, 2014[D21] M. Solveson, C. Rathod, M. Hebbes, G. Verma, T. Sambharam[D22] du thesis (in French), 2014[D23] Pellerey, P.; Lanfranchi, V.; Friedrich, G., "Coupled Numerical Simulation between Electromagnetic and Structural Models. Influence of the Supply Harmonics for Synchronous Machine Vibrations," in Magnetics, IEEE Transactions on , vol.48, no.2, pp.983-986, Feb. 2012,[D24] V. Wilow Electromagnetical

[D26] M. K. Nguyen, R. Haettel and A. Daneryd[D27] https://www.jmag-international.com/newsletter/201401/05.html[D28] F. Chauvicourt, C. Faria, A. Dziechciarz and C. Martis, "Infuence of rotor geometry on NVH behavior of synchronous reluctance machine," 2015 Tenth International Conference on Ecological Vehicles and Renewable Energies (EVER), Monte Carlo, 2015, pp. 1-6.[D29] H. Ennassiri -Vibro-[D30] Senousy, M., Larsen, P., and Ding, P., "Electromagnetics, Structural Harmonics and Acoustics Coupled Simulation on the Stator of an Electric Motor," SAE Int. J. Passeng. Cars - Mech. Syst. 7(2):822-828, 2014,

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REFERENCESSimulation of Vibrations in Electrical Machines for Hybrid-

[D32] P Summary Vibro- 2017.

[D34] D. Twyman[D35] F. Lin, S. Zuo, W. Deng and S. Wu, "Modeling and Analysis of Electromagnetic Force, Vibration, and Noise in Permanent-Magnet Synchronous Motor Considering Current Harmonics," in IEEE Transactions on IndustrialElectronics, vol. 63, no. 12, pp. 7455-7466, Dec. 2016. doi: 10.1109/TIE.2016.2593683[D36] Roivainen, J. (2009). Unit-wave response-based modeling of electromechanical noise and vibration of electrical machines.[D37] Zhu, Z. Q., & Howe, D. (1993). Electromagnetic noise radiated by brushless permanent magnet DC drives. 6th International Conference on Electrical Machines and Drives, 606 611.[D38] J. Le Besnerais Fast Prediction of Variable-Speed Acoustic Noise and Vibrations due to Magnetic Forces in Electrical Machines, ICEM 2016[D39] S. Zuo, F. Lin and X. Wu, "Noise Analysis, Calculation, and Reduction of External Rotor Permanent-Magnet Synchronous Motor," in IEEE Transactions on Industrial Electronics, vol. 62, no. 10, pp. 6204-6212, Oct. 2015.[D40] -Acoustique des Machines Electriques, Application au Domaine Automobil thesis, Université de Technologie de Compiègne, Compiègne, France, 2012[D41] J. Le Besnerais, "Fast prediction of variable-speed acoustic noise due to magnetic forces in electrical machines," 2016 XXII International Conference on Electrical Machines (ICEM), Lausanne, 2016, pp. 2259-2265. doi: 10.1109/ICELMACH.2016.7732836[D42] S. Peters and F. Hetemi, «

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REFERENCES[E1] W. Zhu, S. Pekarek, B. Fahimi, S. Member, B. J. Deken 565, 2007.[E2] T. Heikkilä., « Permanent magnet synchronous motor for industrial inverter applications - analysis and design », Thèse de l'Université de Technologie de Lappeenranta, 2002 [E3] ZHU (Z.Q.), MOHD JAMIL (M.L.) et WU (L.J.), Influence of Slot and Pole Number Combinations on Unbalanced Magnetic Force in Permanent Magnet Machines, IEEE

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[E34] A. Stening, Analysis and Reduction of Parasitic Effects in Induction Motors With Die-Cast Rotors 2013.[E35] Daohan Wang; Xiuhe Wang; Dongwei Qiao; Ying Pei; Sang-Yong Jung, "Reducing Cogging Torque in Surface-Mounted Permanent-Magnet Motors by Nonuniformly Distributed Teeth Method," in Magnetics, IEEE Transactions on , vol.47, no.9, pp.2231-2239, Sept. 2011[E36] M. J. DeBortoli, S. J. Salon, D. W. Burow, and C. J. Slavik behaviorMag., Vol. 29, No. 2, pp. 1676-1682, March 1993.[E37] A. Tenhunen -element calculation of unbalanced magnetic pull and circulating current between parallel windings in induction motor with non-

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[E61] H. Guldemir, K. J. Bradley (2001) The Effect of Rotor Design on Rotor Slot Harmonics in Induction Machines, Electric Power Components and Systems,29:9, 771-788, DOI: 10.1080/153250001317094199[E62] S. Zuo, F. Lin and X. Wu, "Noise Analysis, Calculation, and Reduction of External Rotor Permanent-Magnet Synchronous Motor," in IEEE Transactions on Industrial Electronics, vol. 62, no. 10, pp. 6204-6212, Oct. 2015.[E63] Vibroacoustic optimization of permanent magnet synchronous motor, Journal Sound Vibrations, 2017[E64] M. Sanada, K. Hiramoto, S. Morimoto and Y. Takeda, "Torque ripple improvement for synchronous reluctance motor using an asymmetric flux barrier arrangement," in IEEE Transactions on Industry Applications, vol. 40, no. 4, pp. 1076-1082, July-Aug. 2004. doi: 10.1109/TIA.2004.830745[E65] P. O. Rasmussen, J. Andreasen, and J. M. Pijanowski - -Sixth IAS Annu. Meet. Conf. Rec. 2001 IEEE Ind. Appl. Conf., vol. 1, no. C, pp. 33 39, 2001.

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REFERENCES[F1] DOOLITTLE (R.G.), Noise reduction control strategy of a permanent synchronous machines for vehicle traction application, thèse, Université du Texas, 2008[F2] BOESING (M.), KASPER (K. A.) et DE WONKER (R.W.), Vibration excitation in an electric traction motor for a hybrid electric vehicle, conférence InterNoise 2008[F3] J. LE BESNERAIS, P. iq[F4] J.LE BESNERAIS, Reduction of audible noise due to magnetic forces in PWM-supplied induction machines low-noise design rules and multiobjective optimization, PhD thesis, Ecole Centrale Lille, France, 2008[F5] B.J. Scwartz and M.H. Richardson, Experimental modal analysis, CSI Reliability Week, Orlando FL, 1999.[F6] The fundamentals of Modal Testing, Application Note 243-3, Agilent Technologies.[F7] P. Avitabile, Experimental modal analysis (asimple non-mathematical presentation), Sound&Vibration Magazine.[F8] F. Gautier, Lectures notes, ENSIM.

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Abbreviations Description

AC Alternative Current

BEV Battery powered Electric Vehicles

BPMSM Buried Permanent Magnet Machine

DC Direct Current

EMA Experimental Modal Analysis

ESS Energy Storage System

EV Electric Vehicle

GCD Greatest Common Divider

HEV Hybrid Electric Vehicle

HF High Frequency

ICE(V) Internal Combustion Engine (Vehicle)

IM Induction Machine

IPMSM Inset Permanent Magnet Machine

LCM Least Common Multiple

NVH Noise Vibration Harshness

ODS Operational Deflection Shape

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Abbreviations Description

PM Permant Magnet

PWM Pulse Width Modulation

SCIM Squirrel Cage Induction Machine

SPMSM Surface Permanent Magnet Machine

SM Synchronous Machine

SPL Sound Pressure Level

SRM Switched Reluctance Machines

SWL Sound Power Level

SyRM SynchroReluctant Machines

THD Total Harmonic Distortion

UMP Unbalanced Magnetic Pull

VPI Vaccum Pressure Impregnation

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Symbols Description

B Magnetic flux density

f Electrical frequency of a wave

fc or fswi PWM carrier frequency / switching frequency / chopping frequency

fR Rotor mechanical frequency

fs Fundamental stator current frequency

ks, kr Ranks of slotting permeance harmonics (0 for average permeance)

H Magnetic field

hs, hr Ranks of stator / rotor mmf harmonics (0 for fundamental)

Mc GCD (Zs,2p)

Nc LCM(Zs,2p)

p Number of pole pairs (2p=poles number)

qs Number of phases

r Wavenumber

Zr Number of rotor slots

Zs Number of stator slots

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Greek symbols Description

𝛼s Angle along the airgap

𝜈s,r Stator / rotor mmf space harmonics (p for fundamental)

𝜇 Symbol for +1 or -1 arising from wave multiplication

𝜎 Maxwell stress [N/m2]

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stator yoke

stator tooth

stator slotrotor slots

rotor teeth

airgap

stator outer diameter

stator inner diameter / bore diameter

rotor yoke