Hostname: page-component-7dd5485656-c8zdz Total loading time: 0 Render date: 2025-10-31T09:51:58.124Z Has data issue: false hasContentIssue false
  • English
  • Français

General modeling of the windings for multi-phase ac machines

Application for the analytical estimation of the mutual stator inductances for smooth air gap machines

Published online by Cambridge University Press:  17 May 2010

F. Scuiller ,
E. Semail  and
J.-F. Charpentier
F. Scuiller*
Affiliation:
Institut de Recherche de l'École Navale, 29240 Brest-Armées, France
E. Semail
Affiliation:
Arts et Métiers ParisTech, 59000 Lille, France Université Lille Nord de France, 59000 Lille, France
J.-F. Charpentier
Affiliation:
Institut de Recherche de l'École Navale, 29240 Brest-Armées, France
*
franck_scuiller@yahoo.fr

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

This paper, which deals with the winding modeling of ac multi-phase machines with a regular distribution of the stator slots, details an original matrix modeling of the stator winding. First, the properties of the balanced multi-phase windings (with integral-slot and fractional-slot patterns) are analysed. The winding function approach, one of the most common way to model the winding distribution effects on the stator rotating field, is then introduced. For multi-phase machines, it will be shown that the pole number generated by the winding distribution depends on a new parameter: the circularity index. The discrete nature of the winding, imposed by the stator slots, leads to the development of a discrete modeling of the winding obtained from sampling the winding function: two matrices, the winding function matrix and the distribution function matrix, are introduced to characterize the multi-phase winding. This matrix approach is thus a concise way to calculate the winding factors and to estimate the set of self and mutual stator inductances for smooth air gap multi-phase machines. A particularly original method of obtaining an analytical expression for the leakage mutual inductance is described. The results are validated with two experimental 5-phase PM machines by using experimental measurements and numerical simulations.

Information

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 50 , Issue 3 , June 2010 , 31102
Copyright
© EDP Sciences, 2010

References

J. Hendershot, Design of brushless permanent magnet motors (Clarendon Press Oxford, 1994), Chap. 3
D. White, H. Woodson, Electromechanical Energy Conversion (John Wiley & Sons, 1959), Chap. X
Bianchi, N., Pré, M.D., Proc. IEE Electr. Power Appl. 153, 459 (2006) CrossRef
Cros, J., Viarouge, P., IEEE Trans. Energy Conv. 17, 248 (2002) CrossRef
El-Refaie, A.M., Jahns, T.M., Novotny, D.W., IEEE Trans. Energy Conv. 21, 34 (2006) CrossRef
F. Libert, J. Soulard, Investigation on Pole-Slot Combinations for Permanent-Magnet Machines with Concentrated Windings, in 16th Int. Conf. on Electrical Machines, ICEM 2004, Cracow, Poland
F. Magnussen, C. Sadarangani, Winding factors and Joule losses of permanent magnet machines with concentrated windings, in Electric Machines and Drives Conf. IEMDC (IEEE, 2003), Vol. 21, pp. 333-339
N. Bianchi, S. Bolognani, E. Fornasierao, A general approach to determine the rotor losses in Three-phase fractional-slot PM machines, in Electric Machines and Drives Conf. IEMDC (IEEE, 2007), Vol. 1, pp. 634-641
F. Magnussen, H. Lendenmann, Parasitic effects inPM machines with concentrated windings, in IAS Annual Meeting (2005), Vol. 2, pp. 1044-1049
Chen, Y.S., Zhu, Z.Q., Howe, D., IEEE Trans. Magn. 42, 3395 (2006) CrossRef
L. Parsa, On Advantage of Multi-Phase Machines, in 31st Annual Conf. of IEEE Industrial Electronics Society, IEEE-IECON, 2005, p. 6
Levi, E., Bojoi, E., Profumo, F., Toliyat, H., Williamson, S., IET Electr. Power Appl. 1, 489 (2007) CrossRef
Levi, E., IEEE Trans. Ind. Electron. 55, 1893 (2008) CrossRef
Figueroa, J., Cros, J., Viarouge, P., IEEE Trans. Energy Conv. 21, 1 (2006) CrossRef
H.M. Ryu, J.H. Kim, S.K. Sul, Synchronous Frame Current Control of Multi-Phase Synchronous Motor, Part I, Modeling and current control based on multiple d-q spaces concept under balanced condition in IEEE 39th IAS Annual Meeting 2004, Seattle, USA, Vol.1, p. 63
Scuiller, F., Semail, E., Charpentier, J.F., Letellier, P., IET Electr. Power Appl. 3, 102 (2009) CrossRef
F. Scuiller, J.F. Charpentier, E. Semail, S. Clénet, A multiphase surface mounted permanent magnet design to reduce Torque Ripples and Joule losses for naval applications, in Proc. of the All Electric Ship Symposium, Versailles, France, 2005
F. Scuiller, J.F. Charpentier, E. Semail, S. Clénet, P. Letellier, Study of unconventional winding configuration of multiphase permanent magnet synchronous machine to improve reliability and torque quality for pod propulsion application, in Proc. 2nd Int. Conf. on Technological in Podded Propulsion, TPOD2006, Brest, France, 2006
F. Scuiller, J. Charpentier, E. Semail, S. Clénet, A global design strategy for multiphase machine applied to the design of a 7-phase fractional slot concentrated winding PM machine, in Proc. of ICEM'06 Conf., Chania, Greece, 2006
Toliyat, H.A., Lipo, T.A., White, J.C., IEEE Trans. Energy Conv. 6, 679 (1991) CrossRef
Toliyat, H.A., Lipo, T.A., White, J.C., IEEE Trans. Energy Conv. 6, 684 (1991) CrossRef
Mecrow, B., Jack, A., Haylock, J., Coles, J., Proc. IEE Electr. Power Appl. 143, 437 (1996) CrossRef
Semail, E., Bouscayrol, A., Hautier, J.P., Eur. Phys. J. Appl. Phys. 22, 207 (2003) CrossRef
L. Parsa, H.A. Toliyat, Five-Phase Interior Permanent Motor with Low Torque Pulsation, in Proc. of IEEE-IAS'05, Hong-Kong, 2005, Vol. 3, pp. 1770–1775
E. Semail, X. Kestelyn, A. Bouscayrol, Right Harmonic Spectrum for the Back-Electromotive Force of a N-phase Synchronous Motor, in IEEE-IAS'04, Seattle, USA, 2004, Vol. 1, pp. 71-78
J.P. Martin, F. Meibody-Tabar, B. Davat, Multiple-phase Permanent Magnet Synchronous Machine supplied by VSIs working under fault conditions, in Industry Applications Conf. (IEEE, 2000), Vol. 3, pp. 1710-1717
Locment, F., Semail, E., Piriou, F., IEEE Trans. Magn. 42, 1427 (2006) CrossRef
E. Klingshirn, IEEE Trans. Power App. Syst. PAS-102, 47 (1983)
X. Kestelyn, E. Semail, J.P. Hautier, Vectorial multi-machine modeling for a five-phase machine, in Int. Conf. on Electrical Machine ICEM, Belgium, 2002
J. Pyrhonen, T. Jokinen, V. Hrabovcova, Design of rotating electrical machines, 1st edn. (Wiley, 2008)
Saint-Michel, J., Technique de l'Ingénieur D3420, 1 (2001)
Zhu, Z.Q., Howe, D., IEEE Trans. Energy Conv. 15, 407 (2000) CrossRef
Zhu, Z.Q., Howe, D., IEEE Trans. Magn. 29, 136 (1993) CrossRef
M. Bekemans, Ph.D. thesis, Université catholique de Louvain, 2006
M. Bekemans, F. Labrique, E. Matagne, Accurate Torque Control of VSI Fed Synchronous Machine Under Normal or Fault Conditions Using Discrete Modelling of Airgap Flux, in Proc. ICEM'06 Conf., Chania, Greece, 2006, pp. 344-1–344-6
Zhu, Z.Q., Howe, D., IEEE Trans. Magn. 29, 143 (1993) CrossRef
J.L. Kirtley, Class Notes 5, Massachussets Institute of Technology, Department of Electrical Engineering and Computer Science, 1997
Foggia, A., Techniques de l'Ingénieur D3440, 1 (1999)
E. Semail, Ph.D. thesis, Université des Sciences et des Technologies de Lille, France, 2000
F. Scuiller, Ph.D. thesis, École Doctorale de l'École Nationale Supérieure d'Arts et Métiers, 2006