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Calculation of electromagnetic quantities of permanent magnet synchronous machines with tooth coil windings using finite elements and frozen permeabilities

Berechnung elektromagnetischer Größen von Permanentmagnet-Synchronmaschinen mit Zahnspulenwicklungen mittels erweiterter Finite Elemente Analysen

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Abstract

Permanent magnet synchronous machines with fractional slot stator windings using the tooth coil technology require detailed investigations on the electromagnetic parameters due to a very low number of slots per pole and phase. Finite element analyses of such machines can provide many results and even allow for a comparison of both Y- and Δ-connected stator windings. However, a subsequent application of the frozen permeabilities method allows for a more detailed discussion of effects caused by both permanent magnets and armature stator currents in conjunction with angular rotor position and also different saturation levels. In particular, such detailed analyses are required for high performance electrical drive systems which operate under very fast changing load conditions and run in deep field weakening ranges additionally.

Zusammenfassung

Permanentmagnet-Synchronmaschinen mit Bruchloch-Zahnspulenwicklungen erfordern wegen der sehr geringen Anzahl von Nuten pro Pol und Strang detaillierte Untersuchungen zu deren elektromagnetischen Parametern. Numerische Analysen mit der Methode der Finiten Elemente liefern solche Ergebnisse und erlauben in Bezug auf diese auch den Vergleich von Stern- und Dreieckschaltung der Statorwicklung. Eine tiefergehende Behandlung dieser Ergebnisse kann durch die Anwendung der Methode der festgehaltenen Permeabilitäten oder Reluktivitäten erfolgen. Damit lassen sich die Einflüsse der Permanentmagnete und der Statorströme in Abhängigkeit von Rotorwinkellage und unterschiedlichen Sättigungszuständen näher darstellen. Insbesondere sind solche Detailanalysen bei hochausgenutzten Synchronmaschinen für die elektrische Antriebstechnik notwendig, wenn diese unter rasch wechselnden Belastungen auch im tiefen Feldschwächbereich mit dementsprechend immer anderen Sättigungszuständen betrieben werden.

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References

  1. Bianchi, N., Bolognani, S., Chalmers, B. J. (1998): Comparison of different synchronous motors drives for flux weakening applications. In Proceedings of the 13th international conference on electric machines, ICEM, Istanbul, Turkey.

    Google Scholar 

  2. Miller, J. M., McClear, P. J., Lang, J. H. (1998): Starter-alternator for hybrid electric vehicle: Comparison of induction and variable reluctance machines and drives. In Proceedings of the IEEE industry applications society 33rd annual meeting, IAS’1998, St. Louis, MO, USA.

    Google Scholar 

  3. Huth, G. (2005): Permanent magnet excited AC servo motors in tooth coil technology. IEEE Trans. Energy Convers., 20(2), 300–307.

    Article  Google Scholar 

  4. El-Refaie, A. M., Shah, M. R. (2008): Comparison of induction machine performance with distributed and fractional slot concentrated windings. In IEEE industry applications society annual meeting, IAS’2008, Edmonton, AB, Canada.

    Google Scholar 

  5. El-Refaie, A. M. (2010): Fractional slot concentrated windings synchronous permanent magnet machines: opportunities and challenges. IEEE Trans. Ind. Electron., 57(1), 107–121.

    Article  Google Scholar 

  6. Schmidt, E., Susic, M., Eilenberger, A. (2011): Design studies on a permanent magnet synchronous machine with Y- and Δ-connected stator winding. IEEE Trans. Magn., 47(05), 1042–1045.

    Article  Google Scholar 

  7. Schmidt, E., Susic, M. (2011): Finite element analyses of permanent magnet synchronous machines with fractional slot tooth coil windings. e&i, Elektrotech. Inf.tech., 128(3), 86–94.

    Article  Google Scholar 

  8. Bianchi, N. (2005): Electrical machine analysis using finite elements. Boca Raton: CRC Press.

    Google Scholar 

  9. Walker, J. A., Dorrell, D. G., Cossar, C. (2005): Flux linkage calculation in permanent magnet motors using the frozen permeabilities method. IEEE Trans. Magn., 41(10), 3946–3948.

    Article  Google Scholar 

  10. Tangudu, J. K., Jahns, T. M., El-Refaie, A. M., Zhu, Z. Q. (2009): Segregation of torque components in fractional slot concentrated winding interior PM machines using frozen permeability. In Proceedings of the IEEE energy conversion congress and exposition, ECCE, San Jose, CA, USA.

    Google Scholar 

  11. Xia, Z. P., Zhu, Z. Q., Wu, L. J., Jewell, G. W. (2010): Comparison of radial vibration forces in 10-pole/12-slot fractional slot surface mounted and interior permanent magnet brushless AC machines. In Proceedings of the 19th international conference on electrical machines, ICEM, Rome, Italy.

    Google Scholar 

  12. Chu, W. Q., Zhu, Z. Q. (2013): Average torque separation in permanent magnet synchronous machines using frozen permeability. IEEE Trans. Magn., 49(3), 1202–1210.

    Article  Google Scholar 

  13. Park, R. H. (1929): Two-reaction theory of synchronous machines, generalized method of analysis, part I. AIEE Trans., 48(3), 716–727.

    Google Scholar 

  14. Park, R. H. (1933): Two-reaction theory of synchronous machines, generalized method of analysis, part II. AIEE Trans., 52(2), 352–355.

    Google Scholar 

  15. Kovacs, P. K. (1984): Transient phenomena in electrical machines. Amsterdam: Elsevier.

    Google Scholar 

  16. Eilenberger, A., Schmidt, E., Schrödl, M. (2010): Sensorless capability of permanent magnet synchronous machines due to saturation- and reluctance-based coupling effects. In Proceedings of the 1st IEEE international symposium on sensorless control for electrical drives, SLED, Padova, Italy.

    Google Scholar 

  17. Arkkio, A. (1987): Analysis of induction motors based on the numerical solution of the magnetic field and circuit equations. Acta polytechnica scandinavica, Electrical engineering series (Vol. 59). Helsinki.

    Google Scholar 

  18. Bastos, J. P. A., Sadowski, N. (2003): Electromagnetic modeling by finite element methods. New York: Dekker.

    Book  Google Scholar 

  19. Hameyer, K., Belmans, R. (1999): Numerical modelling and design of electrical machines and devices. Southampton: WIT Press.

    Google Scholar 

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Schmidt, E. Calculation of electromagnetic quantities of permanent magnet synchronous machines with tooth coil windings using finite elements and frozen permeabilities. Elektrotech. Inftech. 132, 11–17 (2015). https://doi.org/10.1007/s00502-014-0280-3

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