Extension of the FundamentalWave Library towards Multi Phase Electric Machine Models

Christian Kral
Electric Machines, Drives and Systems, Vienna, Austria

Anton Haumer
Technical Consulting, St.Andrä-Wördern, Austria

Reinhard Wöhrnschimmel
AIT GmbH, Vienna, Austria

Ladda ner artikelhttp://dx.doi.org/10.3384/ecp14096135

Ingår i: Proceedings of the 10th International Modelica Conference; March 10-12; 2014; Lund; Sweden

Linköping Electronic Conference Proceedings 96:14, s. 135-143

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Publicerad: 2014-03-10

ISBN: 978-91-7519-380-9

ISSN: 1650-3686 (tryckt), 1650-3740 (online)


Abstract Electric machine theory and electric machine simulations models are often limited to three phases. Up to the Modelica Standard Libray (MSL) version 3.2 the provided machine models were limited to three phases. Particularly for large industrial drives and for redundancy reasons in electric vehicles and aircrafts multi phase electric machines are demanded. In the MSL 3.2.1 an extension of the existing FundamentalWave library has been performed to cope with phase numbers greater than or equal to three. The developed machine models are fully incorporating the multi phase electric; magnetic; rotational and thermal domain. In this publication the theoretical background of the machines models; Modelica implementation details; the parametrization of the models and simulation examples are presented.


Modelica Standard Library; multi phase; electric Machine models; induction machine; synchronous machine; synchronous reluctance machine


[1] B. Stumberger, G. Stumberger, A. Hamler, M. Trlep, M. Jesenik, and V. Gorican, “Increasing of output power capability in a six-phase flux-weakened permanent magnet synchronousmotor with a third harmonic current injection,” IEEE Transactions on Magnetics, vol. 39, pp. 3343–3345, 2003. DOI: 10.1109/TMAG.2003.816251

[2] D. G. Dorrell, C. Y. Leong, and R. A. McMahon, “Analysis and performance assessment of six-pulse inverter-fed three-phase and six-phase induction machines,” IEEE Transactions on Industry Applications, vol. 42, pp. 1487–1495, November/December 2006. DOI: 10.1109/TIA.2006.882673

[3] G. Aroquiadassou, A. Mpanda-Mabwe, F. Betin, and G.-A. Capolino, “Six-phase induction machine drive model for fault-tolerant operation,” SDEMPED, 2009.

[4] H. A. Toliyat, M. M. Rahimian, and T. A. Lipo, “dq modeling of five phase synchronous reluctance machines including third harmonic of air-gapmmf,” Conference Record of the 1991 IEEE Industry Applications Society Annual Meeting, 1991., pp. 231–237, 1991.

[5] D. Dujic, M. Jones, and E. Levi, “Features of two multi-motor drive schemes supplied from fivephase/five-leg voltage source inverters,” Conference Proceedings on Power Conversion and IntelligentMotion, PCIM, Nuremberg, Germany, no. S2d-2, 2008.

[6] D. Dujic, M. Jones, and E. Levi, “Analysis of output current ripple rms in multiphase drives using space vector approach,” IEEE Transactions on Power Electronics, vol. 24, no. 8, pp. 1926–1938, 2009. DOI: 10.1109/TPEL.2009.2017746

[7] R. L. A. Ribeiro, C. B. Jacobina, A. M. N. Lima, and E. R. C. da Silva, “A strategy for improving reliability of motor drive systems using a four-leg three-phase converter,” Sixteenth Annual IEEE Applied Power Electronic Conference and Expoition. APEC 2001, vol. 1, pp. 385–391, 2001.

[8] R. Errabelli and P. Mutschler, “Fault-tolerant voltage source inverter for permanent magnet drives,” IEEE Transactions on Power Electronics, vol. 27, pp. 500–508, feb. 2012. DOI: 10.1109/TPEL.2011.2135866

[9] T. Treichl, Regelung von sechssträngigen permanenterregten Synchronmaschinen für den mobilen Anwendungsfall. PhD thesis, FernUniversität, 2006.

[10] C. Kral and A. Haumer, “Modelica libraries for DC machines, three phase and polyphase machines,” InternationalModelica Conference, 4th, Hamburg, Germany, pp. 549–558, 2005.

[11] C. Kral and A. Haumer, Object Oriented Modeling of Rotating Electrical Machines. INTECH, 2011.

[12] C. Kral and A. Haumer, “The new fundamentalwave library for modeling rotating electrical three phase machines,” 8th International Modelica Conference, 2011.

[13] T. A. Lipo, “A d-q model for six phase induction machines,” Conference Record of International Conference on Electrical Machines, ICEM, pp. 860–867, 1980.

[14] E. Andresen and K. Bieniek, “Der Asynchronmotor mit drei und sechs Wirkungssträngen am stromeinprägendenWechselrichter,” Archiv für Elektrotechnik, vol. 63, pp. 153–167, 1981. DOI: 10.1007/BF01578560

[15] H.-H. Jahn and R. Kasper, “Koordinatentransformationen zur Behandlung von Mehrphasensystemen,” Archiv für Elektrotechnik, vol. 56, pp. 105–111, 1974. DOI: 10.1007/BF01543290

[16] J. Stepina, Einführung in die allgemeine Raumzeiger-Theorie der elektrischen Maschinen. Kaiserslautern: Vorlesungsskriptum,UniversitätKaiserslautern, 1979.

[17] C. Kral, A. Haumer, M. Bogomolov, and E. Lomonova, “Harmonic wave model of a permanent magnet synchronous machine for modeling partial demagnetization under short circuit conditions,” XXth International Conference on Electrical Machines (ICEM), pp. 295 –301, Sept. 2012.

[18] C. Kral and A. Haumer, “Simulation of electrical rotor asymmetries in squirrel cage induction machines with the extendedmachines library,” International Modelica Conference, 6th, Bielefeld, Germany, no. ID140, pp. 351–359, 2008.

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