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Dynamic Model of Wye Connected Induction Machine

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Mechatronics 2017 (MECHATRONICS 2017)

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The paper deals with a derivation of a dynamic model of induction machines with wye connected stator and rotor windings. The mathematical modeling of any electric machine is an inseparable part of the knowledge of any future/present engineers involved in the control of the electric drives. In the paper, several models of the induction machines are derived in a comprehensible way with an emphasis on structural and parameter integrity of all models. Derived dynamic model with line-to-line stator voltages presents a simple substitution to more general but also more complicated natural model of induction machines.

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  1. 1.

    This is the most important assumption of all because thanks to it there is no magnetic saturation, i.e. all inductance are constant and independent of a value of winding currents. Based on it, magnetic flux linkage of one phase winding can be calculated as \(\varPsi =Li\), magnetic energy of one phase winding stored in the magnetic field of induction machine can be evaluated as \(\frac{1}{2}L i^2\) and electromagnetic torque can be calculated from the change of magnetic energy caused by rotor angular displacement.


  1. Chapman, S.J.: Electric Machinery Fundamentals, 5th edn. McGraw-Hill, New York (2012)

    Google Scholar 

  2. Duesterhoeft, W.C., Schulz, M.W., Clarke, E.: Determination of instantaneous currents and voltages by means of alpha, beta, and zero components. Trans. Am. Inst. Electr. Eng. 70(2), 1248–1255 (1951). doi:10.1109/T-AIEE.1951.5060554

    Article  Google Scholar 

  3. Hijazi, T., Alhamadi, M., Arkadan, A., Demerdash, N.: Modeling and simulation of inverter-fed induction motors using the natural ABC frame of reference. In: Proceedings of the 24th Intersociety Energy Conversion Engineering Conference, pp. 527–534 (1989). doi:10.1109/IECEC.1989.74515

  4. Jabbour, N., Tsioumas, E., Karakasis, N., Mademlis, C.: Discrete-time model predictive control for high performance speed control in an induction motor drive. In: IECON 2016 - 42nd Annual Conference of the IEEE Industrial Electronics Society, pp. 2766–2771 (2016). doi:10.1109/IECON.2016.7793258

  5. Klima, J., Vitek, O.: Analysis of high-speed induction motor. In: Proceedings of the 16th International Conference on Mechatronics - Mechatronika 2014, pp. 85–91 (2014). doi:10.1109/MECHATRONIKA.2014.7018240

  6. Krause, P.C., Wasynczuk, O., Sudhoff, S.D., Pekarek, S.: Analysis of Electric Machinery and Drive Systems, 2nd edn. IEEE Press, New York (2002)

    Book  Google Scholar 

  7. Matar, M., Iravani, R.: Massively parallel implementation of ac machine models for FPGA-based real-time simulation of electromagnetic transients. IEEE Trans. Power Delivery 26(2), 830–840 (2011). doi:10.1109/TPWRD.2010.2086499

    Article  Google Scholar 

  8. Novotny, D.W., Lipo, T.A.: Vector Control and Dynamics of AC Drives. Oxford University Press, New York (1996)

    Google Scholar 

  9. Park, B.G., Kim, D.J., Han, P.W., Chun, Y.D., Choi, J.H.: Sensorless control using improved stator flux estimator for high-speed induction motors. In: 2015 18th International Conference on Electrical Machines and Systems (ICEMS), pp. 116–121 (2015). doi:10.1109/ICEMS.2015.7385010

  10. Park, R.H.: Two-reaction theory of synchronous machines generalized method of analysis-part i. Trans. Am. Inst. Electr. Eng. 48(3), 716–727 (1929). doi:10.1109/T-AIEE.1929.5055275

    Article  Google Scholar 

  11. Pyrhonen, J., Hrabovcova, V., Semken, S.: Electrical Machine Drives Control, 1st edn. Wiley, New York (2016)

    Google Scholar 

  12. Silva, R., Neto, L., Andrade, D.: New linear flux model for three-phase induction motors - comparative analysis with abc and dq0 models. In: 10th International Conference on Harmonics and Quality of Power Proceedings (Cat No02EX630), pp. 71–75 (2002). doi:10.1109/ICHQP.2002.1221409

  13. Steinmetz, C.P.: The alternating current induction motor. Trans. Am. Inst. Electr. Eng. XIV(1), 183–217 (1897). doi:10.1109/T-AIEE.1897.5570186

    Article  Google Scholar 

  14. Vas, P.: Electrical Machines and Drives, 1st edn. Oxford University Press, New York (1992)

    Google Scholar 

  15. Wilson, E.: The induction motor. J. Inst. Electr. Eng. 28(139), 321–356 (1899). doi:10.1049/jiee-1.1899.0014

    Google Scholar 

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This research work has been carried out in the Centre for Research and Utilization of Renewable Energy (CVVOZE). Authors gratefully acknowledge financial support from the Ministry of Education, Youth and Sports of the Czech Republic under NPU I programme (project No. LO1210).

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Correspondence to Radoslav Cipin .

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Cipin, R., Knobloch, J., Prochazka, P., Pazdera, I. (2018). Dynamic Model of Wye Connected Induction Machine. In: Březina, T., Jabłoński, R. (eds) Mechatronics 2017. MECHATRONICS 2017. Advances in Intelligent Systems and Computing, vol 644. Springer, Cham.

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  • Print ISBN: 978-3-319-65959-6

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