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Dynamic Model of Wye Connected Induction Machine

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Mechatronics 2017 (MECHATRONICS 2017)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 644))

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Abstract

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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Notes

  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.

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Acknowledgement

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. https://doi.org/10.1007/978-3-319-65960-2_25

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  • DOI: https://doi.org/10.1007/978-3-319-65960-2_25

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