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Transient and steady-state operation of induction motors with general two-side asymmetry

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Übersicht

In der vorliegenden Arbeit wurde die Diskussion des stationären Zustandes der dreiphasigen Asynchronmaschine mit asymmetrischer Vorschaltimpedanz in dem Statorkreis vorgeführt, mit der Anwendung der Theorie der symmetrischen Komponenten.

Neue und allgemeine Ersatzschaltungen wurden abgeleitet, und es ist nachgewiesen, wie man diese auf den transienten Fall (mit konstanter Drehzahl) erstrecken kann.

Auch auf den Fall der asymmetrischen Statorspannungen und Außenwiderständen sind Zustandsgleichungen gegeben.

Neue Gleichungen wurden aufgestellt für den stationären Zustand der zweiphasigen asymmetrischen Asynchronmaschinen mit nicht orthogonaler Spulenanordnung mit der Applikation einer neuen, symmetrisierenden Transformation, und gleichzeitig auch neue Ersatzschaltung wurde abgeleitet. Gleichungen auch für den transienten Zustand sind gegeben.

Contents

A new, general equivalent circuit is derived by using symmetrical-component theory for two-side asymmetrical three- and two-phase induction machines. The steady-state equivalent curcuit for the general three-phase case consists of controlled generators too, this is due to general asymmetry. All the elements of the equivalent circuit can be directly calculated from the known phase-coordinate stator and rotor components. The equivalent circuit is simplified for a two-side asymmetrical two-phase machine, realization is carried out with d, q components. As an extreme case, approximative the steady-state equivalent circuit is also derived for a single-phase machine with rotor asymmetry. The analogy is pointed out with the well known steady-state equivalent circuit of the single phase motor with symmetrical rotor. For the purpose of the direct measurement of an asymmetrical squirrel-cage induction motors' rotor currents, a model with external rotor is suggested. — For transient operation, a state-variable differential equation is derived by using Park-vector techniques, saturation of the main flux path is also present.

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References

  1. Linville, T. M.: Starting performance of salient-pole synchronous motors. Trans. AIEE 49 (1930) 531–547

    Google Scholar 

  2. Concordia, C.: Discussion of H. C. Stanley “An Analysis of the Induction Machine”. Trans. AIEE 57 (1938) 756

    Google Scholar 

  3. Vas, P.: Deriving a general rotating-to-stationary transformation. Periodica Polytechnica(Electrical Engineering), 19 (1975) 35–41

    Google Scholar 

  4. Lyon, W. V.: An extension of the method of symmetrical components using ladder networks. Trans. AIEE 59 (1940) 1025–1029

    Google Scholar 

  5. Vas, J.; Vas, P.: Transient and steady-state operation of induction motors with rotor asymmetries. Arch. f. Elektrotechn. 59 (1977)

  6. Vas, J.; Vas, P.: Transient and steady-state operation of induction motors with stator asymmetries. Arch. f. Elektrotech. 59 (1977)

  7. Vas, J.; Vas, P.: The Operational characteristics of induction motors with asymmetrical rotor. J. Inst. Eng. India 57, Pt. EL2 (1976). (Paper approved by Rotating Machinery Committee, and under publication)

  8. Bajza, L.: Courrant de court-circuit et couple de demarrage en regime permanent des asynchrones asymetriques. Periodica Polytechnica, Electr. Eng. 12 (1968) 81–107

    Google Scholar 

  9. Retter, Gy.: Unified Electrical Machine Theory (In Hungarian). Budapest: Müszaki Könyvkiadó 1976

    Google Scholar 

  10. Wallace, A. K.; Butler, O. I.: Equivalent circuits for nonquadrature, tapped quadrature and shaded-pole singlephase induction motor. Trans. AIEE 75 (1956) 913–916

    Google Scholar 

  11. Vas, P.: Performance of three-phase squirrel-cage induction motors with rotor asymmetries. Periodica Polytechnica, Electr. Eng. 19 (1975) 309–315

    Google Scholar 

  12. Despande, M. V.; Deasi, B. G.: Development of singlephase motor with partially open cage rotor. J. Inst. Eng. India, 44 (1963) Pt. EL2, 89–106

    Google Scholar 

  13. Subba Rao, V. S.; Trivedi, H. C.: Starting a single-phase motor using an asymmetrical rotor. Proc. IEE 113 (1966) 652–656

    Google Scholar 

  14. Desai, B. G.: Single-phase induction motor with asymmetrical cage rotor. Proc. IEE 116 (1969) 1179–1184

    Google Scholar 

  15. Töke, Gy.; Vas, P.: Application of the symmetrical components to the analysis of small rotor asymmetries of squirrel cage induction motors (In Hungarian). Elektrotechnika 69 (1976) No. 9

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Vas, P. Transient and steady-state operation of induction motors with general two-side asymmetry. Archiv f. Elektrotechnik 59, 163–169 (1977). https://doi.org/10.1007/BF01407308

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