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Electromechanical and Mathematical Models of Salient-Pole Synchronous Motors

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Advanced Dynamics and Model-Based Control of Structures and Machines

Abstract

Two electromechanical models of salient-pole synchronous motor: a classical two-pole model and four-pole model are considered in terms of the coordinates rigidly connected to rotating magnetic field. The four-pole model describes electromagnetic processes in salient-pole motor more completely than two-pole model. The four-pole model is considered for different commutations in excitation system of synchronous motor. The comparison of the models of rotor of salient-pole synchronous motor allows one to make the following conclusion: for the four-pole model of rotor the effect of excitation windings on damping moment is greater than for the two-pole one.

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References

  1. Barbashin, E.A., Tabueva, V.A.: Dynamical Systems with Cylindric Phase Space. Nauka, Moscow (1969)

    Google Scholar 

  2. Begamudre, R.D.: Electromechanical Energy Conversion with Dynamics of Machines. New Age International, New Delhi (2007)

    Google Scholar 

  3. Belyustina, L.N.: Stability of operating regime of salient-pole synchronous motor. Izv. AN SSSR OTN. 10, 131–140 (1954)

    MathSciNet  Google Scholar 

  4. Belyustina, L.N.: On an equation of theory of electrical machines. In: Sb. to the memory of A.A. Andronov, pp. 173–186. Isd. AN SSSR, Moscow (1955)

    Google Scholar 

  5. Coppel, W.A.: On the equation of a synchronous motor. Quart. J. Mech. Appl. Math. 12(2), 242–256 (1959)

    Article  MathSciNet  MATH  Google Scholar 

  6. Edgerton, H.E., Fourmarier, P.: The pulling into step of a saleint-pole synchronous motor. AIEE Trans. 50, 769–778 (1931)

    Google Scholar 

  7. Fagiuoli, E., Szegö, G.P.: Qualitative analysis by Modern methods of a stability problem in power-system analysis. J. Franklin Inst. 290(2), 103–111 (1970)

    Article  MathSciNet  MATH  Google Scholar 

  8. Fitzgerald, A.E., Kingsley, C., Jr, Umans, S.D.: Electric Machinery. McGraw-Hill, New-York (1999)

    Google Scholar 

  9. Gorev, A.A.: Transient Processes of Synchronous Machine. Nauka, Leningrad (1985)

    Google Scholar 

  10. Gross, C.A.: Electric Machines. CRC Press, New-York (2006)

    Google Scholar 

  11. Halanay, A., Leonov, G.A., Rasvan, V.: From pendulum equation to an extended analysis of synchronous machines. Rend. Sem. Math. Univers. Politecn. Torino. 45(2), 91–106 (1987)

    MathSciNet  MATH  Google Scholar 

  12. Ivanov-Smolenskii, A.B.: Electrical Machines. Energiya, Moscow (1980)

    Google Scholar 

  13. Ku, Y.H.: Non-linear analysis of electromechanical problems. J. Franklin Inst. 255(1), 9–32 (1953)

    Article  MathSciNet  Google Scholar 

  14. Leonov, G.A., Kondrat’eva, N.V.: Stability analysis of electric alternating current machines. Isd. St. Petersburg University, St. Petersburg (2009)

    Google Scholar 

  15. Lyon, W.V., Edgerton, H.E.: Transient torque – angle charateristics of synchronous mashines. AIEE Trans. 49, 686–699 (1930)

    Google Scholar 

  16. Park, R.H.: Two-reaction theory of synchronous machines generalized method of analysis. AIEE Trans. 48(1), 716–727 (1929)

    Google Scholar 

  17. Sarma, M.S.: Synchronous Machines: Their Theory, Stability, and Excitation Systems. Gordon and Breach Science, New-York (1979)

    Google Scholar 

  18. Szego, G.P., Olech, C., Cellina, A.: On the stability properties of a third order system. Ann. mat. pura ed appl. (91), 91–103 (1968)

    Google Scholar 

  19. Tricomi, F.: Integrazione di unequazione differenziale presentatasi in elettrotechnica. Annali della R. Scuola Normale Superiore di Pisa. 2(2), 1–20 (1933)

    MathSciNet  Google Scholar 

  20. Vazhnov, A.I.: Electrical Machines. Energiya, Leningrad (1969)

    Google Scholar 

  21. Yanko-Trinitskii, A.A.: New method for analysis of operation of synchronous motor for jump-like loads. GEI, Moscow-Leningrad (1958)

    Google Scholar 

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Correspondence to G. A. Leonov .

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Leonov, G.A., Kondrat’eva, N.V. (2012). Electromechanical and Mathematical Models of Salient-Pole Synchronous Motors. In: Irschik, H., Krommer, M., Belyaev, A. (eds) Advanced Dynamics and Model-Based Control of Structures and Machines. Springer, Vienna. https://doi.org/10.1007/978-3-7091-0797-3_17

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  • DOI: https://doi.org/10.1007/978-3-7091-0797-3_17

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  • Print ISBN: 978-3-7091-0796-6

  • Online ISBN: 978-3-7091-0797-3

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