MMF of Damper Winding, Squirrel Cage (at Asymmetry in Them or at Its Absence) and Excitation Winding. Representation of MMF in the Form of Harmonic Series in Complex Plane

  • Iliya Boguslawsky
  • Nikolay Korovkin
  • Masashi Hayakawa


This chapter deals with investigation methods of MMF harmonics of spatial orders n (\( \left| {\text{m}} \right|{ = }\left| {\text{n}} \right| \ge 1 \)) excited by the currents with frequency \( \upomega_{\text{ROT}} \) in rotor loops, included in short-circuited windings: damper winding of synchronous machines and squirrel cage of induction machines (also in asymmetrical).


Complex Amplitude Current Function Induction Machine Harmonic Series Calculation Expression 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


I. Monographs, Textbooks

  1. 1.
    Demirchyan K.S., Neyman L.R., Korovkin N.V., Theoretical Electrical Engineering. Moscow, St. Petersburg: Piter, 2009. Vol. 1, 2. (In Russian).Google Scholar
  2. 2.
    Kuepfmueller K., Kohn G., Theoretische Elektrotechnik und Elektronik. 15 Aufl., Berlin, New York: Springer. 2000. (In German).Google Scholar
  3. 3.
    Richter R., Elektrische Maschinen. Berlin: Springer. Band I, 1924; Band II, 1930; Band III, 1932; Band IV, 1936; Band V, 1950. (In German).Google Scholar
  4. 4.
    Mueller G., Ponick B., Elektrische Maschinen. New York, John Wiley, 2009. (In German).Google Scholar
  5. 5.
    Schuisky W., Berechnung elektrischer Maschinen. Wien: Springer, 1960. (In German).Google Scholar
  6. 6.
    Mueller G., Vogt, K., Ponick B., Berechnung elektrischer Maschinen. Springer, 2007. (In German).Google Scholar
  7. 7.
    Korn G., Korn T., Mathematical Handbook. New York: McGraw–Hill, 1961.Google Scholar
  8. 8.
    Jeffris H., Swirles B., Methods of Mathematical Physics. Third Edition, Vol. 1 – Vol. 3, Cambridge: Cambridge Univ. Press, 1966.Google Scholar
  9. 9.
    Boguslawsky I.Z., A.C. motors and generators. The theory and investigation methods by their operation in networks with non linear elements. Monograph. TU St.-Petersburg Edit., 2006. Vol. 1; Vol.2. (In Russian).Google Scholar

II. Synchronous Machines. Papers, Inventor’s Certificates, Patents

  1. 10.
    Boguslawsky I.Z., Currents and harmonic MMFs in a damper winding with damaged bar at a pole. Power Eng. New York, 1985, № 1.Google Scholar
  2. 11.
    Boguslawsky I.Z., Demirtschyan K.S., Stationaere Stromverteilung in unregelmaessigen und unsymmetrischen kurzgeschlossenen Laeuferwicklungen von Wechselstrommaschinen. Archiv fuer Elektrotechnik, 1992. № 6. (In German).Google Scholar
  3. 12.
    Boguslawsky I.Z., Operating – regime currents of a salient – pole machine. Power Eng. (New York), 1982. № 4.Google Scholar
  4. 13.
    Boguslawsky I.Z., Currents and MMF in a conducting plate in the rotating field of a salient – pole machine. Power Eng. (New York), 1980. № 5.Google Scholar
  5. 14.
    Ferenc S., Pal C., Istvan S., Kaliekas asyncronderudes gyürüszakadaasak szamitages vizsgalata. Elektrotechnika (Hungary), 1982, № 1. (In Hungarian).Google Scholar
  6. 15.
    Polujadoff M., General rotating MMF – Theory of squirrel cage induction machines with non-uniform air gap and several non-sinusoidal distributed windings. Trans AIEE, PAS, 1982.Google Scholar

Copyright information

© Springer Japan KK 2017

Authors and Affiliations

  • Iliya Boguslawsky
    • 1
  • Nikolay Korovkin
    • 1
  • Masashi Hayakawa
    • 2
  1. 1.Peter the Great St. Petersburg Polytechnic UniversitySaint PetersburgRussia
  2. 2.The University of Electro-CommunicationsTokyoJapan

Personalised recommendations