Contents
The paper presents a new algorithmic method of designing fractional-slot windings for AC machines of the double and single layer type. The method allows to design windings with a small number of slots per pole and phase, and then to analyse their MMF harmonic spectra in a simple systematic way and to optimise the construction. The presented method comprises not only 3-phase, but alsom-phase windings, which in the case of compact converter-motor units are quite applicable.
Übersicht
Im Aufsatz wird eine neue algorithmische Methode zum Entwurf der Bruchlochwicklungen von Wechselstrommaschinen mit Ein- und Zweischichtwicklung dargestellt. Diese Methode ermöglicht den Entwurf von Wicklungen mit kleiner Nutzahl pro Pol und Phase, und sie dient zur Analyse des Spektrums der magnetischen Durchflutung bei diesen Wicklungen. Die Methode erfaßt nicht nur dreiphasige, sondern allgemein mehrphasige Wicklungen, welche im Falle von Stromrichterantrieben und Umrichtermotoren zunehmend angewendet werden.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Abbreviations
- m :
-
number of phases
- Q s ,Q c :
-
number of slots and coils respectively
- p,p′:
-
number of pole pairs and reduced number of pole pairs
- ρ:
-
space harmonic of MMF
- q,v :
-
number of slots and coils per pole and phase respectively
- u,h :
-
numerator and denominator of the reduced ν fraction
- w :
-
number of segments (parentheses) of the whole winding
- r :
-
number of segments (parentheses) of the largest repetitive part of the winding in respect to allm-phase-belts
- φ ρk :
-
angular position of the ρ-harmonic MMF axis of thek-th phase
- C:
-
matrix of constraint of windings
- \(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\frown}$}}{W} ^\rho \) :
-
coil structure vector for the ρ-harmonic
- \(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\frown}$}}{a} ^\rho \) :
-
vector of phase-belts MMF structure for the ρ-harmonic
References
Dubicki B (1978) 3-phase, fractional-slot single layer windings. (in Polish). Archiwum Elektrotechniki, vol. 2, Warszawa, 239–288
Dubicki B (1978) 3-phase, fractional-slot double layer windings. (in Polish). Archiwum Elektrotechniki, vol. 3, Warszawa, 505–540
Fong W (1968) Polyphase symmetrisation. Proc. IEE-Power, Vol. 115, No 8, (1968) 1123–1136
Heiles F (1953) Wicklungen elektrischer Maschinen. Springer Verlag
Hickiewicz J, Lukaniszyn M, Szymaniec S, Wach P (1990) On reducing the vibrations and noise level of induction motors with integral and fractional slot windings. Springer Verlag Archiv für El. 73: 163–171
Liwschitz M M (1948) Balanced fractional-slot windings. Trans. Americ. Inst. Electr. Eng. 67: 676–678
Punga F (1931) Die Nutenharmonischen von Drehstromgeneratoren mit Bruchlochwicklungen. ETZ Bd 52
Rasch B (1926) Ein Beitrag zum Studium der Bruchlochwicklungen. ETZ Bd 47
Richter R (1952) Lehrbuch der Wicklungen elektrischer Maschinen. G. Braun, Karlsruhe
Rawcliffe G H, Fong W (1965) Two-speed induction motors using fractional-slot windings. Proc. IEE-Power, Vol. 112, No 10, 1899–1916
Sequenz H (1950) Die Wicklungen elektrischer Maschinen. B.I, Springer Verlag, Wien
Wach P (1997) Fractional-slot windings of AC machines (in Polish). PWN Warszawa-Wrocław
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Wach, P. Algorithmic method of design and analysis of fractional-slot windings of AC machines. Electrical Engineering 81, 163–170 (1998). https://doi.org/10.1007/BF01236235
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01236235