Contents
In this paper, radial electrodynamic forces acting on a conductor entirely filling a semi-closed slot with elliptic cross section are investigated. The calculations have been made by using the Bubnow-Galerkin method. The results are compared with published data.
Übersicht
In diesem Artikel wurden die Kräfte untersucht, die auf einen Leiter mit Ellipsenform in halbgeschlossener Nut wirken. Die Berechnungen wurden mit der Bubnow-Galerkin Methode vorgenommen. Die Berechnungsergebnisse wurden mit Literaturangaben verglichen.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Abbreviations
- A :
-
z-component of vector potential (complex r.m.s. value)
- B η,B ϕ :
-
normal and tangential components of the magnetic induction in the elliptic-cylindrical system of coordinates (r.m.s. value)
- F:
-
electrodynamic force
- F m , F a :
-
arythmetical mean and alternating components of the total force
- J :
-
z-component of current density (complex r.m.s. value)
- \(j = \sqrt { - 1} \) :
-
imaginary unit
- 2a, 2b:
-
major and minor axis of ellipse
- c :
-
distance of focus from center of cllipse
- l :
-
conductor lenght
- I=I ejθ :
-
complex value of current, |I|=r.m.s. value
- z,z * :
-
modulus of complex numberz and complex conjugate ofz
- Rez, Im:
-
z real and imaginary part of complex numberz
- α1 :
-
angle of slot opening
- γ:
-
conductivity
- μ:
-
magnetic permeability
- ω:
-
pulsation
- Ω:
-
cross section area
References
Althammer, P.: Berechnung das magnetischen Feldes in den Wickelköpfen von Turbogeneratoren. Brown Boveri Mitt. 5 (1964) 281–292
Calvert, J. F.: Forces in turbine generator stator windings. Trans. AIEE (1931) 178
Carpenter, C. J.: Surface-integral methods for calculating forces in magnetised iron carts. Proc. IEEE 1070 (1960) 19–28
Hague, B.: Electromagnetic problems in electrical engineering. London: Oxford University Press 1929
Hammond, P.: Forces in electric and magnetic fields. Bull. Elect. Eng. Educ. 25 (1960) 17
Lawrenson, P. J.: Forces on turbogenerator end windings. Proc. IEE vol. 112 (1965) 1144–1158
Moon, P.; Spencer, D. E.: Field Theory for Enginecrs. New York: Van Nostrand Co., 1961
Nürnberg, W.: Die Asynchronmaschinen. Berlin: Springer 1963
Peterson, W.: Calculation of the impedance of a conductor with an elliptic cross section in the slot of an electric machine. Arch. f. Elektrotech. 60 (1978) 63–68
Purczyński, J.; Rolicz, P.; Sikora, R.: Use of Ritz and Bubnow-Galerkin methods for calculation of inductance and impedance of conductors. Arch. f. Elektrotech. 57 (1975) 119–126
Purczyński, J.; Sikora, R.: Analysis of the slot inductance and forces acting on windings of electric machines. Rozprawy Elektrotechniczne 21 (1975) 455–474 (In Polish)
Rolicz, P.: Impedance and electrodynamic force acting on a cylindrical conductor partly filling a semi-closed slot. Arch. f. Elektrotech. 58 (1976) 333–338
Rolicz., P; Sikora, R.: Analysis of forces acting on conductors placed in slots of electric machines, Part II. Archiwum Elektrotechniki 22 (1973) 641–649 (In Polish)
Rolicz, P.; Forces acting on the conductors of a bifilar lead with an alternating current. Arch. f. Elektrotech. 61 (1979) 41–44
Rolicz, P.; Peterson, W.; Rakowski, W.: Electromagnetic forces in three-phase leads. Electric Power Systems Research 2 (1979) 171–178
Sikora, R.; Rolicz, P.: Analysis of forces acting on conductors placed in slots of electric machines. Archiwum Elektrotechniki 21 (1972) 401–405 (In Polish)
Turowski, J.: Influence of ferromagnetic saturation on forces in windings of electric machines. Archiwum Elektrotechniki 4 (1960) 677–691 (In Polish)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Peterson, W. Electrodynamic forces acting on a conductor with elliptic cross section in the slot of an electric machine. Archiv f. Elektrotechnik 63, 135–139 (1981). https://doi.org/10.1007/BF01578558
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01578558