Contents
A method of calculation the impedance of conductors in electric machine slots is presented. The calculations have made for conductors with elliptic cross section. The Bubnow-Galerkin method has been used for the calculations and the accuracy of the results obtained has been evaluated on the basis of published data.
Übersicht
Die Arbeit behandelt die Methode der Berechnung der Impedanz von Leitern, die in der Nut einer elektrischen Maschine eingebettet sind. Die Berechnung wurde für einen Leiter elliptischen Querschnittes durchgeführt. Die Genauigkeit der erhaltenen Ergebnisse wurde durch Vergleich mit der Fachliteratur kontrolliert.
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Abbreviations
- A :
-
z-component of vector potential (complex rms value)
- B t ,B ψ :
-
tangential components of induction
- \(I = \left| I \right| e^{j^\theta }\) :
-
complex value of current, |I|-rms value
- \(j = \sqrt { - 1}\) :
-
imaginary unit
- Z :
-
complex impedance
- |z|,z * :
-
modulus of complex numberz, complex conjugate ofz
- Rez :
-
real part of complex numberz
- Imz :
-
imaginary part of complex numberz
- μ:
-
magnetic permeability
- γ:
-
conductivity
- ω:
-
pulsation
- ∇2 :
-
scalar Laplacian
- α1 :
-
angle of slot opening
- l :
-
conductor length
- 2a, 2b :
-
major and minor axis of ellipse
- c :
-
distance of focus from center of ellipse
- Ω:
-
cross-section area
- S :
-
boundary of area
- R :
-
resistance
- X :
-
reactance
References
Hannakam, L.: Kost, A.: Transiente Stromverteilung im elliptischen Zylinder inhomogener Leitfähigkeit. Arch. f. Elektrotech. 55 (1973) 131–137
Kulda, J.: Magnetfelder eines Stromleitners elliptischen Querschnitts im Ferromagnetikum und in Luft und eines in elliptischen Nut im Eisen eingebetteten Stromfadens. Arch. f. Elektrotech. 48 (1963) 314
Lang, S.: Das Magnetfeld des gleichstromdurchflossenen geraden Stromleiters vom elliptischen Querschnitt. Arch. f. Elektrotech. 47 (1962) 42
Moon, P.; Spencer, D. E.: Field Theory for Engineers. Princetown, Toronto, London, New York 1961
Nürnberg, W.: Die Asynchronmaschine. Berlin: Springer 1963
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
Purczy⇏ki, J.; Sikora, R.: Use of the separation of variables method and the variational method in analysis of the slot leakage field (in Polish). Rozprawy Elektrotechniczne 21 (1975) 475
Rolicz, P.: Transient skin effect in a rectangular conductor placed in a semi-closed slot. Archiv. f. Elektrotech. 57 (1976) 329
Sikora, R.; Rolicz, P.: Impedance of conductor with Circular Cross-Section in the slot of an electric machnine (in Polish). Archiwum Elektrotechniki 21 (1972) 401
Sikora, R.; Purczyński, J.; Lipiński, W.: Magnetic Field of conductor with Elliptic Cross-Section (in Polish). Archiwum Elektrotechniki 22 (1973) 159
Strutt, M.: Das magnetische Feld im Innern ferromagnetischer Leiter von rechteckigem, dreieckigem und elliptischem Querschnitt. Arch. f Elektrotech. 18 (1927) 190
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Peterson, W. Calculation of the impedance of a conductor with an elliptic cross section in the slot of an electric machine. Archiv f. Elektrotechnik 60, 63–68 (1978). https://doi.org/10.1007/BF01578627
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DOI: https://doi.org/10.1007/BF01578627