Electrodynamic forces acting on a conductor with elliptic cross section in the slot of an electric machine

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.

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Elektrodynamische Kräfte auf einen Leiter mit Ellipsen-form in der Nut elektrischer Maschinen

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.

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List of Symbols A z-component of vector potential (complex r.m.s. value) - B ,B 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) - imaginary unit - 2a, 2b major and minor axis of ellipse - c distance of focus from center of cllipse - l conductor lenght - I=I e^j 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 - ₁ angle of slot opening - conductivity - magnetic permeability - pulsation - cross section area