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The application of space-vector theory to the analysis of electrical machines with space harmonics

Die Anwendung der Raumzeigertheorie zur Analyse elektrischer Maschinen mit räumlichen Obserwellen

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In the present paper the space vector method is described for the analysis of uniform air-gap three-phase and two-phase machines, taking into account the effects of m.m.f. space harmonics.

The space vector equations are established in a natural and also in an arbitrary reference frame. It is shown that the various harmonic models can obtained without performing matrix transformations. The relationship between matrix and space vector forms is discussed. The models derived are suitable for both steady-state and transient analysis. Methods of derivation of harmonic transformations are also presented.

Übersicht

In der vorliegenden Arbeit wird die Methode der Raumzeiger zur Darstellung räumlicher Oberwellen in elektrischen Maschinen betractet. Die allgemeinen räumlichen Vektorgleichungen werden in einem natürlichen bzw. in einem beliebigen Koordinatensystem beschrieben. Es wird gezeigt, daß die verschiedenen harmonischen Modelle ohne Matrizenoperationen erhalten werden können. Die Beziehungen zwischen den Matrizen- und Raumzeiger-schreibweisen werden untersucht. Die Darstellungen der Maschine sind für die Analyse stationärer und nichtstationärer Vorgänge anwendbar. Schließlich wird die Ableitung harmonische Transformationen berücksichtigt.

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Vas, P., Willems, J.L. The application of space-vector theory to the analysis of electrical machines with space harmonics. Archiv f. Elektrotechnik 70, 359–363 (1987). https://doi.org/10.1007/BF01476276

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  • DOI: https://doi.org/10.1007/BF01476276

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