Generalized rotating-field theory of polyphase induction motors and its relationship to symmetrical-component theory

Abstract
It is shown that the performance of an induction motor, having a symmetrically wound rotor and a stator which may be wound or connected in any conceivable way, can be uniquely specified by means of two sets of equations. The first set, the ‘internal’ equations, is peculiar to the machine and expresses the phase voltages in terms of the phase currents and rotating-field parameters. These are based on a generalization of the counter-rotating field theory to include the effects of all space harmonics. The second set—the ‘external’ equations—is peculiar to the connection and expresses the relationships between the phase voltages and currents, supply voltages and line impedances. These are the so-called ‘inspection equations’ obtained by the simple application of Kirchhoff's laws. The complete performance of the machine can always be computed from the solutions of the two sets of equations on a phase-by-phase basis. It is also shown that, if the stator has windings whose axes are symmertically displaced, symmetrical-component theory is an alternative which enables to be computed on a per-phase basis whilst still including the effects of all space harmonics.

This publication has 1 reference indexed in Scilit: