Stability analysis of a multi-phase (six-phase) induction machine

The stability study of a multi-phase (six-phase) induction machine has been performed by applying the eigenvalues stability criterion to the small displacement equations obtained by linearization about an operating point. The eigenvalues provide a simple means of predicting the behavior of an induction machine at any balanced operating condition. The eigenvalues are dependent upon the parameters of the machine and it is difficult to relate analytically a change in an eigenvalue with a change in a specific machine parameter. It is possible, however, to identify an association between eigenvalues and machine variables. Therefore, in this paper, the stability of the machine under small perturbation of machine variables has been examined from the placement of the eigenvalues. The effect of common mutual leakage reactance, which depends upon the winding pitch and the displacement angle between the two three-phase stator winding sets, and the effect of harmonics have been included in this study. 2003 Elsevier Ltd. All rights reserved.