A Form-Wound Induction Machine Model for the Study of Three-Phase Surge Propagation

A three-phase model of asynchronous machines operating at medium or high frequencies is presented. It can be used to study the propagation of surge waves along the stator windings of induction form-wound machines. The model is derived from an analogy with a three-phase transmission line. The use of time-space Clarke vectors allows the introduction of mutual coupling between phases. The analytical expressions for voltage waves are derived and the distributed parameters of the model are calculated by means of finite-element method (FEM), considering a specific induction machine that was studied by other authors. Some examples are proposed in order to confirm the model validity and to underline certain fundamental aspects of the project of three-phase stator windings of induction machines. The applications considered leads to numerical results in qualitative agreement with those calculated and/or measured by other authors. In a forthcoming work on the subject, the authors propose to compare the theoretical results presented here with those resulting from an experimental campaign.