A voltage-behind-reactance model and validation for six-phase synchronous machines

The voltage-behind-reactance (VBR) model is used more and more in modeling and simulation of electrical machines due to its improved efficiency and flexibility. So far, the VBR model has been applied to represent the standard three-phase synchronous/induction machines only. It is necessary to extend the VBR model to include multiphase machines that are commonly used in aircraft, ships, and other applications. This paper presents the VBR model formulation for six-phase synchronous machines wherein the mutual leakage couplings between the two sets of three-phase stator windings and the cross-saturation of the magnetizing path in both of the d-q axes are considered. The stator windings of the proposed model are represented by inductive branches, which can be used in circuit simulation directly. The steady-state and transient performance of the model is then validated by two computer simulation cases against previously-validated models.