Determination of the inductances of a synchronous machine with unsymmetrical stator winding based on the voltage equation of a single coil in the stator winding

An improved model for calculating the current distribution of synchronous machines with cylindrical rotor (SMCR) and internal faults or missing coils in the stator winding is established using the multi-loop method. For this purpose, a good knowledge of the time-depending inductances is necessary. In this paper, a calculation method is presented to determine the mutual and self-inductances of the stator coils as well as the mutual inductances between the stator coils and the field winding of a SMCR. The damper winding is not considered in this step. The method presented here considers the analytical calculation of the magnetic flux density based on the magnetomotive force (M.M.F.) and the time-depending air-gap permeance function of the SMCR.