Determination of the Inductances of Salient Pole Synchronous Machines Based on the Voltage Equation of a Single Coil in the Stator Winding

Abstract

An improved model for calculating the current distribution of salient pole synchronous machines with internal faults in the stator winding is established using the multiloop method. For this purpose, good knowledge of the time-depending inductances is necessary. In this paper, a calculation method is presented to determine the inductances of a salient pole synchronous machine based on the voltage equation of a single coil in the stator winding, in particular, the mutual- and self-inductances of the stator coils, the mutual inductances between the stator coils and the field winding, the self-inductance of the field winding, the mutual inductance between the stator coils and the damper loops, the mutual inductance between the field winding and the damper loops, as well as the mutual inductance between the damper loops. The method presented here considers the analytical calculation of the magnetic flux density based on the magnetomotive force and the time-depending air-gap permeance function of the salient pole synchronous machine. The analytical approach has been validated with the finite-element method and experimental results for two different salient pole synchronous motors.