Prediction of Failure Path Current for Synchronous Reluctance and Interior Permanent Magnet Synchronous Machines Accounting for Saturation

This article proposes a model for obtaining the failure path current and torque waveforms in synchronous machines with saliency under interturn short circuits (ISC). The variations of the magnetomotive force (MMF) due to an ISC can lead to changes in the inductances, which lead to errors when modeling motors with ISC. A compact approach based on complex numbers is proposed to solve the dynamic ISC equation. The proposed method uses rotor reference frame variables and parameters as inputs. These rotor reference frame quantities are transformed to a stationary frame aligned with the faulted coil, thus extracting the real part of these quantities, allowing to solve the ISC dynamic equation quickly. Look-up tables are implemented to account for the MMF variations due to an ISC and saturation. The proposed model is validated with finite element analysis and experiments.