The main idea of this article is to model and analyze the short circuit fault between the turns of the stator windings of a Permanent Magnet Synchronous Motor (PMSM). To accomplish this objective, a numerical model describing both the healthy and defective state of the PMSM is developed. Besides, this dynamic model is simulated and tested to study motor behavior under different fault conditions. Also, the frequency domain analysis based on the famous fast Fourier transform (FFT) as well as the time-frequency analysis using discrete wavelet transform (DWT) is established. This allowed extracting signatures related to the presence of an inter-turn short-circuit (ITSC). In the proposed method, ITSC detection is based on the decomposition of stator currents and electromagnetic torque. DWT and spectral analysis show that the low-frequency wavelet details as well as the total harmonic distortion (THD) can be easily used as a good short-circuit indicator. The simulation results of a healthy and faulty motor show the effectiveness of these two approaches but with a significant superiority of the DWT over the FFT.