This paper presents a simple state-space representation of induction machine (IM) transients under stator winding inter-turn short-circuit fault. The mathematical development of this dynamic model is presented in detail and the differential equations are transformed into space-vector form for reduction reasons. The simulations of this transient model are conducted in MatLab script using ordinary differential equation (ODE) solver. For verification purposes, the results of this simulation are compared with the ones obtained for the symmetrical IM. A turn fault signature study is performed for fault detection and identification using the electromagnetic torque ripple and the symmetric components transformation of the stator currents.