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The aim of this paper is to develop a doubly-fed induction machine (DFIM) model suitable for the simulation of this machine in any system with control circuits and/or connections to the grid by means of power electronics converters. The circuit-oriented approach has been chosen in order to represent the DFIM model as a rotating transformer. In fact, a class of universal machine model has been built to be used with simple input electrical parameters such as stator and rotor resistances, self, leakage and mutual inductances. With the model, it is possible to simulate any kind of asymmetry in both stator and rotor sides with or without variations of the machine parameters. A specific wound-rotor induction machine model, using only resistances, inductances and controlled voltage sources, has been developed. The coupling effects between stator and rotor have been taken into account stator-rotor mutual inductances. The performances of the model have been verified by comparison between simulation and experimental results on a 0.09 kW-220 V/380 V-50 Hz-4 poles DFIM working in motoring mode at standstill, no-load and rated load conditions.