Current transformers are generally connected to small impedance. If it is not the case, the flux density and the magnetizing current are not negligIble. This report deals with this case. More over the current may he non sinusoidal and its mean value May he different than zero. To take account these specificity an anaIytical model is developed. In a first time the hehavior of the assembly (current transformer and its load) with sinusoidal currents is studied. An non linear, analytical, model is developed. The importance of the leakage flux is evaluated In a second time the model is extended to any type of current' s wave form. The frequency' s variations of the magnetic characteristic are taken into account In a third time the non linearity of the magnetic material is modelised At this time the hehavior of the transformer submitted to any type of current May he computed. This report is closed by a study of magnetic characterization using a non symmetrical current.