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In the last years automotive industry has shown a growing interest in exploring the field of actively controlled differentials due to the promising expectations of their application for the improvement of handling performances. The differential here considered has two clutches, which connect each driveshaft with a second part that, through a gear, always rotates faster. This device allows the control system to transfer torque from one wheel to the other one, almost independently from their relative velocity. The control algorithms development has been carried out using a vehicle model that can precisely simulate the handling response, the powertrain dynamics and the actuation system behaviour. To obtain a representative powertrain response, the development of a customized library in Simulink has been required. The results of this preliminary modelling phase are shown in the first part of the paper.