This thesis consists of two parts: • PART I is carried out in collaboration with the University of Surrey at their “Hardware-in-the-loop Drivetrain Test Facility”, with the aim of characterising a prototype of a novel electronic limited slip differential. Such a characterization is carried out by considering relevant performance parameters in a different steady-state conditions to test the differential in its two operating conditions: open differential and eLSD. In particular, a group of tests (straight conditions and turn conditions of the vehicle) are carried out in order to evaluate the behaviour of an open differential, focusing on the internal friction of the device and what they entail, namely its self-locking effect and therefore its efficiency.