Electrical system of a vehicle with electric propulsion and control method thereof

An electrical system (15) of a vehicle (1) with electric propulsion achieved by at least one electrical machine (8); the electrical system (15) has: a storage section (16) provided with at least one battery (21) consisting of a plurality of cells (33), each of which is connected in series with the other cells (33) and is provided with a bypass branch (34) that is connected in parallel to the cell (33) and has a bypass switch (35); a section (17) of traction that interacts with the electric machine (8) and is equipped with a power electronic converter (13) that exchanges electrical energy with the storage section (16); and a section (18) of the auxiliaries, which powers auxiliary services (19) of the vehicle (1), has a buffer battery (20) and is electrically powered by the storage section (16); a first connecting switch (24) connecting the storage section (16) to the section (17) of traction; and a second connecting switch (25) connecting the storage section (16) to the section (18) of the auxiliaries.