Electric drive system of a hybrid or electric vehicle

An electric drive system of a hybrid or electric vehicle comprising a transmission and at least a first (BA) and a second (BB) battery pack, said first battery pack being formed by a first plurality of cells, equal between each other, wherein one cell of said first plurality of cells identifies a first predetermined C-rate coefficient, namely a first predetermined cell power/capacity ratio, and said second battery pack is formed by a second plurality of cells, equal between each other, wherein one cell of said second plurality of cells identifies a second predetermined C-rate coefficient, namely a second predetermined cell power/capacity ratio greater than said first predetermined C-rate coefficient, and wherein the drive system comprises at least a first (CA) and a second (CB) set of electromagnetic induction windings to cause at least one rotor (RT) connected with said transmission to rotate, respectively independently powered by said first and by said second battery pack via respective first (IA) and second (IB) inverters, wherein the first battery pack (BA) drives the first inverter (IA) and the second battery pack (BB) drives the second inverter (IB), wherein the first inverter is always active delivering all power levels comprised between 0 and a predetermined threshold that is a fraction of a maximum power deliverable by the first battery pack, and the second inverter is activated for supplementing the first inverter when the first battery pack has reached the predetermined threshold.