A power management system (100) comprising a power generator (1) for providing a supply signal (Vchg) to a load (2), a floating controllable bi-directional current sensor (N1) coupled via a first connection (10) to the power generator and via a second connection (20) to the load (2) for detecting a positive current (pos) flowing from the power generator (1) to the load (2) and a negative current (neg) from the load (2) to the power generator (3). In accordance with the invention, the floating controllable bi-directional current sensor (N1) is controlled by a current management block (3) coupled to a control terminal (G) of the floating controllable bi-directional current sensor (N1) and to the first and second connections (10, 20) for controlling an equivalent voltage between the first connection (10) and the second connection (20), for providing a first current (Ipos), which is proportional with the positive current (pos), and for providing a second current (Ineg), which is proportional with the negative current (neg).