An electrical system includes a battery disconnect unit (BDU) connected to a rechargeable energy storage system (RESS) via a high-voltage bus. The BDU has one or more contactors that close responsive a low-voltage drive current to thereby connect the RESS to the high-voltage bus. A low-voltage drive circuit conducts the drive current to the contactor(s). Opening of a low-voltage connection interrupts the drive current and causes the contactor(s) to transition from the closed state to an open state. The contactor(s) open in response to interruption of the drive current to thereby disconnect the RESS. The contactor(s) may be closed again after a lockout safety procedure, such that reestablishing the electrical connection does not itself re-energize the high-voltage bus. An electrified powertrain includes a transmission, electric machine, power inverter module, and the above-noted electrical system.