This disclosure provides for magnetic integration of multiple sources using a source powered transformer structure with decoupled secondary windings. A power system for a motor vehicle includes a matrix transformer that has two separate cores, a primary winding that is wound around each of the cores, a first secondary winding that is wound around one of the cores, and a second secondary winding that is galvanically isolated from the first secondary winding and is wound around the other of the cores. The system also includes circuitry that transfers power from an AC source to the primary winding, transfers power from the first secondary winding to the traction battery, and transfers power from the second secondary winding to the auxiliary battery.
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