The power source is from the aircraft itself. -ACBUS28VDC is the primary aircraft Bus which is powered by the generator of the aircraft.Your AC to DC Power-Supply/Charger should have a Bridge-Rectifier on it's Output,
so it doesn't need or want an additional Diode-Drop.
The other Circuit doesn't seem to make much sense,
there appears to be no Power-Source to supply the Battery.
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I don't understand why I should have a Bridge-Rectifier on the output of the AC/DC. It already output 28VDC I don't need to rectify it?
AC/DC will be use on the ground while in the air the aircraft will power the battery. Battery will power system