Symmetrical step-up and step-down autotransformer delta topology

A power supply system, comprising:

• a three-phase generator configured to generate a three-phase input voltage;
• an autotransformer comprising:
• three primary windings connected in a delta configuration and configured to receive the three-phase input voltage, wherein each primary winding of the three primary windings has a respective center tap and a respective plurality of taps having a symmetric arrangement about the center tap;
• and
• a plurality of secondary windings, wherein each secondary winding of the plurality of secondary windings:
• is electrically coupled with a predetermined tap of the plurality of taps that corresponds to a predetermined first primary winding of the three primary windings,
• is magnetically coupled with a predetermined second primary winding of the three primary windings, and
• has a combination of the predetermined tap and the second primary winding that is different than combinations for other secondary windings of the plurality of secondary windings;
• one or more buses coupled with the autotransformer and configured to provide a plurality of phase-shifted three-phase outputs and a plurality of multi-phase outputs;
• a first rectifier connected to a first bus of the one or more buses, the first bus providing a first multi-phase output of the plurality of multi-phase outputs, the first rectifier configured to provide a first direct current (DC) output;
• and
• a second rectifier connected to a second bus of the one or more buses, the second bus providing a second multi-phase output of the plurality of multi-phase outputs, the second rectifier configured to provide a second DC output that is different than the first DC output.

A method comprising:

• determining a combination of an output voltage and an output phase to be provided by an autotransformer, the autotransformer comprising first, second, and third primary windings connected in a delta configuration and configured to receive a three-phase input voltage;
• determining, for a secondary winding to be electrically coupled to a tap point of the first primary winding, a plurality of induced voltage vectors between the combination and the first primary winding, wherein each induced voltage vector of the plurality of induced voltage vectors corresponds to (i) a respective potential location for the tap point on the first primary winding and (ii) a respective amount of magnetic coupling between the secondary winding with a selected one of the second and third primary windings;
• and
• selecting, from the potential locations corresponding to the plurality of induced voltage vectors, a location for the tap point on the first primary winding.