Transformers and Regulated Power Supplies

This information is readily available. Try a google search of "regulated power supply design" for design basics, formulas, wiring and application notes and even complete downloadable books on the subject.

http://eu.st.com/stonline/books/pdf/docs/1707.pdf

Also, Wikipedia has plenty of good info

http://en.wikipedia.org/wiki/Ripple_(electrical)

Exercise extreme caution when working with the 230V ac side of transformer circuit, least you wind up dead.

http://en.wikipedia.org/wiki/Electric_shock

Oh, additionally you will need special servo motor controllers to allow the servo motors to work (you cannot just connect power to them like you would a standard DC motor). Also, you will need special battery charger regulators to properly charge the batteries (you cannot just connect a regulated power supply across a battery).

That should be a reversible synchronous servomotor and an auto transformer. The design is same a automatic voltage stabilizer.

What do you mean by reversible synchronous servo motor?

The rotor rotates in synchronism with the rotating field, thus the name synchronous motor is often used to designate servo motors of this design.

http://www.electricmotors.machinedesign.com/guiEdits/Content/bdeee4a/bdeee4a_4.aspx