Question

purpose of the power stat / transformer in a simple distillation

Answer 1

The purpose of the power state/transformer in a simple distillation is to provide the static amount of energy to the solvent molecules so that they can cross the condensation barrier and get distilled with similar kind of molecules as a pure solvent.

To get the pure solvent system of a similar kind of solvent molecules power state/transformer is required for simple distillation.