It is yesterday's tech, and there are little details to be found about the implementation because a lot of know-how was necessary above the basic theoretical information, and it was kept more or less confidential because lots of experiments and trial-and errors were necessary to arrive at a workable device: it was a trade secret
Nowadays, with modern design techniques, the design could be much more efficient and deterministic, but nobody is interested in it anymore, because of the poor efficiency.
You could experiment with saturable inductors in LTspice: the advantage is that it costs nothing except your time. When you experiment with real iron and copper, each step is time-consuming and costly.
A good starting point for real tests would be a microwave oven transformer: it already includes the magnetic shunt required (once you arrive at something satisfactory, you can change the turns number) .
SOTA regulators were much more complex than just a transformer and a cap: they were capable of providing their good, pure sinewave output for up to 1 second after the power was interrupted.
I must have documentation about MCB regulators somewhere, but it is in French, and does (of course) not contain any design-usable informations