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Good question. The back transfer is very small especially since the back impedance, normally an inductor, is very large In sophisticated current sensors feedback winding are used to neutralize the back ripple. Oscillation is a question of control.

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I think that this not a realistic situation because the same flux is passing throughout the core. Such a scenario will be similar to the case of a heating wire that will start building up the temperature at one point along the wire.

Send me your enil and the slode number or minute in video and Iwill try to send you the asc. sby@bgu.ac.il

I will try

@@sambenyaakov Thank you:)

Not really, the current can go slowly down this will bring H to a lower value which will bring the core out of saturation.

You seem to overlook that this video discusses open loop approaches.

@@sambenyaakov I didn't watch every second of it