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I've started to read the papers but have difficulty following the arguments as the (English) language is somewhat peculiar. My initial reaction is based on my understanding on how transformers work as analysed in the magnetic domain where the coil currents create mmf (magnetic "voltage"), the core reluctance acts like magnetic resistance and flux acts like electric current. The loaded secondary creates mmf at 90 degrees to the flux hence acts like magnetic "inductance".
The trap most people seem to fall into is to consider the secondary as producing Lenz flux, and then to dream up ways of negating that Lenz flux. In fact the secondary does not produce any flux, it only produces mmf. The alternating flux in the transformer changes very little between no-load and full-load conditions (in the perfect transformer it doesn't change at all). The primary magnetizing current creates that flux, and that remains at a constant AC value. Somehow the transformer acts to draw load current from the primary whose mmf exactly opposes the mmf from the secondary, so those load currents do not create flux. In my view trying to stop the secondary from creating Lenz flux is the wrong approach.
If there is flux leakage because primary and secondary are separated from each other, then that opposition of mmfs is no longer exact, and the difference between primary and secondary mmf is what drives that leakage flux through the reluctance of that leakage path. That leakage flux does not represent a loss since it is generally through air, so it can be used to store energy that can be recouped. It strikes me that the asymmetrical transformer, if it works at all, must use that leakage flux to create a primary load current that is not 90 degrees shifted from the magnetizing current. Then it is possible to argue that the atomic dipoles responsible for the high mu of the core can actually supply anomalous power. So I already have a biased view that is at variance to anything written in those Russian papers. Smudge
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