Hi I think you make things too complicated using electronic knowledge in part when it is not useful. Here is my idea for consideration: use ordinary push-pull circuit first with a proper HF choke on input with a additional electronic snubber to suppress any high frequency oscillations. Second circuit is a disruptive discharge on the same ferrite core which push-pull operates on (or on secondary core as you wish if you direct output of push-pull there) - with a almost non-inductive winding at 90 degrees (i non-inductive relation) to the push-pull windings . The output of push-pull must have hf diode bridge. The essence of non-inductive winding and disruptive discharge circuit in non-inductive relation to the original power source winding (push-pull winding) is to create very fast pulses at push-pull winding by a special mode of operation. This winding should create big magnetic field in one direction followed by equal opposite big magnetic field in counter direction , with nanoseconds delay between. This will cause saturation of core for nanoseconds - breaking push-pull magnetic induction action for this period. Along with normal push-pull output will be also HF oscillation of additional energy - it will be on secondary and primary also - so here is the trouble. I believe all the Akula, Ruslan, Dally,SR913 devices with ferrite core work that way (or trying to do so). Electrons are valves to the cosmic energy from external magnetic field (Earth field), every generator in reality condense the external field, input energy is just wasted. When magnetic flux is passed through material using electrons momentum it cannot flow in two directions at the same time.So if you saturate core in 90 degrees then the original flux is broken too
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