I thought I will put my 2 pence worth which please think hard about it. If you are looking at types of transformers where the secondary does not affect the primary, I think you will be losing every time. I think you have to look at a way of using a DC current to move a magnetic field or a charge around a none magnetic core in the form of a loop. If you move a charge between two plates a magnetic field is created. The primary is a coil wound around a two-plate capacitor, a charge is placed on the capacitor, then a DC current is applied to the coil to charge it, then you discharge that coil, the polarity of the coil changes and the current continues in the same direction as the charge. If this is done in a loop and with several coils around this loop shaped capacitor, the charge in the capacitor will move around that capacitor loop. Moving charge creates a magnetic field which moves at the same rate as that moving charge, like this we create a moving magnetic field which does not affect the coils around the outside (primary) in a negative way. The coils have to be sequential in their charge and discharge in a special way, SM has hinted at this and the frequency will dictate the speed of that moving charge/magnetic field. The output is DC with a slight blip caused by the loop charge current, it is the loops capacitance which smooths the output to DC and naturally an inductive load can not be connected without isolating the output circuit. If this is not appropriate for this thread PM, please delete it, but I really think it is valid. Regards Mike 
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