Ok Sophie , here are my answers.
First of all I never said that changing the dielectric would be basically different than moving plates , I understand it;'s the same thing just one is longer lasting solid state the other is mechanical and probably less efficient that's all.
Also excuse me for not telling this but I never considered this apparatus would not need energy input , ofcourse it would need energy input as the charge flowing back and forth through the transformer would be lost r better said transformed to the secondary which would be under load , say a resistor.
So +ve attached and a load on the secondary was in my head all the time I just have been focusing more on the primary driving idea as the other factors like energy supply and load is nothing new.
So on each cycle one cap would charge up the other would discharge and the lost charge due to emf and induction on the loaded transformer would be replaced by the incoming charge from the +ve supply just as in other cirucits.
Now , if only the dielectric could be made to change like in a mosfet the gate opens and closes the transistor based on applied charge and electric field inside the device , it could actually be a pretty efficient and cool device would it ?
So the pirnciple works, +ve supplied, transformer if its properly made, is a efficient device as we know it, a capacitor also has no problems in terms of efficiency , so the only quesion is for the dielectric and how to vary it , I;m not saying that such a material is possible to make , also I;m not saying how good it wuld be as I don't have nor the calcualtions nor a physical prototype to back it up , I am just asking you to do a little imagine thing.
So if for example a dielecric could be made , not saying it's possible just if, that varies when a charge is applied to it then , I could use a circuit which just drives some charge to one caps dielectric and then back into the other , pretty much like a gate controller IC applies and drains the charge from mosfet gate to either open it up or close it.The charge is not lost in that case , the energy either , it;s just transferred from one place to the other.
Ofcourse as I said I don't know how would the material need to be made to inherit such properties like varyable permittivity upon applied charge and it would probably need to be some mixed material as you cannot apply a charge to a pure delectric.
Well I hope you understand that this is more about the idea than a physical device, and yes some physical moving plates or other device like that would be very innefficient ofcourse , also would probably occupy too much space for a given power output , so the only thing that comes to mind is a special type of dielectric, it it's possible ofcourse.