For some time now, I have been trying to figure out what (in theory) would be the most efficient way transfer power across a transformer. Applications include high voltage power supplies and induction heaters. I have become very interested in the Royer oscillator and derivatives of it such as the "Push-Pull 2n3055 driver" mentioned here:
<http://wiki.4hv.org/index.php/Flyback_transformer>.
What bothers me about the Royer oscillator and its derivatives is that it uses two transistors to control two coils (center tapped) rather than four transistors to control one coil. I have a hunch that there exists a way to improve on the design using a full h bridge rather than a push-pull center tapped design.

I have been working on a driver, and I need some help determining how it might work/fail and/or scale.

![fullroyer](https://i.stack.imgur.com/4b68R.jpg)

The design is not complete yet, but I was hoping it would at the very least convey where I was going with this. At best, this is going to be the design I build on by adding some protection for the transistors and driver.

I tried to make the picture as illustrative as possible despite the bad quality. Please let me know if/when you have trouble reading it and I will try to clarify. The driver relies on 4 pairs of op amps with their inputs crossed as seen here
[How to make an h bridge using only comparators](https://electronics.stackexchange.com/questions/30175/how-to-make-an-h-bridge-using-only-comparators).
![comparator driver](https://i.stack.imgur.com/cwFzK.png)

(imagine it without the capacitors and resistors)

Each pair of op amps controls one transistor. They all switch according to the voltage generated by the feedback coil F. I think I have the wiring displayed correctly, but the feed back coil outputs may need to be flipped.

My understanding of transformers:
As I understand transformers, a rate of change in the primary induces a change in magnetic flux which travels through the secondary. This induces a voltage in the secondary. The current that flows through the secondary in response creates a magnetic flux that cancels out that of the primary. The impedance of the load at the secondary then determines how much current flows through and therefore how much of that flux from the primary gets canceled out. The more flux that gets canceled the less the total flux in the core of the transformer changes. The less the total flux changes, the less resistance there is to a change in current at the primary. So the net effect is that when dI\_primary*N\_primary~dI\_secondary*N\_secondary, most of the energy is transferred from the primary to the secondary, and there is very little impedance at the primary. However, if there is something at the secondary that prevents current from flowing through it, then when the current through the primary changes, there is a net change in the magnetic flux through the core of the transformer. This net flux travels back to the primary and induces current that opposes the original change in current. In effect, it behaves like the magnetic field in an inductor. 

The principle of operation of my circuit (or at least the one I am shooting for):
When there is a large net change in magnetic flux through the transformer that would otherwise induce a back emf in the primary, a voltage is induced in the feedback coil which quickly switches the h bridge that is feeding the primary. This induce an emf that helps switch the direction of the current flow on the secondary. However, the very fast change in voltage at the primary would probably induce a change in flux a too large to be absorbed/canceled by a change in current at the secondary. This will cause some of the change in magnetic flux to again leak through the feedback coil and flip the h bridge. 
Now this would obviously not lead to a resonance effect at the secondary so much as a very fast oscillation at both if not for the fact that it takes a finite voltage to be induced in the feedback coil for the h bridge at the primary to be flipped. The amount of time it takes for that voltage to build up will depend on how well the secondary can absorb/cancel the change in flux sent by the primary. So when the change in magnetic flux sent by the primary can be absorbed/cancelled by the secondary, the feedback coil does not get enough change in flux to flip the h bridge.
The net result (hopefully) is that the duty cycle of the h bridge at the primary changes as the phase of the oscillation at the secondary changes. The effect I am hoping for is that the average change in magnetic flux induced by the primary approximately cancels the average change in magnetic flux induced by the secondary--at least over the course of a many flips of the h bridge.

I could be completely wrong in both my theory and my circuit. I am still rather new to electronics and am learning the best I can.