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Since this is your first design, it may be most practical to set the zero crossover of your loop way below the RHPZ frequency. By doing that, at the frequency at which that RHPZ starts raising the gain, your total loop gain will be far below 0dB and the system will be stable.
It sounds like this is either a homework assignment, or your company didn't hire a power conversion specialist to design an inverter.
Which is it?
This is definetly not something which an inexperienced person can design in 4 weeks.
The series inductance of a transformer depends on the layering of the windings, distance between layers, etc, etc. The parallel inductance depends on the core material, shape, turns, etc. You really can't just assume 90%.
So, you need 220 volts direct inverter battery charger. That is confusing.
If you describe what you need in detail, maybe someone on this forum can help you.
Make a discrete comparator (standard textbook back-to-back PNP's driving an NPN) using exptemely low collector curoff current devices. Here's a few:
MMBT5771, FMMTL618.
Your resistor values will have to be >30Meg.
Don't expect low quiescent current above 40C though.
First you said you have 2 inductors, then you showed us a schematic of what looks like either a coupled inductor or a simple transoformer.
If you could describe what you have, someone could help you.
hint: Whats the core? what's the leakage inductace? What's your interwinding capacitance?
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