I think you're underestimating your problems.
I'll list a few things I think you should've considered in your drawing.
- Find a cable rated for 80 A in a vibrating environment, matching connectors.
- find a solution for connecting your components. Calculate how wide your tracks would need to be on a PCB, allowing 50°C of temperature increase on a 70 µm copper PCB.
- So, considering the input power needs to be at least the output power, do a calculation of the current you draw from the 220 V grid. Then calculate how much power the conducting diodes in your bridge rectifier dissipate.
You want these to be synchronously switched FETs, most likely.
- Calculate the necessary size of the input capacitor if you don't want your voltage to fall below say 150V across that under maximum current draw. Check the price on that, and how much it'll get warmer due to heating through ESR.
- Dimension your system: Which switching frequency do you aim for?
- The higher the frequency, the smaller your inductance needs to be (calculate the size, copper and core weight of the inductor you need).
- But the higher the frequency, the more power you lose when switching the FET. Calculate how much waste heat you need to dissipate!
- Try to find a price for that FET. Note down its gate capacitance. Evaluate alternative choices like IGBTs.
- How will you drive that FET? Build a gate driver.
- Calculate the losses in the wheel diode ("FWD") in your circuit based on the above switching frequency
- After you've done that, you have done the basic design steps for a voltage converter. That's not a Lithium battery charger! You need a lot more logic and sensors to make it one. And a lot more failsafes to make it a non-explosive battery charger.
- Take your plans, and show it to an EMI testing engineer. Bring Vodka.
The losses in semiconductors are what drives people to use other, resonant technologies.