The critical part of the design is NOT the sinewave generator, its the
2 KW inverter. This is a major design in terms of magnetics, layout,
timing, safe area of components. If you have never done any power
design before this a very challenging design to tackle.
I had the pleasure of calling on 3 very senior EEs that designed plasma
cutting and welding equipment over many years. Each visit was generally
a humbling experience.
There are ap notes at Ixsys, IR, ST, etc.. on high power inverters,
that would be a starting point.
Good luck.
Regards, Dana.