If its a 2.2KW inverter most can handle loads 150% higher for x amount of time.
Therefore 3.3KW 3ph possible.
As stated my inverters hard wired from 240V single ph direct feed on its own 32A RCD. The 5KW inverter running 400V i could easilly get the spindle to slow, same with a Transwave rotary convertor 5.5KW. My rare motor has the equivalent of trying to start a 9HP one.
My other 7.5KW output inverter 3ph 400V i cant get the spindle to slow, so far on same machine.
Fair enough i was putting a bit of a cut on to actually register over 5KW on single ph 240V supply. A smaller machine would use same electric over a longer period so dont let that put you off. Took it up to well over £1.50+/hr actual usage in the past, it will be interesting what this translates to in 240V single ph kw, ill let you know.
Maybe this is down to the make and design of the inverter. Hope i havent open up a can of worms but i would dearly love to know.