You are over thinking this.
Almost all VFDs are capable of accepting single phase input, so long as they are sufficiently over sized to accommodate the added DC bus ripple and the increased current flowing through the rectifier. Most mfrs will provide you with a de-rate factor that addresses the DC bus ripple issue and that is always higher than the single phase current ratio (x 1.732) anyway. The gross general rule is that if the VFD has an internal DC bus choke, the de-rate factor is 50%, so the VFD is 2x the motor current rating. If the VFD does not have a DC bus choke, then the typical de-rate factor is 60%, so the VFD is sized at 2.5x the motor current rating.
The only other thing to watch out for is whether the VFD has a phase loss trip function and if so, can it be disabled? There are a few brands that do not allow the phase loss trip to be disabled, they are the only ones that cannot be used this way. But a lot of VFD mfrs have figured out that they can protect against phase loss by monitoring the DC bus ripple directly rather than measuring the actual line voltages, and since that is the only problem, it allows the VFD to be used on single phase, which increases the applications they can sell to. So over the years those that disallow a phase loss have caught on to their limitations and have been changing. I don’t even know of any of the major brands that cannot accept single phase left on the market.
Once you get that solved, then you only need to deal with the voltage. If you TRULY only have one leg of the 400V three phase distribution and the neutral to work with, then simply buy a standard transformer for the INPUT side of the VFD, in other words just boost it to 400V single phase, then use a properly sized 400V rated VFD as per above. But if you actually have two phases of the 400V distribution available, no transformer is necessary.
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