Yes, in the case of 3-phase (replying to replies to my post #3), it operates even if the common and load are not grounded together. My simulations show this. So as I composed my post, I re-examined the OP to see if whether it mentions 3-phase from the transformer.
I only found the phrase:
3 seperate single phase
Single phase implies not 3-phase. And single phase is how the transformer operates according to his winding arrangement in the schematic. Therefore he has no current flow until he installs a common ground.
If there's a method to persuade one and only one flux field to build and collapse so as to create 3 evenly spaced waveforms, I don't know what it is.