- Location
- Placerville, CA, USA
- Occupation
- Retired PV System Designer
No need for transformers, just connect the two motors either line-to-line or line-to neutral but not the same line-to-line or line-to neutral. Balancing depends on the 1Ø motors having different HP ratings and thus FLA's. Then there's the issue of power factor and whether it plays any role in balancing.
For an overly simplified answer, assign HP of 5, 10, and 15 to the connected 1Ø motors, connect the other two LN to the same lines as the already-connected 5 and 10 conversely to the existing 5 and 10. Single phase motors will have 15 HP connected to each line. The 3Ø motor is irrelevant to the proposal.
An important condition in the statement of the problem is "to keep the load balanced". That implies that it is already balanced with the three single-phase motors already in place.
That takes your simplified answer out of consideration. <sigh>
I will not say any more, other than to confirm that if you can freely choose the size of the additional motors and you can change the existing wiring it can be done.