If you’re really careful you could have parallel sets of series transformers feeding into a common feed.
At a much larger scale, that is exactly what the grid is, actually.
It just sucks dramatically from an operational perspective compared to having one correctly sized transformer.
Could you parallel two (or more) sets of three single-phase transformers into a single circuit on the secondary side assuming they were all identical and the conductors are all the same length? I assume it’s more economical to just have one three-phase transformer for instrumentation/control and switching reasons, just wondering on a theoretical level.
To an extent, you can do this, as long as you have systems in place to shed load and prevent the components from failing in quick succession by circuit breaking.
Also i believe transformers are much more graceful handling overcurrent than silicon. But everything has its limits.
And yes, you could parallel sets of even series transformers together. It will work fine, until something happens and then it doesn’t (or explodes). Making that not happen is relatively non trivial and is a lot of why keeping a working power grid working is non trivial and a lot of work.
At larger scales, when this goes wrong it can cause grid blackouts. Smaller scales, fires.
Since a single transformer rated for the load it will carry is pretty simple and ‘just works’ in almost all scenarios, it’s more economical just using a single one when you can.
No sane way to do that with two different power plants on opposite sides of the state, of course.