Electronic – Soldering ACN/ACL (blue/brown) wires to outlet plug

While I can't be entirely sure, since these are mostly poorly-documented Chinese brand motors, the wiring diagram there seems to indicate that mains should be applied across the black wire and the speed wire of your choice, most likely with white being the fastest and blue being the slowest.

I'm guessing this based on two facts: black wire tends to be ground or common, and the black wire has a thermal cutoff installed, which would make sense if it's a common line.

You should just be able to apply 220-240V AC mains across those lines (e.g. neutral to black wire, live to white, yellow, or blue) and it should work. No guarantees though - I'm guessing this entirely based on the photos you provided and a similarly named product range I found online.

> residential

> 3-phase, 2 phases to each house

> 208V between phases

You are either in New York City or certain countries in Central America which do that. Brazil does something similar but at 127/220V, which is close enough to work with most North American appliances.

If you have two poles / phases L1 and L2 neither near earth, and you want 120V, you will need an isolation transformer. An autotransformer won't do because 120V requires a neutral wire that is near earth potential for safety. It might be OK if the 120V machine is double insulated.

Easier is to just pull a cable to that location which has a neutral wire.

You cannot use equipment safety ground as a current return. If anything goes wrong it will light up your entire grounding system. Things which are supposed to be safe will be lethal.

Everywhere else in North America, 3-phase is only used for transmission. Near your house, one phase is tapped by a single phase transformer. The transformer gives 240V center tap which goes to the houses.