David et al
A specific that many are not aware of and are left wondering when discussed is the following.
The transformer that feeds your home and many small businesses has a single phase impressed across the primary winding. Usually called a HV winding. No big deal for this discussion. The "secondary winding" is actually two identical windings. Sometimes called tertiary windings. But this term usually leaves most on the dark. Not a commonly used term since we don't usually get into the actual electrical and/or mechanical construction of transformers, let alone the ones feeding our homes. To most they are simply an unknown on the pole in the alley or in a pedestal box in the front yard of residential houses.
Back to the actual transformer. A primary winding and two identical secondary windings. The seondary windings are wound identically within and about the primary winding. Well insulated of course. The primary winding impresses each winding identically, in this case, 120 volts. So the operation of the secondary windings are identical.
The secondary windings are connected in an addtive fashion to give 240 volts across the ends of the connected windings. Their common terminal, internally connected, is sometimes thought of as a "center" tap. But the windings are not actually centertapped. They are only connected in a additive fashion to give the desired 240 volts. 120 volts is of course is simply a connection to a hot lead and the common terminal. When both windings are utilized we end up with two "hot" leads which are used for the 120 volt loads. The same additive principle could be used to give perhaps 360 or 480 volts.
But in no case, with the information presented here, is there any method or device utilized to give any additional phases. One or two or more. The hot legs are simply the same phase, transformed as needed, added within the transformer, with the resultant two hot legs, 180 degrees out of phase with each other. Were the windings connected "in phase" the available voltage would be 50% and the power, amps, available doubled.
Three phase distribution starts with a generator with 3 sets of windings that is distributed as three phase and utuilzed as needed. Residential as this discussion continues, and large users with many motor (inductive) loadings commonly found in motors 5 or more HP. The
5 HP figure is an industry norm that takes advantage of the inherent advantages of 3 phase. Mainly distribution costs and three phase motors.Disclaimer: Transformers, power distribution, are not my usual area of expertise. This would be several different lifelong careers followed by others. I simply deal with it on an almost daily basis and have for over 50 years.
Enough for a long day.
Bob AZ