But you are linking timing with a difference in phase so you are saying timing is relevant when talking about a phase difference.
I am.
You can have a phase difference without having a time shift (or phase shift) like you might have in the audio world.
Like the push-pull circuit, you mean? Yes, it's called a phase splitter, and we understand why, but it really is a polarity inverter, just like an active phase splitter.
One could use a 1:1 transformer to invert a phase, but it, too, is really is a polarity inversion. You couldn't use one to synthesize another phase, just an inverted one.
Apparently, I associate poly-phases with time, or time lapse, and not just an "is it additive or subtractive?" perspective. Look at the two-batteries-in-series case again:
If you ground the negative end, it's a dual-voltage (yet single-polarity) supply, but if you ground the center point, it's a bi-polar supply. All with no other changes.
With our 180 degree difference, there is no missing 1/2 cycle at the beginning of one of the waveforms and no extra 1/2 cycle at the other end.
Which, to me, strengthens the argument that a genuine phase shift (timing difference, whichever) requires that missing half cycle. Genuine phase shift requires time.
Let's say we had a device that can alter phase of an AC voltage, and dial it anywhere from 0 deg thru 90 deg leading thru 180 deg thru 90 deg lagging, and back to 0 deg.
In my opinion, when it's at 180 degrees, relative to the input, it is indeed a 180-deg phase shift, and it also becomes a polarity inversion, but there's a difference:
The output is being compared to the input. With the secondary of a single phase transformer (where we agree we don't care about the primary), there's no outside reference.
In other words, I don't agree (technically speaking) that one half of the winding is out of phase with the other half. It can't be, because it's a single winding, center tap aside.
I agree that it resembles a 180 deg shift, but it ain't one. That's how I see it.
There is no phase/time shift that produces the 120 degree phase difference . . .
To me, there is, starting with the physical 120 degrees between the phase windings on the alternator.
. . . there is no phase/time shift that produces the 180 degree phase difference.[/i]
There, I agree.
You can have a 180 degree phase difference created by more than one source. You can have 3 phases created by one source, although the single source would be run through more than simple transformers.[/i]
Absolutely.
If I hide the source from you, you would not be able to tell me how I created the two waveforms with a 180 degree difference.
No, but I would know that you had two sources. A transformer winding is a single source. It's two batteries in series that keep simultaneously flipping over in their holders.
You could have two single-battery holders or one two-battery holder with a tap, but you must flip the batteries simultaneously. I that case, I couldn't tell which.
But, I could tell you had a single source (group) because the total voltage is always twice that of one battery, or always "180 deg out of phase." You're only swapping polarity.
You'd need two independent sources which happened to be at 180 deg, relatively speaking, to actually have an out-of-phase voltage source; it has to be out of phase with something.
One source is always "in phase" with itself, no matter how many connections it has. If you want to use the center tap as your reference, go ahead, but there's only one "phase."
I have no idea how much sense this is all making, but it sure is fun.