Have you devolved into personal attacks?
Pardon me for being so blunt. I get tired sometimes and tend to lower my diplomatic guard. I was stating what I thought appeared to be your trouble-spot in understanding the voltages I have been discussing. It appears to me you seem to have issues of some sort in this area. I'm basing my statements on what you post.
We have been discussing
practically forever that one voltage from the center-tap to end is 180 degrees out of phase with the voltage from the the center-tap to the other end. I connect two voltages together where one has a rise from the center to the end and the other has a fall from the center to end and you say that is not what is there. :-?
You should understand that one voltage rise from end to center in series with a second voltage rise from center to end must have different reference points than the two voltages described in the previous paragraph.
There is no question in my mind that this concept is an issue in the communication. It is a simple voltage vector concept that we learned decades ago, and I'm sure you long before me. But I'll try to be more diplomatic in the future when pointing out communication trouble-spots.
The fact remains, if you are not following the voltage vector for X1-X2 vs. X1'-X2', then it seems to me that is why you can't follow the points I have made about a voltage reference. I don't know how else to explain why you are not following the voltage vectors unless you are just not reading close enough or something.
You admit that 'phase-opposed' voltages can not be directly connected, your drawings clearly indicate you are actually adding the opposite of your 'phase-opposed' voltage. This contradicts what you have said in previous posts.
The diagram does show them connected at the neutral and it is exactly what I have said in the past. The phase-opposed voltages have always been discussed as being connected at the neutral point (both have their "X1" points directly connected together at the neutral).
But you say I am wrong for wanting to describe the number of phases based on the actual connections of the voltages.
You are wrong for saying that the voltage between two points can only have one reference. You are choosing your references so both voltages are in phase with the high-side of the transformer. Saying that this is the only choice is simply ignoring the other reference options.
Again, discussion of a potential difference has no significance until a reference is chosen. The voltages are defined by their reference. Saying that we must use the line-side voltage as a reference for both load-side voltages is defining the reference frame for both of the load-side voltages. But it is not a universal reference.