120304-1026 EST
rattus:
Yes to your question.
What rbalex was doing was using a trig identity to change the sign in front of the function in order to make the argument of the function the same in two different functions.
Originally
f1 = A sin (wt), and
f2 = A sin (wt +180), and
then by a trig identity it was changed to
f2 = - A sin (wt). So now f1 and f2 are by rbalex's logic singular because the arguments are now the same. We are interested in the functions f1 and f2 and these are not the same.
It is all a matter of what dictionary one is using, and how those meanings represent what you are trying to study.
Because leg 1 and leg 2 are of opposing polarities (180 degrees out of phase) you can not connect them together. So even if all loads are single phase loads there are still two different source phases.
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Looooong ago I explained to Bes why your misinterpretation of my position is in error. (It wasn't the time, he tried to introduce "hexiphase" into the discussion.) While the voltage functions of a conventional two-phase system may have the same
t0 and period, the functions don't have an identical
phase.
Using a "conventional two-phase" system, and a common
t0 and period, you still will not be able to resolve the arguments to less than ([ω
t + φ
0]) and ([ω
t + φ
0]+ 90?) or their equivalent inverses. Likewise for conventional three-phase delta systems with a common
t0 and period, the arguments cannot be resolved to less than ([ω
t + φ
0]), ([ω
t + φ
0]+ 120?) and ([ω
t + φ
0]+ 240?) or their equivalent inverses. However you don't introduce EVERY equivalent inverse into the argument mix to create new mythical phases which is what the "'2-phases' in a single-phase system" advocates are attermpting to do.
My earlier response to you was limited to the logical application of the definition of
phase to a conventional 120/240V system where all valid voltage functions have the same
t0. That is, the arguments of every valid function can be reduced to ([ω
t + φ
0]) OR its equivalent inverse -([ω
t + φ
0]+180?), but you DON'T get to write them indiscriminatey in terms of BOTH - THAT is what introduces the myth.