Only if VL2-N(t) is a sine wave. So yes, in the special case of a sine wave, take your pick between "times -1" and "180 degrees out of phase." I'll pick the one that applies more generally, "times -1".
Cheers, Wayne
120/240/1 IS a SINE wave
Only if VL2-N(t) is a sine wave. So yes, in the special case of a sine wave, take your pick between "times -1" and "180 degrees out of phase." I'll pick the one that applies more generally, "times -1".
Cheers, Wayne
But how probable is perfect balance under all circumstances?In fact, with perfectly balanced 120 VAC loads, we don't even need the center-tap; we could connect the loads in series across the 240. Everything but the imbalance is across 240VAC.
"180 degree phase shift" is more standard in the classroom than "times -1"?I get the idea Wayne is presenting and do not mind, but I prefer to stick to standard classroom methods.
OK. But other voltage waveforms regularly occur in reality.120/240/1 IS a SINE wave
120/240/1 IS a SINE wave
We call it single phase because that's exactly what it is. One primary winding, one secondary winding - produces just one sine wave from L1 to L2. It doesn't stop being a single phase xfmr because we tap the midpoint to provide 120 VAC.
In fact, with perfectly balanced 120 VAC loads, we don't even need the center-tap; we could connect the loads in series across the 240. Everything but the imbalance is across 240VAC.
Only if VL2-N(t) is a sine wave. So yes, in the special case of a sine wave, take your pick between "times -1" and "180 degrees out of phase." I'll pick the one that applies more generally, "times -1".
Cheers, Wayne
Actually three, but who is counting.
Good point.Actually three, but who is counting.
OK. But other voltage waveforms regularly occur in reality.
Cheers, Wayne
"180 degree phase shift" is more standard in the classroom than "times -1"?
Cheers, Wayne
but this thread morphed from another where I was ridiculed for saying 120/240/1 is comprised of 2 waveforms of differing phase
VL1-L2(t) = -1 * VL2-L1(t). If the voltage VL1-L2 is 240V, the voltage VL2-L1 isn't "negative 240V."
We call it single phase because that's exactly what it is. One primary winding, one secondary winding - produces just one sine wave from L1 to L2. It doesn't stop being a single phase xfmr because we tap the midpoint to provide 120 VAC.
Can you show me a real life power distribution tranny with a single secondary winding and a center tap?
Everyone I find is two separate windings ones on a common core with x2 and x3 leads. Whether internal or external.
In the ideal definition, yes.120/240/1 IS a SINE wave
In the ideal definition, yes.
And in a totally practical, physical, sense it is a good approximation to a sine wave, with to a better approximation to a wave with only odd harmonics present.
It is sufficient for the result that -V(theta) = V(theta + 180) that only the fundamental and odd harmonics be present in the waveform V.
It doesn't matter if it is one coil with a center tap or two coils with a jumper. The coils consist of individual turns and the individual turns are electrically in series, and the center tap is simply connected to one of the turns (either directly or via the x2 x3 leads). They are equivalent.
It is a single phase transformer. Everyone here agrees that it is a single phase transformer. There is approximately a single flux coupling all of the turns of the coil (only approximately; remember leakage inductance). All of the turns of the coil develop approximately the same voltage.
That does not change the fact that there are _two_ apparent phase angles, that you can use these _two_ phase angles to do correct math describing the operation of the transformer and the neutral.
The _fact_ that you can do correct math to give correct predictions using phase angles of 0 and 180 is sufficient to make clear that the two phase angles are present. They are related by inversion, they are in some senses the same (zero cross at the same time), and by alternate selection of reference you can change the system to have only a phase angle of 0. But you can still do correct math with _two_ phase angles. We agree not to call the system a 'two phase' system, but clearly there are two phase angles available.
-Jon
"180 degree phase shift" is more standard in the classroom than "times -1"?
Cheers, Wayne
Not in the classrooms I have been in.