Re: 120v 277v insame 3ph box
Originally posted by jim dungar: In any three phase system, if all line-line voltages are equal then the resulting voltage triangle (a-b, b-c, c-a), must be an isosceles. . . .
They are not only isosceles, but they are also equilateral. Not the point.
Originally posted by jim dungar: This arrangement can only be drawn as an equilateral triangle where each long leg is 240V and the middle point of one leg is identified.
I'm not talking about drawing a physical model of the transformer connections. I am talking about a phasor diagram of the voltages.
Originally posted by jim dungar: Charlie, there is only one possible triangle.
No, there are two, and only one is correct for this application. The other is nonsense. But which is which? I did not explain clearly how the two come into existence. What I am looking for is a reason to believe it should be the right triangle, and not the obtuse triangle, as explained below.
Take a look at jbwhite's sketch (good job, by the way, jb). Ignore the arrows, as they only serve as pointers, and do not represent phasors or vectors.
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- <font size="2" face="Verdana, Helvetica, sans-serif">Consider the voltage from N to B. Represent it as an arrow with its origin at N and its tip at B. Give it the name "Vnb."</font>
<font size="2" face="Verdana, Helvetica, sans-serif"></font>
- <font size="2" face="Verdana, Helvetica, sans-serif">Now consider the voltage from B to C. Represent it as an arrow with its origin at B and its tip at C. Give it the name "Vbc."</font>
<font size="2" face="Verdana, Helvetica, sans-serif"></font>
- <font size="2" face="Verdana, Helvetica, sans-serif">Give the name Vnc to the voltage from N to C.</font>
<font size="2" face="Verdana, Helvetica, sans-serif">Question:
</font>
- <font size="2" face="Verdana, Helvetica, sans-serif">Is Vnc = Vnb + Vbc?</font>
<font size="2" face="Verdana, Helvetica, sans-serif"> or
</font>
- <font size="2" face="Verdana, Helvetica, sans-serif">Is Vnc = Vnb ? Vbc?</font>
<font size="2" face="Verdana, Helvetica, sans-serif">These two give different triangles. From the first equation, we get a right triangle, with side BC as its hypotenuse. From the second equation, we get an obtuse triangle, with a 120 degree angle between side NB and side "-BC."
Which is the correct representation of this set of voltages, and why? The part of phasor math I was never really good at was applying the correct subscript notation (Vnc versus Vcn). I was a Navy nuke, as you might have read in other posts. The problem with us Navy nukes is that if you give us a 50/50 guess, we will guess wrong 90% of the time. So we are not encouraged to do much guessing.