Re: Breaker Rating vs Line Current
Since you are an engineer (albeit of the mechanical persuasion, and therefore are deceived into believing that closing something will stop flow
), you will understand the following math. The three phase currents (presuming the loads are reasonably well-balanced, which is a good bet), can be represented by:
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- <font size="2" face="Verdana, Helvetica, sans-serif">Ia = Im cos(wt)</font>
<font size="2" face="Verdana, Helvetica, sans-serif"></font>
- <font size="2" face="Verdana, Helvetica, sans-serif">Ib = Im cos(wt -120)</font>
<font size="2" face="Verdana, Helvetica, sans-serif"></font>
- <font size="2" face="Verdana, Helvetica, sans-serif">Ic = Im cos(wt-240),</font>
<font size="2" face="Verdana, Helvetica, sans-serif">Where,
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- <font size="2" face="Verdana, Helvetica, sans-serif">Im is the peak current, and</font>
<font size="2" face="Verdana, Helvetica, sans-serif"></font>
- <font size="2" face="Verdana, Helvetica, sans-serif">"w" (we usually use the Greek small-case letter omega) is 2 pi times the frequency (i.e., 2 pi times 60 hertz).</font>
<font size="2" face="Verdana, Helvetica, sans-serif">Regarding the value of Im, we typically express the current not in terms of the peak value of the sinusoidal curve, but rather by the "root-mean-square" value of the same curve. For a pure sine wave, that turns out to be the peak value divided by the square root of 2. So if you are seeing 1600 amps on a given phase, the actual curve will have a peak value of around 2262 amps.
Do whatever mathematical manipulations are most familiar to you, but add those three curves together. Use trig identities, or use vector addition, or use a spreadsheet to calculate values point-by-point. You will discover that they sum to zero. They have to. It is obvious that they have to.
What this means is that you can measure 1600 amps on phase A, 1600 amps on phase B, and 1600 amps on phase C, and that the sum of these three is zero.
Now I have to ask, "Why do you ask"? What type of project are you doing, and what is your role? I must pry in this manner because this Forum has rules that prohibit our giving "how-to" information that would assist persons who are not electricians to perform electrical installation work at their own homes. I suspect that you would not be installing anything with 1600 amps worth of load at your own home. But may I still ask for the nature of your interest?