True for single phase non-linear loads.You're missing that the third harmonics are in phase w/ each other and add.
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However if you had an absolutely pathological and virtually impossible situation, where the loads were so non-linear that only 3rd harmonic current flows, then the neutral current would be the sum of the line currents, that is for balanced loading the neutral current would be 3x the line current.
You are correct in your description of the underlying math/physics. But the language of the code is not that nuanced. It does not refer to triplen harmonics or any particular type of non-linear load. Instead it tells you that if the degree of non-linear loading is high enough (but without a specific calculable threshold) then the neutral must be counted as a current carrying conductor. And the neutral must be correctly sized for the load, which may be larger than 100% of the ungrounded conductor amps in the case of some specific non-linear loads.To confirm I understand what you are saying:
As an absolute worst case scenario of nothing but 180Hz 3rd harmonics and little (if any) of the fundamental 60Hz, it could be possible to need a 300% neutral. However, it is an extremely improbably situation in practice, and a 200% neutral fits what is typically needed for practical cases of harmonic-intensive loads.
What if all your loads are similar to VFDs of motors, where harmonics are abundant, but triplen harmonics systematically never happen? Would neutral still have to count as a CCC, and would there be any need for a neutral larger than the phase wiring?
What if all your loads are similar to VFDs of motors, where harmonics are abundant, but triplen harmonics systematically never happen? Would neutral still have to count as a CCC, and would there be any need for a neutral larger than the phase wiring?
In the absolute worst case you have 3 180Hz sine waves adding together, and yes the neutral current is 300% of the line current.To confirm I understand what you are saying:
As an absolute worst case scenario of nothing but 180Hz 3rd harmonics and little (if any) of the fundamental 60Hz, it could be possible to need a 300% neutral. However, it is an extremely improbably situation in practice, and a 200% neutral fits what is typically needed for practical cases of harmonic-intensive loads.
What if all your loads are similar to VFDs of motors, where harmonics are abundant, but triplen harmonics systematically never happen? Would neutral still have to count as a CCC, and would there be any need for a neutral larger than the phase wiring?
Good thought. Although a VFD may have line to neutral surge suppression elements connected internally, it makes sense that its rectifier bridge be connected line to line to provide a six pulse output instead of the three pulse that you would get running line to neutral with a single diode on each line. Theeoutput voltage would be higher too.In the absolute worst case you have 3 180Hz sine waves adding together, and yes the neutral current is 300% of the line current.
As was pointed out in a private message however, things get more complicated when you consider RMS current calculations for more plausible scenarios. I posited some sort of rectifier load with conduction only at the peak of the sine waves; in this case the neutral current would be sqrt(3)* the line current. I suspect that this is the worst case practical scenario, a balanced set of single phase rectifier loads with no attempt at harmonic correction.
Interesting thought. I think that any large VFD would have its rectifiers connected line-line and would not put any current at all on the neutral. If you had a large number of small VFDs connected line-neutral, then you might have a problem. If you are describing any sort of hypothetical 3 phase non-linear load, you are almost certainly talking about something without a neutral connection.
-Jon