I appreciate your persistence David.
I think you are mixing concepts because you said "Suppose the minimum feeder size current is 110A"...Sections (a) and (b) talk about minimum conductor size, not minimum current size.
The parent language in 2011, 2014, 2017 and 2020 all start off with the phrase, "
Feeder conductors shall have an ampacity not less than....". So I am not convinced the intent is size since it is well known a particular wire size can have different ampacities depending on the conditions of use. Furthermore, parts (a) and (b) state requirements for the minimum feeder conductor size in terms of its ampacity, so once again its about the property of ampacity. Size of wire is arbitrary, ampacity is not since parts (a) and (b) provide quantitative values that must be satisfied. Again, refer to the parent language.
1) I think you can find somewhere online the proposal for the language change submitted to the NEC, with the intent given therein.
Have you actually seen this or are you speculating?
2). 215.2(A)(1) doesn't actually mention taking the larger of the conductor "ampacities."
Refer to NEC 2020 215.2(A)(1) parent language.
215.2(A)(1)(a) and (b) both use the words "the minimum feeder conductor SIZE..."
True but I maintain that it is in reference to the property of ampacity. The size is arbitrary so long as the conductor with the larger ampacity is selected.
As far as doing the short cut method, I'm not sure why this is tripping you up.
(The fine print notes in 215.2 tell you to see the examples in Annex D. The example D3(a) uses the shortcut that I have described...it divides the load current by the adjustment and correction factors to find the minimum conductor size.)
Its tripping me up because Annex D is informative only and its not enforceable. Just like some informative annexes are known to have errors. That by itself is not sufficient to suggest it is allowed, especially when Section 310.15 clearly spells out that the temperature correction/adjustment factors shall be permitted to be applied to the ampacity for the temperature rating of the conductor. Sections 310.15(B)(1) and (C)(1) also elaborate that the purpose of the correction/adjustment factors are to modify the conductor table ampacity. Nothing that I am familiar with suggests applying correction/adjustment factors to load current.
If you need a conductor to carry a load current of 110A, what size 90deg conductor would you need when you have 6 current carrying conductors, and what size 75 deg conductor would you need when you have 6 current carrying conductors? And how would you arrive at those conductor sizes?
You would select a hypothetical conductor, use its table ampacity in conjunction with the correction/adjustment factors to determine its modified ampacity, then compare the modified ampacity of the hypothetical conductor selected to the requirements of 215.2; If the modified ampacity satisfies the requirements of 215.2, you may select that conductor for use.
For 110A load consisting of 100A non-continuous and 10A continuous 6 current carrying conductors, my interpretation is as follows:
215.2(A)(1)(a) requirement - Ia = [100A + 1.25*(10A)] = 112.5A or
Ia = 113A
215.2(A)(1)(b) requirement -
Ib = 110A
so
Ia > Ib (always the case), therefore the minimum conductor size must have an ampacity of no less than
113A
Ampacity of 1/0 AWG 75*C wire = [150A*(0.80)] = 120A
Ampacity of 1/0 AWG 90*C wire = [170A*(0.80)] = 136A (but limited to 75*C column ampacity of 120A so you cant use this value)
Ampacity of #1 AWG 75*C wire = [130A*(0.80)] = 104A (cannot use this value since it 104A<113A)
Ampacity of #1 AWG 90*C wire = [145A*(0.80)] = 116A (limited to 75*C column ampacity of 130A, but since 116A<130A you must use 116A per 310.14(A)(2) and 310.15(A))
Therefore #1 AWG 90*C wire is the minimum feeder conductor size for this particular case since 116A >= 113A.
So the complete answer is a #1 AWG 90*C conductor with an ampacity of 116A is the minimum feeder conductor size permitted to carry a load of 110A under the conditions of use. You could also use a 1/0 AWG 75*C conductor with an ampacity of 120A to carry a load of 110A, but this is not the minimum feeder conductor size you could get away with so we disregard it for purposes of this discussion.