Could you show me an example please
100A continuous load, 3 CCCs, 75C termination temperature, 90C insulation rating. Ambient temperature in part of the run is 60C, which controls correction and adjustment; temperature correction factor for 90C insulated conductors in 60C ambient is sqrt((90-60)/(90-30)) = 0.707 (or check the table).
First check: At termination, the 75C table ampacity must be at least 100A * 125%. So check Table 310.16 to find conductors in the 75C column that are at least 125A. For Cu, #1 is the smallest allowable size. [Note that for a 100A 100% rated breaker, the conductor termination ampacity at the breaker need only be 100A in the 75C column. But the utilization equipment is very likely to require the 125% factor.]
Second check: For the run of the wire in the 60C ambient, the 90C table ampacity must be at least 100A/0.707 = 141A. So find conductors in the 90C column that are at least 141A. For Cu, #1 is the smallest allowable size.
Third check (only when some of the loading is continuous, or sometimes when 240.4(B) does not apply): if using a normal (non-100% rated) breaker, then the OCPD for the 100A continuous load must be at least 125A. 240.4 requires that the wire have an ampacity of at least 111A, via subsection (B) which allows rounding up to the next higher OCPD if the conditions are met. The ampacity is the value in the second check. So we actually need a conductor whose 90C column entry is at least 111/0.707 = 157A. For Cu, #1/0 is the smallest allowable size.
So for this load, we could use a 125A regular OCPD with #1/0 Cu conductors. Or if we were able to get a 100A 100% rated OCPD (not so likely), we could use it with #1 Cu conductors.
Cheers, Wayne