In a previous post I mentioned that the ampacity needed to be 94A (75x125%). I'm confused by your response.
In my mind the ampacity needs to be 94A because of the 75A continuous load. Correct?
No, that is not correct.
Now, I have 9 current carrying conductors in the same raceway so derating is required. Correct? So, how do you figure out what size wire is needed after accounting for the 9 CCCs?
You didn't mention if this was a feeder or branch circuit, but the rules are similar for both. 215.2 & 215.3 cover feeders and 210.19 & 210.20 cover branch circuits.
Your calculated load is 75A. Per 215.2(A)(1) (assuming feeder,) the conductors shall have an ampacity not less than required to serve the load...that is 75A. So you need a conductor that has an ampacity of at least 75A.
The second thing 215.2(A)(1) requires is that the conductor have a minimum
SIZE, before the application of any adjustment or correction factor, that has an allowable ampacity of not less than the noncontinuous load plus 125% of the continuous load. This is where the 125% comes in. 75A*125%=93.75A. Table 310.15(B)(16) tells us that the
smallest allowable conductor will be #3 AWG.
Next, you are applying an adjustment factor for 9 CCCs, which is 70%. That means you need a conductor that has an ampacity of at least 75A/0.7=107.1A. Since you are using THHN, the 90deg column can be used. T310.15(B)(16) shows that #3 AWG, THHN will have the proper starting ampacity, 115A. (Or going in the other direction, #3 THHN has an allowable ampacity of 115A at 90deg, applying the 70% adjustment factor makes the ampacity 80.5A, which is larger than the load of 75A from the first line of 215.2(A)(1)).
Next, 215.3 says the conductor must be protected against overcurrent per Part I of Art 240, and also says the rating of the ocpd shall not be less than the noncontinuous load plus 125% of the continuous load, or 93.75A, so a 100A ocpd would be the minimum size allowed, so let's assume the ocpd is 100A. The #3 AWG adjusted for 9 CCCs has an ampacity of 80.5, so it would not be properly protected by a 100A ocpd using the next size up rule.
#2 AWG would have an adjusted ampacity of 91A, so #2 THHN would have an ampacity large enough for the load (first part of 215.2(A)(1)), would be larger than the minimum allowable conductor size (second part of 215.2(A)(1)), and would be properly protected by a 100A ocpd (per 215.3 and 240.)