Re: Selecting ambient temperature correction factors from Ta
I agree with this statement from Bob:
Originally posted by rbalex: I think 110.14 is due for a rewrite as a whole. I'm just not sure I'm up to it.
I don?t think I am up to it either.
I also agree that a close look at 310.16 reveals that correcting a 90C wire for temperature, using the 90C correction factor, will always give you a higher number than correcting the same size 75C wire for temperature, using the 75C correction factor. True, but irrelevant. Keep in mind that you might be under a 30C ambient, but have to correct the 90C wire for more than three current-carrying conductors. This might bring the total ampacity below that of a 75C wire.
Try looking at it this way:
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- <font size="2" face="Verdana, Helvetica, sans-serif">An excessively high temperature could destroy the terminations.</font>
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- <font size="2" face="Verdana, Helvetica, sans-serif">The terminations are rated for 75C.</font>
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- <font size="2" face="Verdana, Helvetica, sans-serif">That means that in a 30C environment, using a 75C rated conductor (e.g., THW), if you operate the system at the current levels given in the Table (e.g., 50 amps for a #8), then we can be sure that the temperature rise from the I2-R losses in the wire will be no higher than 45C. That is, the 30C ambient plus the 45C temperature rise will not exceed the 75C rating of the terminations. Also, the 30C ambient plus the 45C temperature rise will not exceed the 75C rating of the conductor.</font>
<font size="2" face="Verdana, Helvetica, sans-serif">Now let?s consider using the same THW conductor, but make the ambient 40C.
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- <font size="2" face="Verdana, Helvetica, sans-serif">Suppose that we do not correct for temperature, and that we apply the same current as above (e.g., 50 amps for a #8).</font>
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- <font size="2" face="Verdana, Helvetica, sans-serif">The conductor will experience the same I2-R losses, since that is based on the resistance of the metal, and not the insulation system. (For this discussion, we can safely ignore the second-order effect of a higher temperature on the resistance of the wire.)</font>
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- <font size="2" face="Verdana, Helvetica, sans-serif">Therefore, the 40C ambient plus the 45C temperature rise will exceed the 75C rating of the terminations (and the conductor), and something is likely to become damaged.</font>
<font size="2" face="Verdana, Helvetica, sans-serif">Now let?s consider using a type THHN conductor. It is rated for 90C, but the terminations are still rated for 75C. Let?s consider a 40C ambient. Let?s stay with the #8.
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- <font size="2" face="Verdana, Helvetica, sans-serif">The 90C rating of a #8 is 55 amps. Correcting for 40C (from the 90C column) is a factor of 0.91. Thus, 55 amps times 0.91 is 50 amps. That is the same as the 75C column for a #8 (with no correction for ambient). That is, if we use the method proposed by lauraj and endorsed by ?the other Bob? and by wirenut1980, we would see that "Answer 1" and "Answer 2" are the same, and that the "lower of the two answers" is still 50 amps.</font>
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- <font size="2" face="Verdana, Helvetica, sans-serif">So let?s run the 50 amps through the #8 THHN in this 40C ambient.</font>
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- <font size="2" face="Verdana, Helvetica, sans-serif">It?s the same 50 amps we talked about earlier, so we can expect the same 45C temperature rise.</font>
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- <font size="2" face="Verdana, Helvetica, sans-serif">The conductors will see the 40C ambient plus the 45C rise from I2-R losses. That puts the conductor at an overall temperature of 85C. That is within the 90C rating of the conductor?s insulation system, so it will be safe.</font>
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- <font size="2" face="Verdana, Helvetica, sans-serif">However, the terminations will see the 40C ambient plus the 45C rise from I2-R losses. That puts the terminations at an overall temperature of 85C. That is beyond the 75C rating of the terminations, and they will be subject to failure.</font>
<font size="2" face="Verdana, Helvetica, sans-serif">The way to avoid the risk of failure is to derate the 75C value of ampacity for the temperature of the terminations.
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- <font size="2" face="Verdana, Helvetica, sans-serif">The ampacity of a #8 THW at 40C ambient is 50 amps times 0.88, or 44 amps.</font>
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- <font size="2" face="Verdana, Helvetica, sans-serif">For this scenario, the ?Answer 1? is 50 amps, and the ?Answer 2? is 44 amps.</font>
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- <font size="2" face="Verdana, Helvetica, sans-serif">Conclusion: If we keep the current below 44 amps, then neither the conductor?s insulation nor the terminations would be above their temperature ratings.</font>
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