wewire2;I may be mis-reading the post, so please inform of any detours...
A:
In Chapter 9, table 8 of the NEC I'm curious as to why the conversions from mm2 to Circular mils are missing for wire sizes 250MCM to 2000MCM.
If I am reading this query correctly, the AWG sizes => 250 MCM will append with Three Zeroes;
i.e.: 250,000 CM to 2,000,000 CM
"MCM" = 1,000 Circular Mills - being synonymous with "Kcmil", also meaning 1,000 Circular Mills.
Old English / Roman Numerals (IIRC) term "Mill" for 1,000, so "MCM" = "Mill, Circular Mills" - or 1,000 Circular Mills...
Translation; 250 MCM = 250,000 Circular Mills.
The first "NON-MCM" size downward from the first MCM is:
4/0 AWG; which is 211,600 CM
B:
It's easy to do the conversions but can't figure why they are left out
The AWG (CM) to Square Millimeters conversion factor appears to be apx. 1,974.34 CM = 1.0 mm2.
Using the above values with 250 MCM:
250,000 / 1,974.34 = 126.6245935 mm2.
Rounded to nearest "One" makes the converted value "127 mm2", which is listed in Table 8
C:
Also 250.122(B) Says to use the circular mil area of the conductor for proportionate up-sizing. If it's proportionate then what's the reason for not using mm2 figures in the calculations?
Math-wise, the equation may be compiled using either Circular Mills ("CM"), or Square Millimeters ("mm2") for expressions.
The resultant - if mm2 was used, would be the equivalent Conductor Size per the American Wire Gauge (AWG).
The Conductor's Size - in AWG listing, would be the closest related CM -vs- mm2 size.
Example:
A 100 Amp Feeder, originally planned to use (3)#1 THHN CU + (1)#8 CU EGC, is up-sized to use (3)#2/0 THHN CU., for Voltage Drop compensation.
What is the corresponding size for the Equipment Grounding Conductor (EGC), using Metric Values.
a.: Conductor Area - Values For Expressions:
#8 = 8.367 mm2 (16,510 CM)
#1 = 42.41 mm2 (83,690 CM)
#2/0 = 67.43 mm2 (133,100 CM)
b.: Ratio Equation:
C = B/A where:
"A" = Original Conductor Size (#1 THHN)
"B" = New Conductor Size (#2/0 THHN)
"C" = Multiplier.
Using the Metric equivalents:
(B) --2/0-- = 67.43 mm2
Divided By
(A) --#1-- = 42.41 mm2
Equals the Multiplier
(C) --1.589--
Multiply the equivalent Metric Value of #8, by the Multiplier achieved above:
8.367 mm2 * 1.589 = 13.30 mm2
The new adjusted EGC Size is 13.30 mm2
Multiply 13.30 mm2 by 1,974.34 to derive the CM Equivalent, which is 26,259 CM - slightly higher than the listed CM of #6, which is 26,240 CM.
Table 8 shows 13.30 mm2 to be equivalent to #6 AWG, so the Equation using Metric Expressions arrived at the same end value.
In conclusion;
An Equation to find the EGC's new increased size may be comprised by using either:
a.: Circular Mills for the Expression,
Or,
b.: Square Millimeters for the Expression.
Either way, the resultant value will be applied to a relevant AWG size.
(such as the equivalent sizes listed per NEC Chapter 9, Table 8)There 'Ya go, nice and clear!;
Clear as Mud / Thick, Dense Fog / Pea Soup, etc...
Let me know if the above "Math = Mud Transparency" stuff came close to answering your queries, or if there are any additional questions.
--Scott (EE)