I’d like to know if the following step-by-step procedure is correct to size the conductors and protections of feeders and branch-circuits, based on the 2020 NEC. I want to make sure I understand the NEC correctly regarding this.
Procedure only for current-carrying conductors; no ground wires nor balanced neutral wires. And only overload protection is considered, no short-circuit protection is considered. The load is assumed as given.
1. Data
I’d like to know if the formulas are correct, if the logic in the text is correct, if I’ve added an extra step or an extra factor in a formula, if I’ve missed a step, if I’ve done a step that’s actually not required by the Code, etc.
Procedure only for current-carrying conductors; no ground wires nor balanced neutral wires. And only overload protection is considered, no short-circuit protection is considered. The load is assumed as given.
1. Data
- Feeder or branch-circuit.
- Continuous load: 30 A.
- Non-continuous load: 20 A.
- Current-carrying conductors (CCC) in same raceway: 4.
- OCPD rated 80%.
- Ambient temperature: 40°C.
- Terminal temperature rating (OCPD): 75°C.
- Conductor insulation temperature rating: 90°C.
- Not all conditions of sec. 240.4(B) are satisfied, so such exception can't be applied.
- Voltage drop isn't a concern. And the NEC doesn't even require voltage drop consideration. So it's omitted.
- Short-circuit protection (OCPD interrupting rating) isn't considered for simplicity, neither for the OCPD nor for the conductor size.
- Minimum OCPD size [sec. 215.3]: 30 A * 1.25 + 20 A * 1.00 = 57.5 A.
- Minimum OCPD standard size [table. 240.6(A)]: 60 A.
- Case a) (sizing by ampacity by continuous load multiplier):
- Minimum conductor ampacity [sec. 215.2(A)(1)(a)]: 30 A * 1.25 + 20 A * 1.00 = 57.5 A.
- Minimum conductor gauge at an insulation temperature rating equal to the terminal temperature rating (75°C) [table 310.16 and sec. 110.14(C)(1)(a) item (3)]: #6 AWG (ampacity of 65 A at 75°C insulation).
- Case b) (sizing by ampacity by ambient temperature and number of CCCs in same raceway):
- Total load: 30 A + 20 A = 50 A.
- Conductor ampacity correction factor for more than 3 CCC in same raceway [table 310.15(B)(1)]: 0.91.
- Conductor ampacity correction factor for ambient temperature different from 30°C [table 310.15(C)(1)]: 0.80.
- Minimum conductor ampacity [sec. 215.2(A)(1)(b)]: (50 A)/(0.91 * 0.80) = 68.68 A.
- Minimum conductor gauge at an insulation temperature rating equal to the conductor insulation rating (90°C) [table 310.16 and sec. 310.15(A) second paragraph]: #6 AWG (ampacity of 65 A at 75°C insulation).
- Final selection by ampacity without considering OCPD: the one that satisfies both cases [sec. 215.2(A)(1)], that is the thicker wire or equivalently the one with greater ampacity: both cases yield the same, so #6 AWG.
- Selection of allowed ampacity of conductors:
- Conductor ampacity at an insulation temperature rating equal to the terminal temperature rating (75°C) [table 310.16]: 65 A.
- Conductor ampacity at an insulation temperature rating equal to the conductor temperature rating (90°C), and derrated by temperature and CCCs: 75 A * (0.91 * 0.80) = 54.6 A.
- The lowest of the ampacities is chosen [sec. 310.14(A)(2)]: 54.6 A. This is the allowed ampacity of the conductors. And the OCPDs must be sized according to this allowed ampacity [sec. 240.4].
- Is the previous allowed ampacity equal to or greater than the OCPD size? If yes, then the calculated final conductor gauge remains (#6 AWG at 90°C insulation). If no, but all conditions of sec. 240.4(B) are satisfied, then the calculated final conductor gauge remains (#6 AWG at 90°C insulation). If no, and not all conditions are satisfied, then the conductor gauge must be increased.
54.6 A ≥ 60 A? No. And since it is assumed not all conditions of sec. 240.4(B) are satisfied, it's necessary to recalculate the minimum conductor gauge, this time based on the chosen OCPD standard size and not the load. It's not permitted to instead reduce the OCPD from 60 A to 50 A (the previous standard size) because then sec. 215.3 is violatted in that the minimum size must be 57.5 A.
- Minimum conductor ampacity based on OCPD: (60 A)/(0.91 * 0.80) = 82.42 A.
- Minimum conductor gauge at an insulation temperature rating equal to the conductor terminal rating (90°C) [tabla 310.16]: #4 AWG (ampacity of 85 A at 90°C insulation). This is the gauge by ampacity considering the OCPD.
I’d like to know if the formulas are correct, if the logic in the text is correct, if I’ve added an extra step or an extra factor in a formula, if I’ve missed a step, if I’ve done a step that’s actually not required by the Code, etc.