Rooftop Solar PV Conduit Thermal Ampacity Derater
Calculate derated solar DC cable ampacity by compounding outdoor ambient design temperatures (NEC 310.15(B)(1)), rooftop conduit distance thermal adders (NEC Table 310.15(B)(2)), and conductor bundling fill factors.
Quick Engineering Standard: Compounded Rooftop Thermal Derating
NEC 310.15 • NEC 310.16 • NEC 690.8Rooftop solar DC conductors experience extreme thermal stress where outdoor air temperature, radiant roof heat, and bundled electrical resistance combine. Under NEC Table 310.15(B)(2), conduit installed within 0.5 inches of a dark roof incurs a +33°C (+60°F) adder, elevating internal conduit temperatures past 65°C to 75°C on a standard summer day. When compounded with a 0.80 bundling factor for 4 to 6 conductors, a 10 AWG 90°C copper wire rated for 40A in free air is derated by over 50% to just 18.5A to 20.8A. Elevating the conduit at least 3.5 inches above the roof surface saves up to 15°C of heat, often eliminating the need to upsize to 8 AWG wire.
Raceway & String Design Inputs
Derated Ampacity & NEC 690 Compliance
NEC 690.8 Compliance & Installation Assessment
Governing NEC Rooftop Derating Formulas
Rooftop raceway sizing requires compounding two distinct derating multipliers against base ampacity:
Empirical NEC Rooftop Distance & Thermal Adder Matrix
Reference table showing the thermal adders, temperature correction factors (90°C rated wire), and resulting derated ampacity for 10 AWG copper wire across various roof elevations:
| Conduit Height Above Roof Surface | NEC Thermal Adder | Eff. Temp @ 35°C Ambient | Temp Factor (90°C Wire) | 4–6 Cond. Factor | 10 AWG Allowable Ampacity (Base 40A) |
|---|---|---|---|---|---|
| On Roof / < 0.5 in (< 13 mm) | +33°C (+60°F) | 68°C (154°F) | 0.58 | 0.80 | 18.5 Amperes (-53.8%) |
| 0.5 in to 3.5 in (13 mm to 90 mm) | +22°C (+40°F) | 57°C (135°F) | 0.71 | 0.80 | 22.7 Amperes (-43.2%) |
| 3.5 in to 12 in (90 mm to 300 mm) | +17°C (+30°F) | 52°C (126°F) | 0.76 | 0.80 | 24.3 Amperes (-39.2%) |
| 12 in to 36 in (300 mm to 900 mm) | +14°C (+25°F) | 49°C (120°F) | 0.82 | 0.80 | 26.2 Amperes (-34.5%) |
| > 36 in / Ground-Mounted | 0°C (0°F) | 35°C (95°F) | 0.96 | 0.80 | 30.7 Amperes (-23.2%) |
Worked Engineering Walkthrough: 2-String 10 AWG Rooftop Run
Two parallel strings of PV modules with $I_{sc} = 11.5\text{A}$ are routed through a single rooftop EMT conduit using 10 AWG THHN copper wire. Base ampacity from NEC Table 310.16 (90°C column) is $40.0\text{ Amperes}$. Maximum circuit current per NEC 690.8 is:
I_max = 1.25 * 11.5A = 14.38 Amperes.
The outdoor summer design temperature is $38^\circ\text{C}$. The EMT conduit is mounted on rooftop strut blocks $1.5\text{ inches}$ above the shingles ($+22^\circ\text{C}$ adder per NEC Table 310.15(B)(2)). Total effective internal temperature is:
T_effective = 38°C + 22°C = 60°C.
At 60°C, the temperature correction factor for 90°C rated wire is $CF_{temp} = 0.71$. Because the two strings require 4 current-carrying conductors (2 positive, 2 negative), the bundling adjustment factor from NEC Table 310.15(C)(1) is $CF_{bundle} = 0.80$. The net allowable derated ampacity is:
I_allowable = 40.0A * 0.71 * 0.80 = 22.72 Amperes.
Condition 1: $I_{allowable} = 22.72\text{A} \ge I_{max} = 14.38\text{A}$ (PASSED with a 58% safety margin).
Condition 2: $I_{base} = 40.0\text{A} \ge 1.5625 \times 11.5\text{A} = 17.97\text{A}$ (PASSED). 10 AWG wire satisfies all governing NEC requirements.
Related Solar PV & Raceway Sizing Calculators
Ensure conduit and solar string compliance with these complementary tools:
- Conduit Fill Percentage Calculator — Calculating raceway fill for EMT, PVC, and liquidtight conduit.
- Solar Combiner Box & String Fuse Sizer — Sizing string fuses per NEC 690.9 for parallel solar arrays.
- Bifacial Solar Ground Albedo Gain Calculator — Calculating rear-side current boost and overcurrent sizing.
- Solar PV Array Cable Sizer — Voltage drop and thermal ampacity calculations for string conductors.