Results
Data Source and Methodology
Authoritative Source: NFPA 70 — National Electrical Code (NEC), 2023 Edition.
- Chapter 9, Table 8: Conductor Properties (resistivity and circular mil areas)
- Chapter 9, Table 9: Alternating-Current Impedance and Reactance (reference for advanced methods)
- Informational Notes to 210.19(A), 215.2(A), and 310 Articles regarding recommended voltage drop (3% branch; 5% feeder+branch)
Access NEC (NFPA 70) - Official site
Tutti i calcoli si basano rigorosamente sulle formule e sui dati forniti da questa fonte.
The Formula Explained
DC and Single-Phase AC:
$$ V_{drop} = \frac{2 \cdot K \cdot I \cdot L}{\mathrm{CMA}} $$ Three-Phase AC:
$$ V_{drop} = \frac{\sqrt{3} \cdot K \cdot I \cdot L}{\mathrm{CMA}} $$ Percent drop and load voltage:
$$ \%V_{drop} = \frac{V_{drop}}{V_s} \times 100 \qquad V_{load} = V_s - V_{drop} $$ Minimum required circular mil area for a target drop:
$$ \mathrm{CMA}_{min} = \begin{cases} \dfrac{2 \cdot K \cdot I \cdot L}{V_s \cdot \%/100}, & \text{DC or 1-Phase} \\ \dfrac{\sqrt{3} \cdot K \cdot I \cdot L}{V_s \cdot \%/100}, & \text{3-Phase} \end{cases} $$ where K = 12.9 (copper) or 21.2 (aluminum) in ohm·circular-mil/ft, I is current (A), L is one-way length (ft), CMA is circular mil area.
Glossary of Variables
- Vs (Source Voltage): The nominal supply voltage at the panel or source (V).
- I (Load Current): The circuit load current in amperes (A).
- L (Length): One-way conductor length from source to load (ft). The loop factor is applied by the formula.
- K (Material Constant): NEC K-constant at 75°C: Copper 12.9; Aluminum 21.2 (ohm·circular-mil/ft).
- CMA: Conductor area in circular mils (from AWG/kcmil size).
- Vdrop: Calculated voltage drop (V).
- %Vdrop: Voltage drop as a percentage of source voltage (%).
- Vload: Voltage available at the load after the drop (V).
- Loop Resistance: Effective round-trip resistance used by the K method (Ω).
- Power Loss: I²R loss along the effective loop (W).
How It Works: A Step-by-Step Example
Scenario: 1-Phase AC, Vs = 120 V, I = 20 A, Copper, one-way length L = 150 ft, target = 3%, size = 8 AWG (CMA = 16510).
- Factor for 1-Phase = 2. Copper K = 12.9.
- Voltage drop: $$ V_{drop} = \frac{2 \cdot 12.9 \cdot 20 \cdot 150}{16510} \approx 4.69 \text{ V} $$
- Percent drop: $$ \%V_{drop} = \frac{4.69}{120}\times 100 \approx 3.91\% $$
- Load voltage: $$ V_{load} = 120 - 4.69 \approx 115.31 \text{ V} $$
- Since 3.91% exceeds the 3% target, auto-size would recommend the next larger conductor until: $$ \mathrm{CMA} \ge \frac{2 \cdot 12.9 \cdot 20 \cdot 150}{120 \cdot 0.03} \approx 22{,}973 $$ The smallest common size with CMA ≥ 22,973 is 6 AWG (CMA = 26240).
Frequently Asked Questions (FAQ)
Is voltage drop a code violation?
No. The NEC provides informational notes (not enforceable requirements) recommending 3% maximum drop on branch circuits and 5% for feeders plus branches combined. Specifications may mandate these limits.
Do I enter one-way or round-trip length?
Enter one-way length. The formulas include the round-trip factor internally.
Why doesn’t the calculator require power factor?
The NEC K-constant method is based on conductor resistivity and length and does not directly use power factor. For AC impedance methods including reactance, PF influences the result.
Can I mix copper and aluminum in the same run?
Not typically in a single continuous conductor. If feeders and branches differ by material, calculate each segment separately and consider total voltage drop.
Does auto-sizing check ampacity or derating?
No. This tool focuses on voltage drop. Verify ampacity per NEC Article 310, temperature ratings, ambient conditions, bundling, and terminations separately.
How precise is the result vs. field measurements?
Results are design approximations using NEC values at 75°C. Actual conditions (temperature, conduit type, frequency effects) can vary. For critical systems, perform detailed analysis.
What if my load voltage tolerance is narrow?
Use a lower target percent drop, shorten runs, increase conductor size, or raise distribution voltage with step-down transformers to stay within equipment tolerances.