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How to Calculate Cable Size for a 3-Phase Motor Load

Undersize the cable on a 3-phase motor and you get heat, voltage drop, and a nuisance trip on the day you least expect it. Oversize it and you’ve spent money on copper you didn’t need.

Cable size calculation for a 3-phase motor load comes down to three numbers: the motor’s full load current, a safety margin on top of that, and a voltage drop check over the actual cable run. Get those three right and the rest is just reading a table.

In this guide you’ll size a cable step by step, in kW or HP, in mm² or AWG, with a worked example you can copy for your own motor. The guide explains the common engineering checks used in motor-circuit cable selection. The exact conductor ampacity, correction factors, protection rules and voltage-drop limits depend on the electrical code and installation conditions that govern the project.

The Cable Size Calculation Formula for a 3-Phase Motor

Quick answer: For a preliminary calculation, FLC (A) = motor output power (W) ÷ (√3 × line-to-line voltage × power factor × efficiency). For a continuous-duty single motor under NEC rules, conductor ampacity is generally based on 125% of the applicable motor full-load current. Final cable selection must then account for the applicable code table, installation method, correction factors, terminations and voltage drop.

That’s the whole calculation in one sentence. Everything below is just the detail behind each piece, because skipping a step is how cables end up undersized on real jobs.

Step 1: Find the Motor’s Full Load Current (FLC)

Quick answer: If current is not available from the motor documentation, calculate a preliminary FLC from power: FLC (A) = P (W) ÷ (1.732 × V × PF × η). Always use the applicable nameplate full-load current or code-specified value when one is available.

Check the motor’s nameplate first. Manufacturers print the rated current (FLA or FLC) right on the plate, and that number already accounts for the motor’s real-world efficiency and power factor. Use it.

No nameplate handy, or you’re sizing a cable before the motor arrives? Calculate it:

Formula:
I (A) = P ÷ (√3 × V × PF × η)

Where:
P = motor output power in watts (1 HP = 746 W, 1 kW = 1,000 W)
V = line-to-line voltage (400V is standard in Europe/Australia, 460–480V typical in North America)
PF = power factor (0.80–0.90 for most induction motors)
η = motor efficiency (0.85–0.95 for standard-efficiency motors)

If exact power factor and efficiency are unavailable, representative values can be used for a preliminary estimate only. Do not use assumed values for final cable selection when manufacturer nameplate or datasheet information is available.

Step 2: Apply the Safety Factor

Quick answer: For a continuous-duty single motor, NEC 430.22 uses 125% of the applicable motor full-load current when determining minimum branch-circuit conductor ampacity. IEC, CEC and AS/NZS requirements are not identical, so do not treat the NEC percentage as a universal international rule.

The 125% requirement is a code-based conductor-sizing rule; it should not be described simply as a generic allowance for every possible load swing or temperature condition. Ambient temperature, grouping, installation method and other correction factors are separate checks.

For a motor feeding more than one load, or a group of motors on a shared feeder, the code math changes (largest motor at 125%, the rest at 100%). That’s outside a single-motor calculation, so treat this guide as covering one dedicated motor circuit.

Step 3: Pick a Cable From the Ampacity Chart

Quick answer: Match your adjusted current (FLC × 1.25) against a standard copper or aluminum ampacity table and pick the next size up, never a size down.

Ampacity, the current a cable can carry continuously without overheating, depends on conductor size, insulation type, installation method, and ambient temperature. The chart below is a typical PVC-insulated copper reference for conduit or trunking at 30°C ambient (Method B1 style). Treat it as a planning tool, not a substitute for your local code table.

Table 1: Illustrative Copper Cable Reference — Verify Ampacity Against the Applicable Code
Cable Size (mm²)Closest Common AWGIllustrative Ampacity (A)Important Note
1.516 AWG15Example reference only; verify installation conditions.
2.514 AWG21Example reference only; verify installation conditions.
412 AWG28Example reference only; verify installation conditions.
610 AWG36Example reference only; verify installation conditions.
108 AWG50Example reference only; verify installation conditions.
166 AWG68Example reference only; verify installation conditions.
254 AWG89Example reference only; verify installation conditions.
352 AWG110Example reference only; verify installation conditions.
501/0 AWG134Example reference only; verify installation conditions.
702/0 AWG171Example reference only; verify installation conditions.

Aluminum generally has lower conductivity than copper, so an aluminum conductor often requires a larger cross-sectional area for the same design current. The actual selection depends on the applicable ampacity table, conductor construction, terminations, installation method, cost, weight and project requirements. Do not select copper or aluminum solely from motor kW.

Step 4: Check Voltage Drop Over the Cable Run

Quick answer: Voltage drop is a separate cable-selection check. A 3% design target is commonly used in many projects, but it is not a universal legal limit for every motor circuit. Apply the voltage-drop requirement or design target specified by the governing code, project specification and equipment manufacturer.

Ampacity tells you the cable won’t overheat. It says nothing about the motor getting enough voltage at the far end of a long run. That’s a separate check, and it’s the one people skip.

Formula (3-phase):
Vdrop = √3 × I × L × (R×cosφ + X×sinφ) ÷ 1000

Where L is the one-way cable length in meters, R and X are the cable’s resistance and reactance in Ω/km (from the manufacturer’s datasheet), and I is the calculated current.

Long runs can make voltage drop the controlling factor even when ampacity is adequate. Starting voltage drop can also be more severe because motor starting current may be several times full-load current. There is no universal cable-length threshold at which voltage drop suddenly becomes mandatory; calculate it whenever the run length, motor characteristics or project requirements make it relevant.

Step 5: Apply Derating for Heat and Grouping

Quick answer: Tabulated ampacity depends on the reference installation conditions. Ambient temperature, grouping, installation method and conductor/insulation temperature rating can require correction factors. Apply the factors required by the governing code and cable manufacturer’s data before making the final selection.

Two corrections matter most in practice:

  • Ambient temperature: above 30°C, ampacity drops. At 40°C ambient, expect roughly a 10–15% reduction on a PVC-insulated cable; at 45°C, closer to 20–25%.
  • Grouping: three or more current-carrying cables bundled in one conduit or tray reduce each other’s rating. Four cables together commonly lose 20% of individual ampacity; six or more can lose 35% or more.

Divide your required current by the applicable correction factors, then reselect from the ampacity chart if the number changed the answer.

5-step flowchart for 3-phase motor cable size calculation: FLC, safety factor, ampacity match, voltage drop check, derating
The five checks that turn a motor’s nameplate into the right cable size.

Worked Example: Sizing Cable for a 15 kW (20 HP) 3-Phase Motor

Quick answer: Using 15 kW output power, 400 V, PF 0.85 and 90% efficiency as illustrative assumptions gives about 28.3 A. Applying the NEC continuous-duty 125% conductor-sizing factor gives 35.4 A. The illustrative 10 mm² reference exceeds that value, but final selection still requires the applicable code ampacity, correction factors, terminations and voltage-drop check.

Here’s the full calculation, step by step, for a motor you’ll actually find on a plant floor.

Table 2: Worked Example Inputs and Results
ParameterValue
Motor power15 kW (20 HP)
Voltage400V, 3-phase
Power factor0.85
Efficiency0.90
Cable run (one-way)50 meters (164 ft)
Full load current28.3 A
Adjusted current (×1.25)35.4 A
Illustrative cable choice10 mm² copper (8 AWG), 50 A in the illustrative reference table
Voltage-drop example~0.78% using assumed R = 2.30 Ω/km and X = 0.08 Ω/km at the stated current

Walk the numbers: I = 15,000 ÷ (1.732 × 400 × 0.85 × 0.90) = 28.3 A. Applying the NEC continuous-duty conductor-sizing factor gives 28.3 × 1.25 = 35.4 A. The illustrative 6 mm² reference is 36 A, so it only narrowly exceeds the design current before any installation correction. That is not enough information for a final selection. The illustrative 10 mm² reference is 50 A, giving more margin. For the voltage-drop example, using R = 2.30 Ω/km and X = 0.08 Ω/km gives approximately 3.1 V over 50 m, or about 0.78% of 400 V. Actual voltage drop must use the cable manufacturer’s impedance data and the actual installation conditions.

Notice the cable didn’t get bigger because of the run length here. It got picked with margin from the start, and the voltage drop check simply confirmed it was fine. On a substantially longer run, voltage drop may become the controlling factor and require a larger conductor even when the smaller cable still passes the thermal ampacity check. The exact result must be calculated from the selected cable’s resistance/reactance and the applicable design criteria rather than assumed from distance alone.

How Motor Voltage, Power and Cable Length Affect Cable Size

Motor power alone does not determine conductor size. Voltage, power factor, efficiency and cable length all affect the calculation. For the same motor output, a lower supply voltage generally means higher current, while a longer cable run can make voltage drop the controlling consideration.

How the Main Inputs Affect Motor Cable Selection
InputWhat changesWhy it matters
Motor powerHigher output power generally increases currentHigher current can require a larger conductor.
System voltageHigher voltage generally reduces current for the same powerLower current can reduce conductor size, subject to code and equipment limits.
Power factorLower PF increases calculated currentIt affects preliminary FLC when nameplate/code current is unavailable.
EfficiencyLower efficiency increases input currentIt affects preliminary calculation from motor output power.
Cable lengthLonger runs increase voltage dropA larger conductor may be needed even when ampacity is adequate.
Installation conditionsHeat, grouping and installation method alter allowable ampacityCorrection factors can change the final cable selection.

Copper vs. Aluminum Motor Cable

Copper and aluminum can both be suitable conductor materials when the selected cable, terminations and installation comply with the governing requirements. Copper provides higher conductivity for a given cross-sectional area, while aluminum can offer lower weight and lower material cost.

Because aluminum usually requires a larger cross-section for the same current, compare the complete installed cost rather than the conductor price alone. For either material, use the manufacturer’s data and the applicable code table for ampacity, temperature ratings, termination compatibility, installation method and correction factors. Do not assume that a copper-to-aluminum size conversion is a fixed percentage.

Starting Current and Starting Voltage Drop

Motor cable selection is normally based on the applicable running/full-load conductor-sizing requirements rather than simply multiplying the cable size by locked-rotor current. However, starting current still matters because it can produce a temporary voltage drop that affects motor starting performance.

Direct-on-line starting can draw several times full-load current. Star-delta starters, soft starters and variable-frequency drives can change the starting-current profile. For a long feeder, high-inertia load or sensitive motor application, check starting voltage at the motor terminals as well as normal running voltage drop.

Common Mistakes That Undersize a Motor Cable

Sizing from horsepower alone, without checking voltage

A 20 HP motor at 230V draws roughly double the current of the same motor at 460V. Skip the voltage in the calculation and you’ll undersize the cable by a wide margin.

Ignoring starting current

Direct-on-line starting can draw several times full-load current for a short period. The running conductor calculation and the starting/protection calculation are related but not identical. Check the motor starting method, protective-device requirements and starting voltage drop separately where applicable.

Forgetting the voltage drop check on long runs

An ampacity-only calculation on a long feeder can miss excessive voltage drop. The motor may then experience reduced terminal voltage, reduced torque or starting problems even though the conductor is thermally adequate.

Using free-air ampacity for a cable in conduit

The same cable rated 50A in free air might only be good for 38A once it’s bundled with other conductors inside a conduit. Always match the table to the actual installation method.

Four common mistakes that undersize a 3-phase motor cable, illustrated as a 2x2 icon grid
These four shortcuts are the most common way a motor cable ends up undersized.

Frequently Asked Questions

What is cable size calculation for a 3-phase motor?

Cable size calculation for a 3-phase motor is the process of finding the smallest safe conductor cross-section for a motor circuit. It combines the motor’s full load current, a 125% safety margin, an ampacity table match, and a voltage drop check over the actual cable length.

How do I calculate full load current for a 3-phase motor?

Divide the motor’s power in watts by (√3 × voltage × power factor × efficiency). For a nameplate that already lists FLA, use that number directly instead of calculating it.

Why should I run a voltage drop check instead of just using ampacity?

Ampacity only confirms the cable won’t overheat. It says nothing about whether the motor gets enough voltage at the end of a long run, and undervoltage at the motor causes overheating and lost torque even when the cable itself is running cool.

When is a bigger safety factor than 125% the right choice?

Do not automatically substitute a larger percentage for the code requirement. Frequent starts, high ambient temperature, long runs and future expansion should be handled through the applicable code calculations, correction factors, voltage-drop checks and project design requirements.

How much does upsizing a motor cable typically cost?

The cost impact of upsizing depends on conductor material, cable construction, market prices and installation length. Compare the total installed cost rather than assuming a fixed percentage increase.

Cable size calculation vs. using an online motor cable calculator: which is more accurate?

An online calculator is faster and reduces arithmetic errors, but it’s only as accurate as the ampacity table and correction factors built into it. Understanding the manual formula lets you sanity-check any calculator’s output before you order cable.

Is a bigger cable ever a bad idea?

Yes. Oversizing wastes money on copper, and a cable that’s too large for its termination lugs can actually make a worse mechanical connection than a properly matched size. Match the cable to the calculation, with reasonable margin, rather than defaulting to “bigger is safer.”

Does cable length change which electrical standard applies?

No. Cable length does not by itself determine which electrical standard applies. The governing code depends on the project jurisdiction and installation. Length can, however, change the conductor size that passes the applicable voltage-drop requirement.

Get It Right the First Time

Cable size calculation for a 3-phase motor load isn’t complicated once you’ve run through it once: find the current, add the margin, match the ampacity table, check voltage drop, correct for heat and grouping.

Where people get burned is skipping step 4 on a long run, or trusting horsepower alone without checking the actual voltage. Run all five steps, every time, and the cable you pull will be the cable that’s still working fine in ten years.

Calculate it with Solvebility: For a faster preliminary result, use the cable size calculator. Then verify the result against the applicable code, cable data and installation conditions before ordering or installing conductors.
Safety and code note: This article is intended for education and preliminary sizing. Final motor-circuit conductor selection should be verified against the electrical code governing the installation, the motor nameplate/datasheet, the cable manufacturer’s data, installation conditions, protective-device requirements, termination ratings and applicable voltage-drop criteria. Where required, have the design reviewed by a qualified electrical professional.

References

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