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NEMA MG1 / ANSI C84.17 min read

Worked Example: Voltage Unbalance and the Resulting Motor Derating Factor

A modest 1.5% voltage unbalance between three phases — well under the 5% NEMA ceiling, but still enough to call for a small motor derating.

Scenario

Phase A-B voltage415 V
Phase B-C voltage408 V
Phase C-A voltage420 V

Step-by-step calculation

Step 1: Compute the average of the three phase voltages

Vavg = (Vab + Vbc + Vca) / 3
(415 + 408 + 420) / 3
Vavg = 414.33 V

Step 2: Find the maximum deviation from average

maxDeviation = max(|Vab-Vavg|, |Vbc-Vavg|, |Vca-Vavg|)
Largest deviation is Vca: |420 - 414.33| = 5.67 V (calculator finds 6.33 V using each phase's own comparison)
maxDeviation = 6.33 V

Step 3: Compute percentage voltage unbalance

unbalance% = (maxDeviation / average) x 100
6.33 / 414.33 x 100
unbalance = 1.53%

Step 4: Interpolate the recommended motor derating factor

Using the published NEMA MG1 / ANSI C84.1 curve points (1% -> 0.98 p.u., 2% -> 0.95 p.u.), linearly interpolated for 1.53%.

Result summary

CheckRequirementActualStatus
Voltage unbalance≤ 5% (beyond which the curve doesn't apply)1.53%✓ PASS
Recommended motor deratingn/a (this is the result)0.964 p.u.✓ PASS
At 1.53% unbalance, this supply is well inside NEMA's 5% ceiling, but a motor on this feeder should still be derated to about 96.4% of its nameplate rating to avoid excess heating from the resulting negative-sequence current.

Key insight: Even a seemingly modest voltage unbalance disproportionately stresses a motor, because unbalance produces negative-sequence current that circulates in the rotor and generates extra heat roughly in proportion to the square of the unbalance percentage — which is why NEMA's derating curve drops fairly steeply (to 0.75 p.u. at just 5% unbalance) even though 5% doesn't sound like a large number.

Try it with your own numbers

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Frequently asked questions

Why is 5% treated as a hard ceiling rather than just extrapolating the curve further?

NEMA MG1's published guidance explicitly stops at 5% unbalance and recommends against operating motors above that level without direct manufacturer consultation — beyond that point, the heating effects become severe enough, and specific enough to each motor design, that a generic derating curve is no longer considered a reliable guide, and this calculator deliberately declines to extrapolate a number for it.

What typically causes voltage unbalance like this in the first place?

Common causes include unevenly distributed single-phase loads across the three phases of a supply, an open or high-resistance connection on one phase, or unbalanced impedance somewhere upstream in the distribution system — checking and rebalancing single-phase loads across phases is often the simplest and most effective fix, before assuming a motor needs permanent derating.

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