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PRELIMINARY ENGINEERING TOOL

Third-harmonic neutral-current worksheet

Illustrate equal, coherent third-harmonic addition using measured harmonic components—not total phase current.

Inputs

Calculation steps

I_N,3 = 3 × 20 A = 60.00 A; I_phase,RMS = √(100² + 20²) = 101.98 A

Formula ID: NEUTRAL_EQUAL_THIRD_HARMONIC_V1

fundamentalCurrentA
100
thirdHarmonicCurrentA
20
thirdHarmonicNeutralA
60
phaseRmsCurrentA
101.98039
thirdHarmonicPctOfFundamental
20

Intermediate values are retained without display rounding in the calculation.

Assumptions and references

All three phases must have the same third-harmonic RMS magnitude and phase coherence. The two entered currents are spectral components from the same operating condition. The result is neither total neutral current nor a conductor-sizing value.

How to read the measured harmonic value →

UNDERSTAND THE TOOL

What this calculator does

Illustrate addition of equal third-harmonic components in a three-phase four-wire system. It does not infer harmonics from total phase current.

How to use it

  1. Obtain a power-quality measurement of fundamental and third-harmonic RMS current.
  2. Use values from the same operating condition and confirm equal phase components are a supportable assumption.
  3. Review the third-harmonic neutral component and phase RMS result.
  4. Measure the actual neutral and review the full harmonic spectrum separately.

Fields and meanings

Fundamental phase current
RMS current of the 50/60 Hz fundamental on each phase for this equal-phase example.
Third-harmonic phase current
RMS current at the third harmonic on each phase—not total RMS or THD percentage.
Review required. Review required. Unequal components, other harmonics and neutral-conductor sizing are outside this worksheet.
Read the full explanation →