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IEEE 519-201410 min read

Worked Example: Checking Measured Harmonic Distortion Against IEEE 519-2014 Limits

A 400 V bus with a real-world harmonic spectrum, checked against both the voltage distortion limits (Table 1) and the load-referenced current distortion limits (Table 2) — passing both, with the fifth harmonic as the closest call.

Scenario

Bus voltage0.4 kV
Isc/IL ratio band20–50 (moderately stiff supply relative to this load)
Measured current200 A
Maximum demand load current (IL)250 A
Individual voltage harmonics2nd: 0.3%, 3rd: 1.5%, 5th: 2.0%, 7th: 1.0%, 9th: 0.5%, 11th: 0.4%, 13th: 0.3%
Individual current harmonics (% of fundamental)2nd: 0.5%, 3rd: 3.0%, 5th: 5.0%, 7th: 2.5%, 9th: 1.0%, 11th: 1.5%, 13th: 0.8%

Step-by-step calculation

Step 1: Compute total voltage harmonic distortion (VTHD)

VTHD = √(Σ(individual harmonic %)²)
VTHD = 2.8%

Step 2: Check VTHD and the worst individual voltage harmonic against Table 1 (≤1 kV bus)

CheckLimit (≤1 kV)ActualResult
VTHD8.0%2.8%PASS
Worst individual harmonic (5th)5.0%2.0%PASS

Step 3: Compute total current harmonic distortion (ITHD) referenced to fundamental

ITHD = √(Σ(individual harmonic % of I1)²)
ITHD = 6.66% (referenced to the fundamental current, not yet TDD)

Step 4: Convert to Total Demand Distortion (TDD), referenced to maximum demand current IL

IEEE 519 current limits are deliberately referenced to IL (maximum demand load current), not to the instantaneous measured current — this prevents a lightly loaded system from appearing artificially compliant.

TDD = ITHD x (measured current / IL)
6.66% x (200 / 250)
ITDD = 5.33%

Step 5: Check ITDD and the worst individual current harmonic against Table 2 (Isc/IL band 20–50)

CheckLimit (20–50 band)ActualResult
ITDD8.0%5.33%PASS
Worst individual harmonic, TDD basis (5th)7.0%4.0%PASS

Result summary

CheckRequirementActualStatus
Voltage THD≤ 8.0%2.8%✓ PASS
Worst individual voltage harmonic≤ 5.0%2.0% (5th)✓ PASS
Current TDD≤ 8.0%5.33%✓ PASS
Worst individual current harmonic (TDD basis)≤ 7.0%4.0% (5th)✓ PASS
This installation passes every IEEE 519-2014 check with real margin — the closest call is the 5th harmonic current at 4.0% against a 7.0% TDD-basis limit, still comfortably inside the limit but the one to watch if non-linear load grows.

Key insight: Current distortion limits in IEEE 519 are referenced to maximum demand current (IL), not to whatever current happens to be flowing at the moment of measurement — this is exactly why the calculator asks for both a measured current and a separate maximum demand current, and why running below full load doesn't automatically make a harmonic-heavy installation look artificially compliant.

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Frequently asked questions

Why does the Isc/IL ratio band change the current distortion limit?

A higher Isc/IL ratio means the point of common coupling has a 'stiffer' supply relative to the size of this particular load — the load's harmonic currents are a smaller disturbance to a stiff system than to a weak one, so IEEE 519 permits looser current distortion limits at higher Isc/IL bands (a small non-linear load on a strong utility feeder gets more headroom than the same load on a weak, high-impedance feeder).

Why are even harmonics limited to just 25% of the odd-harmonic limit?

Even harmonics are far less common in typical three-phase non-linear loads (rectifiers, VFDs) because symmetric waveform distortion naturally cancels even-order components — a significant even-harmonic content usually points to an unusual or faulted condition (like a half-wave rectification fault or a DC offset), which is why the standard treats them more strictly rather than assuming they behave like ordinary odd harmonics.

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