Harmonic Distortion Calculator
Calculate Total Harmonic Distortion (THD) and check compliance with IEEE 519 harmonic limits.
About this calculator
Nonlinear loads like variable-frequency drives and switch-mode power supplies don't draw current as a clean sine wave — they inject harmonics, currents at integer multiples of the fundamental frequency, that distort the waveform and stress transformers, cables, and neighboring equipment. This calculator takes the RMS current at the fundamental (60 Hz) plus the 3rd, 5th, 7th, 9th, and 11th harmonics and computes Total Harmonic Distortion as THD = √(sum of each harmonic squared) ÷ fundamental × 100 — a root-sum-square that reflects how much total distortion energy exists relative to the clean fundamental signal. It separately reports the largest single harmonic as a percentage of the fundamental, since one dominant harmonic can be a bigger practical problem than a spread of small ones even at the same THD.
Both figures are checked against simplified IEEE 519 limits: 5% THD at the point of common coupling, and 4% for any individual odd harmonic below the 11th, for general systems with a moderate short-circuit ratio. Real IEEE 519-2022 limits actually scale with the ratio of available fault current to load current (ISC/IL) — stiffer sources tolerate more distortion — so treat the fixed 5%/4% thresholds here as a common-case default, not a substitute for a site-specific limit lookup. In practice, six-pulse VFDs and rectifiers are the usual dominant sources, with the 5th harmonic typically the largest contributor (often 18-25% of fundamental) followed by the 7th; 12-pulse drives, line reactors, or active filters are the standard mitigations when the compliance check fails.
Inputs
IEEE 519-2022: VFD 6-pulse: 5th harmonic ~20–25%, 7th ~11–15%, 11th ~4–6% of fundamental current
Results
Total Harmonic Distortion (THD)
6.42%
IEEE 519 Compliant?
0 (1=yes, 0=no)
Figures current as of 2022. Source: IEEE Std 519-2022, IEEE Standard for Harmonic Control in Electric Power Systems (approved May 2022, published August 2022; supersedes IEEE 519-2014)
How to Use This Calculator
- Enter the Fundamental (60 Hz) current in amperes from a power quality meter or analyzer.
- Enter the measured RMS current for each harmonic order: 3rd (180 Hz), 5th (300 Hz), 7th (420 Hz), 9th (540 Hz), and 11th (660 Hz).
- The 5th harmonic is typically the largest for six-pulse VFDs and rectifiers; the 3rd harmonic dominates in single-phase loads.
- Read the Total Harmonic Distortion (THD) percentage — IEEE 519 limits THD to 5% at the point of common coupling for most systems.
- Check Max Individual Distortion — IEEE 519 limits individual odd harmonics below the 11th to 4%.
- If the IEEE 519 Compliant? output is 0, consider passive harmonic filters, active front-end drives, or 12-pulse converter configurations.
How the result changes with Fundamental (60 Hz) Current
| Fundamental (60 Hz) Current | Total Harmonic Distortion (THD) | IEEE 519 Compliant? |
|---|---|---|
| 50 | 12.85% | 0 (1=yes, 0=no) |
| 75 | 8.56% | 0 (1=yes, 0=no) |
| 150 | 4.28% | 1 (1=yes, 0=no) |
| 250 | 2.57% | 1 (1=yes, 0=no) |
What each input means
- Fundamental (60 Hz) Current
- RMS current at the fundamental frequency (60 Hz or 50 Hz).
- 3rd Harmonic Current
- RMS current at the 3rd harmonic (180 Hz).
- 5th Harmonic Current
- RMS current at the 5th harmonic (300 Hz). Per IEEE 519-2022, 5th and 7th harmonics dominate six-pulse VFDs (typically 5th = 18–25%, 7th = 11–15% of fundamental). Mitigation: 12-pulse drives, line reactors, active filters.
- 7th Harmonic Current
- RMS current at the 7th harmonic (420 Hz).
- 9th Harmonic Current
- RMS current at the 9th harmonic (540 Hz).
- 11th Harmonic Current
- RMS current at the 11th harmonic (660 Hz).
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersFundamental (60 Hz) Current = 100, 3rd Harmonic Current = 3, 5th Harmonic Current = 5, 7th Harmonic Current = 2 = 6 input(s) provided
- Calculate Total Harmonic DistortionTotal Harmonic Distortion6.42 = 6.42
- Calculate IEEE 519 Compliant?IEEE 519 Compliant?0 = 0
- Calculate Max Individual DistortionMax Individual Distortion5 = 5
- Calculate IEEE 519 THD LimitIEEE 519 THD Limit5 = 5
Figures and sources
- IEEE 519-2022 voltage/current distortion limits at the point of common coupling (5% THD, 4% individual harmonic below the 11th, for general systems with ISC/IL > 20) (2022) — IEEE Std 519-2022, IEEE Standard for Harmonic Control in Electric Power Systems (approved May 2022, published August 2022; supersedes IEEE 519-2014)
Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
What's the difference between THD and the Max Individual Distortion output?
THD is a root-sum-square across all five entered harmonics — √(3rd² + 5th² + 7th² + 9th² + 11th²) ÷ fundamental × 100 — so it captures the combined effect of every harmonic together. Max Individual Distortion instead just takes whichever single harmonic current you entered is largest and expresses that one alone as a percentage of the fundamental, which matters because IEEE 519 caps individual odd harmonics (4% below the 11th) separately from the overall THD cap (5%), and a load can fail one check while passing the other.
Why does the calculator only ask for odd harmonics (3rd, 5th, 7th, 9th, 11th)?
Nonlinear loads with symmetric current waveforms — which describes most VFDs, rectifiers, and switch-mode supplies — produce almost entirely odd-order harmonics; even-order harmonics are typically negligible unless the waveform is asymmetric (like some single-ended converters). That's why this calculator's input set matches the harmonics that actually dominate in the equipment it's built around.
Is the 5% THD / 4% individual-harmonic limit always the right threshold to check against?
No — those are simplified defaults for general systems with a moderate short-circuit ratio. The real IEEE 519-2022 limits scale with the ratio of available fault current to load current (ISC/IL): systems fed from a 'stiffer' source with more available fault current are allowed more distortion, while weaker sources are held to tighter limits. Treat this calculator's fixed 5%/4% pair as a common-case check, and look up the actual ISC/IL-based table for a site-specific compliance determination.
If my calculation fails the IEEE 519 Compliant? check, what's usually driving it?
For a six-pulse VFD or rectifier — the most common source of harmonic distortion — the 5th harmonic is typically the largest single contributor, often 18-25% of the fundamental, with the 7th close behind. Since Max Individual Distortion just reports whichever harmonic you entered is largest, a failing result is usually driven by the 5th harmonic current; standard mitigations are 12-pulse converter configurations, line reactors, or active harmonic filters.
Is IEEE 519 a legally enforceable code, and where do the 5%/4% limits actually come from?
IEEE 519-2022 (IEEE Std 519-2022, formally titled the IEEE Standard for Harmonic Control in Electric Power Systems) is a voluntary industry standard, not a building code — but utilities and facility engineers widely use it as the practical benchmark for acceptable harmonic distortion at the point of common coupling. This calculator's 5% THD and 4% individual-harmonic thresholds are the limits the standard assigns to general systems with a short-circuit ratio (ISC/IL) above 20; systems fed from weaker sources are held to tighter limits under the standard's full ISC/IL-based table.
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