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Harmonics Analysis Calculator

Analyse harmonic distortion, verify IEEE 519/IEC 61000 compliance, and size harmonic filters.

IEEEIECAS/NZSBS
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How Harmonic Analysis Works

The harmonics calculator evaluates harmonic distortion levels in an electrical system and verifies compliance with the voltage and current distortion limits defined by IEEE 519 and IEC 61000.

The calculator models harmonic-producing loads (VFDs, rectifiers, UPS systems, LED drivers) using their characteristic harmonic spectra. Total harmonic distortion is computed as THD = sqrt(SUM(I_h^2)) / I_1 x 100%, where I_h is the harmonic current magnitude at order h and I_1 is the fundamental current. IEEE 519:2022 Table 2 sets current distortion limits based on the ratio Isc/IL at the point of common coupling (PCC).

IEC 61000-3-2 defines harmonic current limits for equipment. AS/NZS 61000.3.6 provides harmonic management levels for distribution networks. Results include the harmonic spectrum, THD percentage, individual harmonic magnitudes, compliance assessment against standard limits, filter sizing recommendations, and waveform visualization.

IEEE 519-2022 Voltage Distortion Limits

Bus VoltageIndividual Harmonic (%)THD (%)Reference
≤ 1 kV5.08.0Table 1
1–69 kV3.05.0Table 1
69–161 kV1.52.5Table 1
> 161 kV1.01.5Table 1

Source: IEEE 519-2022 Table 1

Frequently Asked Questions

What are the harmonic current limits per IEEE 519?
IEEE 519:2022 Table 2 specifies harmonic current distortion limits at the point of common coupling (PCC) based on the ratio of short circuit current to maximum demand load current (Isc/IL). For Isc/IL between 20 and 50 (typical commercial building), individual odd harmonic limits are: 7% for h<11, 3.5% for 11<=h<17, 2.5% for 17<=h<23, 1.0% for 23<=h<35, and 0.5% for h>=35, with total demand distortion (TDD) limited to 8%. For weaker systems (Isc/IL < 20), limits are halved. These limits apply to the customer's contribution at the PCC, not at individual equipment.
How do I calculate total harmonic distortion (THD)?
Total harmonic distortion is calculated as THD = sqrt(sum of squares of all harmonic components) / fundamental component x 100%. For voltage: THDv = sqrt(V2^2 + V3^2 + V5^2 + ...) / V1 x 100%. For current: THDi = sqrt(I2^2 + I3^2 + I5^2 + ...) / I1 x 100%. IEEE 519:2022 Clause 5 recommends that voltage THD at the PCC not exceed 5% for systems below 1kV and 2.5% for 1-69kV. IEC 61000-3-2 sets limits on individual harmonic currents for equipment rather than system-level THD, with different limits for Class A (balanced three-phase and all other), B, C (lighting), and D (low-power equipment) categories.
Why does triplen harmonics cause neutral overloading?
Triplen harmonics (3rd, 9th, 15th, etc.) are zero-sequence harmonics that add arithmetically in the neutral conductor of a three-phase four-wire system, rather than cancelling as balanced fundamental currents do. In a system with balanced single-phase non-linear loads (computers, LED drivers), the 3rd harmonic currents from each phase sum to produce a neutral current of 3 x I3 (three times the third harmonic phase current). This can result in neutral current exceeding the phase current, causing overheating. IEC 60364-5-52 Clause 524 requires the neutral conductor to be oversized, and BS 7671 Regulation 523.6 provides specific sizing guidance for harmonics-rich circuits.
What is transformer K-factor and how is it calculated?
The K-factor quantifies the additional heating effect of harmonic currents on a transformer, per IEEE C57.110. It is calculated as K = sum(Ih^2 x h^2) / sum(Ih^2), where Ih is the RMS current at harmonic order h, expressed as a per-unit of the fundamental. A purely sinusoidal load has K=1, while a typical office building with PCs can have K=4 to K=13. Transformers serving non-linear loads should be rated with an appropriate K-factor: K-4 for light commercial, K-13 for heavy IT loads, K-20 for industrial VFDs. A standard transformer (K-1) serving a K-13 load must be derated to approximately 60% of its nameplate rating to avoid overheating.
How do I size a passive harmonic filter?
A passive harmonic filter consists of a series LC circuit tuned to a specific harmonic frequency, typically installed as a shunt at the load bus. The tuning frequency is set slightly below the target harmonic (e.g., 4.7th for a 5th harmonic filter) to account for component tolerances and avoid exact resonance. The capacitor kvar is sized based on the reactive power requirement, and the reactor is calculated as L = 1 / (4 x pi^2 x f_tune^2 x C). Per IEEE 519 and IEEE 1531, the filter must be designed for the harmonic current it will absorb from the system, not just the local load. IEC 61642 provides guidance on passive filter design and testing, including component ratings for harmonic duty.
What is the impact of harmonics on power factor measurement?
Harmonics create a distinction between displacement power factor (DPF, based on fundamental frequency only) and true power factor (TPF, including all harmonics). True power factor = real power / apparent power = P / (Vrms x Irms), where Vrms and Irms include all harmonic components. A VFD with DPF of 0.95 might have TPF of 0.75 due to harmonic current content. Standard power factor correction capacitors only improve DPF and can amplify harmonics through resonance. AS/NZS 61000.3.6 and IEC 61000-3-12 address harmonic emissions limits for equipment, and power factor penalties from utilities increasingly measure TPF rather than DPF, making harmonic mitigation essential for cost savings.

Standards Reference

  • IEEE 519:2022 — Harmonic control
  • IEC 61000-3-2 — Harmonic current limits
  • AS/NZS 61000.3.6 — Harmonic management