Power Quality Tool

Harmonic
Calculator

Calculate Total Harmonic Distortion (THD) and K-factor from individual harmonic currents. Determine the correct K-rated transformer for your non-linear loads.

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THD, K-Factor & Transformer Selection

01
Identify Your Non-Linear Loads

VFDs, UPS systems, switch-mode power supplies, and electronic ballasts all draw non-sinusoidal current. These loads inject harmonic currents back onto the electrical system, distorting the voltage waveform.

02
Enter or Measure Harmonic Spectrum

Use a power quality analyser to measure individual harmonic currents as a percentage of fundamental. Alternatively, use the presets below for typical load types — or ask your drive manufacturer for a harmonic spectrum datasheet.

03
Calculate THD and K-Factor

THD summarises total distortion as a percentage. K-factor weighs each harmonic by its order squared, reflecting the extra heat it causes in transformer windings — higher-order harmonics are disproportionately damaging.

04
Select the Correct K-Rated Transformer

Match or exceed the calculated K-factor with a standard K-rated transformer (K-1, K-4, K-7, K-13, K-20). K-rated transformers include oversized neutral conductors, electrostatic shielding, and special core designs to handle harmonic loads without overheating.

Formulas
Total Harmonic Distortion
THD = √(I₂² + I₃² + I₅² + ... + Iₙ²) / I₁ × 100%
K-Factor
K = (I₁² × 1 + I₂² × 4 + I₃² × 9 + ... + Iₙ² × n²) / (I₁² + I₂² + ... + Iₙ²)
K-Rating Selection Guide
K-1Linear loads — resistive heating, motors with no VFD
K-4Discharge lighting, UPS (<25% non-linear load)
K-7Telecom equipment, welders, UPS (<50% non-linear)
K-13VFDs, computer room PDUs (6-pulse)
K-20Mainframes, SCR drives, data centers (heavy non-linear)
FAQ

Total Harmonic Distortion (THD) is the ratio of all harmonic currents to the fundamental (60 Hz) current, expressed as a percentage. High THD causes transformer overheating, nuisance tripping of breakers, neutral conductor overloading (especially with triplen harmonics), and reduced equipment life. IEEE 519-2022 recommends THD below 5% at the point of common coupling.

K-factor quantifies how much harmonic content a transformer must handle. K-1 transformers are designed for purely linear loads. K-4 through K-20 are specifically designed with oversized neutral conductors, electrostatic shielding, and special core materials. Specifying the correct K-rating prevents premature transformer failure from eddy-current losses and hot spots caused by harmonics.

6-pulse VFDs (most common) produce predominantly 5th and 7th harmonics, with smaller amounts of 11th, 13th, 17th, and 19th. The 5th harmonic is typically 20–40% of fundamental. 12-pulse VFDs cancel the 5th and 7th through phase-shifting, leaving 11th, 13th, 23rd, and 25th as dominant harmonics — resulting in much lower THD.

For a single 6-pulse VFD serving less than 30% of a transformer's load, K-4 or K-7 is typically adequate. When VFD loads dominate (>50% of transformer capacity), specify K-13. For heavy VFD or UPS installations exceeding 75% of capacity, use K-20. In practice, K-13 is the most commonly specified rating for industrial facilities with multiple drives.

Harmonic Calculator
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Need a K-Rated Transformer?

We supply K-4 through K-20 transformers in stock and custom configurations. Our engineers can review your harmonic profile and confirm the correct rating.