Electronics

Harmonics & THD Reference

Harmonic distortion in power systems and audio — THD, triplens, and standard limits.

Definitions

FundamentalThe signal's main frequency (e.g., 60 Hz)
Harmonic (n-th)Integer multiple: 120, 180, 240, … Hz
Sub-harmonicBelow fundamental (e.g., 30 Hz) — rare
InterharmonicNon-integer multiple
THD√(Σ V_h² for h ≥ 2) / V_1 — as ratio or %
Triplens3rd, 9th, 15th … — especially bad in 3-phase (add in neutral)

Typical THD in audio

SystemTHD
Studio mic preamp< 0.001%
Good home amplifier< 0.01%
Consumer amp< 0.1%
Guitar tube amp (clean)1–5%
Guitar tube amp (overdrive)10–50%
Dynamic microphone< 1% (normal SPL)

Power quality limits

StandardApplicationTHD limit
IEEE 519 (< 1 kV)Utility bus — individual harmonic5%
IEEE 519 (< 1 kV)Utility bus — total8%
EN 50160Supply voltage (95% week)8%
IEC 61000-3-2 Class AProfessional equipmentPer-harmonic mA limits
IEC 61000-3-2 Class DPC, TV (< 600 W)Per-harmonic proportional to P

Mitigation

  • Passive filters: LC-tuned traps at specific harmonics.
  • Active filters: inject anti-harmonic currents.
  • Line reactors: series inductance reduces harmonics from rectifier loads.
  • 12-pulse or multi-pulse rectifiers: cancel low-order harmonics.
  • Active PFC: forces input current to follow voltage — reduces harmonics at the source.
Was this article helpful?