Electronics

AC Waveform Distortion

Common AC waveform distortions — harmonics, clipping, crossover — and how to measure them.

Distortion types

TypeCauseSymptom
HarmonicNon-linear load (rectifier, SMPS, dimmer)Spikes at integer multiples of fundamental
IntermodulationNon-linearity mixing signalsSum / difference frequencies appear
Clipping (hard)Input exceeds output rangeFlat-topped waveform, rich odd harmonics
Clipping (soft)Gradual saturation (tubes)Rounded peaks, mild harmonics
CrossoverClass-B amp zero-crossing dead zoneKink at zero crossing
Slew-rate limitAmp can't track signalTriangular instead of sinusoidal at high f
Notch / gapThyristor firing, commutationMissing section at a phase angle
Sag / swellLine disturbanceBrief RMS drop or rise

Metrics

THD√(Σ V_h² for h ≥ 2) / V_1 — ratio of harmonics to fundamental
THD+NIncludes noise in the numerator
Crest factorV_peak / V_RMS — 1.414 for pure sine; higher = more peaky
Form factorV_RMS / V_avg — 1.11 for sine

Mains power quality limits

IEEE 519 THD-V (medium V)≤ 5% individual harmonic, ≤ 8% total
EN 50160 THD-V≤ 8% under normal conditions
Computer PSU harmonicsRegulated by IEC 61000-3-2
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