AC Waveform Distortion

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

Reference Reference Updated Apr 19, 2026
Reference

Distortion types

Type Cause Symptom
Harmonic Non-linear load (rectifier, SMPS, dimmer) Spikes at integer multiples of fundamental
Intermodulation Non-linearity mixing signals Sum / difference frequencies appear
Clipping (hard) Input exceeds output range Flat-topped waveform, rich odd harmonics
Clipping (soft) Gradual saturation (tubes) Rounded peaks, mild harmonics
Crossover Class-B amp zero-crossing dead zone Kink at zero crossing
Slew-rate limit Amp can't track signal Triangular instead of sinusoidal at high f
Notch / gap Thyristor firing, commutation Missing section at a phase angle
Sag / swell Line disturbance Brief RMS drop or rise

Metrics

THD
√(Σ V_h² for h ≥ 2) / V_1 — ratio of harmonics to fundamental
THD+N
Includes noise in the numerator
Crest factor
V_peak / V_RMS — 1.414 for pure sine; higher = more peaky
Form factor
V_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 harmonics
Regulated by IEC 61000-3-2

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