About the Harmonics & THD
Harmonics analysis assesses the current and voltage distortion introduced into the electrical system by solar inverters and their impact on grid power quality. All grid-tied solar inverters inject some harmonic content — it must stay within IEEE 519 / IS 16612 limits to avoid interference with other equipment and DISCOM penalties.
Formula
Total Harmonic Distortion (THD) = √(Σ Iₙ²) ÷ I₁ × 100% for n = 2 to N
- Iₙ
- RMS current at harmonic order n (A)
- I₁
- RMS current at fundamental frequency (50 Hz)
How to calculate it
- 1Measure THD at the point of common coupling (PCC) using a power quality analyser.
- 2Compare against IS 16612 / IEEE 519 limits: current THD < 5% for systems up to 1 MW at 33 kV and below.
- 3If THD exceeds limits: check inverter output filter design, consider adding an LCL filter or active harmonic filter.
- 4Multiple inverters in parallel can partially cancel odd-order harmonics if staggered by 30° (phase-shifted transformers) — a useful mitigation for large plants.
Worked example
A 500 kWp plant with 10 × 50 kW central inverters at a 33 kV grid connection. Each inverter contributes 3.5% THD individually. At the 33 kV PCC, the combined THD measures 2.8% (partial cancellation between units) — within the 5% IS 16612 limit. No additional filtering required.
What you can calculate
- THD %
- IEEE 519
- Filter sizing
- Grid impedance
Standards & references
Frequently asked questions
Do solar inverters cause harmonic problems?
Modern grid-tied inverters use PWM switching at high frequencies (≥ 10 kHz) and include output LCL filters that limit current THD to 2–4% under full load. This is well within the 5% limit for most grid connection voltages. At very light loads (< 20% of rated), THD can rise to 8–15% — this is why some DISCOMs require harmonic measurements under representative operating conditions.
What equipment is most affected by solar harmonics?
High-frequency harmonics from solar inverters can cause: (1) transformer core heating (reducing efficiency and life), (2) capacitor overheating (in power-factor correction banks near the inverter), (3) nuisance tripping of neutral earthing resistors, and (4) interference with protection relays sensitive to 3rd and 5th harmonics. These issues are most likely when solar capacity is large relative to the connected load — a high solar penetration ratio.
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