šŸ“‹ Case Study

UK National Grid Hornsea Offshore Wind Integration

Harmonic resonance amplification at 11th/13th harmonics causing capacitor bank failures

šŸ—ļø Project Overview

1.2 GW offshore wind farm connected via ±320 kV HVDC link to onshore grid with aging 400 kV network

šŸŽÆ Challenge

Harmonic resonance amplification at 11th/13th harmonics causing capacitor bank failures

šŸ”§ Design Approach

Passive harmonic filters + active harmonic cancellation in VSC-HVDC converters + impedance shaping via transformer tap optimization

šŸ“ Key Calculations

Resonant Frequency Shift

f_r = 1/(2Ļ€āˆš(L_filter Ɨ C_bank))
Result: 287 Hz → 262 Hz
Moved away from 11th harmonic (275 Hz)

THD Reduction Estimate

THD_new = THD_old Ɨ (Z_system / Z_total)
Result: 4.2% → 1.7%
Below EN 50160 limit of 3%

šŸ“Š Results

Zero capacitor failures in 3 years; THD maintained <2.1% across all monitoring points

šŸ’” Lessons Learned

  • •Transformer leakage reactance significantly impacts filter tuning
  • •HVDC converter harmonic injection spectra must be validated under partial loading

āœ… Key Takeaways

  • 1Transformer leakage reactance significantly impacts filter tuning
  • 2HVDC converter harmonic injection spectra must be validated under partial loading