š Case Study
UK National Grid Hornsea Offshore Wind Integration
Harmonic resonance amplification at 11th/13th harmonics causing capacitor bank failures
šļø Project Overview
1.2 GW offshore wind farm connected via ±320 kV HVDC link to onshore grid with aging 400 kV network
šÆ Challenge
Harmonic resonance amplification at 11th/13th harmonics causing capacitor bank failures
š§ Design Approach
Passive harmonic filters + active harmonic cancellation in VSC-HVDC converters + impedance shaping via transformer tap optimization
š Key Calculations
Resonant Frequency Shift
f_r = 1/(2Ļā(L_filter Ć C_bank))
Result: 287 Hz ā 262 Hz
Moved away from 11th harmonic (275 Hz)
THD Reduction Estimate
THD_new = THD_old Ć (Z_system / Z_total)
Result: 4.2% ā 1.7%
Below EN 50160 limit of 3%
š Results
Zero capacitor failures in 3 years; THD maintained <2.1% across all monitoring pointsš” Lessons Learned
- ā¢Transformer leakage reactance significantly impacts filter tuning
- ā¢HVDC converter harmonic injection spectra must be validated under partial loading
ā Key Takeaways
- 1Transformer leakage reactance significantly impacts filter tuning
- 2HVDC converter harmonic injection spectra must be validated under partial loading