Inverter Controller with Synthetic Inertia and Adaptive Harmonic Damping Based on Fourier Linear Combiners

•A virtual synchronous generator (VSG) control combined with a voltage harmonic detection based on Fourier Liner Combiner (FLC) with adaptive gain is proposed and the harmonic compensation algorithm is selective in both sequence and harmonic order;•The proposed harmonic detection strategy has an internal and global control loops using local and system measurements, respectively;•The converter and grid/load system are simulated in real-time in Hardware-in-the-Loop (HIL) Typhoon HIL404 module. Texas Instruments' digital signal processor TMSF28379D was used to implement the VSG and harmonic detection controls. Real-time simulations show that the combination of the VSG and the FLC-based voltage harmonic detection with adaptive gain can simultaneously improve the system's frequency stability and power quality across the grid.