Modified Andronov-Hopf Oscillator Voltage Control for Single-Phase Grid Forming Inverters

Grid Forming (GFM) Inverters have gained attraction recently in grid applications due mainly to their unparallel capability of supporting power system operation. The Virtual Oscillator Control (VOC) method is one of the methods for the operation and power regulation of GFM inverters. This type of controller is realized in the time domain based on the nonlinear dynamics of the oscillator and designed based on a specific set point that needs modifications to regulate the output voltage of the inverter and tracks active and reactive power reference signals. Voltage regulation of VOC grid-forming inverter based on an Andronov-Hopf oscillator with adaptive oscillation magnitude and single-phase system is studied in this paper. The proposed adaptive dynamic utilizes the direct relation between the reactive power error and nominal magnitude of oscillation which provides better tracking performance for inverter reactive power. Then a linearized model of the closed-loop system is analyzed for the stability region of the controller parameter. Ultimately, the proposed method’s operation is evaluated and validated by numerical simulations for different conditions.