A novel current control scheme using Lyapunov function to control the active and reactive power flow in a single phase hybrid PV inverter system connected to the grid

Large-Signal Stability Modeling for the Grid-Connected VSC Based on the Lyapunov Method

“…Linear-Based Method [5] Nonlinear-Based Methods [15] Characteristic Techniques -Nyquist stability criterion [16] -Bode stability criterion [17] -State-space stability analysis [18,19] -Root-locus stability analysis [20] -Phase plane stability analysis [21] -Lyapunov stability analysis [22][23][24][25] -Describing function method [26] -Popov stability criterion [27] Global equilibrium point Only valid for one equilibrium point Valid for all equilibrium points…”

Lyapunov Function-Based Current Controller to Control Active and Reactive Power Flow From a Renewable Energy Source to a Generalized Three-Phase Microgrid System

“…A Lyapunov function-based controller is proposed to facilitate the current control of such inverters directly in the a-b-c frame. Previously, a Lyapunov function-based current controller for the single phase gridconnected renewable energy source-based microgrid inverter is proposed in [17] and [39]. The number of controllers needed for such unbalanced control is shown to be only two unlike multiple controllers as mentioned in [37].…”