Direct LYAPUNOV control of multi-cells inverter applied to an active power filter with unbalanced canditions

Abstract

this paper present the direct LYAPUNOV control of four-level three phase multi-cells voltage source inverter with flying capacitors, applied to shunt active power filter. The repartitions of the high input voltage on the all switches of the multi-cells inverter give him the propriety to be used in high voltage application. In this work, after modeling of the hall system: Source-multi-cells inverter-nonlinear load, we have developed the LYAPUNOV theory, to have a sinusoidal current and in phase with the input voltage and compensate the reactive energy; the application of the instantaneous power is to regulate the DC bus voltage. The results obtained from Mathlab/Simulink in steady state show that the direct LYAPUNOV control with constant switching frequency (20 KHz) has the acceptable THD of grid current and the robustness against the parametric variations.