Direct Lyapunov control (DLC) technique for distributed generation (DG) technology

In this paper, a control model based on direct Lyapunov control theory is proposed for integration of distributed generation (DG) sources into the power grid. As a first step, the proposed model will be elaborated in steady state, and then proper switching state functions will be defined for control of interfacing system between the DG sources and power grid. By setting appropriate compensation current references in the control loop of the proposed model, the active, reactive, and harmonic current components of loads will be compensated with a fast dynamic response, thereby achieving sinusoidal grid currents in phase with load voltages, while required power from grid-connected load is more than the maximum injected power from the DG sources to the grid. Using simulation, the effectiveness of the proposed control scheme is demonstrated under steady-state and dynamic operating conditions. The demonstration shows that the proposed control model aims to: (1) uphold a unity value for the power factor of the grid by injection of reactive power; and (2) reducing the harmonic current distortion of the grid current by injection of harmonic current components of loads, under continuous injection of maximum available active power from the DG source to the power grid.