Abstract

This paper proposes a methodology for the active and reactive power flow control, applied to a low voltage grid-tie three-phase power inverter. The control technique is designed by means of feedback linearization and the pole placement is obtained using Linear Matrix Inequalities (LMIs) together with D-stability concepts. Through multi-loop control, the power loop uses adapted active and reactive power transfer expressions, in order to obtain the magnitude of the voltage and the power transfer angle to control the power flow between the distributed generation (DG) and the utility grid. The state-feedback linearization technique is applied at the whole control system in order to minimize the nonlinearities of the system, improving the controller's performance and mitigating potential disturbances. The methodology main idea is to obtain the best controllers with the lowest gains as possible placing the poles in the left-half s-plane region specified during the design procedure, resulting in fast responses with reduced oscillations. Demonstrating the feasibility of the proposal a 3kVA three-phase prototype was experimentally implemented. Furthermore, experimental results demonstrate anti-islanding detection and protection against over/under voltage and frequency deviations.

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