Research of State Exact Feedback Linearization Control of Shunt Single-Phase Active Power Filter

The paper presents a nonlinear control strategy for single-phase active power filter applying exact feedback linearization theory, since this technique has been successfully applied to other area of power electronic. Using the state-space average modeling method, a nonlinear affine mode of single-phase shunt active power filter is set up. It is testified that the model is satisfied with the condition of exact feedback linearization. Further, the nonlinear output function is derived. So the system model can be linearized by means of a nonlinear transformation. After that, the feedback coefficients are selected using optimization theory. In order to validate the correctness and validity, the operation of control circuit has been explained using MATLAB software and simulation. The simulation result shows that the single-phase active power filter applied the proposed control strategy has well stability and dynamic character.