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This study offers a new approach for reference current estimation employing proposed robust extended complex Kalman filter (RECKF) alongside linear quadratic regulator (LQR) strategy in the development of a three-phase shunt active power filter (SAPF) system to enrich power quality. A mathematical model of SAPF is established where LQR methodology is applied for accuracy advancement and it is achievable owing to the incorporation of grid perturbations such as voltage distortion and measurement noise in the representation of the plant to be regulated. A new exponential function introduced in the RECKF algorithm facilitates estimation of the state space variables at the point of common coupling (PCC) and also for the estimation of current references needed for the realization of LQR considering above said grid perturbations. The major benefit behind this proposed RECKF-LQR based SAPF system is selfsupervising dc-link voltage without concerning over external proportional integral (PI) controller. The proposed RECKF-LQR method is implemented utilizing MATLAB/SIMULINK and also real-time digital simulator Opal-RT is carried out to support the simulation results. The results attained employing the proposed SAPF system together with some variants of Kalman filters (Kalman filter (KF), extended KF (EKF) and extended complex KF (ECKF)) are evaluated and it is observed that the proposed RECKF-LQR methodology exhibits better performance in terms of percentage total harmonic distortion and reference tracking action in the SAPF system.

Robust Extended Complex Kalman Filter Based LQR Control Strategy of Shunt Active Power Filter