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Adaptive recursive inverse-based control algorithm for shunt active power filter Abstract: A new adaptive control technique is proposed for a three-phase shunt active power filter (SAPF) in this study. The proposed control algorithm is based on recursive inverse theory which is used here to extract weighted values corresponding to fundamental active and reactive power components of load currents. This adaptive control algorithm possesses advantages over other control algorithms in terms of its reduced computational complexity, fast weight convergence and robust performance in distorted environment. The SAPF is used to mitigate current related power quality problems such as harmonics, reactive power and load unbalancing in both modes of power factor correction and voltage regulation. The performance of proposed control algorithm of SAPF is demonstrated through simulation results in Matlab/Simulink environment, which are validated with test results obtained on the developed experimental prototype of SAPF in the laboratory. Existing system: The performance of SAPF in load compensation depends on the type of control algorithm used for extraction of reference currents. Various time domain control algorithms are reported in the literature. Some conventional control algorithms are based on instantaneous active–reactive (p–q) power theory, which perform better under undistorted balanced voltages, synchronous reference frame theory, power balance theory and improved hysteresis current control of three-level inverter. Other time domain control algorithms are Icosf theory which is designed using analogue controller, simple peak detection-base technique, one cycle control which has robust performance, provides simple and improved harmonic suppression, composite observer based, double deadbeat-loop control method and improved direct power control strategy. Proposed system: In this paper, a recursive inverse (RI)-based control algorithm is proposed for three-phase SAPF. This algorithm is robust under distorted environment, with considerable reduction in computational complexity and achieves faster convergence than RLS algorithm. The weighted values of fundamental active and reactive power components of load currents are extracted and reference supply currents are generated using this algorithm. The proposed algorithm is used for harmonics elimination, reactive power compensation and load balancing in power factor correction (PFC) and voltage regulation modes along with regulation of self-sustained dc bus voltage. The implementation of this algorithm is simple and is based on some mathematical operations such as multiplication, division and addition, for error calculation and weight updation. Circuit diagram: Advantages: This adaptive control algorithm possesses advantages over other control algorithms in terms of its reduced computational complexity, fast weight convergence and robust performance in distorted environment. Reference: 1 Singh, B., Chandra, A., Al-Haddad, K.: ‘Power quality: problems and mitigation techniques’ (John Wiley and Sons, UK, 2015) 2 Ghosh, A., Ledwich, G.: ‘Power quality enhancement using custom power devices’ (Springer International Edition, Delhi, 2009) 3 Akagi, H., Watanabe, E.H., Aredes, M.: ‘Instantaneous power theory and applications to power conditioning’ (John Wiley and Sons, New Jersey, 2007) 4 Singh, B., Al-Haddad, K., Chandra, A.: ‘A review of active filters for power quality improvement’, IEEE Trans. Ind. Electron., 1999, 46, (5), pp. 960–971