Power Quality Enhancement using Integrated Control Technique Quantum Calculus-based Least Mean Fourth and Optimized Fractional Order Proportional-Integral-Derivative

Abstract This article proposes the effectiveness of a Dynamic Voltage Restorer (DVR) based on Quantum Calculus-based Least Mean Fourth (q-LMF) for compensating the impact of grid voltage perturbation. The adaptive controlling technique q-LMF is utilized for the computation of the fundamental active load voltage component derived from the polluted grid voltage. The proposed technique is inspired by the conventional Least Mean Fourth (LMF) scheme with the addition of the "q" variable. The adaptation of "q" improves the performance of the controller. A modified complex coefficient filter is used to extract the filtered Point of Intersection (PoI) voltage under a disturbed grid. The DVR feeds the appropriate compensatory voltage at the PoI to minimize voltage disturbances and restores the load voltage magnitude. The capacitor voltage of the DC bus is stabilized with a Fractional Order PID, and its parameters are tuned with a Pelican optimizer. The proposed control technique has achieved significant advancement with quicker settling time (0.15 s), reduced overshoot (2.4%), and undershoot (5.6%). Furthermore, less compensated time of 0.008 s is required during a sag. The proposed DVR system is initially modeled in MATLAB/Simulink and corroborated using laboratory experimentation. Additionally, a comparative study is shown to justify the superiority of the proposed q-LMF over the Least Mean Square and LMF control methods in terms of weight oscillations, voltage THD, and statistical indices like rise time, settling time, and overshoot. The experimental results are carried out for the validation of the developed control strategy. Cite this article as: P. Kumar and S. Raj Arya, "Power quality enhancement using integrated control technique q-LMF and optimized FOPID," Electrica, 24(3), 826-836, 2024.