Three-Phase Grid Connected Shunt Active Power Filter Based on Adaptive Q-LMF Control Technique

This article discusses the effectiveness of quantum calculus-based least mean fourth (q-LMF) based control for a 3\emptyset grid-connected photovoltaic (PV) shunt active power filter (SAPF). A PV array is utilized in the proposed system. Using the q-LMF-based controlling approach, the fundamental active load component is derived through the load current. The conventional LMF-based control scheme has been modified with the addition of the parameter "q". The variation of "q" influences the working performance of the designed controller. A modified complex coefficient filter is used to extract the filtered point of common coupling (PCC) voltage under a weak and distorted grid. In the current control mode, the SAPF feeds the appropriate compensatory current at the PCC to minimize current harmonics from the supply structure. The article also demonstrates real-time training of the algorithm for different q-LMF factors. The proposed system is initially modeled in MATLAB/Simulink, and the simulation results are validated using experimental findings. A hardware SAPF prototype is developed utilizing current/voltage sensors and MicroLabBox. Furthermore, a comparison of the least mean square, LMF, and the proposed q-LMF-based load compensation control method has been tested under steady-state conditions, load unbalancing, and weak grid. The three control schemes are analyzed in terms of convergence time, oscillations, source current total harmonic distortion (THD), and computational load. The proposed control scheme is found superior to others.