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

This paper proposes, the effectiveness of quantum calculus-based least mean fourth (q-LMF) based control for a 3∅ 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 q-LMF-based load compensation control method has been tested under steady-state conditions, load unbalancing, and weak grid. The proposed system is initially modelled in MATLAB/Simulink, 2018a software.

Keywords:  Power quality, q calculus, quantum calculus-based least mean fourth (q-LMF), shunt active power filter (SAPF), Voltage Source Inverter (VSI).