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This paper presents an innovative Multi-Stage Proportional Integral Derivative (PID) controller integrated with an N-filter, along with a plus-one (1 + PD) derivative controller PIDn(1 + PD) controller-based Shunt Hybrid Active Filter (SHAF) to compensate for reactive power and harmonics in the distribution network. Harmonic issues primarily arise from the extensive use of non-linear loads in both industrial & residential areas. Harmonics can lead to adverse outcomes, including improper operation of delicate devices, resonant problems, conductor heating, energy losses, and reduced efficiency in the distribution network. To address harmonic problems, passive filters (PFs) are employed; however, as the harmonic components rise, the design of PFs becomes intricate and tends to be oversized. Advances in power electronics have led to the proposal of the Active Filter (AF). Typically, the rating of the AF is quite high for specific applications; thus, SHAFs are created using low-rated Shunt Active Filters (SAF) alongside low-cost Shunt Passive Filters (SPF). The gains of this suggested PIDn(1 + PD) controller, PIDn(1 + PD)C, are refined using an innovative Pelican Optimization Algorithm (POA) technique. In this work, the multi-stage PIDn(1 + PD) controller is utilized here to meet the reference current and control the DC Link Voltage (DLV), and for generating the switching pulses for the voltage source inverter (VSI), a new method, i.e., the adaptive hysteresis current controller (AHCC), is considered. The effectiveness of the suggested POA-PIDn(1 + PD)-controlled AHCC-based SHAF is examined under stable-state and transitory-state conditions using Simulink/MATLAB and real-time settings.
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Mishra et al. (2026) studied this question.
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