We address the challenge of controlling a single-phase shunt active power filter in the presence of nonlinear loads. The active power filter is linked to a photovoltaic (PV) system, which supplies active power to the load. The main control objectives are: (i) mitigation of harmonics current and reactive power induced by the non-linear load; (ii) regulation the PV generator output voltage to follow its reference provided by the Maximum Power Point Tracking (MPPT) block, (iii) regulation the DC bus voltage to a constant value that must be greater than the amplitude of the grid voltage in order to guarantee full power injection to the non-linear load. To solve this problem, we use a nonlinear multi-loop controller. The inner loop is designed using the Backstepping method to cope with compensation problems. The external loop is responsible for regulating the dc bus voltage. The DC-DC boost control loop is designed to achieve the MPPT objective. The efficiency of the proposed controller is validated by simulation in MATLAB/Simulink.
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