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This paper proposes a model predictive current control (MPCC) method with duty cycle control based on the Runge–Kutta approximation compared to the Forward Euler Approximation for grid-connected three-phase inverters with output LCL filter. Hence, results of proposed MPCC methods alongside of the conventional MPCC have been investigated to find the best strategy. First, all 7 possible switching states have been checked by the discrete-time system model based on two approximation methods to select a state that minimizes the cost function. However, at this stage only one voltage vector is chosen during one control period, which cannot decrease the current ripples to a minimum value. Hence, for having sufficient performance, the sampling frequency is necessary to be selected high. Then, the idea of duty cycle optimization has been introduced by using two voltage vectors (a non-zero and a zero voltage vector) during one control period. Therefore, the duration of two voltage vectors have been defined according to the principle of current error minimization. Finally, the effectiveness of the proposed MPCC method based on the Runge–Kutta approximation has been verified by MATLAB/Simulink and experimental results exhibit a better steady-state performance with less sampling frequency as compared to the conventional strategy.

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A CLC filter with shunt APF is presented, which focuses on harmonic current mitigation. This paper's main aim is to conduct a comprehensive comparative analysis between LCL and CLC filters with Shunt APF for harmonic current compensation in electric power network owing to nonlinear devices associated to the grids. The suggested CLC filter contains the conventional parameters of LCL filter but connected in the Nominal pi (π) configuration. Similar parameters were used for the T-network (LCL) and nominal pi (π) network (CLC) configurations. The behavior of these filters was proven by simulation using shunt APF in MATLAB/Simulink. The CLC and LCL filters using passive damping were analyzed. The CLC filter displays better current harmonic compensation but the capacitor (C 1 ) branch has relatively high current, as compared to LCL. Due to the high current which will lead to high power losses in the capacitor branch of the filter; its development for small power application will be highly recommended.

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