The present paper investigates the effectiveness of Finite Set Model Predictive Current Control (FS-MPCC) for Shunt Active Filter SAF and its implementation on real bench. The method uses a Multivariable Filter MVF to extract the fundamental components of currents and voltages of the grid. The predictive control method uses a cost function containing the error of the filtered currents to be controlled. The performances of the control method are revealed throw simulation and experimental results and then commented. The obtained results show that predictive control is a powerful control method for such application in term of tracking performance and quality energy.

The paper presents a LP-Dual Simplex algorithm for linear constrained optimization problems. This approach proposed for the optimal coordination of Directional Over-Current Relays (DOCRs) in compensated distribution power systems with Distribution-FACTS devises i.e. Thyristor Controlled Series Capacitor (TCSC). The optimization problem is subject to a number of constraints which are mainly focused on the operation of the backup relay, which should operate if a primary relay fails to respond to the fault near to it, Time Dial Setting (TDS), Plug Setting (PS) and the minimum operating time of a relay. The system used to check the efficiency of the optimization algorithm which is IEEE 33-bus models.