978-1-7281-6921-7/20/$31.00 ©2020 IEEE. Advanced Nonlinear Control of Single Phase Half Bridge Series Active Power Filter Younes ABOUELMAHJOUB Science Engineer Laboratory for Energy (LabSIPE) at National School of Applied Sciences Chouaib Doukkali University EL Jadida, Morocco younes.profagrege@gmail.com Abdelkhalek CHELLAKHI Science Engineer Laboratory for Energy (LabSIPE) at National School of Applied Sciences Chouaib Doukkali University EL Jadida, Morocco chellakhi.a@ucd.ac.ma Said EL BEID Équipe Contrôle et Informatique pour les Systèmes Intelligents et Energie Verte (CISIEV) National School of Applied Sciences Cadi Ayyad University Marrakesh, Morocco elbeid.s@ucd.ac.ma Hassan ABOUOBAIDA Science Engineer Laboratory for Energy (LabSIPE) at National School of Applied Sciences Chouaib Doukkali University EL Jadida, Morocco hassanabouobaida@gmail.com Abstract—This work addresses the problem of controlling single-phase half bridge series active power filter (SAPF) in presence of perturbations in single-phase power supply grid voltage. The control objective of the SAPF is to compensate the voltage perturbations (voltage harmonics and voltage sags) in order to protect the sensitive load against the disturbances mentioned above. A nonlinear controller is designed, using the Backstepping technique, to cope with the compensation issue. A stability analysis is carried out using average theory to describe the control performances. These latter have been validated by numerical simulation in MATLAB/ SIMULINK. Keywords—Active Power Filter, Nonlinear control, Lyapunov stability, Averaging theory. I. INTRODUCTION The harmonics represent a serious problem in power grid system. Indeed, the increasing use of devices that have non linear current consumption such as rectifiers, UPS (Uninterruptible Power Supply), arc furnaces, switching power supplies cause serious problems in power grid system. These devices are responsible for the contamination of current, flowing between the power grid and the nonlinear load, with harmonics of various orders. The harmonics of this current circulating through the grid impedance produce distortion in the power system voltage; this distortion causes several power quality problems, including the incorrect operation of some sensitive loads. The use of SAPF’s is an appropriate solution to protect the sensitive load against voltage perturbations (e.g. [1-4]). In most previous works, we note that researchers neglect the impedance of the power grid (e.g. [1], [3]), this impedance is always present in the electrical model of the power grid and it plays a very important role. Now, regarding the control of the SAPF, the researchers often use a control strategies based on the instantaneous power method (e.g. [1], [5]) to cope with the compensation problem. In this work, we propose a control strategy based on more accurate model (with non-negligible grid impedance) of half bridge SAPF meeting the main objective: compensation of the voltage perturbations (voltage harmonics and voltage sags) at power grid in order to protect the sensitive load. To achieve the above main objective, we build up a nonlinear controller designed, using Backstepping technique, to ensure the above compensation issue. A rigorous analysis on the stability of the overall control system in closed-loop is developed to show that the proposed control system achieves the main objective for which it was designed. The IGBT’s of circuit operate with the PWM control (e.g. [6-9]). This paper is organized as follows: Section 2 is devoted to the description and modelling of single-phase series active power filter, the synthesis of controller is developed in section 3. The stability analysis of closed-loop control system is presented in Section 4. Controller performances are illustrated by simulation in Section 5. The conclusion ends the paper. II. System Description and Modeling A. Series Active Power Filter Topology The single-phase SAPF under study has the structure of Fig. 1. It consists of a single phase IGBT-diode based half- bridge converter. In the DC side, it has two capacitors of identical values C . In the AC side, the SAPF is inserted between the disturbed power grid and a sensitive load, a second order   , , f f f R L C passive filter connects the inverter to power grid through an injection of voltage supplied by current transformer. The electrical grid is modeled by a non sinusoidal AC voltage source in series with an internal impedance ( n R , n L ). Fig. 1. Single-phase SAPF. B A v n i f v L C S 1 S 2 L f R f v AB v p i s i 1 C f i 2 µ C L n R n v 1 v 2 Sensitive load v s L o i n v pcc 2020 IEEE 2nd International Conference on Electronics, Control, Optimization and Computer Science (ICECOCS) | 978-1-7281-6921-7/20/$31.00 ©2020 IEEE | DOI: 10.1109/ICECOCS50124.2020.9314451 Authorized licensed use limited to: Univ of Calif Santa Barbara. Downloaded on June 20,2021 at 16:44:43 UTC from IEEE Xplore. Restrictions apply.