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A partial feedback linearization based control design and simulation for three phase shunt active power filter
Affiliation:1. Department of Electrical Engineering, National Institute of Technology Rourkela, India;2. Department of Electrical and Electronic Engineering, Nanyang Technological University, Singapore;1. University of Belgrade, Technical Faculty in Bor, V.J. 12, 19210 Bor, Serbia;2. DIMES, University of Calabria, Via Pietro Bucci cube 44, 87036 Rende (CS), Italy;1. Department of Cartographic Engineering, Geodesy and Photogrammetry, School of Civil Engineering (UPV), 46022 Valencia, Spain;2. Department of Graphic Expression in Architecture, School of Architecture (UPV), 46022 Valencia, Spain;3. Polytechnic High School of Lugo, University of Santiago de Compostela, 27002 Lugo, Spain;1. Department of Mechanical Engineering, Polytechnique Montréal, Montréal, QC H3T 1J4, Canada;2. Department of Mechanical Engineering, École de Technologie Supérieure, Montréal, QC H3C 1K3, Canada;3. Department of Engineering Physics, Polytechnique Montréal, Montréal, QC H3T 1J4, Canada;1. Department of Automobile Engineering, Military Transportation University, Tianjin 300161, China;2. Department of Mechanical Engineering, Tianjin University, Tianjin 300072, China
Abstract:This paper exploited partial feedback linearization technique to control design of a three phase shunt active power filter (APF) by considering it as a Multiple Input Multiple Output (MIMO) system. The averaged dynamic model of the three phase APF has been derived considering the single phase equivalent circuit of the system. This averaged dynamic model is used to partially feedback linearize the MIMO nonlinear system dynamics. New control input to the linearized system is obtained considering the stability of the complete APF system. After that, control input to APF is derived by nonlinear transformation. Stability of the internal dynamics of the system is analyzed considering zero dynamics of the system. MATLAB/Simulink based simulation results are provided to validate the performance of the controller.
Keywords:Partial feedback linearization  Averaged dynamic model  Active power filter  Harmonics
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