NDLI: Electrical energy quality: Modeling and H$^{∞}$ control of a three-phase shunt active filter

Content Provider	Springer Nature Link
Author	Chaer, Toufic Rambault, Laurent Gaubert, Jean Paul
Copyright Year	2012
Abstract	The main contribution of the paper is the modeling approach used to describe a pure threephase shunt active filter, and the application of the H$^{∞}$ control design tool in order to improve the quality of electrical energy. Advanced power electronics devices have widely contributed to the degradation of power quality due to the injection of non-sinusoïdal currents into the utility system. Therefore, it is essential to use an active compensator which can attenuate current harmonics to an acceptable level on the line side of the power source. In this work, a three-phase active filter connected in parallel to a supply system feeding a non-linear load is described, in a complex framework, by a linear multivariable state space representation in order to guarantee that the system is mathematically decoupled and therefore to simplify the controller design. This representation includes a sensor to measure perturbations, and allows one to calculate a linear robust control law. The originality of this paper is that a Linear Matrix Inequality based H$^{∞}$ synthesis is performed to design a static state feedback controller with complex-valued parameters. The robustness of this controller with respect to network impedance uncertainties is investigated. Moreover, simulation and experimental results are given to reveal the effectiveness of the synthesized control law.
Starting Page	36
Ending Page	49
Page Count	14
File Format	PDF
ISSN	15986446
Journal	International Journal of Control, Automation and Systems
Volume Number	10
Issue Number	1
e-ISSN	20054092
Language	English
Publisher	Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers
Publisher Date	2012-02-04
Publisher Place	Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Active filters complex-valued filters energy quality H$^{∞}$ control harmonics linear matrix inequalities Control, Robotics, Mechatronics
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Computer Science Applications

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