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Title: Modern control of a three-phase pulse-width modulated voltage source inverter
Authors: Chaer, Toufic Al
Rambault, Laurent
Gaubert, Jean-Paul
Najjar, Maged B. 
Affiliations: Department of Computer Engineering 
Keywords: State feedback
Control system synthesis
H∞ control
Linear matrix inequalities
Power harmonic filters
PWM invertors
Issue Date: 2015
Publisher: IEEE
Part of: European Control Conference (ECC)
Start page: 5740
End page: 5746
Conference: European Control Conference (ECC) (2-5 July 2007 : Kos, Greece) 
In this paper, a linear state space model is realized for a three-phase shunt active power filter used to prevent the propagation of current harmonics into the power source. Different transformations are then applied to this model in order to include a parameter used to extract desired frequency components and achieve decoupling between phases. The latter can be done through the representation of the system in a complex framework in which the design of a stabilizing controller is simplified. The contribution of this work is the application of modern control theory on a three-phase power system. A Linear Matrix Inequality (LMI) based H∞ synthesis is performed in order to design a static state feedback controller with complex-valued parameters used to command appropriately a three-phase pulse-width modulated voltage source inverter so that the active filter is capable of compensating current harmonics demanded by non linear loads. The effectiveness of the synthesized H∞ controller is validated through numerical simulations and its robustness with respect to network impedance uncertainties is investigated.
Ezproxy URL: Link to full text
Type: Conference Paper
Appears in Collections:Department of Computer Engineering

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