Robust high-order repetitive control of an active filter using an odd-harmonic internal model

Shunt active power filters have proven to be an efficient means to compensate for the negative effects of nonlinear and reactive loads on the power quality of the electrical distribution network. In this context, the control objective is to achieve a power factor close to 1, as well as load current harmonics and reactive power compensation. A useful control strategy for this purpose is repetitive control. However, the performance of repetitive controllers is strongly affected by frequency variations of the involved signals. This work analyzes the effect of such variations and describes the architecture of an odd-harmonic, high-order repetitive controller specifically designed to obtain robust closed-loop performance against frequency variations that may occur in the electrical network.

[1]  Bruce A. Francis,et al.  The internal model principle of control theory , 1976, Autom..

[2]  Siep Weiland,et al.  Design of noise and period-time robust high-order repetitive control, with application to optical storage , 2007, Autom..

[3]  Maarten Steinbuch,et al.  Repetitive control for systems with uncertain period-time , 2002, Autom..

[4]  Il Hong Suh,et al.  Analysis and design of two types of digital repetitive control systems , 1993, Autom..

[5]  Gerard Ledwich,et al.  Adaptive Repetitive Control to Track Variable Periodic Signals with Fixed Sampling Rate , 2002 .

[6]  Ramon Costa-Castelló,et al.  High-Performance Control of a Single-Phase Shunt Active Filter , 2009, IEEE Transactions on Control Systems Technology.

[7]  Tsu-Chin Tsao,et al.  Periodic Sampling Interval Repetitive Control and Its Application to Variable Spindle Speed Noncircular Turning Process , 2000 .

[8]  Masayoshi Tomizuka,et al.  Analysis and Synthesis of Discrete-Time Repetitive Controllers , 1989 .

[9]  Kamal Al-Haddad,et al.  A new control approach to three-phase active filter for harmonics and reactive power compensation , 1998 .

[10]  Sewan Choi.  A three-phase unity-power-factor diode rectifier with active input current shaping , 2005, IEEE Transactions on Industrial Electronics.

[11]  Gunnar Hillerström.  On repetitive control , 1994 .

[12]  T. Inoue,et al.  Practical repetitive control system design , 1990, 29th IEEE Conference on Decision and Control.

[13]  Paolo Mattavelli,et al.  A Negative Feedback Repetitive Control Scheme for Harmonic Compensation , 2006, IEEE Transactions on Industrial Electronics.

[14]  Jan Swevers,et al.  Robust high-order repetitive control: Optimal performance trade-offs , 2008, Autom..

[15]  Ramon Costa-Castelló,et al.  Demonstration of the internal model principle by digital repetitive control of an educational laboratory plant , 2005, IEEE Transactions on Education.

[16]  Paolo Mattavelli,et al.  Comparison of current control techniques for active filter applications , 1998, IEEE Trans. Ind. Electron..

[17]  Paolo Mattavelli.  A closed-loop selective harmonic compensation for active filters , 2001 .

[18]  Tsu-Chin Tsao,et al.  Repetitive Control for Asymptotic Tracking of Periodic Signals With an Unknown Period , 2000 .

[19]  M. Hernandez-Gomez,et al.  Power factor correction with an active filter using a repetitive controller , 2006, 2006 IEEE International Symposium on Industrial Electronics.

[20]  Robert Grino,et al.  Digital repetitive plug-in controller for odd-harmonic periodic references and disturbances , 2005, Autom..