Decoupling control and zero dynamics stabilization for shunt hybrid active power filter

An inverse system method based optimal control strategy was proposed for the shunt hybrid active power filter (SHAPF) to enhance its harmonic elimination performance. Based on the inverse system method, the d-axis and q-axis current dynamics of the SHAPF system were decoupled and linearized into two pseudolinear subsystems. Then, an optimal feedback controller was designed for the pseudolinear system, and the stability condition of the resulting zero dynamics was presented. Under the control strategy, the current dynamics can asymptotically converge to their reference states and the zero dynamics can be bounded. Simulation results show that the proposed control strategy is robust against load variations and system parameter mismatches, its steady-state performance is better than that of the traditional linear control strategy.

[1]  Lennart Söder,et al.  On the coordinated control of multiple HVDC links using input–output exact linearization in large power systems , 2012 .

[2]  H. Akagi,et al.  A new approach to harmonic compensation in power systems , 1988, Conference Record of the 1988 IEEE Industry Applications Society Annual Meeting.

[3]  Qiongq Chen,et al.  The application and optimization of C-type filter in a combined harmonic power filter , 2004, 2004 IEEE 35th Annual Power Electronics Specialists Conference (IEEE Cat. No.04CH37551).

[4]  Lorenzo Marconi,et al.  Robust nonlinear control of shunt active filters for harmonic current compensation , 2007, Autom..

[5]  Yuan Ren,et al.  High-Precision Control for a Single-Gimbal Magnetically Suspended Control Moment Gyro Based on Inverse System Method , 2011, IEEE Transactions on Industrial Electronics.

[6]  Wang Yi,et al.  An approximate inverse system control based active DC filter applied in HVDC , 2004, 2004 IEEE 35th Annual Power Electronics Specialists Conference (IEEE Cat. No.04CH37551).

[7]  Geng Yang,et al.  Modeling, Analysis, and Control for the Rectifier of Hybrid HVdc Systems for DFIG-Based Wind Farms , 2011, IEEE Transactions on Energy Conversion.

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

[9]  Maria-Gabriella Di Benedetto,et al.  The nonlinear interactor and its application to input-output decoupling , 1994, IEEE Trans. Autom. Control..

[10]  Dianguo Xu,et al.  A novel sliding mode control of a high-voltage transformerless hybrid shunt active power filter , 2009, 2009 4th IEEE Conference on Industrial Electronics and Applications.

[11]  Luo An,et al.  Prediction control of active power filters , 2003 .

[12]  Kamal Al-Haddad,et al.  A review of active filters for power quality improvement , 1999, IEEE Trans. Ind. Electron..

[13]  S. Srianthumrong,et al.  A medium-voltage transformerless AC/DC power conversion system consisting of a diode rectifier and a shunt hybrid filter , 2002, Conference Record of the 2002 IEEE Industry Applications Conference. 37th IAS Annual Meeting (Cat. No.02CH37344).

[14]  Thomas Kailath,et al.  Linear Systems , 1980 .

[15]  Xianzhong Dai,et al.  MIMO system invertibility and decoupling control strategies based on ANN /spl alpha/th-order inversion , 2001 .

[16]  H. Akagi,et al.  A practical approach to harmonic compensation in power systems-series connection of passive and active filters , 1990, Conference Record of the 1990 IEEE Industry Applications Society Annual Meeting.

[17]  Kamal Al-Haddad,et al.  A Lyapunov-Function-Based Control for a Three-Phase Shunt Hybrid Active Filter , 2012, IEEE Transactions on Industrial Electronics.

[18]  Azah Mohamed,et al.  Comparative study of effectiveness of different var compensation devices in large-scale power networks , 2013 .

[19]  Keiji Wada,et al.  Design and Performance of a Transformerless Shunt Hybrid Filter Integrated Into a Three-Phase Diode Rectifier , 2007, IEEE Transactions on Power Electronics.

[20]  Changchun Hua,et al.  A novel digital control strategy of three-phase shunt active power filter under non-ideal mains voltages , 2011 .

[21]  Tzann-Shin Lee,et al.  Input-output linearization and zero-dynamics control of three-phase AC/DC voltage-source converters , 2003 .

[22]  Jiancheng Fang,et al.  Decoupling Control of Magnetically Suspended Rotor System in Control Moment Gyros Based on an Inverse System Method , 2012, IEEE/ASME Transactions on Mechatronics.